id sid tid token lemma pos cord-132120-u5s5heqm 1 1 key key JJ cord-132120-u5s5heqm 1 2 : : : cord-132120-u5s5heqm 1 3 cord-132120-u5s5heqm cord-132120-u5s5heqm NNS cord-132120-u5s5heqm 1 4 authors author NNS cord-132120-u5s5heqm 1 5 : : : cord-132120-u5s5heqm 1 6 Dempsey Dempsey NNP cord-132120-u5s5heqm 1 7 , , , cord-132120-u5s5heqm 1 8 Walter Walter NNP cord-132120-u5s5heqm 1 9 title title NN cord-132120-u5s5heqm 1 10 : : : cord-132120-u5s5heqm 1 11 The the DT cord-132120-u5s5heqm 1 12 Hypothesis Hypothesis NNP cord-132120-u5s5heqm 1 13 of of IN cord-132120-u5s5heqm 1 14 Testing Testing NNP cord-132120-u5s5heqm 1 15 : : : cord-132120-u5s5heqm 1 16 Paradoxes paradox NNS cord-132120-u5s5heqm 1 17 arising arise VBG cord-132120-u5s5heqm 1 18 out out IN cord-132120-u5s5heqm 1 19 of of IN cord-132120-u5s5heqm 1 20 reported report VBN cord-132120-u5s5heqm 1 21 coronavirus coronavirus NN cord-132120-u5s5heqm 1 22 case case NN cord-132120-u5s5heqm 1 23 - - HYPH cord-132120-u5s5heqm 1 24 counts count VBZ cord-132120-u5s5heqm 1 25 date date NN cord-132120-u5s5heqm 1 26 : : : cord-132120-u5s5heqm 1 27 2020 2020 CD cord-132120-u5s5heqm 1 28 - - HYPH cord-132120-u5s5heqm 1 29 05 05 CD cord-132120-u5s5heqm 1 30 - - SYM cord-132120-u5s5heqm 1 31 21 21 CD cord-132120-u5s5heqm 1 32 journal journal NN cord-132120-u5s5heqm 1 33 : : : cord-132120-u5s5heqm 2 1 nan nan NNP cord-132120-u5s5heqm 2 2 DOI DOI NNP cord-132120-u5s5heqm 2 3 : : : cord-132120-u5s5heqm 2 4 nan nan NNP cord-132120-u5s5heqm 2 5 sha sha NNP cord-132120-u5s5heqm 2 6 : : : cord-132120-u5s5heqm 3 1 c60c4f3b241366850be0dc27c367701c783e7ff9 c60c4f3b241366850be0dc27c367701c783e7ff9 NNP cord-132120-u5s5heqm 3 2 doc_id doc_id CD cord-132120-u5s5heqm 3 3 : : : cord-132120-u5s5heqm 3 4 132120 132120 CD cord-132120-u5s5heqm 3 5 cord_uid cord_uid NNS cord-132120-u5s5heqm 3 6 : : : cord-132120-u5s5heqm 3 7 u5s5heqm u5s5heqm . cord-132120-u5s5heqm 4 1 Many many JJ cord-132120-u5s5heqm 4 2 statisticians statistician NNS cord-132120-u5s5heqm 4 3 , , , cord-132120-u5s5heqm 4 4 epidemiologists epidemiologist NNS cord-132120-u5s5heqm 4 5 , , , cord-132120-u5s5heqm 4 6 economists economist NNS cord-132120-u5s5heqm 4 7 and and CC cord-132120-u5s5heqm 4 8 data datum NNS cord-132120-u5s5heqm 4 9 scientists scientist NNS cord-132120-u5s5heqm 4 10 have have VBP cord-132120-u5s5heqm 4 11 registered register VBN cord-132120-u5s5heqm 4 12 serious serious JJ cord-132120-u5s5heqm 4 13 reservations reservation NNS cord-132120-u5s5heqm 4 14 regarding regard VBG cord-132120-u5s5heqm 4 15 the the DT cord-132120-u5s5heqm 4 16 reported report VBN cord-132120-u5s5heqm 4 17 coronavirus coronavirus NN cord-132120-u5s5heqm 4 18 case case NN cord-132120-u5s5heqm 4 19 - - HYPH cord-132120-u5s5heqm 4 20 counts count NNS cord-132120-u5s5heqm 4 21 . . . cord-132120-u5s5heqm 5 1 Limited limited JJ cord-132120-u5s5heqm 5 2 testing testing NN cord-132120-u5s5heqm 5 3 capacity capacity NN cord-132120-u5s5heqm 5 4 across across IN cord-132120-u5s5heqm 5 5 the the DT cord-132120-u5s5heqm 5 6 country country NN cord-132120-u5s5heqm 5 7 has have VBZ cord-132120-u5s5heqm 5 8 been be VBN cord-132120-u5s5heqm 5 9 widely widely RB cord-132120-u5s5heqm 5 10 identified identify VBN cord-132120-u5s5heqm 5 11 as as IN cord-132120-u5s5heqm 5 12 a a DT cord-132120-u5s5heqm 5 13 key key JJ cord-132120-u5s5heqm 5 14 driver driver NN cord-132120-u5s5heqm 5 15 of of IN cord-132120-u5s5heqm 5 16 suppressed suppress VBN cord-132120-u5s5heqm 5 17 coronavirus coronavirus NN cord-132120-u5s5heqm 5 18 case case NN cord-132120-u5s5heqm 5 19 - - HYPH cord-132120-u5s5heqm 5 20 counts count NNS cord-132120-u5s5heqm 5 21 . . . cord-132120-u5s5heqm 6 1 The the DT cord-132120-u5s5heqm 6 2 calls call NNS cord-132120-u5s5heqm 6 3 to to TO cord-132120-u5s5heqm 6 4 increase increase VB cord-132120-u5s5heqm 6 5 testing testing NN cord-132120-u5s5heqm 6 6 capacity capacity NN cord-132120-u5s5heqm 6 7 are be VBP cord-132120-u5s5heqm 6 8 well well RB cord-132120-u5s5heqm 6 9 - - HYPH cord-132120-u5s5heqm 6 10 justified justify VBN cord-132120-u5s5heqm 6 11 as as IN cord-132120-u5s5heqm 6 12 they -PRON- PRP cord-132120-u5s5heqm 6 13 become become VBP cord-132120-u5s5heqm 6 14 a a DT cord-132120-u5s5heqm 6 15 more more RBR cord-132120-u5s5heqm 6 16 frequent frequent JJ cord-132120-u5s5heqm 6 17 point point NN cord-132120-u5s5heqm 6 18 of of IN cord-132120-u5s5heqm 6 19 discussion discussion NN cord-132120-u5s5heqm 6 20 in in IN cord-132120-u5s5heqm 6 21 the the DT cord-132120-u5s5heqm 6 22 public public JJ cord-132120-u5s5heqm 6 23 sphere sphere NN cord-132120-u5s5heqm 6 24 . . . cord-132120-u5s5heqm 7 1 While while IN cord-132120-u5s5heqm 7 2 expanded expand VBN cord-132120-u5s5heqm 7 3 testing testing NN cord-132120-u5s5heqm 7 4 is be VBZ cord-132120-u5s5heqm 7 5 a a DT cord-132120-u5s5heqm 7 6 laudable laudable JJ cord-132120-u5s5heqm 7 7 goal goal NN cord-132120-u5s5heqm 7 8 , , , cord-132120-u5s5heqm 7 9 selection selection NN cord-132120-u5s5heqm 7 10 bias bias NN cord-132120-u5s5heqm 7 11 will will MD cord-132120-u5s5heqm 7 12 impact impact VB cord-132120-u5s5heqm 7 13 estimates estimate NNS cord-132120-u5s5heqm 7 14 of of IN cord-132120-u5s5heqm 7 15 disease disease NN cord-132120-u5s5heqm 7 16 prevalence prevalence NN cord-132120-u5s5heqm 7 17 and and CC cord-132120-u5s5heqm 7 18 the the DT cord-132120-u5s5heqm 7 19 effective effective JJ cord-132120-u5s5heqm 7 20 reproduction reproduction NN cord-132120-u5s5heqm 7 21 number number NN cord-132120-u5s5heqm 7 22 until until IN cord-132120-u5s5heqm 7 23 the the DT cord-132120-u5s5heqm 7 24 entire entire JJ cord-132120-u5s5heqm 7 25 population population NN cord-132120-u5s5heqm 7 26 is be VBZ cord-132120-u5s5heqm 7 27 sampled sample VBN cord-132120-u5s5heqm 7 28 . . . cord-132120-u5s5heqm 8 1 Moreover moreover RB cord-132120-u5s5heqm 8 2 , , , cord-132120-u5s5heqm 8 3 tests test NNS cord-132120-u5s5heqm 8 4 are be VBP cord-132120-u5s5heqm 8 5 imperfect imperfect JJ cord-132120-u5s5heqm 8 6 as as IN cord-132120-u5s5heqm 8 7 false false JJ cord-132120-u5s5heqm 8 8 positive positive JJ cord-132120-u5s5heqm 8 9 / / SYM cord-132120-u5s5heqm 8 10 negative negative JJ cord-132120-u5s5heqm 8 11 rates rate NNS cord-132120-u5s5heqm 8 12 interact interact VBP cord-132120-u5s5heqm 8 13 in in IN cord-132120-u5s5heqm 8 14 complex complex JJ cord-132120-u5s5heqm 8 15 ways way NNS cord-132120-u5s5heqm 8 16 with with IN cord-132120-u5s5heqm 8 17 selection selection NN cord-132120-u5s5heqm 8 18 bias bias NN cord-132120-u5s5heqm 8 19 . . . cord-132120-u5s5heqm 9 1 In in IN cord-132120-u5s5heqm 9 2 this this DT cord-132120-u5s5heqm 9 3 paper paper NN cord-132120-u5s5heqm 9 4 , , , cord-132120-u5s5heqm 9 5 we -PRON- PRP cord-132120-u5s5heqm 9 6 attempt attempt VBP cord-132120-u5s5heqm 9 7 to to TO cord-132120-u5s5heqm 9 8 clarify clarify VB cord-132120-u5s5heqm 9 9 this this DT cord-132120-u5s5heqm 9 10 interaction interaction NN cord-132120-u5s5heqm 9 11 . . . cord-132120-u5s5heqm 10 1 Through through IN cord-132120-u5s5heqm 10 2 simple simple JJ cord-132120-u5s5heqm 10 3 calculations calculation NNS cord-132120-u5s5heqm 10 4 , , , cord-132120-u5s5heqm 10 5 we -PRON- PRP cord-132120-u5s5heqm 10 6 demonstrate demonstrate VBP cord-132120-u5s5heqm 10 7 pitfalls pitfall NNS cord-132120-u5s5heqm 10 8 and and CC cord-132120-u5s5heqm 10 9 paradoxes paradox NNS cord-132120-u5s5heqm 10 10 that that WDT cord-132120-u5s5heqm 10 11 can can MD cord-132120-u5s5heqm 10 12 arise arise VB cord-132120-u5s5heqm 10 13 when when WRB cord-132120-u5s5heqm 10 14 considering consider VBG cord-132120-u5s5heqm 10 15 case case NN cord-132120-u5s5heqm 10 16 - - HYPH cord-132120-u5s5heqm 10 17 count count NN cord-132120-u5s5heqm 10 18 data datum NNS cord-132120-u5s5heqm 10 19 in in IN cord-132120-u5s5heqm 10 20 the the DT cord-132120-u5s5heqm 10 21 presence presence NN cord-132120-u5s5heqm 10 22 of of IN cord-132120-u5s5heqm 10 23 selection selection NN cord-132120-u5s5heqm 10 24 bias bias NN cord-132120-u5s5heqm 10 25 and and CC cord-132120-u5s5heqm 10 26 measurement measurement NN cord-132120-u5s5heqm 10 27 error error NN cord-132120-u5s5heqm 10 28 . . . cord-132120-u5s5heqm 11 1 The the DT cord-132120-u5s5heqm 11 2 discussion discussion NN cord-132120-u5s5heqm 11 3 guides guide VBZ cord-132120-u5s5heqm 11 4 several several JJ cord-132120-u5s5heqm 11 5 suggestions suggestion NNS cord-132120-u5s5heqm 11 6 on on IN cord-132120-u5s5heqm 11 7 how how WRB cord-132120-u5s5heqm 11 8 to to TO cord-132120-u5s5heqm 11 9 improve improve VB cord-132120-u5s5heqm 11 10 current current JJ cord-132120-u5s5heqm 11 11 case case NN cord-132120-u5s5heqm 11 12 - - HYPH cord-132120-u5s5heqm 11 13 count count NN cord-132120-u5s5heqm 11 14 reporting reporting NN cord-132120-u5s5heqm 11 15 . . . cord-132120-u5s5heqm 12 1 The the DT cord-132120-u5s5heqm 12 2 World World NNP cord-132120-u5s5heqm 12 3 Health Health NNP cord-132120-u5s5heqm 12 4 Organization Organization NNP cord-132120-u5s5heqm 12 5 has have VBZ cord-132120-u5s5heqm 12 6 declared declare VBN cord-132120-u5s5heqm 12 7 the the DT cord-132120-u5s5heqm 12 8 coronavirus coronavirus NN cord-132120-u5s5heqm 12 9 disease disease NN cord-132120-u5s5heqm 12 10 2019 2019 CD cord-132120-u5s5heqm 12 11 ( ( -LRB- cord-132120-u5s5heqm 12 12 COVID-19 COVID-19 NNP cord-132120-u5s5heqm 12 13 ) ) -RRB- cord-132120-u5s5heqm 12 14 a a DT cord-132120-u5s5heqm 12 15 public public JJ cord-132120-u5s5heqm 12 16 health health NN cord-132120-u5s5heqm 12 17 emergency emergency NN cord-132120-u5s5heqm 12 18 . . . cord-132120-u5s5heqm 13 1 As as IN cord-132120-u5s5heqm 13 2 of of IN cord-132120-u5s5heqm 13 3 April April NNP cord-132120-u5s5heqm 13 4 27th 27th NN cord-132120-u5s5heqm 13 5 , , , cord-132120-u5s5heqm 13 6 2020 2020 CD cord-132120-u5s5heqm 13 7 , , , cord-132120-u5s5heqm 13 8 a a DT cord-132120-u5s5heqm 13 9 total total NN cord-132120-u5s5heqm 13 10 of of IN cord-132120-u5s5heqm 13 11 2,993,000 2,993,000 CD cord-132120-u5s5heqm 13 12 cases case NNS cord-132120-u5s5heqm 13 13 have have VBP cord-132120-u5s5heqm 13 14 been be VBN cord-132120-u5s5heqm 13 15 confirmed confirm VBN cord-132120-u5s5heqm 13 16 worldwide worldwide RB cord-132120-u5s5heqm 13 17 . . . cord-132120-u5s5heqm 14 1 The the DT cord-132120-u5s5heqm 14 2 New New NNP cord-132120-u5s5heqm 14 3 York York NNP cord-132120-u5s5heqm 14 4 Times Times NNP cord-132120-u5s5heqm 14 5 reports report VBZ cord-132120-u5s5heqm 14 6 at at IN cord-132120-u5s5heqm 14 7 least least JJS cord-132120-u5s5heqm 14 8 965,214 965,214 CD cord-132120-u5s5heqm 14 9 people people NNS cord-132120-u5s5heqm 14 10 across across IN cord-132120-u5s5heqm 14 11 the the DT cord-132120-u5s5heqm 14 12 United United NNP cord-132120-u5s5heqm 14 13 States States NNP cord-132120-u5s5heqm 14 14 have have VBP cord-132120-u5s5heqm 14 15 tested test VBN cord-132120-u5s5heqm 14 16 positive positive JJ cord-132120-u5s5heqm 14 17 for for IN cord-132120-u5s5heqm 14 18 the the DT cord-132120-u5s5heqm 14 19 virus virus NN cord-132120-u5s5heqm 14 20 , , , cord-132120-u5s5heqm 14 21 and and CC cord-132120-u5s5heqm 14 22 at at RB cord-132120-u5s5heqm 14 23 least least RBS cord-132120-u5s5heqm 14 24 49,465 49,465 CD cord-132120-u5s5heqm 14 25 patients patient NNS cord-132120-u5s5heqm 14 26 with with IN cord-132120-u5s5heqm 14 27 the the DT cord-132120-u5s5heqm 14 28 virus virus NN cord-132120-u5s5heqm 14 29 have have VBP cord-132120-u5s5heqm 14 30 died die VBN cord-132120-u5s5heqm 14 31 . . . cord-132120-u5s5heqm 15 1 Aggressive aggressive JJ cord-132120-u5s5heqm 15 2 policies policy NNS cord-132120-u5s5heqm 15 3 have have VBP cord-132120-u5s5heqm 15 4 been be VBN cord-132120-u5s5heqm 15 5 put put VBN cord-132120-u5s5heqm 15 6 in in IN cord-132120-u5s5heqm 15 7 place place NN cord-132120-u5s5heqm 15 8 across across IN cord-132120-u5s5heqm 15 9 the the DT cord-132120-u5s5heqm 15 10 US US NNP cord-132120-u5s5heqm 15 11 with with IN cord-132120-u5s5heqm 15 12 at at RB cord-132120-u5s5heqm 15 13 least least JJS cord-132120-u5s5heqm 15 14 50 50 CD cord-132120-u5s5heqm 15 15 % % NN cord-132120-u5s5heqm 15 16 of of IN cord-132120-u5s5heqm 15 17 the the DT cord-132120-u5s5heqm 15 18 US US NNP cord-132120-u5s5heqm 15 19 population population NN cord-132120-u5s5heqm 15 20 officially officially RB cord-132120-u5s5heqm 15 21 urged urge VBD cord-132120-u5s5heqm 15 22 as as IN cord-132120-u5s5heqm 15 23 of of IN cord-132120-u5s5heqm 15 24 late late JJ cord-132120-u5s5heqm 15 25 April April NNP cord-132120-u5s5heqm 15 26 to to TO cord-132120-u5s5heqm 15 27 stay stay VB cord-132120-u5s5heqm 15 28 home home RB cord-132120-u5s5heqm 15 29 via via IN cord-132120-u5s5heqm 15 30 state state NN cord-132120-u5s5heqm 15 31 - - HYPH cord-132120-u5s5heqm 15 32 wide wide JJ cord-132120-u5s5heqm 15 33 executive executive JJ cord-132120-u5s5heqm 15 34 actions action NNS cord-132120-u5s5heqm 15 35 . . . cord-132120-u5s5heqm 16 1 Despite despite IN cord-132120-u5s5heqm 16 2 these these DT cord-132120-u5s5heqm 16 3 steps step NNS cord-132120-u5s5heqm 16 4 , , , cord-132120-u5s5heqm 16 5 the the DT cord-132120-u5s5heqm 16 6 data data NN cord-132120-u5s5heqm 16 7 landscape landscape NN cord-132120-u5s5heqm 16 8 for for IN cord-132120-u5s5heqm 16 9 understanding understand VBG cord-132120-u5s5heqm 16 10 COVID-19 COVID-19 NNP cord-132120-u5s5heqm 16 11 remains remain VBZ cord-132120-u5s5heqm 16 12 limited limited JJ cord-132120-u5s5heqm 16 13 . . . cord-132120-u5s5heqm 17 1 Public public JJ cord-132120-u5s5heqm 17 2 databases database NNS cord-132120-u5s5heqm 17 3 maintained maintain VBN cord-132120-u5s5heqm 17 4 by by IN cord-132120-u5s5heqm 17 5 Johns Johns NNP cord-132120-u5s5heqm 17 6 Hopkins Hopkins NNP cord-132120-u5s5heqm 17 7 University University NNP cord-132120-u5s5heqm 17 8 [ [ -LRB- cord-132120-u5s5heqm 17 9 Dong Dong NNP cord-132120-u5s5heqm 17 10 et et FW cord-132120-u5s5heqm 17 11 al al NNP cord-132120-u5s5heqm 17 12 . . NNP cord-132120-u5s5heqm 17 13 , , , cord-132120-u5s5heqm 17 14 2020 2020 CD cord-132120-u5s5heqm 17 15 ] ] -RRB- cord-132120-u5s5heqm 17 16 and and CC cord-132120-u5s5heqm 17 17 the the DT cord-132120-u5s5heqm 17 18 New New NNP cord-132120-u5s5heqm 17 19 York York NNP cord-132120-u5s5heqm 17 20 Times Times NNP cord-132120-u5s5heqm 17 21 Smith Smith NNP cord-132120-u5s5heqm 17 22 et et NNP cord-132120-u5s5heqm 17 23 al al NNP cord-132120-u5s5heqm 17 24 . . . cord-132120-u5s5heqm 18 1 [ [ -LRB- cord-132120-u5s5heqm 18 2 2020 2020 CD cord-132120-u5s5heqm 18 3 ] ] -RRB- cord-132120-u5s5heqm 18 4 provide provide VB cord-132120-u5s5heqm 18 5 incoming incoming JJ cord-132120-u5s5heqm 18 6 county county NN cord-132120-u5s5heqm 18 7 - - HYPH cord-132120-u5s5heqm 18 8 level level NN cord-132120-u5s5heqm 18 9 information information NN cord-132120-u5s5heqm 18 10 of of IN cord-132120-u5s5heqm 18 11 confirmed confirm VBN cord-132120-u5s5heqm 18 12 cases case NNS cord-132120-u5s5heqm 18 13 and and CC cord-132120-u5s5heqm 18 14 deaths death NNS cord-132120-u5s5heqm 18 15 . . . cord-132120-u5s5heqm 19 1 Statisticians statistician NNS cord-132120-u5s5heqm 19 2 , , , cord-132120-u5s5heqm 19 3 epidemiologists epidemiologist NNS cord-132120-u5s5heqm 19 4 , , , cord-132120-u5s5heqm 19 5 economists economist NNS cord-132120-u5s5heqm 19 6 , , , cord-132120-u5s5heqm 19 7 and and CC cord-132120-u5s5heqm 19 8 data datum NNS cord-132120-u5s5heqm 19 9 scientists scientist NNS cord-132120-u5s5heqm 19 10 have have VBP cord-132120-u5s5heqm 19 11 used use VBN cord-132120-u5s5heqm 19 12 this this DT cord-132120-u5s5heqm 19 13 granular granular JJ cord-132120-u5s5heqm 19 14 data datum NNS cord-132120-u5s5heqm 19 15 to to TO cord-132120-u5s5heqm 19 16 forecast forecast VB cord-132120-u5s5heqm 19 17 COVID-19 COVID-19 NNP cord-132120-u5s5heqm 19 18 case case NN cord-132120-u5s5heqm 19 19 - - HYPH cord-132120-u5s5heqm 19 20 counts count NNS cord-132120-u5s5heqm 19 21 , , , cord-132120-u5s5heqm 19 22 deaths death NNS cord-132120-u5s5heqm 19 23 , , , cord-132120-u5s5heqm 19 24 and and CC cord-132120-u5s5heqm 19 25 hospitalizations hospitalization NNS cord-132120-u5s5heqm 19 26 [ [ -LRB- cord-132120-u5s5heqm 19 27 Song song NN cord-132120-u5s5heqm 19 28 et et FW cord-132120-u5s5heqm 19 29 al al NNP cord-132120-u5s5heqm 19 30 . . . cord-132120-u5s5heqm 20 1 , , , cord-132120-u5s5heqm 20 2 2020 2020 CD cord-132120-u5s5heqm 20 3 , , , cord-132120-u5s5heqm 20 4 Ray Ray NNP cord-132120-u5s5heqm 20 5 et et NNP cord-132120-u5s5heqm 20 6 al al NNP cord-132120-u5s5heqm 20 7 . . NNP cord-132120-u5s5heqm 20 8 , , , cord-132120-u5s5heqm 20 9 2020 2020 CD cord-132120-u5s5heqm 20 10 , , , cord-132120-u5s5heqm 20 11 IHME IHME NNP cord-132120-u5s5heqm 20 12 and and CC cord-132120-u5s5heqm 20 13 Murray Murray NNP cord-132120-u5s5heqm 20 14 , , , cord-132120-u5s5heqm 20 15 2020 2020 CD cord-132120-u5s5heqm 20 16 . . . cord-132120-u5s5heqm 21 1 In in IN cord-132120-u5s5heqm 21 2 many many JJ cord-132120-u5s5heqm 21 3 cases case NNS cord-132120-u5s5heqm 21 4 , , , cord-132120-u5s5heqm 21 5 variations variation NNS cord-132120-u5s5heqm 21 6 on on IN cord-132120-u5s5heqm 21 7 the the DT cord-132120-u5s5heqm 21 8 SIR SIR NNP cord-132120-u5s5heqm 21 9 models model NNS cord-132120-u5s5heqm 21 10 have have VBP cord-132120-u5s5heqm 21 11 been be VBN cord-132120-u5s5heqm 21 12 used use VBN cord-132120-u5s5heqm 21 13 to to TO cord-132120-u5s5heqm 21 14 draw draw VB cord-132120-u5s5heqm 21 15 inferences inference NNS cord-132120-u5s5heqm 21 16 about about IN cord-132120-u5s5heqm 21 17 infection infection NN cord-132120-u5s5heqm 21 18 rates rate NNS cord-132120-u5s5heqm 21 19 and and CC cord-132120-u5s5heqm 21 20 intensity intensity NN cord-132120-u5s5heqm 21 21 . . . cord-132120-u5s5heqm 22 1 Parametric parametric JJ cord-132120-u5s5heqm 22 2 inference inference NN cord-132120-u5s5heqm 22 3 often often RB cord-132120-u5s5heqm 22 4 uses use VBZ cord-132120-u5s5heqm 22 5 observed observe VBN cord-132120-u5s5heqm 22 6 casecount casecount NN cord-132120-u5s5heqm 22 7 and/or and/or CC cord-132120-u5s5heqm 22 8 observed observe VBD cord-132120-u5s5heqm 22 9 COVID-19 covid-19 JJ cord-132120-u5s5heqm 22 10 related related JJ cord-132120-u5s5heqm 22 11 deaths death NNS cord-132120-u5s5heqm 22 12 to to TO cord-132120-u5s5heqm 22 13 infer infer VB cord-132120-u5s5heqm 22 14 latent latent JJ cord-132120-u5s5heqm 22 15 trajectories trajectory NNS cord-132120-u5s5heqm 22 16 of of IN cord-132120-u5s5heqm 22 17 the the DT cord-132120-u5s5heqm 22 18 pandemic pandemic NN cord-132120-u5s5heqm 22 19 . . . cord-132120-u5s5heqm 23 1 The the DT cord-132120-u5s5heqm 23 2 goal goal NN cord-132120-u5s5heqm 23 3 of of IN cord-132120-u5s5heqm 23 4 this this DT cord-132120-u5s5heqm 23 5 paper paper NN cord-132120-u5s5heqm 23 6 is be VBZ cord-132120-u5s5heqm 23 7 to to TO cord-132120-u5s5heqm 23 8 express express VB cord-132120-u5s5heqm 23 9 reservations reservation NNS cord-132120-u5s5heqm 23 10 at at IN cord-132120-u5s5heqm 23 11 the the DT cord-132120-u5s5heqm 23 12 use use NN cord-132120-u5s5heqm 23 13 of of IN cord-132120-u5s5heqm 23 14 case case NN cord-132120-u5s5heqm 23 15 - - HYPH cord-132120-u5s5heqm 23 16 counts count VBZ cord-132120-u5s5heqm 23 17 as as IN cord-132120-u5s5heqm 23 18 a a DT cord-132120-u5s5heqm 23 19 proxy proxy NN cord-132120-u5s5heqm 23 20 for for IN cord-132120-u5s5heqm 23 21 disease disease NN cord-132120-u5s5heqm 23 22 prevalence prevalence NN cord-132120-u5s5heqm 23 23 and and CC cord-132120-u5s5heqm 23 24 intensity intensity NN cord-132120-u5s5heqm 23 25 as as RB cord-132120-u5s5heqm 23 26 well well RB cord-132120-u5s5heqm 23 27 as as IN cord-132120-u5s5heqm 23 28 its -PRON- PRP$ cord-132120-u5s5heqm 23 29 use use NN cord-132120-u5s5heqm 23 30 as as IN cord-132120-u5s5heqm 23 31 direct direct JJ cord-132120-u5s5heqm 23 32 input input NN cord-132120-u5s5heqm 23 33 into into IN cord-132120-u5s5heqm 23 34 estimation estimation NN cord-132120-u5s5heqm 23 35 of of IN cord-132120-u5s5heqm 23 36 standard standard JJ cord-132120-u5s5heqm 23 37 epidemiological epidemiological JJ cord-132120-u5s5heqm 23 38 models model NNS cord-132120-u5s5heqm 23 39 for for IN cord-132120-u5s5heqm 23 40 inference inference NN cord-132120-u5s5heqm 23 41 and and CC cord-132120-u5s5heqm 23 42 forecasting forecasting NN cord-132120-u5s5heqm 23 43 . . . cord-132120-u5s5heqm 24 1 The the DT cord-132120-u5s5heqm 24 2 reason reason NN cord-132120-u5s5heqm 24 3 is be VBZ cord-132120-u5s5heqm 24 4 straightforward straightforward JJ cord-132120-u5s5heqm 24 5 : : : cord-132120-u5s5heqm 24 6 current current JJ cord-132120-u5s5heqm 24 7 models model NNS cord-132120-u5s5heqm 24 8 do do VBP cord-132120-u5s5heqm 24 9 not not RB cord-132120-u5s5heqm 24 10 account account VB cord-132120-u5s5heqm 24 11 simultaneously simultaneously RB cord-132120-u5s5heqm 24 12 for for IN cord-132120-u5s5heqm 24 13 selection selection NN cord-132120-u5s5heqm 24 14 bias bias NN cord-132120-u5s5heqm 24 15 and and CC cord-132120-u5s5heqm 24 16 measurement measurement NN cord-132120-u5s5heqm 24 17 error error NN cord-132120-u5s5heqm 24 18 . . . cord-132120-u5s5heqm 25 1 Selection selection NN cord-132120-u5s5heqm 25 2 bias bias NN cord-132120-u5s5heqm 25 3 enters enter VBZ cord-132120-u5s5heqm 25 4 due due JJ cord-132120-u5s5heqm 25 5 to to IN cord-132120-u5s5heqm 25 6 differences difference NNS cord-132120-u5s5heqm 25 7 in in IN cord-132120-u5s5heqm 25 8 testing test VBG cord-132120-u5s5heqm 25 9 strategies strategy NNS cord-132120-u5s5heqm 25 10 across across IN cord-132120-u5s5heqm 25 11 countries country NNS cord-132120-u5s5heqm 25 12 and and CC cord-132120-u5s5heqm 25 13 states state NNS cord-132120-u5s5heqm 25 14 . . . cord-132120-u5s5heqm 26 1 In in IN cord-132120-u5s5heqm 26 2 the the DT cord-132120-u5s5heqm 26 3 US US NNP cord-132120-u5s5heqm 26 4 , , , cord-132120-u5s5heqm 26 5 for for IN cord-132120-u5s5heqm 26 6 example example NN cord-132120-u5s5heqm 26 7 , , , cord-132120-u5s5heqm 26 8 limited limited JJ cord-132120-u5s5heqm 26 9 testing testing NN cord-132120-u5s5heqm 26 10 capacity capacity NN cord-132120-u5s5heqm 26 11 has have VBZ cord-132120-u5s5heqm 26 12 caused cause VBN cord-132120-u5s5heqm 26 13 local local JJ cord-132120-u5s5heqm 26 14 and and CC cord-132120-u5s5heqm 26 15 state state NN cord-132120-u5s5heqm 26 16 health health NN cord-132120-u5s5heqm 26 17 departments department NNS cord-132120-u5s5heqm 26 18 to to TO cord-132120-u5s5heqm 26 19 focus focus VB cord-132120-u5s5heqm 26 20 on on IN cord-132120-u5s5heqm 26 21 testing test VBG cord-132120-u5s5heqm 26 22 only only RB cord-132120-u5s5heqm 26 23 high high JJ cord-132120-u5s5heqm 26 24 - - HYPH cord-132120-u5s5heqm 26 25 risk risk NN cord-132120-u5s5heqm 26 26 populations population NNS cord-132120-u5s5heqm 26 27 . . . cord-132120-u5s5heqm 27 1 Moreover moreover RB cord-132120-u5s5heqm 27 2 , , , cord-132120-u5s5heqm 27 3 testing testing NN cord-132120-u5s5heqm 27 4 requires require VBZ cord-132120-u5s5heqm 27 5 the the DT cord-132120-u5s5heqm 27 6 individual individual NN cord-132120-u5s5heqm 27 7 to to IN cord-132120-u5s5heqm 27 8 self self NN cord-132120-u5s5heqm 27 9 - - HYPH cord-132120-u5s5heqm 27 10 select select NN cord-132120-u5s5heqm 27 11 into into IN cord-132120-u5s5heqm 27 12 asking ask VBG cord-132120-u5s5heqm 27 13 for for IN cord-132120-u5s5heqm 27 14 a a DT cord-132120-u5s5heqm 27 15 test test NN cord-132120-u5s5heqm 27 16 and and CC cord-132120-u5s5heqm 27 17 then then RB cord-132120-u5s5heqm 27 18 receiving receive VBG cord-132120-u5s5heqm 27 19 approval approval NN cord-132120-u5s5heqm 27 20 by by IN cord-132120-u5s5heqm 27 21 their -PRON- PRP$ cord-132120-u5s5heqm 27 22 doctor doctor NN cord-132120-u5s5heqm 27 23 . . . cord-132120-u5s5heqm 28 1 Demands demand NNS cord-132120-u5s5heqm 28 2 for for IN cord-132120-u5s5heqm 28 3 increased increase VBN cord-132120-u5s5heqm 28 4 testing testing NN cord-132120-u5s5heqm 28 5 capacity capacity NN cord-132120-u5s5heqm 28 6 , , , cord-132120-u5s5heqm 28 7 while while IN cord-132120-u5s5heqm 28 8 laudable laudable JJ cord-132120-u5s5heqm 28 9 , , , cord-132120-u5s5heqm 28 10 ignore ignore VB cord-132120-u5s5heqm 28 11 the the DT cord-132120-u5s5heqm 28 12 issues issue NNS cord-132120-u5s5heqm 28 13 of of IN cord-132120-u5s5heqm 28 14 self self NN cord-132120-u5s5heqm 28 15 - - HYPH cord-132120-u5s5heqm 28 16 selection selection NN cord-132120-u5s5heqm 28 17 and and CC cord-132120-u5s5heqm 28 18 measurement measurement NN cord-132120-u5s5heqm 28 19 error error NN cord-132120-u5s5heqm 28 20 . . . cord-132120-u5s5heqm 29 1 While while IN cord-132120-u5s5heqm 29 2 increasing increase VBG cord-132120-u5s5heqm 29 3 testing testing NN cord-132120-u5s5heqm 29 4 capacity capacity NN cord-132120-u5s5heqm 29 5 increases increase VBZ cord-132120-u5s5heqm 29 6 data datum NNS cord-132120-u5s5heqm 29 7 quantity quantity NN cord-132120-u5s5heqm 29 8 , , , cord-132120-u5s5heqm 29 9 there there EX cord-132120-u5s5heqm 29 10 is be VBZ cord-132120-u5s5heqm 29 11 no no DT cord-132120-u5s5heqm 29 12 guarantee guarantee NN cord-132120-u5s5heqm 29 13 for for IN cord-132120-u5s5heqm 29 14 increased increase VBN cord-132120-u5s5heqm 29 15 data data NN cord-132120-u5s5heqm 29 16 quality quality NN cord-132120-u5s5heqm 29 17 . . . cord-132120-u5s5heqm 30 1 We -PRON- PRP cord-132120-u5s5heqm 30 2 will will MD cord-132120-u5s5heqm 30 3 show show VB cord-132120-u5s5heqm 30 4 that that IN cord-132120-u5s5heqm 30 5 aggressive aggressive JJ cord-132120-u5s5heqm 30 6 pushes push NNS cord-132120-u5s5heqm 30 7 for for IN cord-132120-u5s5heqm 30 8 ramped ramp VBN cord-132120-u5s5heqm 30 9 up up RP cord-132120-u5s5heqm 30 10 testing testing NN cord-132120-u5s5heqm 30 11 capacity capacity NN cord-132120-u5s5heqm 30 12 that that WDT cord-132120-u5s5heqm 30 13 are be VBP cord-132120-u5s5heqm 30 14 tied tie VBN cord-132120-u5s5heqm 30 15 to to IN cord-132120-u5s5heqm 30 16 decreases decrease NNS cord-132120-u5s5heqm 30 17 in in IN cord-132120-u5s5heqm 30 18 data data NN cord-132120-u5s5heqm 30 19 quality quality NN cord-132120-u5s5heqm 30 20 may may MD cord-132120-u5s5heqm 30 21 have have VB cord-132120-u5s5heqm 30 22 a a DT cord-132120-u5s5heqm 30 23 mitigated mitigate VBN cord-132120-u5s5heqm 30 24 impact impact NN cord-132120-u5s5heqm 30 25 in in IN cord-132120-u5s5heqm 30 26 our -PRON- PRP$ cord-132120-u5s5heqm 30 27 ability ability NN cord-132120-u5s5heqm 30 28 to to TO cord-132120-u5s5heqm 30 29 estimate estimate VB cord-132120-u5s5heqm 30 30 quantities quantity NNS cord-132120-u5s5heqm 30 31 of of IN cord-132120-u5s5heqm 30 32 interest interest NN cord-132120-u5s5heqm 30 33 such such JJ cord-132120-u5s5heqm 30 34 as as IN cord-132120-u5s5heqm 30 35 prevalence prevalence NN cord-132120-u5s5heqm 30 36 and and CC cord-132120-u5s5heqm 30 37 effective effective JJ cord-132120-u5s5heqm 30 38 reproduction reproduction NN cord-132120-u5s5heqm 30 39 number number NN cord-132120-u5s5heqm 30 40 . . . cord-132120-u5s5heqm 31 1 In in IN cord-132120-u5s5heqm 31 2 this this DT cord-132120-u5s5heqm 31 3 paper paper NN cord-132120-u5s5heqm 31 4 , , , cord-132120-u5s5heqm 31 5 we -PRON- PRP cord-132120-u5s5heqm 31 6 will will MD cord-132120-u5s5heqm 31 7 demonstrate demonstrate VB cord-132120-u5s5heqm 31 8 the the DT cord-132120-u5s5heqm 31 9 complex complex JJ cord-132120-u5s5heqm 31 10 interaction interaction NN cord-132120-u5s5heqm 31 11 between between IN cord-132120-u5s5heqm 31 12 these these DT cord-132120-u5s5heqm 31 13 two two CD cord-132120-u5s5heqm 31 14 fundamental fundamental JJ cord-132120-u5s5heqm 31 15 concepts concept NNS cord-132120-u5s5heqm 31 16 . . . cord-132120-u5s5heqm 32 1 In in IN cord-132120-u5s5heqm 32 2 classical classical JJ cord-132120-u5s5heqm 32 3 statistics statistic NNS cord-132120-u5s5heqm 32 4 , , , cord-132120-u5s5heqm 32 5 measurement measurement NN cord-132120-u5s5heqm 32 6 error error NN cord-132120-u5s5heqm 32 7 is be VBZ cord-132120-u5s5heqm 32 8 often often RB cord-132120-u5s5heqm 32 9 associated associate VBN cord-132120-u5s5heqm 32 10 with with IN cord-132120-u5s5heqm 32 11 parameter parameter NN cord-132120-u5s5heqm 32 12 attenuation attenuation NN cord-132120-u5s5heqm 32 13 ; ; : cord-132120-u5s5heqm 32 14 we -PRON- PRP cord-132120-u5s5heqm 32 15 will will MD cord-132120-u5s5heqm 32 16 show show VB cord-132120-u5s5heqm 32 17 , , , cord-132120-u5s5heqm 32 18 however however RB cord-132120-u5s5heqm 32 19 , , , cord-132120-u5s5heqm 32 20 that that IN cord-132120-u5s5heqm 32 21 the the DT cord-132120-u5s5heqm 32 22 combination combination NN cord-132120-u5s5heqm 32 23 with with IN cord-132120-u5s5heqm 32 24 selfselection selfselection NN cord-132120-u5s5heqm 32 25 can can MD cord-132120-u5s5heqm 32 26 cause cause VB cord-132120-u5s5heqm 32 27 bias bias NN cord-132120-u5s5heqm 32 28 in in IN cord-132120-u5s5heqm 32 29 parameter parameter NN cord-132120-u5s5heqm 32 30 estimates estimate NNS cord-132120-u5s5heqm 32 31 to to TO cord-132120-u5s5heqm 32 32 change change VB cord-132120-u5s5heqm 32 33 sign sign NN cord-132120-u5s5heqm 32 34 and and CC cord-132120-u5s5heqm 32 35 increase increase VB cord-132120-u5s5heqm 32 36 / / SYM cord-132120-u5s5heqm 32 37 decrease decrease NN cord-132120-u5s5heqm 32 38 in in IN cord-132120-u5s5heqm 32 39 magnitude magnitude NN cord-132120-u5s5heqm 32 40 . . . cord-132120-u5s5heqm 33 1 Moreover moreover RB cord-132120-u5s5heqm 33 2 , , , cord-132120-u5s5heqm 33 3 the the DT cord-132120-u5s5heqm 33 4 bias bias NN cord-132120-u5s5heqm 33 5 may may MD cord-132120-u5s5heqm 33 6 depend depend VB cord-132120-u5s5heqm 33 7 on on IN cord-132120-u5s5heqm 33 8 the the DT cord-132120-u5s5heqm 33 9 sampling sampling NN cord-132120-u5s5heqm 33 10 fraction fraction NN cord-132120-u5s5heqm 33 11 , , , cord-132120-u5s5heqm 33 12 prevalence prevalence NN cord-132120-u5s5heqm 33 13 , , , cord-132120-u5s5heqm 33 14 and and CC cord-132120-u5s5heqm 33 15 population population NN cord-132120-u5s5heqm 33 16 size size NN cord-132120-u5s5heqm 33 17 . . . cord-132120-u5s5heqm 34 1 Without without IN cord-132120-u5s5heqm 34 2 a a DT cord-132120-u5s5heqm 34 3 complete complete JJ cord-132120-u5s5heqm 34 4 understanding understanding NN cord-132120-u5s5heqm 34 5 of of IN cord-132120-u5s5heqm 34 6 these these DT cord-132120-u5s5heqm 34 7 interactions interaction NNS cord-132120-u5s5heqm 34 8 , , , cord-132120-u5s5heqm 34 9 we -PRON- PRP cord-132120-u5s5heqm 34 10 are be VBP cord-132120-u5s5heqm 34 11 destined destine VBN cord-132120-u5s5heqm 34 12 to to TO cord-132120-u5s5heqm 34 13 misinterpret misinterpret VB cord-132120-u5s5heqm 34 14 case case NN cord-132120-u5s5heqm 34 15 - - HYPH cord-132120-u5s5heqm 34 16 counts count NNS cord-132120-u5s5heqm 34 17 and and CC cord-132120-u5s5heqm 34 18 come come VB cord-132120-u5s5heqm 34 19 to to IN cord-132120-u5s5heqm 34 20 erroneous erroneous JJ cord-132120-u5s5heqm 34 21 conclusions conclusion NNS cord-132120-u5s5heqm 34 22 . . . cord-132120-u5s5heqm 35 1 We -PRON- PRP cord-132120-u5s5heqm 35 2 will will MD cord-132120-u5s5heqm 35 3 demonstrate demonstrate VB cord-132120-u5s5heqm 35 4 why why WRB cord-132120-u5s5heqm 35 5 there there EX cord-132120-u5s5heqm 35 6 is be VBZ cord-132120-u5s5heqm 35 7 a a DT cord-132120-u5s5heqm 35 8 strong strong JJ cord-132120-u5s5heqm 35 9 need need NN cord-132120-u5s5heqm 35 10 for for IN cord-132120-u5s5heqm 35 11 more more JJR cord-132120-u5s5heqm 35 12 precision precision NN cord-132120-u5s5heqm 35 13 and and CC cord-132120-u5s5heqm 35 14 care care NN cord-132120-u5s5heqm 35 15 in in IN cord-132120-u5s5heqm 35 16 presenting present VBG cord-132120-u5s5heqm 35 17 COVID-19 covid-19 JJ cord-132120-u5s5heqm 35 18 analyses analysis NNS cord-132120-u5s5heqm 35 19 to to IN cord-132120-u5s5heqm 35 20 the the DT cord-132120-u5s5heqm 35 21 broader broad JJR cord-132120-u5s5heqm 35 22 research research NN cord-132120-u5s5heqm 35 23 and and CC cord-132120-u5s5heqm 35 24 non non JJ cord-132120-u5s5heqm 35 25 - - JJ cord-132120-u5s5heqm 35 26 academic academic JJ cord-132120-u5s5heqm 35 27 communities community NNS cord-132120-u5s5heqm 35 28 . . . cord-132120-u5s5heqm 36 1 1.1 1.1 CD cord-132120-u5s5heqm 36 2 . . . cord-132120-u5s5heqm 37 1 Outline Outline NNP cord-132120-u5s5heqm 37 2 . . . cord-132120-u5s5heqm 38 1 This this DT cord-132120-u5s5heqm 38 2 article article NN cord-132120-u5s5heqm 38 3 discusses discuss VBZ cord-132120-u5s5heqm 38 4 the the DT cord-132120-u5s5heqm 38 5 relationship relationship NN cord-132120-u5s5heqm 38 6 between between IN cord-132120-u5s5heqm 38 7 three three CD cord-132120-u5s5heqm 38 8 statistical statistical JJ cord-132120-u5s5heqm 38 9 concepts concept NNS cord-132120-u5s5heqm 38 10 : : : cord-132120-u5s5heqm 38 11 selection selection NN cord-132120-u5s5heqm 38 12 bias bias NN cord-132120-u5s5heqm 38 13 , , , cord-132120-u5s5heqm 38 14 measurement measurement NN cord-132120-u5s5heqm 38 15 error error NN cord-132120-u5s5heqm 38 16 , , , cord-132120-u5s5heqm 38 17 and and CC cord-132120-u5s5heqm 38 18 the the DT cord-132120-u5s5heqm 38 19 too too RB cord-132120-u5s5heqm 38 20 often often RB cord-132120-u5s5heqm 38 21 forgotten forget VBN cord-132120-u5s5heqm 38 22 population population NN cord-132120-u5s5heqm 38 23 size size NN cord-132120-u5s5heqm 38 24 . . . cord-132120-u5s5heqm 39 1 We -PRON- PRP cord-132120-u5s5heqm 39 2 clarify clarify VBP cord-132120-u5s5heqm 39 3 mathematically mathematically RB cord-132120-u5s5heqm 39 4 why why WRB cord-132120-u5s5heqm 39 5 the the DT cord-132120-u5s5heqm 39 6 situation situation NN cord-132120-u5s5heqm 39 7 is be VBZ cord-132120-u5s5heqm 39 8 much much RB cord-132120-u5s5heqm 39 9 more more RBR cord-132120-u5s5heqm 39 10 complex complex JJ cord-132120-u5s5heqm 39 11 than than IN cord-132120-u5s5heqm 39 12 it -PRON- PRP cord-132120-u5s5heqm 39 13 first first RB cord-132120-u5s5heqm 39 14 appears appear VBZ cord-132120-u5s5heqm 39 15 . . . cord-132120-u5s5heqm 40 1 Through through IN cord-132120-u5s5heqm 40 2 simple simple JJ cord-132120-u5s5heqm 40 3 mathematical mathematical JJ cord-132120-u5s5heqm 40 4 arguments argument NNS cord-132120-u5s5heqm 40 5 , , , cord-132120-u5s5heqm 40 6 we -PRON- PRP cord-132120-u5s5heqm 40 7 clarify clarify VBP cord-132120-u5s5heqm 40 8 five five CD cord-132120-u5s5heqm 40 9 important important JJ cord-132120-u5s5heqm 40 10 issues issue NNS cord-132120-u5s5heqm 40 11 related relate VBN cord-132120-u5s5heqm 40 12 to to IN cord-132120-u5s5heqm 40 13 COVID-19 covid-19 JJ cord-132120-u5s5heqm 40 14 case case NN cord-132120-u5s5heqm 40 15 - - HYPH cord-132120-u5s5heqm 40 16 count count NN cord-132120-u5s5heqm 40 17 analysis analysis NN cord-132120-u5s5heqm 40 18 . . . cord-132120-u5s5heqm 41 1 First first RB cord-132120-u5s5heqm 41 2 , , , cord-132120-u5s5heqm 41 3 we -PRON- PRP cord-132120-u5s5heqm 41 4 show show VBP cord-132120-u5s5heqm 41 5 that that IN cord-132120-u5s5heqm 41 6 unadjusted unadjusted JJ cord-132120-u5s5heqm 41 7 prevalence prevalence NN cord-132120-u5s5heqm 41 8 rates rate NNS cord-132120-u5s5heqm 41 9 are be VBP cord-132120-u5s5heqm 41 10 ( ( -LRB- cord-132120-u5s5heqm 41 11 unsurprisingly unsurprisingly RB cord-132120-u5s5heqm 41 12 ) ) -RRB- cord-132120-u5s5heqm 41 13 biased bias VBN cord-132120-u5s5heqm 41 14 when when WRB cord-132120-u5s5heqm 41 15 tests test NNS cord-132120-u5s5heqm 41 16 are be VBP cord-132120-u5s5heqm 41 17 imperfect imperfect JJ cord-132120-u5s5heqm 41 18 . . . cord-132120-u5s5heqm 42 1 What what WP cord-132120-u5s5heqm 42 2 is be VBZ cord-132120-u5s5heqm 42 3 surprising surprising JJ cord-132120-u5s5heqm 42 4 is be VBZ cord-132120-u5s5heqm 42 5 that that IN cord-132120-u5s5heqm 42 6 the the DT cord-132120-u5s5heqm 42 7 direction direction NN cord-132120-u5s5heqm 42 8 and and CC cord-132120-u5s5heqm 42 9 magnitude magnitude NN cord-132120-u5s5heqm 42 10 of of IN cord-132120-u5s5heqm 42 11 the the DT cord-132120-u5s5heqm 42 12 bias bias NN cord-132120-u5s5heqm 42 13 can can MD cord-132120-u5s5heqm 42 14 vary vary VB cord-132120-u5s5heqm 42 15 substantially substantially RB cord-132120-u5s5heqm 42 16 and and CC cord-132120-u5s5heqm 42 17 interacts interact VBZ cord-132120-u5s5heqm 42 18 with with IN cord-132120-u5s5heqm 42 19 the the DT cord-132120-u5s5heqm 42 20 sampling sampling NN cord-132120-u5s5heqm 42 21 fraction fraction NN cord-132120-u5s5heqm 42 22 . . . cord-132120-u5s5heqm 43 1 Next next RB cord-132120-u5s5heqm 43 2 we -PRON- PRP cord-132120-u5s5heqm 43 3 show show VBP cord-132120-u5s5heqm 43 4 that that IN cord-132120-u5s5heqm 43 5 data data VBZ cord-132120-u5s5heqm 43 6 quality quality NN cord-132120-u5s5heqm 43 7 for for IN cord-132120-u5s5heqm 43 8 adjusted adjusted JJ cord-132120-u5s5heqm 43 9 prevalence prevalence NN cord-132120-u5s5heqm 43 10 rates rate NNS cord-132120-u5s5heqm 43 11 includes include VBZ cord-132120-u5s5heqm 43 12 an an DT cord-132120-u5s5heqm 43 13 additional additional JJ cord-132120-u5s5heqm 43 14 term term NN cord-132120-u5s5heqm 43 15 in in IN cord-132120-u5s5heqm 43 16 the the DT cord-132120-u5s5heqm 43 17 error error NN cord-132120-u5s5heqm 43 18 decomposition decomposition NN cord-132120-u5s5heqm 43 19 that that WDT cord-132120-u5s5heqm 43 20 captures capture VBZ cord-132120-u5s5heqm 43 21 the the DT cord-132120-u5s5heqm 43 22 interplay interplay NN cord-132120-u5s5heqm 43 23 among among IN cord-132120-u5s5heqm 43 24 measurement measurement NN cord-132120-u5s5heqm 43 25 error error NN cord-132120-u5s5heqm 43 26 , , , cord-132120-u5s5heqm 43 27 selection selection NN cord-132120-u5s5heqm 43 28 bias bias NN cord-132120-u5s5heqm 43 29 , , , cord-132120-u5s5heqm 43 30 and and CC cord-132120-u5s5heqm 43 31 prevalence prevalence NN cord-132120-u5s5heqm 43 32 . . . cord-132120-u5s5heqm 44 1 Third third RB cord-132120-u5s5heqm 44 2 , , , cord-132120-u5s5heqm 44 3 we -PRON- PRP cord-132120-u5s5heqm 44 4 show show VBP cord-132120-u5s5heqm 44 5 that that IN cord-132120-u5s5heqm 44 6 daily daily JJ cord-132120-u5s5heqm 44 7 trends trend NNS cord-132120-u5s5heqm 44 8 in in IN cord-132120-u5s5heqm 44 9 rate rate NN cord-132120-u5s5heqm 44 10 of of IN cord-132120-u5s5heqm 44 11 positive positive JJ cord-132120-u5s5heqm 44 12 tests test NNS cord-132120-u5s5heqm 44 13 is be VBZ cord-132120-u5s5heqm 44 14 equally equally RB cord-132120-u5s5heqm 44 15 problematic problematic JJ cord-132120-u5s5heqm 44 16 even even RB cord-132120-u5s5heqm 44 17 if if IN cord-132120-u5s5heqm 44 18 testing test VBG cord-132120-u5s5heqm 44 19 rates rate NNS cord-132120-u5s5heqm 44 20 and and CC cord-132120-u5s5heqm 44 21 selection selection NN cord-132120-u5s5heqm 44 22 protocols protocol NNS cord-132120-u5s5heqm 44 23 are be VBP cord-132120-u5s5heqm 44 24 held hold VBN cord-132120-u5s5heqm 44 25 constant constant JJ cord-132120-u5s5heqm 44 26 . . . cord-132120-u5s5heqm 45 1 We -PRON- PRP cord-132120-u5s5heqm 45 2 show show VBP cord-132120-u5s5heqm 45 3 that that IN cord-132120-u5s5heqm 45 4 the the DT cord-132120-u5s5heqm 45 5 rate rate NN cord-132120-u5s5heqm 45 6 of of IN cord-132120-u5s5heqm 45 7 change change NN cord-132120-u5s5heqm 45 8 in in IN cord-132120-u5s5heqm 45 9 COVID-19 COVID-19 NNP cord-132120-u5s5heqm 45 10 observed observed JJ cord-132120-u5s5heqm 45 11 case case NN cord-132120-u5s5heqm 45 12 - - HYPH cord-132120-u5s5heqm 45 13 counts count NNS cord-132120-u5s5heqm 45 14 overestimates overestimate VBZ cord-132120-u5s5heqm 45 15 the the DT cord-132120-u5s5heqm 45 16 true true JJ cord-132120-u5s5heqm 45 17 rate rate NN cord-132120-u5s5heqm 45 18 of of IN cord-132120-u5s5heqm 45 19 change change NN cord-132120-u5s5heqm 45 20 prior prior RB cord-132120-u5s5heqm 45 21 to to IN cord-132120-u5s5heqm 45 22 the the DT cord-132120-u5s5heqm 45 23 peak peak NN cord-132120-u5s5heqm 45 24 time time NN cord-132120-u5s5heqm 45 25 and and CC cord-132120-u5s5heqm 45 26 underestimates underestimate VBZ cord-132120-u5s5heqm 45 27 it -PRON- PRP cord-132120-u5s5heqm 45 28 immediately immediately RB cord-132120-u5s5heqm 45 29 after after RB cord-132120-u5s5heqm 45 30 . . . cord-132120-u5s5heqm 46 1 This this DT cord-132120-u5s5heqm 46 2 implies imply VBZ cord-132120-u5s5heqm 46 3 a a DT cord-132120-u5s5heqm 46 4 data data NN cord-132120-u5s5heqm 46 5 scientist scientist NN cord-132120-u5s5heqm 46 6 analyzing analyze VBG cord-132120-u5s5heqm 46 7 observed observed JJ cord-132120-u5s5heqm 46 8 rates rate NNS cord-132120-u5s5heqm 46 9 will will MD cord-132120-u5s5heqm 46 10 be be VB cord-132120-u5s5heqm 46 11 ( ( -LRB- cord-132120-u5s5heqm 46 12 on on IN cord-132120-u5s5heqm 46 13 average average JJ cord-132120-u5s5heqm 46 14 ) ) -RRB- cord-132120-u5s5heqm 46 15 overly overly RB cord-132120-u5s5heqm 46 16 pessimistic pessimistic JJ cord-132120-u5s5heqm 46 17 in in IN cord-132120-u5s5heqm 46 18 the the DT cord-132120-u5s5heqm 46 19 early early JJ cord-132120-u5s5heqm 46 20 stages stage NNS cord-132120-u5s5heqm 46 21 of of IN cord-132120-u5s5heqm 46 22 the the DT cord-132120-u5s5heqm 46 23 pandemic pandemic NN cord-132120-u5s5heqm 46 24 , , , cord-132120-u5s5heqm 46 25 and and CC cord-132120-u5s5heqm 46 26 overly overly RB cord-132120-u5s5heqm 46 27 optimistic optimistic JJ cord-132120-u5s5heqm 46 28 subsequent subsequent NN cord-132120-u5s5heqm 46 29 to to IN cord-132120-u5s5heqm 46 30 the the DT cord-132120-u5s5heqm 46 31 peak peak NN cord-132120-u5s5heqm 46 32 times time NNS cord-132120-u5s5heqm 46 33 . . . cord-132120-u5s5heqm 47 1 We -PRON- PRP cord-132120-u5s5heqm 47 2 show show VBP cord-132120-u5s5heqm 47 3 that that IN cord-132120-u5s5heqm 47 4 estimates estimate NNS cord-132120-u5s5heqm 47 5 of of IN cord-132120-u5s5heqm 47 6 the the DT cord-132120-u5s5heqm 47 7 effective effective JJ cord-132120-u5s5heqm 47 8 reproduction reproduction NN cord-132120-u5s5heqm 47 9 number number NN cord-132120-u5s5heqm 47 10 may may MD cord-132120-u5s5heqm 47 11 be be VB cord-132120-u5s5heqm 47 12 similarly similarly RB cord-132120-u5s5heqm 47 13 impacted impact VBN cord-132120-u5s5heqm 47 14 . . . cord-132120-u5s5heqm 48 1 Fourth fourth RB cord-132120-u5s5heqm 48 2 , , , cord-132120-u5s5heqm 48 3 we -PRON- PRP cord-132120-u5s5heqm 48 4 show show VBP cord-132120-u5s5heqm 48 5 that that IN cord-132120-u5s5heqm 48 6 cross cross NN cord-132120-u5s5heqm 48 7 - - JJ cord-132120-u5s5heqm 48 8 country country JJ cord-132120-u5s5heqm 48 9 comparisons comparison NNS cord-132120-u5s5heqm 48 10 are be VBP cord-132120-u5s5heqm 48 11 difficult difficult JJ cord-132120-u5s5heqm 48 12 at at IN cord-132120-u5s5heqm 48 13 best good JJS cord-132120-u5s5heqm 48 14 with with IN cord-132120-u5s5heqm 48 15 population population NN cord-132120-u5s5heqm 48 16 size size NN cord-132120-u5s5heqm 48 17 , , , cord-132120-u5s5heqm 48 18 sampling sampling NN cord-132120-u5s5heqm 48 19 fraction fraction NN cord-132120-u5s5heqm 48 20 , , , cord-132120-u5s5heqm 48 21 and and CC cord-132120-u5s5heqm 48 22 data data NN cord-132120-u5s5heqm 48 23 quality quality NN cord-132120-u5s5heqm 48 24 all all DT cord-132120-u5s5heqm 48 25 interacting interact VBG cord-132120-u5s5heqm 48 26 to to TO cord-132120-u5s5heqm 48 27 impact impact VB cord-132120-u5s5heqm 48 28 null null JJ cord-132120-u5s5heqm 48 29 hypothesis hypothesis NN cord-132120-u5s5heqm 48 30 testing testing NN cord-132120-u5s5heqm 48 31 . . . cord-132120-u5s5heqm 49 1 Fifth fifth JJ cord-132120-u5s5heqm 49 2 , , , cord-132120-u5s5heqm 49 3 we -PRON- PRP cord-132120-u5s5heqm 49 4 discuss discuss VBP cord-132120-u5s5heqm 49 5 a a DT cord-132120-u5s5heqm 49 6 sensitivity sensitivity NN cord-132120-u5s5heqm 49 7 analysis analysis NN cord-132120-u5s5heqm 49 8 method method NN cord-132120-u5s5heqm 49 9 for for IN cord-132120-u5s5heqm 49 10 estimating estimate VBG cord-132120-u5s5heqm 49 11 data datum NNS cord-132120-u5s5heqm 49 12 quality quality NN cord-132120-u5s5heqm 49 13 and and CC cord-132120-u5s5heqm 49 14 its -PRON- PRP$ cord-132120-u5s5heqm 49 15 use use NN cord-132120-u5s5heqm 49 16 in in IN cord-132120-u5s5heqm 49 17 understanding understand VBG cord-132120-u5s5heqm 49 18 the the DT cord-132120-u5s5heqm 49 19 potential potential JJ cord-132120-u5s5heqm 49 20 biases bias NNS cord-132120-u5s5heqm 49 21 in in IN cord-132120-u5s5heqm 49 22 COVID-19 covid-19 DT cord-132120-u5s5heqm 49 23 case case NN cord-132120-u5s5heqm 49 24 - - HYPH cord-132120-u5s5heqm 49 25 count count NN cord-132120-u5s5heqm 49 26 analyses analysis NNS cord-132120-u5s5heqm 49 27 . . . cord-132120-u5s5heqm 50 1 We -PRON- PRP cord-132120-u5s5heqm 50 2 then then RB cord-132120-u5s5heqm 50 3 end end VBP cord-132120-u5s5heqm 50 4 the the DT cord-132120-u5s5heqm 50 5 paper paper NN cord-132120-u5s5heqm 50 6 with with IN cord-132120-u5s5heqm 50 7 a a DT cord-132120-u5s5heqm 50 8 discussion discussion NN cord-132120-u5s5heqm 50 9 of of IN cord-132120-u5s5heqm 50 10 the the DT cord-132120-u5s5heqm 50 11 benefits benefit NNS cord-132120-u5s5heqm 50 12 of of IN cord-132120-u5s5heqm 50 13 randomized randomized JJ cord-132120-u5s5heqm 50 14 testing testing NN cord-132120-u5s5heqm 50 15 and and CC cord-132120-u5s5heqm 50 16 use use NN cord-132120-u5s5heqm 50 17 of of IN cord-132120-u5s5heqm 50 18 auxiliary auxiliary JJ cord-132120-u5s5heqm 50 19 information information NN cord-132120-u5s5heqm 50 20 to to TO cord-132120-u5s5heqm 50 21 improve improve VB cord-132120-u5s5heqm 50 22 over over IN cord-132120-u5s5heqm 50 23 simple simple JJ cord-132120-u5s5heqm 50 24 random random JJ cord-132120-u5s5heqm 50 25 sampling sampling NN cord-132120-u5s5heqm 50 26 . . . cord-132120-u5s5heqm 51 1 We -PRON- PRP cord-132120-u5s5heqm 51 2 start start VBP cord-132120-u5s5heqm 51 3 with with IN cord-132120-u5s5heqm 51 4 some some DT cord-132120-u5s5heqm 51 5 simple simple JJ cord-132120-u5s5heqm 51 6 notation notation NN cord-132120-u5s5heqm 51 7 . . . cord-132120-u5s5heqm 52 1 Let let VB cord-132120-u5s5heqm 52 2 N N NNP cord-132120-u5s5heqm 52 3 denote denote VB cord-132120-u5s5heqm 52 4 the the DT cord-132120-u5s5heqm 52 5 population population NN cord-132120-u5s5heqm 52 6 size size NN cord-132120-u5s5heqm 52 7 . . . cord-132120-u5s5heqm 53 1 For for IN cord-132120-u5s5heqm 53 2 state state NN cord-132120-u5s5heqm 53 3 - - HYPH cord-132120-u5s5heqm 53 4 level level NN cord-132120-u5s5heqm 53 5 analysis analysis NN cord-132120-u5s5heqm 54 1 N N NNP cord-132120-u5s5heqm 54 2 is be VBZ cord-132120-u5s5heqm 54 3 the the DT cord-132120-u5s5heqm 54 4 state state NN cord-132120-u5s5heqm 54 5 's 's POS cord-132120-u5s5heqm 54 6 total total JJ cord-132120-u5s5heqm 54 7 population population NN cord-132120-u5s5heqm 54 8 , , , cord-132120-u5s5heqm 54 9 while while IN cord-132120-u5s5heqm 54 10 for for IN cord-132120-u5s5heqm 54 11 country country NN cord-132120-u5s5heqm 54 12 - - HYPH cord-132120-u5s5heqm 54 13 level level NN cord-132120-u5s5heqm 54 14 analysis analysis NN cord-132120-u5s5heqm 54 15 N N NNP cord-132120-u5s5heqm 54 16 is be VBZ cord-132120-u5s5heqm 54 17 the the DT cord-132120-u5s5heqm 54 18 country country NN cord-132120-u5s5heqm 54 19 's 's POS cord-132120-u5s5heqm 54 20 total total JJ cord-132120-u5s5heqm 54 21 population population NN cord-132120-u5s5heqm 54 22 . . . cord-132120-u5s5heqm 55 1 At at IN cord-132120-u5s5heqm 55 2 a a DT cord-132120-u5s5heqm 55 3 fixed fix VBN cord-132120-u5s5heqm 55 4 moment moment NN cord-132120-u5s5heqm 55 5 in in IN cord-132120-u5s5heqm 55 6 time time NN cord-132120-u5s5heqm 55 7 , , , cord-132120-u5s5heqm 55 8 let let VB cord-132120-u5s5heqm 55 9 Y Y NNP cord-132120-u5s5heqm 55 10 j j NNP cord-132120-u5s5heqm 55 11 denote denote VB cord-132120-u5s5heqm 56 1 COVID-19 covid-19 JJ cord-132120-u5s5heqm 56 2 status status NN cord-132120-u5s5heqm 56 3 for for IN cord-132120-u5s5heqm 56 4 the the DT cord-132120-u5s5heqm 56 5 jth jth NNP cord-132120-u5s5heqm 56 6 individual individual NN cord-132120-u5s5heqm 56 7 in in IN cord-132120-u5s5heqm 56 8 the the DT cord-132120-u5s5heqm 56 9 population population NN cord-132120-u5s5heqm 56 10 , , , cord-132120-u5s5heqm 56 11 j j NNP cord-132120-u5s5heqm 56 12 = = SYM cord-132120-u5s5heqm 56 13 1 1 CD cord-132120-u5s5heqm 56 14 , , , cord-132120-u5s5heqm 56 15 . . . cord-132120-u5s5heqm 56 16 . . . cord-132120-u5s5heqm 56 17 . . . cord-132120-u5s5heqm 57 1 , , , cord-132120-u5s5heqm 57 2 N N NNP cord-132120-u5s5heqm 57 3 . . . cord-132120-u5s5heqm 58 1 Here here RB cord-132120-u5s5heqm 58 2 , , , cord-132120-u5s5heqm 58 3 like like UH cord-132120-u5s5heqm 58 4 in in IN cord-132120-u5s5heqm 58 5 survey survey NN cord-132120-u5s5heqm 58 6 methodology methodology NN cord-132120-u5s5heqm 58 7 [ [ -LRB- cord-132120-u5s5heqm 58 8 Cochran Cochran NNP cord-132120-u5s5heqm 58 9 , , , cord-132120-u5s5heqm 58 10 1977 1977 CD cord-132120-u5s5heqm 58 11 ] ] -RRB- cord-132120-u5s5heqm 58 12 , , , cord-132120-u5s5heqm 58 13 we -PRON- PRP cord-132120-u5s5heqm 58 14 treat treat VBP cord-132120-u5s5heqm 58 15 COVID-19 covid-19 DT cord-132120-u5s5heqm 58 16 status status NN cord-132120-u5s5heqm 58 17 as as IN cord-132120-u5s5heqm 58 18 a a DT cord-132120-u5s5heqm 58 19 fixed fix VBN cord-132120-u5s5heqm 58 20 but but CC cord-132120-u5s5heqm 58 21 unknown unknown JJ cord-132120-u5s5heqm 58 22 quantity quantity NN cord-132120-u5s5heqm 58 23 of of IN cord-132120-u5s5heqm 58 24 interest interest NN cord-132120-u5s5heqm 58 25 . . . cord-132120-u5s5heqm 59 1 For for IN cord-132120-u5s5heqm 59 2 simplicity simplicity NN cord-132120-u5s5heqm 59 3 , , , cord-132120-u5s5heqm 59 4 we -PRON- PRP cord-132120-u5s5heqm 59 5 start start VBP cord-132120-u5s5heqm 59 6 by by IN cord-132120-u5s5heqm 59 7 ignoring ignore VBG cord-132120-u5s5heqm 59 8 the the DT cord-132120-u5s5heqm 59 9 dynamic dynamic JJ cord-132120-u5s5heqm 59 10 nature nature NN cord-132120-u5s5heqm 59 11 of of IN cord-132120-u5s5heqm 59 12 the the DT cord-132120-u5s5heqm 59 13 viral viral JJ cord-132120-u5s5heqm 59 14 outbreak outbreak NN cord-132120-u5s5heqm 59 15 as as RB cord-132120-u5s5heqm 59 16 well well RB cord-132120-u5s5heqm 59 17 as as IN cord-132120-u5s5heqm 59 18 the the DT cord-132120-u5s5heqm 59 19 fact fact NN cord-132120-u5s5heqm 59 20 that that IN cord-132120-u5s5heqm 59 21 individuals individual NNS cord-132120-u5s5heqm 59 22 can can MD cord-132120-u5s5heqm 59 23 recover recover VB cord-132120-u5s5heqm 59 24 from from IN cord-132120-u5s5heqm 59 25 the the DT cord-132120-u5s5heqm 59 26 disease disease NN cord-132120-u5s5heqm 59 27 and and CC cord-132120-u5s5heqm 59 28 assume assume VB cord-132120-u5s5heqm 59 29 either either DT cord-132120-u5s5heqm 59 30 individual individual JJ cord-132120-u5s5heqm 59 31 j j NNP cord-132120-u5s5heqm 59 32 is be VBZ cord-132120-u5s5heqm 59 33 COVID-19 COVID-19 NNP cord-132120-u5s5heqm 59 34 positive positive JJ cord-132120-u5s5heqm 59 35 and and CC cord-132120-u5s5heqm 59 36 Y Y NNP cord-132120-u5s5heqm 59 37 j j NNP cord-132120-u5s5heqm 59 38 = = SYM cord-132120-u5s5heqm 59 39 1 1 CD cord-132120-u5s5heqm 59 40 or or CC cord-132120-u5s5heqm 59 41 is be VBZ cord-132120-u5s5heqm 59 42 COVID-19 COVID-19 NNP cord-132120-u5s5heqm 59 43 negative negative JJ cord-132120-u5s5heqm 59 44 and and CC cord-132120-u5s5heqm 59 45 Y Y NNP cord-132120-u5s5heqm 59 46 j j NN cord-132120-u5s5heqm 59 47 = = SYM cord-132120-u5s5heqm 59 48 0 0 CD cord-132120-u5s5heqm 59 49 . . . cord-132120-u5s5heqm 60 1 We -PRON- PRP cord-132120-u5s5heqm 60 2 also also RB cord-132120-u5s5heqm 60 3 let let VBP cord-132120-u5s5heqm 60 4 I -PRON- PRP cord-132120-u5s5heqm 60 5 j j NNP cord-132120-u5s5heqm 60 6 ∈ ∈ VB cord-132120-u5s5heqm 60 7 { { -LRB- cord-132120-u5s5heqm 60 8 0 0 CD cord-132120-u5s5heqm 60 9 , , , cord-132120-u5s5heqm 60 10 1 1 CD cord-132120-u5s5heqm 60 11 } } -RRB- cord-132120-u5s5heqm 60 12 be be VB cord-132120-u5s5heqm 60 13 an an DT cord-132120-u5s5heqm 60 14 indicator indicator NN cord-132120-u5s5heqm 60 15 that that IN cord-132120-u5s5heqm 60 16 the the DT cord-132120-u5s5heqm 60 17 individual individual NN cord-132120-u5s5heqm 60 18 was be VBD cord-132120-u5s5heqm 60 19 selected select VBN cord-132120-u5s5heqm 60 20 for for IN cord-132120-u5s5heqm 60 21 testing testing NN cord-132120-u5s5heqm 60 22 ( ( -LRB- cord-132120-u5s5heqm 60 23 I i NN cord-132120-u5s5heqm 60 24 = = SYM cord-132120-u5s5heqm 60 25 1 1 CD cord-132120-u5s5heqm 60 26 ) ) -RRB- cord-132120-u5s5heqm 60 27 or or CC cord-132120-u5s5heqm 61 1 not not RB cord-132120-u5s5heqm 61 2 ( ( -LRB- cord-132120-u5s5heqm 61 3 I i NN cord-132120-u5s5heqm 61 4 = = SYM cord-132120-u5s5heqm 61 5 0 0 CD cord-132120-u5s5heqm 61 6 ) ) -RRB- cord-132120-u5s5heqm 61 7 . . . cord-132120-u5s5heqm 62 1 To to TO cord-132120-u5s5heqm 62 2 start start VB cord-132120-u5s5heqm 62 3 , , , cord-132120-u5s5heqm 62 4 we -PRON- PRP cord-132120-u5s5heqm 62 5 assume assume VBP cord-132120-u5s5heqm 62 6 the the DT cord-132120-u5s5heqm 62 7 primary primary JJ cord-132120-u5s5heqm 62 8 questions question NNS cord-132120-u5s5heqm 62 9 of of IN cord-132120-u5s5heqm 62 10 interest interest NN cord-132120-u5s5heqm 62 11 are be VBP cord-132120-u5s5heqm 62 12 estimates estimate NNS cord-132120-u5s5heqm 62 13 of of IN cord-132120-u5s5heqm 62 14 the the DT cord-132120-u5s5heqm 62 15 overall overall JJ cord-132120-u5s5heqm 62 16 number number NN cord-132120-u5s5heqm 62 17 of of IN cord-132120-u5s5heqm 62 18 COVID-19 covid-19 JJ cord-132120-u5s5heqm 62 19 cases case NNS cord-132120-u5s5heqm 62 20 and/or and/or CC cord-132120-u5s5heqm 62 21 disease disease NN cord-132120-u5s5heqm 62 22 prevalence prevalence NN cord-132120-u5s5heqm 62 23 . . . cord-132120-u5s5heqm 63 1 That that RB cord-132120-u5s5heqm 63 2 is is RB cord-132120-u5s5heqm 63 3 , , , cord-132120-u5s5heqm 63 4 we -PRON- PRP cord-132120-u5s5heqm 63 5 are be VBP cord-132120-u5s5heqm 63 6 interested interested JJ cord-132120-u5s5heqm 63 7 in in IN cord-132120-u5s5heqm 63 8 either either CC cord-132120-u5s5heqm 63 9 the the DT cord-132120-u5s5heqm 63 10 population population NN cord-132120-u5s5heqm 63 11 total total NN cord-132120-u5s5heqm 63 12 Y Y NNP cord-132120-u5s5heqm 63 13 = = SYM cord-132120-u5s5heqm 63 14 N N NNP cord-132120-u5s5heqm 63 15 j=1 j=1 NNS cord-132120-u5s5heqm 63 16 Y Y NNP cord-132120-u5s5heqm 63 17 j j NNP cord-132120-u5s5heqm 63 18 or or CC cord-132120-u5s5heqm 63 19 the the DT cord-132120-u5s5heqm 63 20 population population NN cord-132120-u5s5heqm 63 21 averageȲ averageȳ NN cord-132120-u5s5heqm 63 22 = = NFP cord-132120-u5s5heqm 64 1 Y Y NNP cord-132120-u5s5heqm 64 2 /N /N NNP cord-132120-u5s5heqm 64 3 . . . cord-132120-u5s5heqm 65 1 Suppose suppose VB cord-132120-u5s5heqm 65 2 that that IN cord-132120-u5s5heqm 65 3 n n NN cord-132120-u5s5heqm 65 4 tests test NNS cord-132120-u5s5heqm 65 5 are be VBP cord-132120-u5s5heqm 65 6 performed perform VBN cord-132120-u5s5heqm 65 7 and and CC cord-132120-u5s5heqm 65 8 we -PRON- PRP cord-132120-u5s5heqm 65 9 observe observe VBP cord-132120-u5s5heqm 65 10 the the DT cord-132120-u5s5heqm 65 11 values value NNS cord-132120-u5s5heqm 65 12 y y NNP cord-132120-u5s5heqm 65 13 1 1 CD cord-132120-u5s5heqm 65 14 , , , cord-132120-u5s5heqm 65 15 . . . cord-132120-u5s5heqm 65 16 . . . cord-132120-u5s5heqm 65 17 . . . cord-132120-u5s5heqm 66 1 , , , cord-132120-u5s5heqm 66 2 y y NNP cord-132120-u5s5heqm 66 3 n n NN cord-132120-u5s5heqm 66 4 ∈ ∈ NNP cord-132120-u5s5heqm 66 5 { { -LRB- cord-132120-u5s5heqm 66 6 0 0 CD cord-132120-u5s5heqm 66 7 , , , cord-132120-u5s5heqm 66 8 1 1 CD cord-132120-u5s5heqm 66 9 } } -RRB- cord-132120-u5s5heqm 66 10 . . . cord-132120-u5s5heqm 67 1 Then then RB cord-132120-u5s5heqm 67 2 a a DT cord-132120-u5s5heqm 67 3 natural natural JJ cord-132120-u5s5heqm 67 4 candidate candidate NN cord-132120-u5s5heqm 67 5 for for IN cord-132120-u5s5heqm 67 6 prevalence prevalence NN cord-132120-u5s5heqm 67 7 is be VBZ cord-132120-u5s5heqm 67 8 the the DT cord-132120-u5s5heqm 67 9 proportion proportion NN cord-132120-u5s5heqm 67 10 of of IN cord-132120-u5s5heqm 67 11 positive positive JJ cord-132120-u5s5heqm 67 12 testsȳ testsȳ NN cord-132120-u5s5heqm 67 13 = = SYM cord-132120-u5s5heqm 67 14 1 1 CD cord-132120-u5s5heqm 67 15 n n NNP cord-132120-u5s5heqm 67 16 n n NNP cord-132120-u5s5heqm 67 17 i=1 i=1 NNP cord-132120-u5s5heqm 67 18 y y NNP cord-132120-u5s5heqm 67 19 i i NNP cord-132120-u5s5heqm 67 20 , , , cord-132120-u5s5heqm 67 21 and and CC cord-132120-u5s5heqm 67 22 a a DT cord-132120-u5s5heqm 67 23 natural natural JJ cord-132120-u5s5heqm 67 24 candidate candidate NN cord-132120-u5s5heqm 67 25 for for IN cord-132120-u5s5heqm 67 26 overall overall JJ cord-132120-u5s5heqm 67 27 cases case NNS cord-132120-u5s5heqm 67 28 is be VBZ cord-132120-u5s5heqm 67 29 N n CD cord-132120-u5s5heqm 67 30 ×ȳ ×ȳ NNS cord-132120-u5s5heqm 67 31 . . . cord-132120-u5s5heqm 68 1 Under under IN cord-132120-u5s5heqm 68 2 simple simple JJ cord-132120-u5s5heqm 68 3 random random JJ cord-132120-u5s5heqm 68 4 sampling sampling NN cord-132120-u5s5heqm 68 5 ( ( -LRB- cord-132120-u5s5heqm 68 6 SRS SRS NNP cord-132120-u5s5heqm 68 7 ) ) -RRB- cord-132120-u5s5heqm 68 8 or or CC cord-132120-u5s5heqm 68 9 any any DT cord-132120-u5s5heqm 68 10 other other JJ cord-132120-u5s5heqm 68 11 epsem epsem NN cord-132120-u5s5heqm 68 12 1 1 CD cord-132120-u5s5heqm 68 13 design design NN cord-132120-u5s5heqm 68 14 , , , cord-132120-u5s5heqm 68 15 the the DT cord-132120-u5s5heqm 68 16 above above JJ cord-132120-u5s5heqm 68 17 are be VBP cord-132120-u5s5heqm 68 18 unbiased unbiased JJ cord-132120-u5s5heqm 68 19 estimators estimator NNS cord-132120-u5s5heqm 68 20 of of IN cord-132120-u5s5heqm 68 21 the the DT cord-132120-u5s5heqm 68 22 population population NN cord-132120-u5s5heqm 68 23 - - HYPH cord-132120-u5s5heqm 68 24 level level NN cord-132120-u5s5heqm 68 25 quantities quantity NNS cord-132120-u5s5heqm 68 26 of of IN cord-132120-u5s5heqm 68 27 interest interest NN cord-132120-u5s5heqm 68 28 . . . cord-132120-u5s5heqm 69 1 Under under IN cord-132120-u5s5heqm 69 2 SRS SRS NNP cord-132120-u5s5heqm 69 3 , , , cord-132120-u5s5heqm 69 4 the the DT cord-132120-u5s5heqm 69 5 variance variance NN cord-132120-u5s5heqm 69 6 of of IN cord-132120-u5s5heqm 69 7 the the DT cord-132120-u5s5heqm 69 8 estimator estimator NN cord-132120-u5s5heqm 69 9 can can MD cord-132120-u5s5heqm 69 10 be be VB cord-132120-u5s5heqm 69 11 expressed express VBN cord-132120-u5s5heqm 69 12 as as IN cord-132120-u5s5heqm 69 13 1 1 CD cord-132120-u5s5heqm 69 14 . . . cord-132120-u5s5heqm 70 1 The the DT cord-132120-u5s5heqm 70 2 above above JJ cord-132120-u5s5heqm 70 3 selection selection NN cord-132120-u5s5heqm 70 4 mechanisms mechanism NNS cord-132120-u5s5heqm 70 5 are be VBP cord-132120-u5s5heqm 70 6 random random JJ cord-132120-u5s5heqm 70 7 and and CC cord-132120-u5s5heqm 70 8 independent independent JJ cord-132120-u5s5heqm 70 9 of of IN cord-132120-u5s5heqm 70 10 the the DT cord-132120-u5s5heqm 70 11 outcome outcome NN cord-132120-u5s5heqm 70 12 of of IN cord-132120-u5s5heqm 70 13 interest interest NN cord-132120-u5s5heqm 70 14 . . . cord-132120-u5s5heqm 71 1 When when WRB cord-132120-u5s5heqm 71 2 this this DT cord-132120-u5s5heqm 71 3 is be VBZ cord-132120-u5s5heqm 71 4 not not RB cord-132120-u5s5heqm 71 5 the the DT cord-132120-u5s5heqm 71 6 case case NN cord-132120-u5s5heqm 71 7 , , , cord-132120-u5s5heqm 71 8 selection selection NN cord-132120-u5s5heqm 71 9 effects effect NNS cord-132120-u5s5heqm 71 10 may may MD cord-132120-u5s5heqm 71 11 cause cause VB cord-132120-u5s5heqm 71 12 bias bias NN cord-132120-u5s5heqm 71 13 in in IN cord-132120-u5s5heqm 71 14 the the DT cord-132120-u5s5heqm 71 15 above above JJ cord-132120-u5s5heqm 71 16 estimates estimate NNS cord-132120-u5s5heqm 71 17 . . . cord-132120-u5s5heqm 72 1 To to TO cord-132120-u5s5heqm 72 2 better well RBR cord-132120-u5s5heqm 72 3 understand understand VB cord-132120-u5s5heqm 72 4 this this DT cord-132120-u5s5heqm 72 5 issue issue NN cord-132120-u5s5heqm 72 6 , , , cord-132120-u5s5heqm 72 7 Meng Meng NNP cord-132120-u5s5heqm 72 8 [ [ -LRB- cord-132120-u5s5heqm 72 9 2018 2018 CD cord-132120-u5s5heqm 72 10 ] ] -RRB- cord-132120-u5s5heqm 72 11 provided provide VBD cord-132120-u5s5heqm 72 12 the the DT cord-132120-u5s5heqm 72 13 following follow VBG cord-132120-u5s5heqm 72 14 intuitive intuitive JJ cord-132120-u5s5heqm 72 15 and and CC cord-132120-u5s5heqm 72 16 powerful powerful JJ cord-132120-u5s5heqm 72 17 statistical statistical JJ cord-132120-u5s5heqm 72 18 decomposition decomposition NN cord-132120-u5s5heqm 72 19 of of IN cord-132120-u5s5heqm 72 20 the the DT cord-132120-u5s5heqm 72 21 error error NN cord-132120-u5s5heqm 72 22 betweenȳ betweenȳ NNP cord-132120-u5s5heqm 72 23 and and CC cord-132120-u5s5heqm 72 24 the the DT cord-132120-u5s5heqm 72 25 true true JJ cord-132120-u5s5heqm 72 26 proportionȲȳ proportionȳȳ CD cord-132120-u5s5heqm 73 1 The the DT cord-132120-u5s5heqm 73 2 first first JJ cord-132120-u5s5heqm 73 3 term term NN cord-132120-u5s5heqm 73 4 represents represent VBZ cord-132120-u5s5heqm 73 5 data data NN cord-132120-u5s5heqm 73 6 quality quality NN cord-132120-u5s5heqm 73 7 , , , cord-132120-u5s5heqm 73 8 the the DT cord-132120-u5s5heqm 73 9 second second JJ cord-132120-u5s5heqm 73 10 data data NN cord-132120-u5s5heqm 73 11 quantity quantity NN cord-132120-u5s5heqm 73 12 , , , cord-132120-u5s5heqm 73 13 and and CC cord-132120-u5s5heqm 73 14 the the DT cord-132120-u5s5heqm 73 15 third third JJ cord-132120-u5s5heqm 73 16 problem problem NN cord-132120-u5s5heqm 73 17 difficulty difficulty NN cord-132120-u5s5heqm 73 18 . . . cord-132120-u5s5heqm 74 1 The the DT cord-132120-u5s5heqm 74 2 term term NN cord-132120-u5s5heqm 74 3 ρ ρ . cord-132120-u5s5heqm 74 4 I -PRON- PRP cord-132120-u5s5heqm 74 5 , , , cord-132120-u5s5heqm 74 6 Y Y NNP cord-132120-u5s5heqm 74 7 is be VBZ cord-132120-u5s5heqm 74 8 the the DT cord-132120-u5s5heqm 74 9 empirical empirical JJ cord-132120-u5s5heqm 74 10 correlation correlation NN cord-132120-u5s5heqm 74 11 between between IN cord-132120-u5s5heqm 74 12 the the DT cord-132120-u5s5heqm 74 13 population population NN cord-132120-u5s5heqm 74 14 values value NNS cord-132120-u5s5heqm 74 15 { { -LRB- cord-132120-u5s5heqm 74 16 Y Y NNP cord-132120-u5s5heqm 74 17 j j NNP cord-132120-u5s5heqm 74 18 } } -RRB- cord-132120-u5s5heqm 74 19 N n CD cord-132120-u5s5heqm 74 20 j=1 j=1 NNS cord-132120-u5s5heqm 74 21 and and CC cord-132120-u5s5heqm 74 22 the the DT cord-132120-u5s5heqm 74 23 selection selection NN cord-132120-u5s5heqm 74 24 values value NNS cord-132120-u5s5heqm 74 25 { { -LRB- cord-132120-u5s5heqm 74 26 I i NN cord-132120-u5s5heqm 74 27 j j NNP cord-132120-u5s5heqm 74 28 } } -RRB- cord-132120-u5s5heqm 74 29 N n CD cord-132120-u5s5heqm 74 30 j=1 j=1 NNS cord-132120-u5s5heqm 74 31 . . . cord-132120-u5s5heqm 75 1 Under under IN cord-132120-u5s5heqm 75 2 simple simple JJ cord-132120-u5s5heqm 75 3 random random JJ cord-132120-u5s5heqm 75 4 sampling sampling NN cord-132120-u5s5heqm 75 5 , , , cord-132120-u5s5heqm 75 6 E E NNP cord-132120-u5s5heqm 75 7 I -PRON- PRP cord-132120-u5s5heqm 75 8 [ [ -LRB- cord-132120-u5s5heqm 75 9 ρ ρ NFP cord-132120-u5s5heqm 75 10 I -PRON- PRP cord-132120-u5s5heqm 75 11 , , , cord-132120-u5s5heqm 75 12 Y Y NNP cord-132120-u5s5heqm 75 13 ] ] -RRB- cord-132120-u5s5heqm 75 14 = = SYM cord-132120-u5s5heqm 75 15 0 0 CD cord-132120-u5s5heqm 75 16 , , , cord-132120-u5s5heqm 75 17 where where WRB cord-132120-u5s5heqm 75 18 the the DT cord-132120-u5s5heqm 75 19 expectation expectation NN cord-132120-u5s5heqm 75 20 is be VBZ cord-132120-u5s5heqm 75 21 with with IN cord-132120-u5s5heqm 75 22 respect respect NN cord-132120-u5s5heqm 75 23 to to IN cord-132120-u5s5heqm 75 24 the the DT cord-132120-u5s5heqm 75 25 selection selection NN cord-132120-u5s5heqm 75 26 mechanism mechanism NN cord-132120-u5s5heqm 76 1 I -PRON- PRP cord-132120-u5s5heqm 76 2 , , , cord-132120-u5s5heqm 76 3 so so CC cord-132120-u5s5heqm 76 4 there there EX cord-132120-u5s5heqm 76 5 is be VBZ cord-132120-u5s5heqm 76 6 no no DT cord-132120-u5s5heqm 76 7 bias bias NN cord-132120-u5s5heqm 76 8 . . . cord-132120-u5s5heqm 77 1 The the DT cord-132120-u5s5heqm 77 2 SRS SRS NNP cord-132120-u5s5heqm 77 3 variance variance NN cord-132120-u5s5heqm 77 4 formula formula NN cord-132120-u5s5heqm 77 5 above above RB cord-132120-u5s5heqm 77 6 shows show VBZ cord-132120-u5s5heqm 77 7 that that IN cord-132120-u5s5heqm 77 8 E e NN cord-132120-u5s5heqm 77 9 I -PRON- PRP cord-132120-u5s5heqm 77 10 [ [ -LRB- cord-132120-u5s5heqm 77 11 ρ ρ NN cord-132120-u5s5heqm 77 12 2 2 CD cord-132120-u5s5heqm 77 13 I I NNP cord-132120-u5s5heqm 77 14 , , , cord-132120-u5s5heqm 77 15 Y Y NNP cord-132120-u5s5heqm 77 16 ] ] -RRB- cord-132120-u5s5heqm 77 17 = = SYM cord-132120-u5s5heqm 77 18 1/(N 1/(n CD cord-132120-u5s5heqm 77 19 − − CD cord-132120-u5s5heqm 77 20 1 1 CD cord-132120-u5s5heqm 77 21 ) ) -RRB- cord-132120-u5s5heqm 77 22 . . . cord-132120-u5s5heqm 78 1 The the DT cord-132120-u5s5heqm 78 2 key key JJ cord-132120-u5s5heqm 78 3 issue issue NN cord-132120-u5s5heqm 78 4 with with IN cord-132120-u5s5heqm 78 5 selective selective JJ cord-132120-u5s5heqm 78 6 testing testing NN cord-132120-u5s5heqm 78 7 is be VBZ cord-132120-u5s5heqm 78 8 that that DT cord-132120-u5s5heqm 79 1 E e UH cord-132120-u5s5heqm 79 2 I -PRON- PRP cord-132120-u5s5heqm 79 3 [ [ -LRB- cord-132120-u5s5heqm 79 4 ρ ρ NFP cord-132120-u5s5heqm 79 5 I -PRON- PRP cord-132120-u5s5heqm 79 6 , , , cord-132120-u5s5heqm 79 7 Y Y NNP cord-132120-u5s5heqm 79 8 ] ] -RRB- cord-132120-u5s5heqm 79 9 = = SYM cord-132120-u5s5heqm 79 10 0 0 CD cord-132120-u5s5heqm 79 11 . . . cord-132120-u5s5heqm 80 1 Meng Meng NNP cord-132120-u5s5heqm 80 2 identified identify VBD cord-132120-u5s5heqm 80 3 this this DT cord-132120-u5s5heqm 80 4 as as IN cord-132120-u5s5heqm 80 5 the the DT cord-132120-u5s5heqm 80 6 fundamental fundamental JJ cord-132120-u5s5heqm 80 7 issue issue NN cord-132120-u5s5heqm 80 8 that that WDT cord-132120-u5s5heqm 80 9 can can MD cord-132120-u5s5heqm 80 10 lead lead VB cord-132120-u5s5heqm 80 11 to to IN cord-132120-u5s5heqm 80 12 paradoxes paradox NNS cord-132120-u5s5heqm 80 13 in in IN cord-132120-u5s5heqm 80 14 the the DT cord-132120-u5s5heqm 80 15 analysis analysis NN cord-132120-u5s5heqm 80 16 of of IN cord-132120-u5s5heqm 80 17 big big JJ cord-132120-u5s5heqm 80 18 data datum NNS cord-132120-u5s5heqm 80 19 . . . cord-132120-u5s5heqm 81 1 Here here RB cord-132120-u5s5heqm 81 2 we -PRON- PRP cord-132120-u5s5heqm 81 3 highlight highlight VBP cord-132120-u5s5heqm 81 4 two two CD cord-132120-u5s5heqm 81 5 key key JJ cord-132120-u5s5heqm 81 6 insights insight NNS cord-132120-u5s5heqm 81 7 from from IN cord-132120-u5s5heqm 81 8 Meng Meng NNP cord-132120-u5s5heqm 81 9 [ [ -LRB- cord-132120-u5s5heqm 81 10 2018 2018 CD cord-132120-u5s5heqm 81 11 ] ] -RRB- cord-132120-u5s5heqm 81 12 that that WDT cord-132120-u5s5heqm 81 13 are be VBP cord-132120-u5s5heqm 81 14 relevant relevant JJ cord-132120-u5s5heqm 81 15 to to IN cord-132120-u5s5heqm 81 16 the the DT cord-132120-u5s5heqm 81 17 COVID-19 COVID-19 NNP cord-132120-u5s5heqm 81 18 crisis crisis NN cord-132120-u5s5heqm 81 19 . . . cord-132120-u5s5heqm 82 1 First first RB cord-132120-u5s5heqm 82 2 , , , cord-132120-u5s5heqm 82 3 comparing compare VBG cord-132120-u5s5heqm 82 4 the the DT cord-132120-u5s5heqm 82 5 mean mean JJ cord-132120-u5s5heqm 82 6 - - HYPH cord-132120-u5s5heqm 82 7 squared squared JJ cord-132120-u5s5heqm 82 8 error error NN cord-132120-u5s5heqm 82 9 under under IN cord-132120-u5s5heqm 82 10 selection selection NN cord-132120-u5s5heqm 82 11 mechanism mechanism NN cord-132120-u5s5heqm 82 12 I I NNP cord-132120-u5s5heqm 82 13 and and CC cord-132120-u5s5heqm 82 14 SRS SRS NNP cord-132120-u5s5heqm 82 15 , , , cord-132120-u5s5heqm 82 16 we -PRON- PRP cord-132120-u5s5heqm 82 17 see see VBP cord-132120-u5s5heqm 82 18 that that IN cord-132120-u5s5heqm 82 19 This this DT cord-132120-u5s5heqm 82 20 points point VBZ cord-132120-u5s5heqm 82 21 to to IN cord-132120-u5s5heqm 82 22 a a DT cord-132120-u5s5heqm 82 23 troubling troubling JJ cord-132120-u5s5heqm 82 24 and and CC cord-132120-u5s5heqm 82 25 paradoxical paradoxical JJ cord-132120-u5s5heqm 82 26 situation situation NN cord-132120-u5s5heqm 82 27 : : : cord-132120-u5s5heqm 82 28 the the DT cord-132120-u5s5heqm 82 29 error error NN cord-132120-u5s5heqm 82 30 relative relative JJ cord-132120-u5s5heqm 82 31 to to IN cord-132120-u5s5heqm 82 32 SRS SRS NNP cord-132120-u5s5heqm 82 33 increases increase NNS cord-132120-u5s5heqm 82 34 as as IN cord-132120-u5s5heqm 82 35 a a DT cord-132120-u5s5heqm 82 36 function function NN cord-132120-u5s5heqm 82 37 of of IN cord-132120-u5s5heqm 82 38 population population NN cord-132120-u5s5heqm 82 39 size size NN cord-132120-u5s5heqm 82 40 . . . cord-132120-u5s5heqm 83 1 Meng Meng NNP cord-132120-u5s5heqm 83 2 [ [ -LRB- cord-132120-u5s5heqm 83 3 2018 2018 CD cord-132120-u5s5heqm 83 4 ] ] -RRB- cord-132120-u5s5heqm 83 5 termed term VBD cord-132120-u5s5heqm 83 6 this this DT cord-132120-u5s5heqm 83 7 the the DT cord-132120-u5s5heqm 83 8 " " `` cord-132120-u5s5heqm 83 9 Law Law NNP cord-132120-u5s5heqm 83 10 of of IN cord-132120-u5s5heqm 83 11 Large large JJ cord-132120-u5s5heqm 83 12 Populations Populations NNPS cord-132120-u5s5heqm 83 13 " " '' cord-132120-u5s5heqm 83 14 ( ( -LRB- cord-132120-u5s5heqm 83 15 LLP LLP NNP cord-132120-u5s5heqm 83 16 ) ) -RRB- cord-132120-u5s5heqm 83 17 . . . cord-132120-u5s5heqm 84 1 This this DT cord-132120-u5s5heqm 84 2 points point VBZ cord-132120-u5s5heqm 84 3 to to IN cord-132120-u5s5heqm 84 4 a a DT cord-132120-u5s5heqm 84 5 critical critical JJ cord-132120-u5s5heqm 84 6 issue issue NN cord-132120-u5s5heqm 84 7 in in IN cord-132120-u5s5heqm 84 8 the the DT cord-132120-u5s5heqm 84 9 current current JJ cord-132120-u5s5heqm 84 10 media medium NNS cord-132120-u5s5heqm 84 11 practices practice NNS cord-132120-u5s5heqm 84 12 in in IN cord-132120-u5s5heqm 84 13 communication communication NN cord-132120-u5s5heqm 84 14 of of IN cord-132120-u5s5heqm 84 15 case case NN cord-132120-u5s5heqm 84 16 - - HYPH cord-132120-u5s5heqm 84 17 count count NN cord-132120-u5s5heqm 84 18 data datum NNS cord-132120-u5s5heqm 84 19 : : : cord-132120-u5s5heqm 84 20 two two CD cord-132120-u5s5heqm 84 21 countries country NNS cord-132120-u5s5heqm 84 22 with with IN cord-132120-u5s5heqm 84 23 the the DT cord-132120-u5s5heqm 84 24 same same JJ cord-132120-u5s5heqm 84 25 testing testing NN cord-132120-u5s5heqm 84 26 strategy strategy NN cord-132120-u5s5heqm 84 27 ( ( -LRB- cord-132120-u5s5heqm 84 28 i.e. i.e. FW cord-132120-u5s5heqm 84 29 , , , cord-132120-u5s5heqm 84 30 E e NN cord-132120-u5s5heqm 84 31 I -PRON- PRP cord-132120-u5s5heqm 85 1 [ [ -LRB- cord-132120-u5s5heqm 85 2 ρ ρ NFP cord-132120-u5s5heqm 85 3 I -PRON- PRP cord-132120-u5s5heqm 85 4 , , , cord-132120-u5s5heqm 85 5 Y Y NNP cord-132120-u5s5heqm 85 6 ] ] -RRB- cord-132120-u5s5heqm 85 7 equal equal JJ cord-132120-u5s5heqm 85 8 ) ) -RRB- cord-132120-u5s5heqm 85 9 can can MD cord-132120-u5s5heqm 85 10 yield yield VB cord-132120-u5s5heqm 85 11 wildly wildly RB cord-132120-u5s5heqm 85 12 different different JJ cord-132120-u5s5heqm 85 13 estimates estimate NNS cord-132120-u5s5heqm 85 14 due due JJ cord-132120-u5s5heqm 85 15 to to IN cord-132120-u5s5heqm 85 16 population population NN cord-132120-u5s5heqm 85 17 size size NN cord-132120-u5s5heqm 85 18 . . . cord-132120-u5s5heqm 86 1 Large large JJ cord-132120-u5s5heqm 86 2 countries country NNS cord-132120-u5s5heqm 86 3 like like IN cord-132120-u5s5heqm 86 4 the the DT cord-132120-u5s5heqm 86 5 US US NNP cord-132120-u5s5heqm 86 6 may may MD cord-132120-u5s5heqm 86 7 have have VB cord-132120-u5s5heqm 86 8 similar similar JJ cord-132120-u5s5heqm 86 9 true true JJ cord-132120-u5s5heqm 86 10 prevalence prevalence NN cord-132120-u5s5heqm 86 11 rates rate NNS cord-132120-u5s5heqm 86 12 as as IN cord-132120-u5s5heqm 86 13 smaller small JJR cord-132120-u5s5heqm 86 14 countries country NNS cord-132120-u5s5heqm 86 15 like like IN cord-132120-u5s5heqm 86 16 the the DT cord-132120-u5s5heqm 86 17 UK UK NNP cord-132120-u5s5heqm 86 18 . . . cord-132120-u5s5heqm 87 1 Even even RB cord-132120-u5s5heqm 87 2 under under IN cord-132120-u5s5heqm 87 3 similar similar JJ cord-132120-u5s5heqm 87 4 testing testing NN cord-132120-u5s5heqm 87 5 strategies strategy NNS cord-132120-u5s5heqm 87 6 , , , cord-132120-u5s5heqm 87 7 the the DT cord-132120-u5s5heqm 87 8 mean mean JJ cord-132120-u5s5heqm 87 9 - - HYPH cord-132120-u5s5heqm 87 10 squared squared JJ cord-132120-u5s5heqm 87 11 error error NN cord-132120-u5s5heqm 87 12 in in IN cord-132120-u5s5heqm 87 13 the the DT cord-132120-u5s5heqm 87 14 prevalence prevalence NN cord-132120-u5s5heqm 87 15 rate rate NN cord-132120-u5s5heqm 87 16 for for IN cord-132120-u5s5heqm 87 17 the the DT cord-132120-u5s5heqm 87 18 US US NNP cord-132120-u5s5heqm 87 19 will will MD cord-132120-u5s5heqm 87 20 have have VB cord-132120-u5s5heqm 87 21 substantially substantially RB cord-132120-u5s5heqm 87 22 more more JJR cord-132120-u5s5heqm 87 23 variation variation NN cord-132120-u5s5heqm 87 24 in in IN cord-132120-u5s5heqm 87 25 comparison comparison NN cord-132120-u5s5heqm 87 26 to to IN cord-132120-u5s5heqm 87 27 SRS SRS NNP cord-132120-u5s5heqm 87 28 . . . cord-132120-u5s5heqm 88 1 Comparing compare VBG cord-132120-u5s5heqm 88 2 the the DT cord-132120-u5s5heqm 88 3 US US NNP cord-132120-u5s5heqm 88 4 to to IN cord-132120-u5s5heqm 88 5 the the DT cord-132120-u5s5heqm 88 6 UK UK NNP cord-132120-u5s5heqm 88 7 , , , cord-132120-u5s5heqm 88 8 for for IN cord-132120-u5s5heqm 88 9 example example NN cord-132120-u5s5heqm 88 10 , , , cord-132120-u5s5heqm 88 11 the the DT cord-132120-u5s5heqm 88 12 MSE MSE NNP cord-132120-u5s5heqm 88 13 will will MD cord-132120-u5s5heqm 88 14 increase increase VB cord-132120-u5s5heqm 88 15 by by IN cord-132120-u5s5heqm 88 16 a a DT cord-132120-u5s5heqm 88 17 factor factor NN cord-132120-u5s5heqm 88 18 of of IN cord-132120-u5s5heqm 88 19 almost almost RB cord-132120-u5s5heqm 88 20 five five CD cord-132120-u5s5heqm 88 21 . . . cord-132120-u5s5heqm 89 1 Thus thus RB cord-132120-u5s5heqm 89 2 conclusions conclusion NNS cord-132120-u5s5heqm 89 3 drawn draw VBN cord-132120-u5s5heqm 89 4 from from IN cord-132120-u5s5heqm 89 5 observed observed JJ cord-132120-u5s5heqm 89 6 case case NN cord-132120-u5s5heqm 89 7 - - HYPH cord-132120-u5s5heqm 89 8 count count NN cord-132120-u5s5heqm 89 9 records record NNS cord-132120-u5s5heqm 89 10 may may MD cord-132120-u5s5heqm 89 11 be be VB cord-132120-u5s5heqm 89 12 not not RB cord-132120-u5s5heqm 89 13 just just RB cord-132120-u5s5heqm 89 14 wrong wrong JJ cord-132120-u5s5heqm 89 15 , , , cord-132120-u5s5heqm 89 16 but but CC cord-132120-u5s5heqm 89 17 very very RB cord-132120-u5s5heqm 89 18 wrong wrong JJ cord-132120-u5s5heqm 89 19 . . . cord-132120-u5s5heqm 90 1 Second second RB cord-132120-u5s5heqm 90 2 , , , cord-132120-u5s5heqm 90 3 there there EX cord-132120-u5s5heqm 90 4 have have VBP cord-132120-u5s5heqm 90 5 been be VBN cord-132120-u5s5heqm 90 6 calls call NNS cord-132120-u5s5heqm 90 7 for for IN cord-132120-u5s5heqm 90 8 increased increase VBN cord-132120-u5s5heqm 90 9 testing testing NN cord-132120-u5s5heqm 90 10 . . . cord-132120-u5s5heqm 91 1 While while IN cord-132120-u5s5heqm 91 2 important important JJ cord-132120-u5s5heqm 91 3 , , , cord-132120-u5s5heqm 91 4 many many JJ cord-132120-u5s5heqm 91 5 conflate conflate VBP cord-132120-u5s5heqm 91 6 increased increase VBN cord-132120-u5s5heqm 91 7 testing testing NN cord-132120-u5s5heqm 91 8 capacity capacity NN cord-132120-u5s5heqm 91 9 with with IN cord-132120-u5s5heqm 91 10 increased increase VBN cord-132120-u5s5heqm 91 11 quality quality NN cord-132120-u5s5heqm 91 12 of of IN cord-132120-u5s5heqm 91 13 testing testing NN cord-132120-u5s5heqm 91 14 . . . cord-132120-u5s5heqm 92 1 We -PRON- PRP cord-132120-u5s5heqm 92 2 will will MD cord-132120-u5s5heqm 92 3 discuss discuss VB cord-132120-u5s5heqm 92 4 this this DT cord-132120-u5s5heqm 92 5 point point NN cord-132120-u5s5heqm 92 6 further far RBR cord-132120-u5s5heqm 92 7 in in IN cord-132120-u5s5heqm 92 8 Section section NN cord-132120-u5s5heqm 92 9 5 5 CD cord-132120-u5s5heqm 92 10 . . . cord-132120-u5s5heqm 93 1 As as IN cord-132120-u5s5heqm 93 2 of of IN cord-132120-u5s5heqm 93 3 May May NNP cord-132120-u5s5heqm 93 4 8th 8th NN cord-132120-u5s5heqm 93 5 , , , cord-132120-u5s5heqm 93 6 the the DT cord-132120-u5s5heqm 93 7 US US NNP cord-132120-u5s5heqm 93 8 has have VBZ cord-132120-u5s5heqm 93 9 performed perform VBN cord-132120-u5s5heqm 93 10 8 8 CD cord-132120-u5s5heqm 93 11 , , , cord-132120-u5s5heqm 93 12 412 412 CD cord-132120-u5s5heqm 93 13 , , , cord-132120-u5s5heqm 93 14 095 095 CD cord-132120-u5s5heqm 93 15 tests test NNS cord-132120-u5s5heqm 93 16 in in IN cord-132120-u5s5heqm 93 17 total total NN cord-132120-u5s5heqm 93 18 . . . cord-132120-u5s5heqm 94 1 Figure figure NN cord-132120-u5s5heqm 94 2 1 1 CD cord-132120-u5s5heqm 94 3 shows show VBZ cord-132120-u5s5heqm 94 4 the the DT cord-132120-u5s5heqm 94 5 trajectory trajectory NN cord-132120-u5s5heqm 94 6 of of IN cord-132120-u5s5heqm 94 7 testing testing NN cord-132120-u5s5heqm 94 8 per per IN cord-132120-u5s5heqm 94 9 day day NN cord-132120-u5s5heqm 94 10 and and CC cord-132120-u5s5heqm 94 11 positive positive JJ cord-132120-u5s5heqm 94 12 cases case NNS cord-132120-u5s5heqm 94 13 per per IN cord-132120-u5s5heqm 94 14 day day NN cord-132120-u5s5heqm 94 15 in in IN cord-132120-u5s5heqm 94 16 the the DT cord-132120-u5s5heqm 94 17 US US NNP cord-132120-u5s5heqm 94 18 . . . cord-132120-u5s5heqm 95 1 The the DT cord-132120-u5s5heqm 95 2 US US NNP cord-132120-u5s5heqm 95 3 population population NN cord-132120-u5s5heqm 95 4 is be VBZ cord-132120-u5s5heqm 95 5 roughly roughly RB cord-132120-u5s5heqm 95 6 328 328 CD cord-132120-u5s5heqm 95 7 million million CD cord-132120-u5s5heqm 95 8 , , , cord-132120-u5s5heqm 95 9 meaning mean VBG cord-132120-u5s5heqm 95 10 the the DT cord-132120-u5s5heqm 95 11 fraction fraction NN cord-132120-u5s5heqm 95 12 sampled sample VBN cord-132120-u5s5heqm 95 13 is be VBZ cord-132120-u5s5heqm 95 14 f f NN cord-132120-u5s5heqm 95 15 = = NN cord-132120-u5s5heqm 95 16 0.026 0.026 CD cord-132120-u5s5heqm 95 17 . . . cord-132120-u5s5heqm 96 1 After after IN cord-132120-u5s5heqm 96 2 smoothing smooth VBG cord-132120-u5s5heqm 96 3 , , , cord-132120-u5s5heqm 96 4 the the DT cord-132120-u5s5heqm 96 5 empirical empirical JJ cord-132120-u5s5heqm 96 6 prevalence prevalence NN cord-132120-u5s5heqm 96 7 is be VBZ cord-132120-u5s5heqm 96 8 9.1 9.1 CD cord-132120-u5s5heqm 96 9 % % NN cord-132120-u5s5heqm 96 10 on on IN cord-132120-u5s5heqm 96 11 May May NNP cord-132120-u5s5heqm 96 12 8th 8th NN cord-132120-u5s5heqm 96 13 . . . cord-132120-u5s5heqm 97 1 Supposing suppose VBG cord-132120-u5s5heqm 97 2 COVID-19 covid-19 DT cord-132120-u5s5heqm 97 3 positive positive JJ cord-132120-u5s5heqm 97 4 individuals individual NNS cord-132120-u5s5heqm 97 5 are be VBP cord-132120-u5s5heqm 97 6 2 2 CD cord-132120-u5s5heqm 97 7 times time NNS cord-132120-u5s5heqm 97 8 more more RBR cord-132120-u5s5heqm 97 9 likely likely JJ cord-132120-u5s5heqm 97 10 to to TO cord-132120-u5s5heqm 97 11 get get VB cord-132120-u5s5heqm 97 12 tested test VBN cord-132120-u5s5heqm 97 13 than than IN cord-132120-u5s5heqm 97 14 those those DT cord-132120-u5s5heqm 97 15 individuals individual NNS cord-132120-u5s5heqm 97 16 who who WP cord-132120-u5s5heqm 97 17 are be VBP cord-132120-u5s5heqm 97 18 COVID-19 COVID-19 NNP cord-132120-u5s5heqm 97 19 negative negative JJ cord-132120-u5s5heqm 97 20 , , , cord-132120-u5s5heqm 97 21 the the DT cord-132120-u5s5heqm 97 22 question question NN cord-132120-u5s5heqm 97 23 is be VBZ cord-132120-u5s5heqm 97 24 " " `` cord-132120-u5s5heqm 97 25 What what WP cord-132120-u5s5heqm 97 26 is be VBZ cord-132120-u5s5heqm 97 27 the the DT cord-132120-u5s5heqm 97 28 sample sample NN cord-132120-u5s5heqm 97 29 size size NN cord-132120-u5s5heqm 97 30 from from IN cord-132120-u5s5heqm 97 31 a a DT cord-132120-u5s5heqm 97 32 SRS SRS NNP cord-132120-u5s5heqm 97 33 that that WDT cord-132120-u5s5heqm 97 34 would would MD cord-132120-u5s5heqm 97 35 yield yield VB cord-132120-u5s5heqm 97 36 equivalent equivalent JJ cord-132120-u5s5heqm 97 37 MSE MSE NNP cord-132120-u5s5heqm 97 38 in in IN cord-132120-u5s5heqm 97 39 the the DT cord-132120-u5s5heqm 97 40 estimated estimate VBN cord-132120-u5s5heqm 97 41 prevalence prevalence NN cord-132120-u5s5heqm 97 42 ? ? . cord-132120-u5s5heqm 97 43 " " '' cord-132120-u5s5heqm 98 1 Using use VBG cord-132120-u5s5heqm 98 2 the the DT cord-132120-u5s5heqm 98 3 above above JJ cord-132120-u5s5heqm 98 4 MSE MSE NNP cord-132120-u5s5heqm 98 5 result result NN cord-132120-u5s5heqm 98 6 , , , cord-132120-u5s5heqm 98 7 Meng Meng NNP cord-132120-u5s5heqm 98 8 showed show VBD cord-132120-u5s5heqm 98 9 the the DT cord-132120-u5s5heqm 98 10 effective effective JJ cord-132120-u5s5heqm 98 11 sample sample NN cord-132120-u5s5heqm 98 12 size size NN cord-132120-u5s5heqm 98 13 is be VBZ cord-132120-u5s5heqm 98 14 equal equal JJ cord-132120-u5s5heqm 98 15 to to IN cord-132120-u5s5heqm 98 16 n n NN cord-132120-u5s5heqm 98 17 ef ef NNP cord-132120-u5s5heqm 98 18 f f NNP cord-132120-u5s5heqm 98 19 ≤ ≤ NNP cord-132120-u5s5heqm 98 20 f f NNP cord-132120-u5s5heqm 98 21 1−f 1−f CD cord-132120-u5s5heqm 98 22 . . . cord-132120-u5s5heqm 99 1 Under under IN cord-132120-u5s5heqm 99 2 these these DT cord-132120-u5s5heqm 99 3 parameters parameter NNS cord-132120-u5s5heqm 99 4 , , , cord-132120-u5s5heqm 99 5 the the DT cord-132120-u5s5heqm 99 6 effective effective JJ cord-132120-u5s5heqm 99 7 sample sample NN cord-132120-u5s5heqm 99 8 size size NN cord-132120-u5s5heqm 99 9 is be VBZ cord-132120-u5s5heqm 99 10 14 14 CD cord-132120-u5s5heqm 99 11 . . . cord-132120-u5s5heqm 100 1 Recent recent JJ cord-132120-u5s5heqm 100 2 proposals proposal NNS cord-132120-u5s5heqm 100 3 [ [ -LRB- cord-132120-u5s5heqm 100 4 Siddarth Siddarth NNP cord-132120-u5s5heqm 100 5 and and CC cord-132120-u5s5heqm 100 6 Weyl Weyl NNP cord-132120-u5s5heqm 100 7 , , , cord-132120-u5s5heqm 100 8 2020 2020 CD cord-132120-u5s5heqm 100 9 ] ] -RRB- cord-132120-u5s5heqm 100 10 have have VBP cord-132120-u5s5heqm 100 11 argued argue VBN cord-132120-u5s5heqm 100 12 in in IN cord-132120-u5s5heqm 100 13 favor favor NN cord-132120-u5s5heqm 100 14 of of IN cord-132120-u5s5heqm 100 15 increasing increase VBG cord-132120-u5s5heqm 100 16 overall overall JJ cord-132120-u5s5heqm 100 17 testing testing NN cord-132120-u5s5heqm 100 18 capacity capacity NN cord-132120-u5s5heqm 100 19 . . . cord-132120-u5s5heqm 101 1 With with IN cord-132120-u5s5heqm 101 2 more more JJR cord-132120-u5s5heqm 101 3 tests test NNS cord-132120-u5s5heqm 101 4 available available JJ cord-132120-u5s5heqm 101 5 , , , cord-132120-u5s5heqm 101 6 the the DT cord-132120-u5s5heqm 101 7 relative relative JJ cord-132120-u5s5heqm 101 8 sampling sampling NN cord-132120-u5s5heqm 101 9 rate rate NN cord-132120-u5s5heqm 101 10 may may MD cord-132120-u5s5heqm 101 11 reduce reduce VB cord-132120-u5s5heqm 101 12 . . . cord-132120-u5s5heqm 102 1 Supposing suppose VBG cord-132120-u5s5heqm 102 2 it -PRON- PRP cord-132120-u5s5heqm 102 3 drops drop VBZ cord-132120-u5s5heqm 102 4 to to IN cord-132120-u5s5heqm 102 5 1.2 1.2 CD cord-132120-u5s5heqm 102 6 then then RB cord-132120-u5s5heqm 102 7 the the DT cord-132120-u5s5heqm 102 8 effective effective JJ cord-132120-u5s5heqm 102 9 sample sample NN cord-132120-u5s5heqm 102 10 size size NN cord-132120-u5s5heqm 102 11 will will MD cord-132120-u5s5heqm 102 12 increase increase VB cord-132120-u5s5heqm 102 13 to to IN cord-132120-u5s5heqm 102 14 299 299 CD cord-132120-u5s5heqm 102 15 . . . cord-132120-u5s5heqm 103 1 See see VB cord-132120-u5s5heqm 103 2 Appendix Appendix NNP cord-132120-u5s5heqm 103 3 B B NNP cord-132120-u5s5heqm 103 4 for for IN cord-132120-u5s5heqm 103 5 the the DT cord-132120-u5s5heqm 103 6 mathematical mathematical JJ cord-132120-u5s5heqm 103 7 details detail NNS cord-132120-u5s5heqm 103 8 and and CC cord-132120-u5s5heqm 103 9 calculations calculation NNS cord-132120-u5s5heqm 103 10 in in IN cord-132120-u5s5heqm 103 11 additional additional JJ cord-132120-u5s5heqm 103 12 scenarios scenario NNS cord-132120-u5s5heqm 103 13 . . . cord-132120-u5s5heqm 104 1 The the DT cord-132120-u5s5heqm 104 2 above above JJ cord-132120-u5s5heqm 104 3 calculations calculation NNS cord-132120-u5s5heqm 104 4 point point VBP cord-132120-u5s5heqm 104 5 to to IN cord-132120-u5s5heqm 104 6 a a DT cord-132120-u5s5heqm 104 7 sad sad JJ cord-132120-u5s5heqm 104 8 state state NN cord-132120-u5s5heqm 104 9 of of IN cord-132120-u5s5heqm 104 10 affairs affair NNS cord-132120-u5s5heqm 104 11 , , , cord-132120-u5s5heqm 104 12 saying say VBG cord-132120-u5s5heqm 104 13 that that IN cord-132120-u5s5heqm 104 14 the the DT cord-132120-u5s5heqm 104 15 effective effective JJ cord-132120-u5s5heqm 104 16 sample sample NN cord-132120-u5s5heqm 104 17 size size NN cord-132120-u5s5heqm 104 18 even even RB cord-132120-u5s5heqm 104 19 in in IN cord-132120-u5s5heqm 104 20 best good JJS cord-132120-u5s5heqm 104 21 case case NN cord-132120-u5s5heqm 104 22 scenarios scenario NNS cord-132120-u5s5heqm 104 23 is be VBZ cord-132120-u5s5heqm 104 24 not not RB cord-132120-u5s5heqm 104 25 better well JJR cord-132120-u5s5heqm 104 26 than than IN cord-132120-u5s5heqm 104 27 a a DT cord-132120-u5s5heqm 104 28 small small JJ cord-132120-u5s5heqm 104 29 random random JJ cord-132120-u5s5heqm 104 30 sample sample NN cord-132120-u5s5heqm 104 31 from from IN cord-132120-u5s5heqm 104 32 the the DT cord-132120-u5s5heqm 104 33 population population NN cord-132120-u5s5heqm 104 34 . . . cord-132120-u5s5heqm 105 1 The the DT cord-132120-u5s5heqm 105 2 remainder remainder NN cord-132120-u5s5heqm 105 3 of of IN cord-132120-u5s5heqm 105 4 this this DT cord-132120-u5s5heqm 105 5 paper paper NN cord-132120-u5s5heqm 105 6 aims aim VBZ cord-132120-u5s5heqm 105 7 to to TO cord-132120-u5s5heqm 105 8 build build VB cord-132120-u5s5heqm 105 9 upon upon IN cord-132120-u5s5heqm 105 10 these these DT cord-132120-u5s5heqm 105 11 fundamental fundamental JJ cord-132120-u5s5heqm 105 12 insights insight NNS cord-132120-u5s5heqm 105 13 by by IN cord-132120-u5s5heqm 105 14 extending extend VBG cord-132120-u5s5heqm 105 15 the the DT cord-132120-u5s5heqm 105 16 decomposition decomposition NN cord-132120-u5s5heqm 105 17 in in IN cord-132120-u5s5heqm 105 18 two two CD cord-132120-u5s5heqm 105 19 directions direction NNS cord-132120-u5s5heqm 105 20 : : : cord-132120-u5s5heqm 105 21 accounting account VBG cord-132120-u5s5heqm 105 22 for for IN cord-132120-u5s5heqm 105 23 measurement measurement NN cord-132120-u5s5heqm 105 24 error error NN cord-132120-u5s5heqm 105 25 and and CC cord-132120-u5s5heqm 105 26 the the DT cord-132120-u5s5heqm 105 27 temporal temporal JJ cord-132120-u5s5heqm 105 28 nature nature NN cord-132120-u5s5heqm 105 29 of of IN cord-132120-u5s5heqm 105 30 the the DT cord-132120-u5s5heqm 105 31 pandemic pandemic NN cord-132120-u5s5heqm 105 32 . . . cord-132120-u5s5heqm 106 1 We -PRON- PRP cord-132120-u5s5heqm 106 2 then then RB cord-132120-u5s5heqm 106 3 discuss discuss VBP cord-132120-u5s5heqm 106 4 effective effective JJ cord-132120-u5s5heqm 106 5 sampling sampling NN cord-132120-u5s5heqm 106 6 methods method NNS cord-132120-u5s5heqm 106 7 and and CC cord-132120-u5s5heqm 106 8 their -PRON- PRP$ cord-132120-u5s5heqm 106 9 importance importance NN cord-132120-u5s5heqm 106 10 in in IN cord-132120-u5s5heqm 106 11 the the DT cord-132120-u5s5heqm 106 12 current current JJ cord-132120-u5s5heqm 106 13 pandemic pandemic NN cord-132120-u5s5heqm 106 14 . . . cord-132120-u5s5heqm 107 1 2.1 2.1 CD cord-132120-u5s5heqm 107 2 . . . cord-132120-u5s5heqm 108 1 Imperfect imperfect JJ cord-132120-u5s5heqm 108 2 testing testing NN cord-132120-u5s5heqm 108 3 . . . cord-132120-u5s5heqm 109 1 Tests test NNS cord-132120-u5s5heqm 109 2 are be VBP cord-132120-u5s5heqm 109 3 imperfect imperfect JJ cord-132120-u5s5heqm 109 4 . . . cord-132120-u5s5heqm 110 1 COVID-19 covid-19 JJ cord-132120-u5s5heqm 110 2 testing testing NN cord-132120-u5s5heqm 110 3 is be VBZ cord-132120-u5s5heqm 110 4 no no DT cord-132120-u5s5heqm 110 5 exception exception NN cord-132120-u5s5heqm 110 6 . . . cord-132120-u5s5heqm 111 1 Here here RB cord-132120-u5s5heqm 111 2 we -PRON- PRP cord-132120-u5s5heqm 111 3 investigate investigate VBP cord-132120-u5s5heqm 111 4 the the DT cord-132120-u5s5heqm 111 5 interplay interplay NN cord-132120-u5s5heqm 111 6 between between IN cord-132120-u5s5heqm 111 7 imperfect imperfect JJ cord-132120-u5s5heqm 111 8 testing testing NN cord-132120-u5s5heqm 111 9 and and CC cord-132120-u5s5heqm 111 10 selection selection NN cord-132120-u5s5heqm 111 11 bias bias NN cord-132120-u5s5heqm 111 12 . . . cord-132120-u5s5heqm 112 1 In in IN cord-132120-u5s5heqm 112 2 discussions discussion NNS cord-132120-u5s5heqm 112 3 of of IN cord-132120-u5s5heqm 112 4 inaccurate inaccurate JJ cord-132120-u5s5heqm 112 5 testing testing NN cord-132120-u5s5heqm 112 6 , , , cord-132120-u5s5heqm 112 7 the the DT cord-132120-u5s5heqm 112 8 standard standard JJ cord-132120-u5s5heqm 112 9 assumption assumption NN cord-132120-u5s5heqm 112 10 is be VBZ cord-132120-u5s5heqm 112 11 measurement measurement NN cord-132120-u5s5heqm 112 12 error error NN cord-132120-u5s5heqm 112 13 leads lead VBZ cord-132120-u5s5heqm 112 14 to to TO cord-132120-u5s5heqm 112 15 parameter parameter VB cord-132120-u5s5heqm 112 16 attenuation attenuation NN cord-132120-u5s5heqm 112 17 . . . cord-132120-u5s5heqm 113 1 When when WRB cord-132120-u5s5heqm 113 2 paired pair VBN cord-132120-u5s5heqm 113 3 with with IN cord-132120-u5s5heqm 113 4 selection selection NN cord-132120-u5s5heqm 113 5 bias bias NN cord-132120-u5s5heqm 113 6 , , , cord-132120-u5s5heqm 113 7 however however RB cord-132120-u5s5heqm 113 8 , , , cord-132120-u5s5heqm 113 9 the the DT cord-132120-u5s5heqm 113 10 two two CD cord-132120-u5s5heqm 113 11 sources source NNS cord-132120-u5s5heqm 113 12 of of IN cord-132120-u5s5heqm 113 13 error error NN cord-132120-u5s5heqm 113 14 become become VBN cord-132120-u5s5heqm 113 15 entangled entangled JJ cord-132120-u5s5heqm 113 16 , , , cord-132120-u5s5heqm 113 17 and and CC cord-132120-u5s5heqm 113 18 resulting result VBG cord-132120-u5s5heqm 113 19 errors error NNS cord-132120-u5s5heqm 113 20 can can MD cord-132120-u5s5heqm 113 21 become become VB cord-132120-u5s5heqm 113 22 magnified magnify VBN cord-132120-u5s5heqm 113 23 , , , cord-132120-u5s5heqm 113 24 muted muted JJ cord-132120-u5s5heqm 113 25 , , , cord-132120-u5s5heqm 113 26 or or CC cord-132120-u5s5heqm 113 27 even even RB cord-132120-u5s5heqm 113 28 switch switch VB cord-132120-u5s5heqm 113 29 signs sign NNS cord-132120-u5s5heqm 113 30 . . . cord-132120-u5s5heqm 114 1 First first RB cord-132120-u5s5heqm 114 2 we -PRON- PRP cord-132120-u5s5heqm 114 3 require require VBP cord-132120-u5s5heqm 114 4 some some DT cord-132120-u5s5heqm 114 5 additional additional JJ cord-132120-u5s5heqm 114 6 notation notation NN cord-132120-u5s5heqm 114 7 . . . cord-132120-u5s5heqm 115 1 Let let VB cord-132120-u5s5heqm 115 2 P p NN cord-132120-u5s5heqm 115 3 j j NNS cord-132120-u5s5heqm 115 4 be be VB cord-132120-u5s5heqm 115 5 an an DT cord-132120-u5s5heqm 115 6 indicator indicator NN cord-132120-u5s5heqm 115 7 of of IN cord-132120-u5s5heqm 115 8 measurement measurement NN cord-132120-u5s5heqm 115 9 error error NN cord-132120-u5s5heqm 115 10 , , , cord-132120-u5s5heqm 115 11 equal equal JJ cord-132120-u5s5heqm 115 12 to to IN cord-132120-u5s5heqm 115 13 1 1 CD cord-132120-u5s5heqm 115 14 when when WRB cord-132120-u5s5heqm 115 15 we -PRON- PRP cord-132120-u5s5heqm 115 16 incorrectly incorrectly RB cord-132120-u5s5heqm 115 17 measure measure VBP cord-132120-u5s5heqm 115 18 the the DT cord-132120-u5s5heqm 115 19 outcome outcome NN cord-132120-u5s5heqm 115 20 and and CC cord-132120-u5s5heqm 115 21 0 0 NFP cord-132120-u5s5heqm 115 22 when when WRB cord-132120-u5s5heqm 115 23 we -PRON- PRP cord-132120-u5s5heqm 115 24 observe observe VBP cord-132120-u5s5heqm 115 25 the the DT cord-132120-u5s5heqm 115 26 true true JJ cord-132120-u5s5heqm 115 27 outcome outcome NN cord-132120-u5s5heqm 115 28 . . . cord-132120-u5s5heqm 116 1 We -PRON- PRP cord-132120-u5s5heqm 116 2 suppose suppose VBP cord-132120-u5s5heqm 116 3 this this DT cord-132120-u5s5heqm 116 4 is be VBZ cord-132120-u5s5heqm 116 5 a a DT cord-132120-u5s5heqm 116 6 stochastic stochastic JJ cord-132120-u5s5heqm 116 7 variable variable NN cord-132120-u5s5heqm 116 8 where where WRB cord-132120-u5s5heqm 116 9 pr(P pr(P NNP cord-132120-u5s5heqm 116 10 j j NN cord-132120-u5s5heqm 116 11 = = SYM cord-132120-u5s5heqm 116 12 1 1 CD cord-132120-u5s5heqm 116 13 | | NNP cord-132120-u5s5heqm 116 14 Y Y NNP cord-132120-u5s5heqm 116 15 j j NN cord-132120-u5s5heqm 116 16 = = SYM cord-132120-u5s5heqm 116 17 1 1 CD cord-132120-u5s5heqm 116 18 ) ) -RRB- cord-132120-u5s5heqm 116 19 = = NFP cord-132120-u5s5heqm 116 20 : : : cord-132120-u5s5heqm 116 21 F F NNP cord-132120-u5s5heqm 116 22 N N NNP cord-132120-u5s5heqm 116 23 is be VBZ cord-132120-u5s5heqm 116 24 the the DT cord-132120-u5s5heqm 116 25 false false JJ cord-132120-u5s5heqm 116 26 - - HYPH cord-132120-u5s5heqm 116 27 negative negative JJ cord-132120-u5s5heqm 116 28 rate rate NN cord-132120-u5s5heqm 116 29 and and CC cord-132120-u5s5heqm 116 30 pr(P pr(p NN cord-132120-u5s5heqm 116 31 j j NN cord-132120-u5s5heqm 116 32 = = SYM cord-132120-u5s5heqm 116 33 1 1 CD cord-132120-u5s5heqm 116 34 | | NNP cord-132120-u5s5heqm 116 35 Y Y NNP cord-132120-u5s5heqm 116 36 j j NN cord-132120-u5s5heqm 116 37 = = NN cord-132120-u5s5heqm 116 38 0 0 NFP cord-132120-u5s5heqm 116 39 ) ) -RRB- cord-132120-u5s5heqm 117 1 = = LS cord-132120-u5s5heqm 117 2 : : : cord-132120-u5s5heqm 117 3 F F NNP cord-132120-u5s5heqm 117 4 P P NNP cord-132120-u5s5heqm 117 5 is be VBZ cord-132120-u5s5heqm 117 6 the the DT cord-132120-u5s5heqm 117 7 false false JJ cord-132120-u5s5heqm 117 8 - - HYPH cord-132120-u5s5heqm 117 9 positive positive JJ cord-132120-u5s5heqm 117 10 rate rate NN cord-132120-u5s5heqm 117 11 . . . cord-132120-u5s5heqm 118 1 If if IN cord-132120-u5s5heqm 118 2 individual individual JJ cord-132120-u5s5heqm 118 3 j j NNP cord-132120-u5s5heqm 118 4 is be VBZ cord-132120-u5s5heqm 118 5 selected select VBN cord-132120-u5s5heqm 118 6 ( ( -LRB- cord-132120-u5s5heqm 118 7 i.e. i.e. FW cord-132120-u5s5heqm 118 8 , , , cord-132120-u5s5heqm 118 9 I -PRON- PRP cord-132120-u5s5heqm 118 10 j j NN cord-132120-u5s5heqm 118 11 = = SYM cord-132120-u5s5heqm 118 12 1 1 CD cord-132120-u5s5heqm 118 13 ) ) -RRB- cord-132120-u5s5heqm 119 1 then then RB cord-132120-u5s5heqm 119 2 the the DT cord-132120-u5s5heqm 119 3 observed observed JJ cord-132120-u5s5heqm 119 4 outcome outcome NN cord-132120-u5s5heqm 119 5 can can MD cord-132120-u5s5heqm 119 6 be be VB cord-132120-u5s5heqm 119 7 written write VBN cord-132120-u5s5heqm 119 8 as as IN cord-132120-u5s5heqm 119 9 Y Y NNP cord-132120-u5s5heqm 119 10 j j NNP cord-132120-u5s5heqm 119 11 = = SYM cord-132120-u5s5heqm 119 12 Y Y NNP cord-132120-u5s5heqm 119 13 j j NNP cord-132120-u5s5heqm 119 14 ( ( -LRB- cord-132120-u5s5heqm 119 15 1 1 CD cord-132120-u5s5heqm 119 16 − − NN cord-132120-u5s5heqm 119 17 P p NN cord-132120-u5s5heqm 119 18 j j NN cord-132120-u5s5heqm 119 19 ) ) -RRB- cord-132120-u5s5heqm 120 1 + + CC cord-132120-u5s5heqm 121 1 ( ( -LRB- cord-132120-u5s5heqm 121 2 1 1 CD cord-132120-u5s5heqm 121 3 − − NN cord-132120-u5s5heqm 121 4 Y Y NNP cord-132120-u5s5heqm 121 5 j j NNP cord-132120-u5s5heqm 121 6 ) ) -RRB- cord-132120-u5s5heqm 121 7 P P NNP cord-132120-u5s5heqm 121 8 j j NNP cord-132120-u5s5heqm 121 9 . . . cord-132120-u5s5heqm 122 1 Suppose suppose VB cord-132120-u5s5heqm 122 2 disease disease NN cord-132120-u5s5heqm 122 3 prevalence prevalence NN cord-132120-u5s5heqm 122 4 was be VBD cord-132120-u5s5heqm 122 5 estimated estimate VBN cord-132120-u5s5heqm 122 6 as as IN cord-132120-u5s5heqm 122 7 the the DT cord-132120-u5s5heqm 122 8 fraction fraction NN cord-132120-u5s5heqm 122 9 who who WP cord-132120-u5s5heqm 122 10 tested test VBD cord-132120-u5s5heqm 122 11 positive positive JJ cord-132120-u5s5heqm 122 12 for for IN cord-132120-u5s5heqm 122 13 i.e. i.e. FW cord-132120-u5s5heqm 122 14 , , , cord-132120-u5s5heqm 122 15 ȳ ȳ NNP cord-132120-u5s5heqm 122 16 _SP cord-132120-u5s5heqm 123 1 We -PRON- PRP cord-132120-u5s5heqm 123 2 can can MD cord-132120-u5s5heqm 123 3 again again RB cord-132120-u5s5heqm 123 4 investigate investigate VB cord-132120-u5s5heqm 123 5 the the DT cord-132120-u5s5heqm 123 6 error error NN cord-132120-u5s5heqm 123 7 compared compare VBN cord-132120-u5s5heqm 123 8 to to IN cord-132120-u5s5heqm 123 9 the the DT cord-132120-u5s5heqm 123 10 true true JJ cord-132120-u5s5heqm 123 11 prevalenceȲ prevalenceȲ NNP cord-132120-u5s5heqm 123 12 in in IN cord-132120-u5s5heqm 123 13 statistical statistical JJ cord-132120-u5s5heqm 123 14 terms term NNS cord-132120-u5s5heqm 123 15 : : : cord-132120-u5s5heqm 123 16 where where WRB cord-132120-u5s5heqm 123 17 Z z NN cord-132120-u5s5heqm 123 18 = = SYM cord-132120-u5s5heqm 123 19 1 1 CD cord-132120-u5s5heqm 123 20 − − NN cord-132120-u5s5heqm 123 21 2Y 2y NN cord-132120-u5s5heqm 123 22 ; ; : cord-132120-u5s5heqm 123 23 see see VB cord-132120-u5s5heqm 123 24 Appendix Appendix NNP cord-132120-u5s5heqm 123 25 A A NNP cord-132120-u5s5heqm 123 26 for for IN cord-132120-u5s5heqm 123 27 the the DT cord-132120-u5s5heqm 123 28 derivation derivation NN cord-132120-u5s5heqm 123 29 . . . cord-132120-u5s5heqm 124 1 The the DT cord-132120-u5s5heqm 124 2 first first JJ cord-132120-u5s5heqm 124 3 term term NN cord-132120-u5s5heqm 124 4 in in IN cord-132120-u5s5heqm 124 5 the the DT cord-132120-u5s5heqm 124 6 large large JJ cord-132120-u5s5heqm 124 7 brackets bracket NNS cord-132120-u5s5heqm 124 8 represents represent VBZ cord-132120-u5s5heqm 124 9 the the DT cord-132120-u5s5heqm 124 10 perfect perfect JJ cord-132120-u5s5heqm 124 11 testing testing NN cord-132120-u5s5heqm 124 12 regime regime NN cord-132120-u5s5heqm 124 13 ; ; : cord-132120-u5s5heqm 124 14 to to IN cord-132120-u5s5heqm 124 15 this this DT cord-132120-u5s5heqm 124 16 end end NN cord-132120-u5s5heqm 124 17 , , , cord-132120-u5s5heqm 124 18 we -PRON- PRP cord-132120-u5s5heqm 124 19 refer refer VBP cord-132120-u5s5heqm 124 20 to to IN cord-132120-u5s5heqm 124 21 ρ ρ NNP cord-132120-u5s5heqm 124 22 I -PRON- PRP cord-132120-u5s5heqm 124 23 , , , cord-132120-u5s5heqm 124 24 Y Y NNP cord-132120-u5s5heqm 124 25 as as IN cord-132120-u5s5heqm 124 26 the the DT cord-132120-u5s5heqm 124 27 true true JJ cord-132120-u5s5heqm 124 28 data data NN cord-132120-u5s5heqm 124 29 quality quality NN cord-132120-u5s5heqm 124 30 . . . cord-132120-u5s5heqm 125 1 The the DT cord-132120-u5s5heqm 125 2 second second JJ cord-132120-u5s5heqm 125 3 term term NN cord-132120-u5s5heqm 125 4 represents represent VBZ cord-132120-u5s5heqm 125 5 the the DT cord-132120-u5s5heqm 125 6 interaction interaction NN cord-132120-u5s5heqm 125 7 between between IN cord-132120-u5s5heqm 125 8 imperfect imperfect JJ cord-132120-u5s5heqm 125 9 testing testing NN cord-132120-u5s5heqm 125 10 and and CC cord-132120-u5s5heqm 125 11 selection selection NN cord-132120-u5s5heqm 125 12 bias bias NN cord-132120-u5s5heqm 125 13 . . . cord-132120-u5s5heqm 126 1 The the DT cord-132120-u5s5heqm 126 2 variable variable JJ cord-132120-u5s5heqm 126 3 P p NN cord-132120-u5s5heqm 126 4 Z z NN cord-132120-u5s5heqm 126 5 = = SYM cord-132120-u5s5heqm 126 6 1[Y 1[y CD cord-132120-u5s5heqm 126 7 = = SYM cord-132120-u5s5heqm 126 8 0 0 CD cord-132120-u5s5heqm 126 9 , , , cord-132120-u5s5heqm 126 10 P p NN cord-132120-u5s5heqm 126 11 = = SYM cord-132120-u5s5heqm 126 12 1 1 CD cord-132120-u5s5heqm 126 13 ] ] -RRB- cord-132120-u5s5heqm 126 14 − − CD cord-132120-u5s5heqm 126 15 1[Y 1[y CD cord-132120-u5s5heqm 127 1 = = SYM cord-132120-u5s5heqm 127 2 1 1 CD cord-132120-u5s5heqm 127 3 , , , cord-132120-u5s5heqm 127 4 P p NN cord-132120-u5s5heqm 127 5 = = SYM cord-132120-u5s5heqm 127 6 1 1 CD cord-132120-u5s5heqm 127 7 ] ] -RRB- cord-132120-u5s5heqm 127 8 is be VBZ cord-132120-u5s5heqm 127 9 non non JJ cord-132120-u5s5heqm 127 10 - - JJ cord-132120-u5s5heqm 127 11 zero zero JJ cord-132120-u5s5heqm 127 12 only only RB cord-132120-u5s5heqm 127 13 when when WRB cord-132120-u5s5heqm 127 14 P p NN cord-132120-u5s5heqm 127 15 = = SYM cord-132120-u5s5heqm 127 16 1 1 CD cord-132120-u5s5heqm 127 17 ( ( -LRB- cord-132120-u5s5heqm 127 18 i.e. i.e. FW cord-132120-u5s5heqm 127 19 , , , cord-132120-u5s5heqm 127 20 the the DT cord-132120-u5s5heqm 127 21 outcome outcome NN cord-132120-u5s5heqm 127 22 is be VBZ cord-132120-u5s5heqm 127 23 incorrectly incorrectly RB cord-132120-u5s5heqm 127 24 reported report VBN cord-132120-u5s5heqm 127 25 ) ) -RRB- cord-132120-u5s5heqm 127 26 ; ; : cord-132120-u5s5heqm 127 27 to to IN cord-132120-u5s5heqm 127 28 this this DT cord-132120-u5s5heqm 127 29 end end NN cord-132120-u5s5heqm 127 30 , , , cord-132120-u5s5heqm 127 31 we -PRON- PRP cord-132120-u5s5heqm 127 32 refer refer VBP cord-132120-u5s5heqm 127 33 to to IN cord-132120-u5s5heqm 127 34 ρ ρ NNP cord-132120-u5s5heqm 127 35 I -PRON- PRP cord-132120-u5s5heqm 127 36 , , , cord-132120-u5s5heqm 127 37 P p NN cord-132120-u5s5heqm 127 38 Z Z NNP cord-132120-u5s5heqm 127 39 as as IN cord-132120-u5s5heqm 127 40 the the DT cord-132120-u5s5heqm 127 41 observed observed JJ cord-132120-u5s5heqm 127 42 data data NN cord-132120-u5s5heqm 127 43 quality quality NN cord-132120-u5s5heqm 127 44 that that WDT cord-132120-u5s5heqm 127 45 accounts account VBZ cord-132120-u5s5heqm 127 46 for for IN cord-132120-u5s5heqm 127 47 both both DT cord-132120-u5s5heqm 127 48 selection selection NN cord-132120-u5s5heqm 127 49 bias bias NN cord-132120-u5s5heqm 127 50 and and CC cord-132120-u5s5heqm 127 51 measurement measurement NN cord-132120-u5s5heqm 127 52 error error NN cord-132120-u5s5heqm 127 53 . . . cord-132120-u5s5heqm 128 1 In in IN cord-132120-u5s5heqm 128 2 the the DT cord-132120-u5s5heqm 128 3 appendix appendix NN cord-132120-u5s5heqm 128 4 , , , cord-132120-u5s5heqm 128 5 we -PRON- PRP cord-132120-u5s5heqm 128 6 show show VBP cord-132120-u5s5heqm 128 7 the the DT cord-132120-u5s5heqm 128 8 sign sign NN cord-132120-u5s5heqm 128 9 of of IN cord-132120-u5s5heqm 128 10 ρ ρ NNP cord-132120-u5s5heqm 128 11 I I NNP cord-132120-u5s5heqm 128 12 , , , cord-132120-u5s5heqm 128 13 P p NN cord-132120-u5s5heqm 128 14 Z z NN cord-132120-u5s5heqm 128 15 is be VBZ cord-132120-u5s5heqm 128 16 the the DT cord-132120-u5s5heqm 128 17 opposite opposite NN cord-132120-u5s5heqm 128 18 of of IN cord-132120-u5s5heqm 128 19 the the DT cord-132120-u5s5heqm 128 20 sign sign NN cord-132120-u5s5heqm 128 21 of of IN cord-132120-u5s5heqm 128 22 ρ ρ NNP cord-132120-u5s5heqm 128 23 I I NNP cord-132120-u5s5heqm 128 24 , , , cord-132120-u5s5heqm 128 25 Y Y NNP cord-132120-u5s5heqm 128 26 , , , cord-132120-u5s5heqm 128 27 which which WDT cord-132120-u5s5heqm 128 28 implies imply VBZ cord-132120-u5s5heqm 128 29 that that IN cord-132120-u5s5heqm 128 30 the the DT cord-132120-u5s5heqm 128 31 observed observed JJ cord-132120-u5s5heqm 128 32 data data NN cord-132120-u5s5heqm 128 33 quality quality NN cord-132120-u5s5heqm 128 34 adds add VBZ cord-132120-u5s5heqm 128 35 error error NN cord-132120-u5s5heqm 128 36 in in IN cord-132120-u5s5heqm 128 37 the the DT cord-132120-u5s5heqm 128 38 opposite opposite JJ cord-132120-u5s5heqm 128 39 direction direction NN cord-132120-u5s5heqm 128 40 from from IN cord-132120-u5s5heqm 128 41 the the DT cord-132120-u5s5heqm 128 42 true true JJ cord-132120-u5s5heqm 128 43 data datum NNS cord-132120-u5s5heqm 128 44 quality quality NN cord-132120-u5s5heqm 128 45 . . . cord-132120-u5s5heqm 129 1 Finally finally RB cord-132120-u5s5heqm 129 2 , , , cord-132120-u5s5heqm 129 3 the the DT cord-132120-u5s5heqm 129 4 third third JJ cord-132120-u5s5heqm 129 5 term term NN cord-132120-u5s5heqm 129 6 represents represent VBZ cord-132120-u5s5heqm 129 7 the the DT cord-132120-u5s5heqm 129 8 bias bias NN cord-132120-u5s5heqm 129 9 due due JJ cord-132120-u5s5heqm 129 10 to to IN cord-132120-u5s5heqm 129 11 imperfect imperfect JJ cord-132120-u5s5heqm 129 12 testing testing NN cord-132120-u5s5heqm 129 13 . . . cord-132120-u5s5heqm 130 1 We -PRON- PRP cord-132120-u5s5heqm 130 2 start start VBP cord-132120-u5s5heqm 130 3 by by IN cord-132120-u5s5heqm 130 4 considering consider VBG cord-132120-u5s5heqm 130 5 the the DT cord-132120-u5s5heqm 130 6 first first JJ cord-132120-u5s5heqm 130 7 two two CD cord-132120-u5s5heqm 130 8 terms term NNS cord-132120-u5s5heqm 130 9 and and CC cord-132120-u5s5heqm 130 10 assess assess VB cord-132120-u5s5heqm 130 11 whether whether IN cord-132120-u5s5heqm 130 12 the the DT cord-132120-u5s5heqm 130 13 sign sign NN cord-132120-u5s5heqm 130 14 of of IN cord-132120-u5s5heqm 130 15 the the DT cord-132120-u5s5heqm 130 16 bias bias NN cord-132120-u5s5heqm 130 17 can can MD cord-132120-u5s5heqm 130 18 reverse reverse VB cord-132120-u5s5heqm 130 19 due due IN cord-132120-u5s5heqm 130 20 to to IN cord-132120-u5s5heqm 130 21 the the DT cord-132120-u5s5heqm 130 22 interaction interaction NN cord-132120-u5s5heqm 130 23 of of IN cord-132120-u5s5heqm 130 24 measurement measurement NN cord-132120-u5s5heqm 130 25 error error NN cord-132120-u5s5heqm 130 26 and and CC cord-132120-u5s5heqm 130 27 selection selection NN cord-132120-u5s5heqm 130 28 bias bias NN cord-132120-u5s5heqm 130 29 . . . cord-132120-u5s5heqm 131 1 To to TO cord-132120-u5s5heqm 131 2 do do VB cord-132120-u5s5heqm 131 3 this this DT cord-132120-u5s5heqm 131 4 , , , cord-132120-u5s5heqm 131 5 we -PRON- PRP cord-132120-u5s5heqm 131 6 define define VBP cord-132120-u5s5heqm 131 7 the the DT cord-132120-u5s5heqm 131 8 sampling sampling NN cord-132120-u5s5heqm 131 9 rates rate NNS cord-132120-u5s5heqm 131 10 differential differential JJ cord-132120-u5s5heqm 131 11 . . . cord-132120-u5s5heqm 132 1 Let let VB cord-132120-u5s5heqm 132 2 f f NNP cord-132120-u5s5heqm 132 3 1 1 CD cord-132120-u5s5heqm 132 4 : : : cord-132120-u5s5heqm 132 5 = = SYM cord-132120-u5s5heqm 132 6 pr(I pr(I NNP cord-132120-u5s5heqm 132 7 J J NNP cord-132120-u5s5heqm 132 8 = = SYM cord-132120-u5s5heqm 132 9 1 1 CD cord-132120-u5s5heqm 132 10 | | NNP cord-132120-u5s5heqm 132 11 Y Y NNP cord-132120-u5s5heqm 132 12 J J NNP cord-132120-u5s5heqm 132 13 = = NN cord-132120-u5s5heqm 132 14 1 1 CD cord-132120-u5s5heqm 132 15 ) ) -RRB- cord-132120-u5s5heqm 132 16 and and CC cord-132120-u5s5heqm 132 17 f f NN cord-132120-u5s5heqm 132 18 0 0 CD cord-132120-u5s5heqm 132 19 : : : cord-132120-u5s5heqm 133 1 = = SYM cord-132120-u5s5heqm 133 2 pr(I pr(I NNP cord-132120-u5s5heqm 133 3 J J NNP cord-132120-u5s5heqm 133 4 = = SYM cord-132120-u5s5heqm 133 5 1 1 CD cord-132120-u5s5heqm 133 6 | | NNP cord-132120-u5s5heqm 133 7 Y Y NNP cord-132120-u5s5heqm 133 8 J j NN cord-132120-u5s5heqm 133 9 = = NN cord-132120-u5s5heqm 133 10 0 0 NFP cord-132120-u5s5heqm 133 11 ) ) -RRB- cord-132120-u5s5heqm 133 12 be be VB cord-132120-u5s5heqm 133 13 the the DT cord-132120-u5s5heqm 133 14 sampling sampling NN cord-132120-u5s5heqm 133 15 rates rate NNS cord-132120-u5s5heqm 133 16 . . . cord-132120-u5s5heqm 134 1 Then then RB cord-132120-u5s5heqm 134 2 ∆ ∆ NNP cord-132120-u5s5heqm 134 3 = = SYM cord-132120-u5s5heqm 134 4 f f NN cord-132120-u5s5heqm 134 5 1 1 CD cord-132120-u5s5heqm 134 6 − − NN cord-132120-u5s5heqm 134 7 f f NN cord-132120-u5s5heqm 134 8 0 0 NFP cord-132120-u5s5heqm 134 9 is be VBZ cord-132120-u5s5heqm 134 10 the the DT cord-132120-u5s5heqm 134 11 sampling sampling NN cord-132120-u5s5heqm 134 12 rate rate NN cord-132120-u5s5heqm 134 13 differential differential NN cord-132120-u5s5heqm 134 14 . . . cord-132120-u5s5heqm 135 1 Using use VBG cord-132120-u5s5heqm 135 2 these these DT cord-132120-u5s5heqm 135 3 terms term NNS cord-132120-u5s5heqm 135 4 , , , cord-132120-u5s5heqm 135 5 we -PRON- PRP cord-132120-u5s5heqm 135 6 can can MD cord-132120-u5s5heqm 135 7 re re VB cord-132120-u5s5heqm 135 8 - - VB cord-132120-u5s5heqm 135 9 express express VB cord-132120-u5s5heqm 135 10 the the DT cord-132120-u5s5heqm 135 11 first first JJ cord-132120-u5s5heqm 135 12 two two CD cord-132120-u5s5heqm 135 13 terms term NNS cord-132120-u5s5heqm 135 14 as as IN cord-132120-u5s5heqm 135 15 The the DT cord-132120-u5s5heqm 135 16 final final JJ cord-132120-u5s5heqm 135 17 term term NN cord-132120-u5s5heqm 135 18 in in IN cord-132120-u5s5heqm 135 19 brackets bracket NNS cord-132120-u5s5heqm 135 20 is be VBZ cord-132120-u5s5heqm 135 21 the the DT cord-132120-u5s5heqm 135 22 measurement measurement NN cord-132120-u5s5heqm 135 23 error error NN cord-132120-u5s5heqm 135 24 adjustment adjustment NN cord-132120-u5s5heqm 135 25 to to TO cord-132120-u5s5heqm 135 26 data data VB cord-132120-u5s5heqm 135 27 quality quality NN cord-132120-u5s5heqm 135 28 which which WDT cord-132120-u5s5heqm 135 29 is be VBZ cord-132120-u5s5heqm 135 30 a a DT cord-132120-u5s5heqm 135 31 complex complex JJ cord-132120-u5s5heqm 135 32 function function NN cord-132120-u5s5heqm 135 33 of of IN cord-132120-u5s5heqm 135 34 sampling sampling NN cord-132120-u5s5heqm 135 35 rate rate NN cord-132120-u5s5heqm 135 36 differential differential NN cord-132120-u5s5heqm 135 37 , , , cord-132120-u5s5heqm 135 38 the the DT cord-132120-u5s5heqm 135 39 odds odd NNS cord-132120-u5s5heqm 135 40 ratio ratio NN cord-132120-u5s5heqm 135 41 , , , cord-132120-u5s5heqm 135 42 and and CC cord-132120-u5s5heqm 135 43 the the DT cord-132120-u5s5heqm 135 44 ratio ratio NN cord-132120-u5s5heqm 135 45 of of IN cord-132120-u5s5heqm 135 46 measurement measurement NN cord-132120-u5s5heqm 135 47 error error NN cord-132120-u5s5heqm 135 48 interaction interaction NN cord-132120-u5s5heqm 135 49 with with IN cord-132120-u5s5heqm 135 50 prevalence prevalence NN cord-132120-u5s5heqm 135 51 and and CC cord-132120-u5s5heqm 135 52 sampling sampling NN cord-132120-u5s5heqm 135 53 rates rate NNS cord-132120-u5s5heqm 135 54 interaction interaction NN cord-132120-u5s5heqm 135 55 with with IN cord-132120-u5s5heqm 135 56 prevalence prevalence NN cord-132120-u5s5heqm 135 57 . . . cord-132120-u5s5heqm 136 1 Note note VB cord-132120-u5s5heqm 136 2 sgn(∆ sgn(∆ NN cord-132120-u5s5heqm 136 3 ) ) -RRB- cord-132120-u5s5heqm 137 1 = = SYM cord-132120-u5s5heqm 137 2 sgn(ρ sgn(ρ NNP cord-132120-u5s5heqm 138 1 I -PRON- PRP cord-132120-u5s5heqm 138 2 , , , cord-132120-u5s5heqm 138 3 Y Y NNP cord-132120-u5s5heqm 138 4 ) ) -RRB- cord-132120-u5s5heqm 138 5 by by IN cord-132120-u5s5heqm 138 6 equation equation NN cord-132120-u5s5heqm 138 7 3 3 CD cord-132120-u5s5heqm 138 8 in in IN cord-132120-u5s5heqm 138 9 the the DT cord-132120-u5s5heqm 138 10 appendix appendix NN cord-132120-u5s5heqm 138 11 , , , cord-132120-u5s5heqm 138 12 which which WDT cord-132120-u5s5heqm 138 13 implies imply VBZ cord-132120-u5s5heqm 138 14 the the DT cord-132120-u5s5heqm 138 15 measurement measurement NN cord-132120-u5s5heqm 138 16 error error NN cord-132120-u5s5heqm 138 17 adjustment adjustment NN cord-132120-u5s5heqm 138 18 either either CC cord-132120-u5s5heqm 138 19 shrinks shrink VBZ cord-132120-u5s5heqm 138 20 the the DT cord-132120-u5s5heqm 138 21 data data NN cord-132120-u5s5heqm 138 22 quality quality NN cord-132120-u5s5heqm 138 23 measure measure NN cord-132120-u5s5heqm 138 24 toward toward IN cord-132120-u5s5heqm 138 25 zero zero CD cord-132120-u5s5heqm 138 26 or or CC cord-132120-u5s5heqm 138 27 reverses reverse VBZ cord-132120-u5s5heqm 138 28 its -PRON- PRP$ cord-132120-u5s5heqm 138 29 sign sign NN cord-132120-u5s5heqm 138 30 . . . cord-132120-u5s5heqm 139 1 While while IN cord-132120-u5s5heqm 139 2 prior prior JJ cord-132120-u5s5heqm 139 3 investigations investigation NNS cord-132120-u5s5heqm 139 4 have have VBP cord-132120-u5s5heqm 139 5 noted note VBN cord-132120-u5s5heqm 139 6 the the DT cord-132120-u5s5heqm 139 7 interaction interaction NN cord-132120-u5s5heqm 139 8 between between IN cord-132120-u5s5heqm 139 9 measurement measurement NN cord-132120-u5s5heqm 139 10 error error NN cord-132120-u5s5heqm 139 11 and and CC cord-132120-u5s5heqm 139 12 selection selection NN cord-132120-u5s5heqm 139 13 bias bias NN cord-132120-u5s5heqm 140 1 [ [ -LRB- cord-132120-u5s5heqm 140 2 Beesley Beesley NNP cord-132120-u5s5heqm 140 3 et et NNP cord-132120-u5s5heqm 140 4 al al NNP cord-132120-u5s5heqm 140 5 . . NNP cord-132120-u5s5heqm 140 6 , , , cord-132120-u5s5heqm 140 7 2020 2020 CD cord-132120-u5s5heqm 140 8 , , , cord-132120-u5s5heqm 140 9 Beesley Beesley NNP cord-132120-u5s5heqm 140 10 and and CC cord-132120-u5s5heqm 140 11 Mukherjee Mukherjee NNP cord-132120-u5s5heqm 140 12 , , , cord-132120-u5s5heqm 140 13 2019 2019 CD cord-132120-u5s5heqm 140 14 , , , cord-132120-u5s5heqm 140 15 van van NNP cord-132120-u5s5heqm 140 16 Smeden Smeden NNP cord-132120-u5s5heqm 140 17 et et NNP cord-132120-u5s5heqm 140 18 al al NNP cord-132120-u5s5heqm 140 19 . . NNP cord-132120-u5s5heqm 140 20 , , , cord-132120-u5s5heqm 140 21 2019 2019 CD cord-132120-u5s5heqm 140 22 , , , cord-132120-u5s5heqm 140 23 the the DT cord-132120-u5s5heqm 140 24 interaction interaction NN cord-132120-u5s5heqm 140 25 with with IN cord-132120-u5s5heqm 140 26 the the DT cord-132120-u5s5heqm 140 27 sample sample NN cord-132120-u5s5heqm 140 28 size size NN cord-132120-u5s5heqm 140 29 relative relative JJ cord-132120-u5s5heqm 140 30 to to IN cord-132120-u5s5heqm 140 31 the the DT cord-132120-u5s5heqm 140 32 population population NN cord-132120-u5s5heqm 140 33 , , , cord-132120-u5s5heqm 140 34 i.e. i.e. FW cord-132120-u5s5heqm 140 35 , , , cord-132120-u5s5heqm 140 36 f f NNP cord-132120-u5s5heqm 140 37 , , , cord-132120-u5s5heqm 140 38 has have VBZ cord-132120-u5s5heqm 140 39 largely largely RB cord-132120-u5s5heqm 140 40 been be VBN cord-132120-u5s5heqm 140 41 ignored ignore VBN cord-132120-u5s5heqm 140 42 . . . cord-132120-u5s5heqm 141 1 The the DT cord-132120-u5s5heqm 141 2 above above JJ cord-132120-u5s5heqm 141 3 statistical statistical JJ cord-132120-u5s5heqm 141 4 decomposition decomposition NN cord-132120-u5s5heqm 141 5 clarifies clarify VBZ cord-132120-u5s5heqm 141 6 the the DT cord-132120-u5s5heqm 141 7 importance importance NN cord-132120-u5s5heqm 141 8 of of IN cord-132120-u5s5heqm 141 9 this this DT cord-132120-u5s5heqm 141 10 quantity quantity NN cord-132120-u5s5heqm 141 11 f f NN cord-132120-u5s5heqm 141 12 . . . cord-132120-u5s5heqm 142 1 In in IN cord-132120-u5s5heqm 142 2 particular particular JJ cord-132120-u5s5heqm 142 3 , , , cord-132120-u5s5heqm 142 4 note note VBP cord-132120-u5s5heqm 142 5 that that IN cord-132120-u5s5heqm 142 6 the the DT cord-132120-u5s5heqm 142 7 statistical statistical JJ cord-132120-u5s5heqm 142 8 error error NN cord-132120-u5s5heqm 142 9 also also RB cord-132120-u5s5heqm 142 10 includes include VBZ cord-132120-u5s5heqm 142 11 a a DT cord-132120-u5s5heqm 142 12 bias bias NN cord-132120-u5s5heqm 142 13 term term NN cord-132120-u5s5heqm 142 14 due due JJ cord-132120-u5s5heqm 142 15 to to IN cord-132120-u5s5heqm 142 16 measurement measurement NN cord-132120-u5s5heqm 142 17 error error NN cord-132120-u5s5heqm 142 18 and and CC cord-132120-u5s5heqm 142 19 this this DT cord-132120-u5s5heqm 142 20 term term NN cord-132120-u5s5heqm 142 21 increases increase VBZ cord-132120-u5s5heqm 142 22 as as IN cord-132120-u5s5heqm 142 23 the the DT cord-132120-u5s5heqm 142 24 sampled sample VBN cord-132120-u5s5heqm 142 25 fraction fraction NN cord-132120-u5s5heqm 142 26 f f NNP cord-132120-u5s5heqm 142 27 increases increase NNS cord-132120-u5s5heqm 142 28 . . . cord-132120-u5s5heqm 143 1 Therefore therefore RB cord-132120-u5s5heqm 143 2 , , , cord-132120-u5s5heqm 143 3 how how WRB cord-132120-u5s5heqm 143 4 the the DT cord-132120-u5s5heqm 143 5 first first JJ cord-132120-u5s5heqm 143 6 two two CD cord-132120-u5s5heqm 143 7 terms term NNS cord-132120-u5s5heqm 143 8 interact interact VBP cord-132120-u5s5heqm 143 9 with with IN cord-132120-u5s5heqm 143 10 the the DT cord-132120-u5s5heqm 143 11 final final JJ cord-132120-u5s5heqm 143 12 term term NN cord-132120-u5s5heqm 143 13 depends depend VBZ cord-132120-u5s5heqm 143 14 on on IN cord-132120-u5s5heqm 143 15 the the DT cord-132120-u5s5heqm 143 16 fraction fraction NN cord-132120-u5s5heqm 143 17 of of IN cord-132120-u5s5heqm 143 18 the the DT cord-132120-u5s5heqm 143 19 population population NN cord-132120-u5s5heqm 143 20 sampled sample VBN cord-132120-u5s5heqm 143 21 . . . cord-132120-u5s5heqm 144 1 This this DT cord-132120-u5s5heqm 144 2 interaction interaction NN cord-132120-u5s5heqm 144 3 is be VBZ cord-132120-u5s5heqm 144 4 complex complex JJ cord-132120-u5s5heqm 144 5 , , , cord-132120-u5s5heqm 144 6 but but CC cord-132120-u5s5heqm 144 7 implies imply VBZ cord-132120-u5s5heqm 144 8 that that IN cord-132120-u5s5heqm 144 9 whether whether IN cord-132120-u5s5heqm 144 10 the the DT cord-132120-u5s5heqm 144 11 estimateȳ estimateȳ NNP cord-132120-u5s5heqm 144 12 n n NN cord-132120-u5s5heqm 144 13 is be VBZ cord-132120-u5s5heqm 144 14 an an DT cord-132120-u5s5heqm 144 15 overestimate overestimate JJ cord-132120-u5s5heqm 144 16 or or CC cord-132120-u5s5heqm 144 17 underestimate underestimate JJ cord-132120-u5s5heqm 144 18 is be VBZ cord-132120-u5s5heqm 144 19 a a DT cord-132120-u5s5heqm 144 20 complicated complicated JJ cord-132120-u5s5heqm 144 21 question question NN cord-132120-u5s5heqm 144 22 due due IN cord-132120-u5s5heqm 144 23 to to IN cord-132120-u5s5heqm 144 24 the the DT cord-132120-u5s5heqm 144 25 relation relation NN cord-132120-u5s5heqm 144 26 amongst amongst IN cord-132120-u5s5heqm 144 27 these these DT cord-132120-u5s5heqm 144 28 three three CD cord-132120-u5s5heqm 144 29 pieces piece NNS cord-132120-u5s5heqm 144 30 . . . cord-132120-u5s5heqm 145 1 Consider consider VB cord-132120-u5s5heqm 145 2 again again RB cord-132120-u5s5heqm 145 3 the the DT cord-132120-u5s5heqm 145 4 current current JJ cord-132120-u5s5heqm 145 5 COVID-19 COVID-19 NNP cord-132120-u5s5heqm 145 6 pandemic pandemic NN cord-132120-u5s5heqm 145 7 . . . cord-132120-u5s5heqm 146 1 For for IN cord-132120-u5s5heqm 146 2 now now RB cord-132120-u5s5heqm 146 3 , , , cord-132120-u5s5heqm 146 4 we -PRON- PRP cord-132120-u5s5heqm 146 5 continue continue VBP cord-132120-u5s5heqm 146 6 to to TO cord-132120-u5s5heqm 146 7 assume assume VB cord-132120-u5s5heqm 146 8 the the DT cord-132120-u5s5heqm 146 9 ratio ratio NN cord-132120-u5s5heqm 146 10 of of IN cord-132120-u5s5heqm 146 11 conditional conditional JJ cord-132120-u5s5heqm 146 12 selection selection NN cord-132120-u5s5heqm 146 13 rates rate NNS cord-132120-u5s5heqm 146 14 f f NNP cord-132120-u5s5heqm 146 15 1 1 CD cord-132120-u5s5heqm 146 16 /f /f NN cord-132120-u5s5heqm 146 17 0 0 NFP cord-132120-u5s5heqm 146 18 is be VBZ cord-132120-u5s5heqm 146 19 equal equal JJ cord-132120-u5s5heqm 146 20 to to IN cord-132120-u5s5heqm 146 21 1.5 1.5 CD cord-132120-u5s5heqm 146 22 . . . cord-132120-u5s5heqm 147 1 In in IN cord-132120-u5s5heqm 147 2 Section section NN cord-132120-u5s5heqm 147 3 3.4 3.4 CD cord-132120-u5s5heqm 147 4 , , , cord-132120-u5s5heqm 147 5 we -PRON- PRP cord-132120-u5s5heqm 147 6 discuss discuss VBP cord-132120-u5s5heqm 147 7 recent recent JJ cord-132120-u5s5heqm 147 8 research research NN cord-132120-u5s5heqm 147 9 suggesting suggest VBG cord-132120-u5s5heqm 147 10 a a DT cord-132120-u5s5heqm 147 11 false false JJ cord-132120-u5s5heqm 147 12 negative negative JJ cord-132120-u5s5heqm 147 13 rate rate NN cord-132120-u5s5heqm 147 14 around around IN cord-132120-u5s5heqm 147 15 17.2 17.2 CD cord-132120-u5s5heqm 147 16 % % NN cord-132120-u5s5heqm 147 17 and and CC cord-132120-u5s5heqm 147 18 a a DT cord-132120-u5s5heqm 147 19 false false JJ cord-132120-u5s5heqm 147 20 positive positive JJ cord-132120-u5s5heqm 147 21 rate rate NN cord-132120-u5s5heqm 147 22 around around IN cord-132120-u5s5heqm 147 23 0.05 0.05 CD cord-132120-u5s5heqm 147 24 % % NN cord-132120-u5s5heqm 147 25 . . . cord-132120-u5s5heqm 148 1 Under under IN cord-132120-u5s5heqm 148 2 these these DT cord-132120-u5s5heqm 148 3 rates rate NNS cord-132120-u5s5heqm 148 4 and and CC cord-132120-u5s5heqm 148 5 the the DT cord-132120-u5s5heqm 148 6 current current JJ cord-132120-u5s5heqm 148 7 US US NNP cord-132120-u5s5heqm 148 8 prevalence prevalence NN cord-132120-u5s5heqm 148 9 rates rate NNS cord-132120-u5s5heqm 148 10 , , , cord-132120-u5s5heqm 148 11 the the DT cord-132120-u5s5heqm 148 12 ratio ratio NN cord-132120-u5s5heqm 148 13 of of IN cord-132120-u5s5heqm 148 14 the the DT cord-132120-u5s5heqm 148 15 MSE MSE NNP cord-132120-u5s5heqm 148 16 to to IN cord-132120-u5s5heqm 148 17 MSE MSE NNP cord-132120-u5s5heqm 148 18 under under IN cord-132120-u5s5heqm 148 19 no no DT cord-132120-u5s5heqm 148 20 measurement measurement NN cord-132120-u5s5heqm 148 21 error error NN cord-132120-u5s5heqm 148 22 is be VBZ cord-132120-u5s5heqm 148 23 0.436 0.436 CD cord-132120-u5s5heqm 148 24 ; ; : cord-132120-u5s5heqm 148 25 if if IN cord-132120-u5s5heqm 148 26 we -PRON- PRP cord-132120-u5s5heqm 148 27 switch switch VBP cord-132120-u5s5heqm 148 28 false false JJ cord-132120-u5s5heqm 148 29 negative negative JJ cord-132120-u5s5heqm 148 30 rates rate NNS cord-132120-u5s5heqm 148 31 down down RB cord-132120-u5s5heqm 148 32 to to IN cord-132120-u5s5heqm 148 33 5 5 CD cord-132120-u5s5heqm 148 34 % % NN cord-132120-u5s5heqm 148 35 and and CC cord-132120-u5s5heqm 148 36 increase increase VB cord-132120-u5s5heqm 148 37 the the DT cord-132120-u5s5heqm 148 38 false false JJ cord-132120-u5s5heqm 148 39 positive positive JJ cord-132120-u5s5heqm 148 40 rate rate NN cord-132120-u5s5heqm 148 41 to to IN cord-132120-u5s5heqm 148 42 5 5 CD cord-132120-u5s5heqm 148 43 % % NN cord-132120-u5s5heqm 148 44 then then RB cord-132120-u5s5heqm 148 45 the the DT cord-132120-u5s5heqm 148 46 relative relative JJ cord-132120-u5s5heqm 148 47 MSE MSE NNP cord-132120-u5s5heqm 148 48 is be VBZ cord-132120-u5s5heqm 148 49 2.89 2.89 CD cord-132120-u5s5heqm 148 50 . . . cord-132120-u5s5heqm 149 1 This this DT cord-132120-u5s5heqm 149 2 is be VBZ cord-132120-u5s5heqm 149 3 merely merely RB cord-132120-u5s5heqm 149 4 to to TO cord-132120-u5s5heqm 149 5 demonstrate demonstrate VB cord-132120-u5s5heqm 149 6 that that IN cord-132120-u5s5heqm 149 7 in in IN cord-132120-u5s5heqm 149 8 some some DT cord-132120-u5s5heqm 149 9 cases case NNS cord-132120-u5s5heqm 149 10 we -PRON- PRP cord-132120-u5s5heqm 149 11 see see VBP cord-132120-u5s5heqm 149 12 a a DT cord-132120-u5s5heqm 149 13 huge huge JJ cord-132120-u5s5heqm 149 14 increase increase NN cord-132120-u5s5heqm 149 15 in in IN cord-132120-u5s5heqm 149 16 MSE MSE NNP cord-132120-u5s5heqm 149 17 and and CC cord-132120-u5s5heqm 149 18 in in IN cord-132120-u5s5heqm 149 19 other other JJ cord-132120-u5s5heqm 149 20 settings setting NNS cord-132120-u5s5heqm 149 21 we -PRON- PRP cord-132120-u5s5heqm 149 22 have have VBP cord-132120-u5s5heqm 149 23 a a DT cord-132120-u5s5heqm 149 24 huge huge JJ cord-132120-u5s5heqm 149 25 decrease decrease NN cord-132120-u5s5heqm 149 26 in in IN cord-132120-u5s5heqm 149 27 MSE MSE NNP cord-132120-u5s5heqm 149 28 . . . cord-132120-u5s5heqm 150 1 What what WP cord-132120-u5s5heqm 150 2 drives drive VBZ cord-132120-u5s5heqm 150 3 this this DT cord-132120-u5s5heqm 150 4 is be VBZ cord-132120-u5s5heqm 150 5 the the DT cord-132120-u5s5heqm 150 6 false false JJ cord-132120-u5s5heqm 150 7 positive positive JJ cord-132120-u5s5heqm 150 8 and and CC cord-132120-u5s5heqm 150 9 negative negative JJ cord-132120-u5s5heqm 150 10 rate rate NN cord-132120-u5s5heqm 150 11 interaction interaction NN cord-132120-u5s5heqm 150 12 with with IN cord-132120-u5s5heqm 150 13 prevalence prevalence NN cord-132120-u5s5heqm 150 14 and and CC cord-132120-u5s5heqm 150 15 sampling sampling NN cord-132120-u5s5heqm 150 16 rates rate NNS cord-132120-u5s5heqm 150 17 . . . cord-132120-u5s5heqm 151 1 Therefore therefore RB cord-132120-u5s5heqm 151 2 , , , cord-132120-u5s5heqm 151 3 whether whether IN cord-132120-u5s5heqm 151 4 we -PRON- PRP cord-132120-u5s5heqm 151 5 are be VBP cord-132120-u5s5heqm 151 6 better well JJR cord-132120-u5s5heqm 151 7 or or CC cord-132120-u5s5heqm 151 8 worse bad JJR cord-132120-u5s5heqm 151 9 off off RP cord-132120-u5s5heqm 151 10 with with IN cord-132120-u5s5heqm 151 11 respect respect NN cord-132120-u5s5heqm 151 12 to to IN cord-132120-u5s5heqm 151 13 the the DT cord-132120-u5s5heqm 151 14 MSE MSE NNP cord-132120-u5s5heqm 151 15 is be VBZ cord-132120-u5s5heqm 151 16 a a DT cord-132120-u5s5heqm 151 17 very very RB cord-132120-u5s5heqm 151 18 difficult difficult JJ cord-132120-u5s5heqm 151 19 question question NN cord-132120-u5s5heqm 151 20 to to TO cord-132120-u5s5heqm 151 21 answer answer VB cord-132120-u5s5heqm 151 22 . . . cord-132120-u5s5heqm 152 1 The the DT cord-132120-u5s5heqm 152 2 attentive attentive JJ cord-132120-u5s5heqm 152 3 data datum NNS cord-132120-u5s5heqm 152 4 analyst analyst NN cord-132120-u5s5heqm 152 5 will will MD cord-132120-u5s5heqm 152 6 recognize recognize VB cord-132120-u5s5heqm 152 7 the the DT cord-132120-u5s5heqm 152 8 estimatorȳ estimatorȳ NN cord-132120-u5s5heqm 152 9 n n NNP cord-132120-u5s5heqm 152 10 is be VBZ cord-132120-u5s5heqm 152 11 biased bias VBN cord-132120-u5s5heqm 152 12 even even RB cord-132120-u5s5heqm 152 13 for for IN cord-132120-u5s5heqm 152 14 simple simple JJ cord-132120-u5s5heqm 152 15 random random JJ cord-132120-u5s5heqm 152 16 samples sample NNS cord-132120-u5s5heqm 152 17 and and CC cord-132120-u5s5heqm 152 18 , , , cord-132120-u5s5heqm 152 19 if if IN cord-132120-u5s5heqm 152 20 sensitivity sensitivity NN cord-132120-u5s5heqm 152 21 and and CC cord-132120-u5s5heqm 152 22 specificity specificity NN cord-132120-u5s5heqm 152 23 were be VBD cord-132120-u5s5heqm 152 24 known know VBN cord-132120-u5s5heqm 152 25 a a DT cord-132120-u5s5heqm 152 26 priori priori FW cord-132120-u5s5heqm 152 27 , , , cord-132120-u5s5heqm 152 28 may may MD cord-132120-u5s5heqm 152 29 suggest suggest VB cord-132120-u5s5heqm 152 30 the the DT cord-132120-u5s5heqm 152 31 alternative alternative NN cord-132120-u5s5heqm 152 32 estimatorỹ estimatorỹ NNP cord-132120-u5s5heqm 152 33 n n NN cord-132120-u5s5heqm 152 34 = = SYM cord-132120-u5s5heqm 152 35 ȳ ȳ NN cord-132120-u5s5heqm 152 36 n n NN cord-132120-u5s5heqm 152 37 + + NN cord-132120-u5s5heqm 152 38 ( ( -LRB- cord-132120-u5s5heqm 152 39 1 1 CD cord-132120-u5s5heqm 152 40 −ȳ −ȳ NNP cord-132120-u5s5heqm 152 41 n n NN cord-132120-u5s5heqm 152 42 ) ) -RRB- cord-132120-u5s5heqm 152 43 F F NNP cord-132120-u5s5heqm 152 44 P p NN cord-132120-u5s5heqm 152 45 + + CC cord-132120-u5s5heqm 152 46 F F NNP cord-132120-u5s5heqm 152 47 Nȳ Nȳ NNP cord-132120-u5s5heqm 152 48 n n NNP cord-132120-u5s5heqm 152 49 which which WDT cord-132120-u5s5heqm 152 50 is be VBZ cord-132120-u5s5heqm 152 51 unbiased unbiased JJ cord-132120-u5s5heqm 152 52 under under IN cord-132120-u5s5heqm 152 53 simple simple JJ cord-132120-u5s5heqm 152 54 random random JJ cord-132120-u5s5heqm 152 55 sampling sampling NN cord-132120-u5s5heqm 152 56 . . . cord-132120-u5s5heqm 153 1 We -PRON- PRP cord-132120-u5s5heqm 153 2 again again RB cord-132120-u5s5heqm 153 3 wish wish VBP cord-132120-u5s5heqm 153 4 to to TO cord-132120-u5s5heqm 153 5 express express VB cord-132120-u5s5heqm 153 6 the the DT cord-132120-u5s5heqm 153 7 errorỹ errorỹ NNP cord-132120-u5s5heqm 153 8 n n NNP cord-132120-u5s5heqm 153 9 −Ȳ −Ȳ NNP cord-132120-u5s5heqm 153 10 in in IN cord-132120-u5s5heqm 153 11 statistical statistical JJ cord-132120-u5s5heqm 153 12 terms term NNS cord-132120-u5s5heqm 153 13 . . . cord-132120-u5s5heqm 154 1 In in IN cord-132120-u5s5heqm 154 2 the the DT cord-132120-u5s5heqm 154 3 appendix appendix NN cord-132120-u5s5heqm 154 4 , , , cord-132120-u5s5heqm 154 5 we -PRON- PRP cord-132120-u5s5heqm 154 6 show show VBP cord-132120-u5s5heqm 154 7 that that IN cord-132120-u5s5heqm 154 8 the the DT cord-132120-u5s5heqm 154 9 error error NN cord-132120-u5s5heqm 154 10 now now RB cord-132120-u5s5heqm 154 11 can can MD cord-132120-u5s5heqm 154 12 be be VB cord-132120-u5s5heqm 154 13 expressed express VBN cord-132120-u5s5heqm 154 14 as as IN cord-132120-u5s5heqm 154 15 ( ( -LRB- cord-132120-u5s5heqm 154 16 1 1 LS cord-132120-u5s5heqm 154 17 ) ) -RRB- cord-132120-u5s5heqm 154 18 The the DT cord-132120-u5s5heqm 154 19 first first JJ cord-132120-u5s5heqm 154 20 term term NN cord-132120-u5s5heqm 154 21 is be VBZ cord-132120-u5s5heqm 154 22 the the DT cord-132120-u5s5heqm 154 23 same same JJ cord-132120-u5s5heqm 154 24 as as IN cord-132120-u5s5heqm 154 25 before before RB cord-132120-u5s5heqm 154 26 but but CC cord-132120-u5s5heqm 154 27 increased increase VBD cord-132120-u5s5heqm 154 28 by by IN cord-132120-u5s5heqm 154 29 ( ( -LRB- cord-132120-u5s5heqm 154 30 1 1 CD cord-132120-u5s5heqm 154 31 + + CC cord-132120-u5s5heqm 154 32 F f NN cord-132120-u5s5heqm 154 33 P p NN cord-132120-u5s5heqm 154 34 + + CC cord-132120-u5s5heqm 154 35 F F NNP cord-132120-u5s5heqm 154 36 N N NNP cord-132120-u5s5heqm 154 37 ) ) -RRB- cord-132120-u5s5heqm 154 38 to to TO cord-132120-u5s5heqm 154 39 account account VB cord-132120-u5s5heqm 154 40 for for IN cord-132120-u5s5heqm 154 41 the the DT cord-132120-u5s5heqm 154 42 additional additional JJ cord-132120-u5s5heqm 154 43 uncertainty uncertainty NN cord-132120-u5s5heqm 154 44 due due JJ cord-132120-u5s5heqm 154 45 to to IN cord-132120-u5s5heqm 154 46 measurement measurement NN cord-132120-u5s5heqm 154 47 error error NN cord-132120-u5s5heqm 154 48 . . . cord-132120-u5s5heqm 155 1 The the DT cord-132120-u5s5heqm 155 2 second second JJ cord-132120-u5s5heqm 155 3 term term NN cord-132120-u5s5heqm 155 4 is be VBZ cord-132120-u5s5heqm 155 5 the the DT cord-132120-u5s5heqm 155 6 interaction interaction NN cord-132120-u5s5heqm 155 7 between between IN cord-132120-u5s5heqm 155 8 selection selection NN cord-132120-u5s5heqm 155 9 bias bias NN cord-132120-u5s5heqm 155 10 and and CC cord-132120-u5s5heqm 155 11 measurement measurement NN cord-132120-u5s5heqm 155 12 error error NN cord-132120-u5s5heqm 155 13 . . . cord-132120-u5s5heqm 156 1 Figure figure NN cord-132120-u5s5heqm 156 2 2 2 CD cord-132120-u5s5heqm 156 3 presents present VBZ cord-132120-u5s5heqm 156 4 the the DT cord-132120-u5s5heqm 156 5 measurement measurement NN cord-132120-u5s5heqm 156 6 error error NN cord-132120-u5s5heqm 156 7 data data NN cord-132120-u5s5heqm 156 8 quality quality NN cord-132120-u5s5heqm 156 9 adjustment adjustment NN cord-132120-u5s5heqm 156 10 as as IN cord-132120-u5s5heqm 156 11 a a DT cord-132120-u5s5heqm 156 12 function function NN cord-132120-u5s5heqm 156 13 of of IN cord-132120-u5s5heqm 156 14 the the DT cord-132120-u5s5heqm 156 15 relative relative JJ cord-132120-u5s5heqm 156 16 frequency frequency NN cord-132120-u5s5heqm 156 17 and and CC cord-132120-u5s5heqm 156 18 odds odd NNS cord-132120-u5s5heqm 156 19 ratio ratio NN cord-132120-u5s5heqm 156 20 . . . cord-132120-u5s5heqm 157 1 We -PRON- PRP cord-132120-u5s5heqm 157 2 see see VBP cord-132120-u5s5heqm 157 3 that that IN cord-132120-u5s5heqm 157 4 the the DT cord-132120-u5s5heqm 157 5 adjustment adjustment NN cord-132120-u5s5heqm 157 6 can can MD cord-132120-u5s5heqm 157 7 be be VB cord-132120-u5s5heqm 157 8 both both DT cord-132120-u5s5heqm 157 9 positive positive JJ cord-132120-u5s5heqm 157 10 and and CC cord-132120-u5s5heqm 157 11 negative negative JJ cord-132120-u5s5heqm 157 12 as as RB cord-132120-u5s5heqm 157 13 well well RB cord-132120-u5s5heqm 157 14 as as IN cord-132120-u5s5heqm 157 15 a a DT cord-132120-u5s5heqm 157 16 range range NN cord-132120-u5s5heqm 157 17 of of IN cord-132120-u5s5heqm 157 18 magnitudes magnitude NNS cord-132120-u5s5heqm 157 19 . . . cord-132120-u5s5heqm 158 1 We -PRON- PRP cord-132120-u5s5heqm 158 2 next next RB cord-132120-u5s5heqm 158 3 investigate investigate VBP cord-132120-u5s5heqm 158 4 the the DT cord-132120-u5s5heqm 158 5 impact impact NN cord-132120-u5s5heqm 158 6 of of IN cord-132120-u5s5heqm 158 7 measurement measurement NN cord-132120-u5s5heqm 158 8 error error NN cord-132120-u5s5heqm 158 9 on on IN cord-132120-u5s5heqm 158 10 the the DT cord-132120-u5s5heqm 158 11 effective effective JJ cord-132120-u5s5heqm 158 12 sample sample NN cord-132120-u5s5heqm 158 13 size size NN cord-132120-u5s5heqm 158 14 calculation calculation NN cord-132120-u5s5heqm 158 15 . . . cord-132120-u5s5heqm 159 1 The the DT cord-132120-u5s5heqm 159 2 effective effective JJ cord-132120-u5s5heqm 159 3 sample sample NN cord-132120-u5s5heqm 159 4 size size NN cord-132120-u5s5heqm 159 5 can can MD cord-132120-u5s5heqm 159 6 now now RB cord-132120-u5s5heqm 159 7 be be VB cord-132120-u5s5heqm 159 8 bounded bound VBN cord-132120-u5s5heqm 159 9 by by IN cord-132120-u5s5heqm 160 1 In in IN cord-132120-u5s5heqm 160 2 Section section NN cord-132120-u5s5heqm 160 3 3.4 3.4 CD cord-132120-u5s5heqm 160 4 , , , cord-132120-u5s5heqm 160 5 we -PRON- PRP cord-132120-u5s5heqm 160 6 discuss discuss VBP cord-132120-u5s5heqm 160 7 recent recent JJ cord-132120-u5s5heqm 160 8 studies study NNS cord-132120-u5s5heqm 160 9 that that WDT cord-132120-u5s5heqm 160 10 estimate estimate VBP cord-132120-u5s5heqm 160 11 the the DT cord-132120-u5s5heqm 160 12 COVID-19 covid-19 JJ cord-132120-u5s5heqm 160 13 false false JJ cord-132120-u5s5heqm 160 14 positive positive JJ cord-132120-u5s5heqm 160 15 rate rate NN cord-132120-u5s5heqm 160 16 of of IN cord-132120-u5s5heqm 160 17 0.5 0.5 CD cord-132120-u5s5heqm 160 18 % % NN cord-132120-u5s5heqm 160 19 and and CC cord-132120-u5s5heqm 160 20 false false JJ cord-132120-u5s5heqm 160 21 negative negative JJ cord-132120-u5s5heqm 160 22 rate rate NN cord-132120-u5s5heqm 160 23 17.2 17.2 CD cord-132120-u5s5heqm 160 24 % % NN cord-132120-u5s5heqm 160 25 . . . cord-132120-u5s5heqm 161 1 Supposing suppose VBG cord-132120-u5s5heqm 161 2 COVID-19 covid-19 DT cord-132120-u5s5heqm 161 3 positive positive JJ cord-132120-u5s5heqm 161 4 individuals individual NNS cord-132120-u5s5heqm 161 5 are be VBP cord-132120-u5s5heqm 161 6 2 2 CD cord-132120-u5s5heqm 161 7 times time NNS cord-132120-u5s5heqm 161 8 more more RBR cord-132120-u5s5heqm 161 9 likely likely JJ cord-132120-u5s5heqm 161 10 to to TO cord-132120-u5s5heqm 161 11 get get VB cord-132120-u5s5heqm 161 12 tested test VBN cord-132120-u5s5heqm 161 13 than than IN cord-132120-u5s5heqm 161 14 those those DT cord-132120-u5s5heqm 161 15 individuals individual NNS cord-132120-u5s5heqm 161 16 who who WP cord-132120-u5s5heqm 161 17 are be VBP cord-132120-u5s5heqm 161 18 COVID-19 COVID-19 NNP cord-132120-u5s5heqm 161 19 negative negative JJ cord-132120-u5s5heqm 161 20 , , , cord-132120-u5s5heqm 161 21 the the DT cord-132120-u5s5heqm 161 22 effective effective JJ cord-132120-u5s5heqm 161 23 sample sample NN cord-132120-u5s5heqm 161 24 size size NN cord-132120-u5s5heqm 161 25 drops drop VBZ cord-132120-u5s5heqm 161 26 from from IN cord-132120-u5s5heqm 161 27 14 14 CD cord-132120-u5s5heqm 161 28 to to TO cord-132120-u5s5heqm 161 29 10 10 CD cord-132120-u5s5heqm 161 30 . . . cord-132120-u5s5heqm 162 1 If if IN cord-132120-u5s5heqm 162 2 the the DT cord-132120-u5s5heqm 162 3 relative relative JJ cord-132120-u5s5heqm 162 4 sampling sampling NN cord-132120-u5s5heqm 162 5 fraction fraction NN cord-132120-u5s5heqm 162 6 drops drop VBZ cord-132120-u5s5heqm 162 7 to to IN cord-132120-u5s5heqm 162 8 1.2 1.2 CD cord-132120-u5s5heqm 162 9 then then RB cord-132120-u5s5heqm 162 10 the the DT cord-132120-u5s5heqm 162 11 effective effective JJ cord-132120-u5s5heqm 162 12 sample sample NN cord-132120-u5s5heqm 162 13 size size NN cord-132120-u5s5heqm 162 14 drops drop VBZ cord-132120-u5s5heqm 162 15 from from IN cord-132120-u5s5heqm 162 16 299 299 CD cord-132120-u5s5heqm 162 17 to to IN cord-132120-u5s5heqm 162 18 216 216 CD cord-132120-u5s5heqm 162 19 . . . cord-132120-u5s5heqm 163 1 Figure figure NN cord-132120-u5s5heqm 163 2 2 2 CD cord-132120-u5s5heqm 163 3 . . . cord-132120-u5s5heqm 164 1 Measurement measurement NN cord-132120-u5s5heqm 164 2 error error NN cord-132120-u5s5heqm 164 3 data data VBZ cord-132120-u5s5heqm 164 4 quality quality NN cord-132120-u5s5heqm 164 5 adjustment adjustment NN cord-132120-u5s5heqm 164 6 : : : cord-132120-u5s5heqm 164 7 relative relative JJ cord-132120-u5s5heqm 164 8 frequency frequency NN cord-132120-u5s5heqm 164 9 f f NN cord-132120-u5s5heqm 164 10 1 1 CD cord-132120-u5s5heqm 164 11 /f /f NN cord-132120-u5s5heqm 164 12 0 0 CD cord-132120-u5s5heqm 165 1 ( ( -LRB- cord-132120-u5s5heqm 165 2 x x NN cord-132120-u5s5heqm 165 3 - - HYPH cord-132120-u5s5heqm 165 4 axis axis NN cord-132120-u5s5heqm 165 5 ) ) -RRB- cord-132120-u5s5heqm 165 6 against against IN cord-132120-u5s5heqm 165 7 odds odd NNS cord-132120-u5s5heqm 165 8 ratio ratio NN cord-132120-u5s5heqm 165 9 ( ( -LRB- cord-132120-u5s5heqm 165 10 y y NN cord-132120-u5s5heqm 165 11 - - HYPH cord-132120-u5s5heqm 165 12 axis axis NN cord-132120-u5s5heqm 165 13 ) ) -RRB- cord-132120-u5s5heqm 165 14 for for IN cord-132120-u5s5heqm 165 15 F F NNP cord-132120-u5s5heqm 165 16 P p NN cord-132120-u5s5heqm 165 17 = = SYM cord-132120-u5s5heqm 165 18 0.005 0.005 CD cord-132120-u5s5heqm 165 19 and and CC cord-132120-u5s5heqm 165 20 F F NNP cord-132120-u5s5heqm 165 21 N N NNP cord-132120-u5s5heqm 165 22 = = SYM cord-132120-u5s5heqm 165 23 0.172 0.172 CD cord-132120-u5s5heqm 165 24 . . . cord-132120-u5s5heqm 166 1 Color color NN cord-132120-u5s5heqm 166 2 scaled scale VBN cord-132120-u5s5heqm 167 1 so so RB cord-132120-u5s5heqm 167 2 blue blue JJ cord-132120-u5s5heqm 168 1 = = NFP cord-132120-u5s5heqm 168 2 −10 −10 NNP cord-132120-u5s5heqm 168 3 , , , cord-132120-u5s5heqm 168 4 white white JJ cord-132120-u5s5heqm 168 5 = = SYM cord-132120-u5s5heqm 168 6 0 0 CD cord-132120-u5s5heqm 168 7 , , , cord-132120-u5s5heqm 168 8 and and CC cord-132120-u5s5heqm 168 9 red red NN cord-132120-u5s5heqm 168 10 = = SYM cord-132120-u5s5heqm 168 11 10 10 CD cord-132120-u5s5heqm 168 12 . . . cord-132120-u5s5heqm 169 1 The the DT cord-132120-u5s5heqm 169 2 above above JJ cord-132120-u5s5heqm 169 3 argument argument NN cord-132120-u5s5heqm 169 4 shows show VBZ cord-132120-u5s5heqm 169 5 that that IN cord-132120-u5s5heqm 169 6 the the DT cord-132120-u5s5heqm 169 7 effective effective JJ cord-132120-u5s5heqm 169 8 sample sample NN cord-132120-u5s5heqm 169 9 size size NN cord-132120-u5s5heqm 169 10 is be VBZ cord-132120-u5s5heqm 169 11 affected affect VBN cord-132120-u5s5heqm 169 12 in in IN cord-132120-u5s5heqm 169 13 a a DT cord-132120-u5s5heqm 169 14 complex complex JJ cord-132120-u5s5heqm 169 15 manner manner NN cord-132120-u5s5heqm 169 16 by by IN cord-132120-u5s5heqm 169 17 the the DT cord-132120-u5s5heqm 169 18 interaction interaction NN cord-132120-u5s5heqm 169 19 between between IN cord-132120-u5s5heqm 169 20 selection selection NN cord-132120-u5s5heqm 169 21 bias bias NN cord-132120-u5s5heqm 169 22 and and CC cord-132120-u5s5heqm 169 23 measurement measurement NN cord-132120-u5s5heqm 169 24 error error NN cord-132120-u5s5heqm 169 25 . . . cord-132120-u5s5heqm 170 1 Here here RB cord-132120-u5s5heqm 170 2 , , , cord-132120-u5s5heqm 170 3 we -PRON- PRP cord-132120-u5s5heqm 170 4 discuss discuss VBP cord-132120-u5s5heqm 170 5 the the DT cord-132120-u5s5heqm 170 6 impact impact NN cord-132120-u5s5heqm 170 7 of of IN cord-132120-u5s5heqm 170 8 the the DT cord-132120-u5s5heqm 170 9 interaction interaction NN cord-132120-u5s5heqm 170 10 on on IN cord-132120-u5s5heqm 170 11 the the DT cord-132120-u5s5heqm 170 12 effective effective JJ cord-132120-u5s5heqm 170 13 sample sample NN cord-132120-u5s5heqm 170 14 size size NN cord-132120-u5s5heqm 170 15 when when WRB cord-132120-u5s5heqm 170 16 testing testing NN cord-132120-u5s5heqm 170 17 capacity capacity NN cord-132120-u5s5heqm 170 18 is be VBZ cord-132120-u5s5heqm 170 19 tied tie VBN cord-132120-u5s5heqm 170 20 to to IN cord-132120-u5s5heqm 170 21 measurement measurement NN cord-132120-u5s5heqm 170 22 error error NN cord-132120-u5s5heqm 170 23 . . . cord-132120-u5s5heqm 171 1 In in IN cord-132120-u5s5heqm 171 2 the the DT cord-132120-u5s5heqm 171 3 current current JJ cord-132120-u5s5heqm 171 4 COVID-19 COVID-19 NNP cord-132120-u5s5heqm 171 5 pandemic pandemic NN cord-132120-u5s5heqm 171 6 , , , cord-132120-u5s5heqm 171 7 there there EX cord-132120-u5s5heqm 171 8 have have VBP cord-132120-u5s5heqm 171 9 been be VBN cord-132120-u5s5heqm 171 10 well well RB cord-132120-u5s5heqm 171 11 - - HYPH cord-132120-u5s5heqm 171 12 justified justify VBN cord-132120-u5s5heqm 171 13 calls call NNS cord-132120-u5s5heqm 171 14 for for IN cord-132120-u5s5heqm 171 15 increases increase NNS cord-132120-u5s5heqm 171 16 in in IN cord-132120-u5s5heqm 171 17 testing testing NN cord-132120-u5s5heqm 171 18 capacity capacity NN cord-132120-u5s5heqm 171 19 . . . cord-132120-u5s5heqm 172 1 These these DT cord-132120-u5s5heqm 172 2 increases increase NNS cord-132120-u5s5heqm 172 3 , , , cord-132120-u5s5heqm 172 4 however however RB cord-132120-u5s5heqm 172 5 , , , cord-132120-u5s5heqm 172 6 may may MD cord-132120-u5s5heqm 172 7 come come VB cord-132120-u5s5heqm 172 8 at at IN cord-132120-u5s5heqm 172 9 the the DT cord-132120-u5s5heqm 172 10 cost cost NN cord-132120-u5s5heqm 172 11 of of IN cord-132120-u5s5heqm 172 12 increases increase NNS cord-132120-u5s5heqm 172 13 in in IN cord-132120-u5s5heqm 172 14 false false JJ cord-132120-u5s5heqm 172 15 - - HYPH cord-132120-u5s5heqm 172 16 positive positive JJ cord-132120-u5s5heqm 172 17 and and CC cord-132120-u5s5heqm 172 18 false false JJ cord-132120-u5s5heqm 172 19 - - HYPH cord-132120-u5s5heqm 172 20 negative negative JJ cord-132120-u5s5heqm 172 21 rates rate NNS cord-132120-u5s5heqm 172 22 . . . cord-132120-u5s5heqm 173 1 In in IN cord-132120-u5s5heqm 173 2 terms term NNS cord-132120-u5s5heqm 173 3 of of IN cord-132120-u5s5heqm 173 4 effective effective JJ cord-132120-u5s5heqm 173 5 sample sample NN cord-132120-u5s5heqm 173 6 size size NN cord-132120-u5s5heqm 173 7 , , , cord-132120-u5s5heqm 173 8 if if IN cord-132120-u5s5heqm 173 9 the the DT cord-132120-u5s5heqm 173 10 data data NN cord-132120-u5s5heqm 173 11 quality quality NN cord-132120-u5s5heqm 173 12 term term NN cord-132120-u5s5heqm 173 13 remains remain VBZ cord-132120-u5s5heqm 173 14 constant constant JJ cord-132120-u5s5heqm 173 15 , , , cord-132120-u5s5heqm 173 16 then then RB cord-132120-u5s5heqm 173 17 testing test VBG cord-132120-u5s5heqm 173 18 increases increase NNS cord-132120-u5s5heqm 173 19 may may MD cord-132120-u5s5heqm 173 20 not not RB cord-132120-u5s5heqm 173 21 significantly significantly RB cord-132120-u5s5heqm 173 22 improve improve VB cord-132120-u5s5heqm 173 23 the the DT cord-132120-u5s5heqm 173 24 effective effective JJ cord-132120-u5s5heqm 173 25 sample sample NN cord-132120-u5s5heqm 173 26 size size NN cord-132120-u5s5heqm 173 27 . . . cord-132120-u5s5heqm 174 1 Consider consider VB cord-132120-u5s5heqm 174 2 the the DT cord-132120-u5s5heqm 174 3 simplest simple JJS cord-132120-u5s5heqm 174 4 case case NN cord-132120-u5s5heqm 174 5 where where WRB cord-132120-u5s5heqm 174 6 f f NNP cord-132120-u5s5heqm 174 7 increases increase VBZ cord-132120-u5s5heqm 174 8 from from IN cord-132120-u5s5heqm 174 9 0.05 0.05 CD cord-132120-u5s5heqm 174 10 to to IN cord-132120-u5s5heqm 174 11 0.1 0.1 CD cord-132120-u5s5heqm 174 12 ; ; : cord-132120-u5s5heqm 174 13 suppose suppose VB cord-132120-u5s5heqm 174 14 this this DT cord-132120-u5s5heqm 174 15 increase increase NN cord-132120-u5s5heqm 174 16 was be VBD cord-132120-u5s5heqm 174 17 associated associate VBN cord-132120-u5s5heqm 174 18 with with IN cord-132120-u5s5heqm 174 19 false false JJ cord-132120-u5s5heqm 174 20 positive positive JJ cord-132120-u5s5heqm 174 21 rate rate NN cord-132120-u5s5heqm 174 22 increasing increase VBG cord-132120-u5s5heqm 174 23 from from IN cord-132120-u5s5heqm 174 24 0.5 0.5 CD cord-132120-u5s5heqm 174 25 % % NN cord-132120-u5s5heqm 174 26 to to TO cord-132120-u5s5heqm 174 27 5 5 CD cord-132120-u5s5heqm 174 28 % % NN cord-132120-u5s5heqm 174 29 and and CC cord-132120-u5s5heqm 174 30 the the DT cord-132120-u5s5heqm 174 31 false false JJ cord-132120-u5s5heqm 174 32 negative negative JJ cord-132120-u5s5heqm 174 33 rate rate NN cord-132120-u5s5heqm 174 34 rising rise VBG cord-132120-u5s5heqm 174 35 from from IN cord-132120-u5s5heqm 174 36 5 5 CD cord-132120-u5s5heqm 174 37 % % NN cord-132120-u5s5heqm 174 38 to to TO cord-132120-u5s5heqm 174 39 20 20 CD cord-132120-u5s5heqm 174 40 % % NN cord-132120-u5s5heqm 174 41 . . . cord-132120-u5s5heqm 175 1 Then then RB cord-132120-u5s5heqm 175 2 the the DT cord-132120-u5s5heqm 175 3 standard standard JJ cord-132120-u5s5heqm 175 4 analysis analysis NN cord-132120-u5s5heqm 175 5 would would MD cord-132120-u5s5heqm 175 6 suggest suggest VB cord-132120-u5s5heqm 175 7 a a DT cord-132120-u5s5heqm 175 8 reduction reduction NN cord-132120-u5s5heqm 175 9 in in IN cord-132120-u5s5heqm 175 10 the the DT cord-132120-u5s5heqm 175 11 MSE MSE NNP cord-132120-u5s5heqm 175 12 by by IN cord-132120-u5s5heqm 175 13 47 47 CD cord-132120-u5s5heqm 175 14 % % NN cord-132120-u5s5heqm 175 15 but but CC cord-132120-u5s5heqm 175 16 the the DT cord-132120-u5s5heqm 175 17 actual actual JJ cord-132120-u5s5heqm 175 18 decrease decrease NN cord-132120-u5s5heqm 175 19 is be VBZ cord-132120-u5s5heqm 175 20 by by IN cord-132120-u5s5heqm 175 21 26 26 CD cord-132120-u5s5heqm 175 22 % % NN cord-132120-u5s5heqm 175 23 . . . cord-132120-u5s5heqm 176 1 This this DT cord-132120-u5s5heqm 176 2 implies imply VBZ cord-132120-u5s5heqm 176 3 that that IN cord-132120-u5s5heqm 176 4 doubling double VBG cord-132120-u5s5heqm 176 5 the the DT cord-132120-u5s5heqm 176 6 sampling sampling NN cord-132120-u5s5heqm 176 7 rate rate NN cord-132120-u5s5heqm 176 8 will will MD cord-132120-u5s5heqm 176 9 only only RB cord-132120-u5s5heqm 176 10 increase increase VB cord-132120-u5s5heqm 176 11 the the DT cord-132120-u5s5heqm 176 12 effective effective JJ cord-132120-u5s5heqm 176 13 sample sample NN cord-132120-u5s5heqm 176 14 size size NN cord-132120-u5s5heqm 176 15 by by IN cord-132120-u5s5heqm 176 16 a a DT cord-132120-u5s5heqm 176 17 factor factor NN cord-132120-u5s5heqm 176 18 2.9 2.9 CD cord-132120-u5s5heqm 176 19 rather rather RB cord-132120-u5s5heqm 176 20 than than IN cord-132120-u5s5heqm 176 21 the the DT cord-132120-u5s5heqm 176 22 expected expected JJ cord-132120-u5s5heqm 176 23 4 4 CD cord-132120-u5s5heqm 176 24 fold fold NN cord-132120-u5s5heqm 176 25 increase increase NN cord-132120-u5s5heqm 176 26 that that WDT cord-132120-u5s5heqm 176 27 is be VBZ cord-132120-u5s5heqm 176 28 expected expect VBN cord-132120-u5s5heqm 176 29 . . . cord-132120-u5s5heqm 177 1 In in IN cord-132120-u5s5heqm 177 2 a a DT cord-132120-u5s5heqm 177 3 worst bad JJS cord-132120-u5s5heqm 177 4 case case NN cord-132120-u5s5heqm 177 5 scenario scenario NN cord-132120-u5s5heqm 177 6 , , , cord-132120-u5s5heqm 177 7 if if IN cord-132120-u5s5heqm 177 8 the the DT cord-132120-u5s5heqm 177 9 false false JJ cord-132120-u5s5heqm 177 10 negative negative JJ cord-132120-u5s5heqm 177 11 rate rate NN cord-132120-u5s5heqm 177 12 climbs climb VBZ cord-132120-u5s5heqm 177 13 to to IN cord-132120-u5s5heqm 177 14 0.30 0.30 CD cord-132120-u5s5heqm 177 15 and and CC cord-132120-u5s5heqm 177 16 the the DT cord-132120-u5s5heqm 177 17 false false JJ cord-132120-u5s5heqm 177 18 positive positive JJ cord-132120-u5s5heqm 177 19 rate rate NN cord-132120-u5s5heqm 177 20 to to IN cord-132120-u5s5heqm 177 21 0.10 0.10 CD cord-132120-u5s5heqm 177 22 then then RB cord-132120-u5s5heqm 177 23 the the DT cord-132120-u5s5heqm 177 24 factor factor NN cord-132120-u5s5heqm 177 25 effective effective JJ cord-132120-u5s5heqm 177 26 sample sample NN cord-132120-u5s5heqm 177 27 size size NN cord-132120-u5s5heqm 177 28 increases increase NNS cord-132120-u5s5heqm 177 29 by by IN cord-132120-u5s5heqm 177 30 only only RB cord-132120-u5s5heqm 177 31 a a DT cord-132120-u5s5heqm 177 32 factor factor NN cord-132120-u5s5heqm 177 33 of of IN cord-132120-u5s5heqm 177 34 2.3 2.3 CD cord-132120-u5s5heqm 177 35 . . . cord-132120-u5s5heqm 178 1 Regrettable regrettable JJ cord-132120-u5s5heqm 178 2 rates rate NNS cord-132120-u5s5heqm 178 3 : : : cord-132120-u5s5heqm 178 4 complex complex JJ cord-132120-u5s5heqm 178 5 biases bias NNS cord-132120-u5s5heqm 178 6 resulting result VBG cord-132120-u5s5heqm 178 7 from from IN cord-132120-u5s5heqm 178 8 self self NN cord-132120-u5s5heqm 178 9 - - HYPH cord-132120-u5s5heqm 178 10 selection selection NN cord-132120-u5s5heqm 178 11 . . . cord-132120-u5s5heqm 179 1 The the DT cord-132120-u5s5heqm 179 2 data datum NNS cord-132120-u5s5heqm 179 3 analyst analyst NN cord-132120-u5s5heqm 179 4 , , , cord-132120-u5s5heqm 179 5 now now RB cord-132120-u5s5heqm 179 6 wary wary JJ cord-132120-u5s5heqm 179 7 of of IN cord-132120-u5s5heqm 179 8 estimating estimate VBG cord-132120-u5s5heqm 179 9 prevalence prevalence NN cord-132120-u5s5heqm 179 10 and and CC cord-132120-u5s5heqm 179 11 total total JJ cord-132120-u5s5heqm 179 12 counts count NNS cord-132120-u5s5heqm 179 13 , , , cord-132120-u5s5heqm 179 14 pauses pause VBZ cord-132120-u5s5heqm 179 15 and and CC cord-132120-u5s5heqm 179 16 thinks think VBZ cord-132120-u5s5heqm 179 17 . . . cord-132120-u5s5heqm 180 1 They -PRON- PRP cord-132120-u5s5heqm 180 2 return return VBP cord-132120-u5s5heqm 180 3 shortly shortly RB cord-132120-u5s5heqm 180 4 thereafter thereafter RB cord-132120-u5s5heqm 180 5 , , , cord-132120-u5s5heqm 180 6 with with IN cord-132120-u5s5heqm 180 7 a a DT cord-132120-u5s5heqm 180 8 follow follow VB cord-132120-u5s5heqm 180 9 - - HYPH cord-132120-u5s5heqm 180 10 up up RP cord-132120-u5s5heqm 180 11 consideration consideration NN cord-132120-u5s5heqm 180 12 : : : cord-132120-u5s5heqm 180 13 Ok ok UH cord-132120-u5s5heqm 180 14 , , , cord-132120-u5s5heqm 180 15 perhaps perhaps RB cord-132120-u5s5heqm 180 16 estimating estimate VBG cord-132120-u5s5heqm 180 17 prevalence prevalence NN cord-132120-u5s5heqm 180 18 is be VBZ cord-132120-u5s5heqm 180 19 difficult difficult JJ cord-132120-u5s5heqm 180 20 . . . cord-132120-u5s5heqm 181 1 Certainly certainly RB cord-132120-u5s5heqm 181 2 , , , cord-132120-u5s5heqm 181 3 however however RB cord-132120-u5s5heqm 181 4 , , , cord-132120-u5s5heqm 181 5 we -PRON- PRP cord-132120-u5s5heqm 181 6 can can MD cord-132120-u5s5heqm 181 7 estimate estimate VB cord-132120-u5s5heqm 181 8 the the DT cord-132120-u5s5heqm 181 9 rate rate NN cord-132120-u5s5heqm 181 10 of of IN cord-132120-u5s5heqm 181 11 growth growth NN cord-132120-u5s5heqm 181 12 . . . cord-132120-u5s5heqm 182 1 All all DT cord-132120-u5s5heqm 182 2 I -PRON- PRP cord-132120-u5s5heqm 182 3 want want VBP cord-132120-u5s5heqm 182 4 to to TO cord-132120-u5s5heqm 182 5 know know VB cord-132120-u5s5heqm 182 6 is be VBZ cord-132120-u5s5heqm 182 7 when when WRB cord-132120-u5s5heqm 182 8 we -PRON- PRP cord-132120-u5s5heqm 182 9 hit hit VBD cord-132120-u5s5heqm 182 10 the the DT cord-132120-u5s5heqm 182 11 point point NN cord-132120-u5s5heqm 182 12 at at IN cord-132120-u5s5heqm 182 13 which which WDT cord-132120-u5s5heqm 182 14 the the DT cord-132120-u5s5heqm 182 15 curve curve NN cord-132120-u5s5heqm 182 16 flattens flatten VBZ cord-132120-u5s5heqm 182 17 and and CC cord-132120-u5s5heqm 182 18 number number NN cord-132120-u5s5heqm 182 19 of of IN cord-132120-u5s5heqm 182 20 deaths death NNS cord-132120-u5s5heqm 182 21 decrease decrease VBP cord-132120-u5s5heqm 182 22 . . . cord-132120-u5s5heqm 183 1 That that DT cord-132120-u5s5heqm 183 2 ca can MD cord-132120-u5s5heqm 183 3 n't not RB cord-132120-u5s5heqm 183 4 be be VB cord-132120-u5s5heqm 183 5 too too RB cord-132120-u5s5heqm 183 6 hard hard JJ cord-132120-u5s5heqm 183 7 , , , cord-132120-u5s5heqm 183 8 surely surely RB cord-132120-u5s5heqm 183 9 ! ! . cord-132120-u5s5heqm 184 1 Unfortunately unfortunately RB cord-132120-u5s5heqm 184 2 , , , cord-132120-u5s5heqm 184 3 ratio ratio NN cord-132120-u5s5heqm 184 4 estimators estimator NNS cord-132120-u5s5heqm 184 5 do do VBP cord-132120-u5s5heqm 184 6 not not RB cord-132120-u5s5heqm 184 7 cancel cancel VB cord-132120-u5s5heqm 184 8 errors error NNS cord-132120-u5s5heqm 184 9 as as IN cord-132120-u5s5heqm 184 10 now now RB cord-132120-u5s5heqm 184 11 both both CC cord-132120-u5s5heqm 184 12 the the DT cord-132120-u5s5heqm 184 13 numerator numerator NN cord-132120-u5s5heqm 184 14 and and CC cord-132120-u5s5heqm 184 15 the the DT cord-132120-u5s5heqm 184 16 denominator denominator NN cord-132120-u5s5heqm 184 17 are be VBP cord-132120-u5s5heqm 184 18 uncertain uncertain JJ cord-132120-u5s5heqm 184 19 . . . cord-132120-u5s5heqm 185 1 This this DT cord-132120-u5s5heqm 185 2 means mean VBZ cord-132120-u5s5heqm 185 3 selection selection NN cord-132120-u5s5heqm 185 4 bias bias NN cord-132120-u5s5heqm 185 5 and and CC cord-132120-u5s5heqm 185 6 measurement measurement NN cord-132120-u5s5heqm 185 7 error error NN cord-132120-u5s5heqm 185 8 can can MD cord-132120-u5s5heqm 185 9 have have VB cord-132120-u5s5heqm 185 10 paradoxical paradoxical JJ cord-132120-u5s5heqm 185 11 effects effect NNS cord-132120-u5s5heqm 185 12 . . . cord-132120-u5s5heqm 186 1 Here here RB cord-132120-u5s5heqm 186 2 we -PRON- PRP cord-132120-u5s5heqm 186 3 consider consider VBP cord-132120-u5s5heqm 186 4 the the DT cord-132120-u5s5heqm 186 5 ratio ratio NN cord-132120-u5s5heqm 186 6 estimators estimator NNS cord-132120-u5s5heqm 186 7 for for IN cord-132120-u5s5heqm 186 8 the the DT cord-132120-u5s5heqm 186 9 relative relative JJ cord-132120-u5s5heqm 186 10 change change NN cord-132120-u5s5heqm 186 11 in in IN cord-132120-u5s5heqm 186 12 the the DT cord-132120-u5s5heqm 186 13 prevalence prevalence NN cord-132120-u5s5heqm 186 14 rate rate NN cord-132120-u5s5heqm 186 15 . . . cord-132120-u5s5heqm 187 1 We -PRON- PRP cord-132120-u5s5heqm 187 2 letȲ letȳ VBP cord-132120-u5s5heqm 188 1 t−1 t−1 NNS cord-132120-u5s5heqm 188 2 andȲ andȳ DT cord-132120-u5s5heqm 189 1 t t NNP cord-132120-u5s5heqm 189 2 denotes denote VBZ cord-132120-u5s5heqm 189 3 the the DT cord-132120-u5s5heqm 189 4 prevalence prevalence NN cord-132120-u5s5heqm 189 5 ( ( -LRB- cord-132120-u5s5heqm 189 6 across across IN cord-132120-u5s5heqm 189 7 the the DT cord-132120-u5s5heqm 189 8 entire entire JJ cord-132120-u5s5heqm 189 9 population population NN cord-132120-u5s5heqm 189 10 ) ) -RRB- cord-132120-u5s5heqm 189 11 at at IN cord-132120-u5s5heqm 189 12 time time NN cord-132120-u5s5heqm 189 13 step step NN cord-132120-u5s5heqm 189 14 t t NNP cord-132120-u5s5heqm 189 15 − − NNP cord-132120-u5s5heqm 189 16 1 1 CD cord-132120-u5s5heqm 189 17 and and CC cord-132120-u5s5heqm 189 18 t t NN cord-132120-u5s5heqm 190 1 respectively respectively RB cord-132120-u5s5heqm 190 2 ( ( -LRB- cord-132120-u5s5heqm 190 3 i.e. i.e. FW cord-132120-u5s5heqm 190 4 , , , cord-132120-u5s5heqm 190 5 prevalence prevalence NN cord-132120-u5s5heqm 190 6 on on IN cord-132120-u5s5heqm 190 7 two two CD cord-132120-u5s5heqm 190 8 consecutive consecutive JJ cord-132120-u5s5heqm 190 9 days day NNS cord-132120-u5s5heqm 190 10 ) ) -RRB- cord-132120-u5s5heqm 190 11 . . . cord-132120-u5s5heqm 191 1 Then then RB cord-132120-u5s5heqm 191 2 the the DT cord-132120-u5s5heqm 191 3 ratio ratio NN cord-132120-u5s5heqm 191 4 estimator estimator NN cord-132120-u5s5heqm 191 5 is be VBZ cord-132120-u5s5heqm 191 6 given give VBN cord-132120-u5s5heqm 191 7 by by IN cord-132120-u5s5heqm 191 8 r r NN cord-132120-u5s5heqm 191 9 = = SYM cord-132120-u5s5heqm 191 10 ȳ ȳ NN cord-132120-u5s5heqm 191 11 t t NNP cord-132120-u5s5heqm 191 12 /ȳ /ȳ NNP cord-132120-u5s5heqm 191 13 t−1 t−1 NN cord-132120-u5s5heqm 191 14 . . . cord-132120-u5s5heqm 192 1 We -PRON- PRP cord-132120-u5s5heqm 192 2 assume assume VBP cord-132120-u5s5heqm 192 3 both both DT cord-132120-u5s5heqm 192 4 numerator numerator NN cord-132120-u5s5heqm 192 5 and and CC cord-132120-u5s5heqm 192 6 denominator denominator NN cord-132120-u5s5heqm 192 7 are be VBP cord-132120-u5s5heqm 192 8 the the DT cord-132120-u5s5heqm 192 9 prevalence prevalence NN cord-132120-u5s5heqm 192 10 estimates estimate NNS cord-132120-u5s5heqm 192 11 adjusted adjust VBN cord-132120-u5s5heqm 192 12 for for IN cord-132120-u5s5heqm 192 13 measurement measurement NN cord-132120-u5s5heqm 192 14 error error NN cord-132120-u5s5heqm 192 15 . . . cord-132120-u5s5heqm 193 1 If if IN cord-132120-u5s5heqm 193 2 the the DT cord-132120-u5s5heqm 193 3 sample sample NN cord-132120-u5s5heqm 193 4 size size NN cord-132120-u5s5heqm 193 5 at at IN cord-132120-u5s5heqm 193 6 each each DT cord-132120-u5s5heqm 193 7 time time NN cord-132120-u5s5heqm 193 8 were be VBD cord-132120-u5s5heqm 193 9 equal equal JJ cord-132120-u5s5heqm 193 10 ( ( -LRB- cord-132120-u5s5heqm 193 11 i.e. i.e. FW cord-132120-u5s5heqm 193 12 , , , cord-132120-u5s5heqm 193 13 n n NN cord-132120-u5s5heqm 193 14 1 1 CD cord-132120-u5s5heqm 193 15 = = SYM cord-132120-u5s5heqm 193 16 n n NN cord-132120-u5s5heqm 193 17 2 2 CD cord-132120-u5s5heqm 193 18 = = SYM cord-132120-u5s5heqm 193 19 n n NN cord-132120-u5s5heqm 193 20 ) ) -RRB- cord-132120-u5s5heqm 193 21 then then RB cord-132120-u5s5heqm 193 22 this this DT cord-132120-u5s5heqm 193 23 analysis analysis NN cord-132120-u5s5heqm 193 24 would would MD cord-132120-u5s5heqm 193 25 be be VB cord-132120-u5s5heqm 193 26 equivalent equivalent JJ cord-132120-u5s5heqm 193 27 to to IN cord-132120-u5s5heqm 193 28 comparing compare VBG cord-132120-u5s5heqm 193 29 the the DT cord-132120-u5s5heqm 193 30 increase increase NN cord-132120-u5s5heqm 193 31 in in IN cord-132120-u5s5heqm 193 32 observed observed JJ cord-132120-u5s5heqm 193 33 casecounts casecount NNS cord-132120-u5s5heqm 193 34 ( ( -LRB- cord-132120-u5s5heqm 193 35 i.e. i.e. FW cord-132120-u5s5heqm 194 1 , , , cord-132120-u5s5heqm 194 2 ȳ ȳ NNP cord-132120-u5s5heqm 195 1 t t NNP cord-132120-u5s5heqm 196 1 /ȳ /ȳ NNP cord-132120-u5s5heqm 197 1 t−1 t−1 DT cord-132120-u5s5heqm 198 1 = = NFP cord-132120-u5s5heqm 198 2 y y NNP cord-132120-u5s5heqm 198 3 t t NN cord-132120-u5s5heqm 199 1 /y /y NNP cord-132120-u5s5heqm 199 2 t−1 t−1 NNP cord-132120-u5s5heqm 199 3 ) ) -RRB- cord-132120-u5s5heqm 199 4 . . . cord-132120-u5s5heqm 200 1 We -PRON- PRP cord-132120-u5s5heqm 200 2 wish wish VBP cord-132120-u5s5heqm 200 3 to to TO cord-132120-u5s5heqm 200 4 express express VB cord-132120-u5s5heqm 200 5 the the DT cord-132120-u5s5heqm 200 6 errorȳ errorȳ NN cord-132120-u5s5heqm 200 7 t t NN cord-132120-u5s5heqm 200 8 yt−1 yt−1 PRP cord-132120-u5s5heqm 201 1 −Ȳ −Ȳ NNP cord-132120-u5s5heqm 201 2 t t NNP cord-132120-u5s5heqm 201 3 Yt−1 Yt−1 NNP cord-132120-u5s5heqm 201 4 in in IN cord-132120-u5s5heqm 201 5 statistical statistical JJ cord-132120-u5s5heqm 201 6 terms term NNS cord-132120-u5s5heqm 201 7 . . . cord-132120-u5s5heqm 202 1 Using use VBG cord-132120-u5s5heqm 202 2 a a DT cord-132120-u5s5heqm 202 3 Taylor Taylor NNP cord-132120-u5s5heqm 202 4 series series NN cord-132120-u5s5heqm 202 5 approximation approximation NN cord-132120-u5s5heqm 202 6 , , , cord-132120-u5s5heqm 202 7 we -PRON- PRP cord-132120-u5s5heqm 202 8 show show VBP cord-132120-u5s5heqm 202 9 in in IN cord-132120-u5s5heqm 202 10 the the DT cord-132120-u5s5heqm 202 11 appendix appendix NN cord-132120-u5s5heqm 202 12 that that IN cord-132120-u5s5heqm 202 13 the the DT cord-132120-u5s5heqm 202 14 error error NN cord-132120-u5s5heqm 202 15 can can MD cord-132120-u5s5heqm 202 16 be be VB cord-132120-u5s5heqm 202 17 expressed express VBN cord-132120-u5s5heqm 202 18 approximately approximately RB cord-132120-u5s5heqm 202 19 as as IN cord-132120-u5s5heqm 202 20 where where WRB cord-132120-u5s5heqm 202 21 ρ ρ NNP cord-132120-u5s5heqm 202 22 Ij Ij NNP cord-132120-u5s5heqm 202 23 , , , cord-132120-u5s5heqm 202 24 Yj Yj NNP cord-132120-u5s5heqm 202 25 is be VBZ cord-132120-u5s5heqm 202 26 the the DT cord-132120-u5s5heqm 202 27 data data NN cord-132120-u5s5heqm 202 28 quality quality NN cord-132120-u5s5heqm 202 29 , , , cord-132120-u5s5heqm 202 30 f f NNP cord-132120-u5s5heqm 202 31 j j NNP cord-132120-u5s5heqm 202 32 is be VBZ cord-132120-u5s5heqm 202 33 the the DT cord-132120-u5s5heqm 202 34 sampling sampling NN cord-132120-u5s5heqm 202 35 fraction fraction NN cord-132120-u5s5heqm 202 36 , , , cord-132120-u5s5heqm 202 37 D D NNP cord-132120-u5s5heqm 202 38 Mj Mj NNP cord-132120-u5s5heqm 202 39 is be VBZ cord-132120-u5s5heqm 202 40 the the DT cord-132120-u5s5heqm 202 41 measurement measurement NN cord-132120-u5s5heqm 202 42 error error NN cord-132120-u5s5heqm 202 43 adjustment adjustment NN cord-132120-u5s5heqm 202 44 , , , cord-132120-u5s5heqm 202 45 and and CC cord-132120-u5s5heqm 202 46 CV CV NNP cord-132120-u5s5heqm 202 47 ( ( -LRB- cord-132120-u5s5heqm 202 48 Y Y NNP cord-132120-u5s5heqm 202 49 j j NNP cord-132120-u5s5heqm 202 50 ) ) -RRB- cord-132120-u5s5heqm 202 51 = = NFP cord-132120-u5s5heqm 203 1 σ σ NNP cord-132120-u5s5heqm 203 2 Yj Yj NNP cord-132120-u5s5heqm 203 3 /Ȳ /Ȳ NNP cord-132120-u5s5heqm 203 4 j j NNP cord-132120-u5s5heqm 203 5 is be VBZ cord-132120-u5s5heqm 203 6 the the DT cord-132120-u5s5heqm 203 7 coefficient coefficient NN cord-132120-u5s5heqm 203 8 of of IN cord-132120-u5s5heqm 203 9 variation variation NN cord-132120-u5s5heqm 203 10 at at IN cord-132120-u5s5heqm 203 11 time time NN cord-132120-u5s5heqm 203 12 step step NN cord-132120-u5s5heqm 204 1 j. j. NNP cord-132120-u5s5heqm 205 1 The the DT cord-132120-u5s5heqm 205 2 magnitude magnitude NN cord-132120-u5s5heqm 205 3 of of IN cord-132120-u5s5heqm 205 4 the the DT cord-132120-u5s5heqm 205 5 error error NN cord-132120-u5s5heqm 205 6 depends depend VBZ cord-132120-u5s5heqm 205 7 on on IN cord-132120-u5s5heqm 205 8 the the DT cord-132120-u5s5heqm 205 9 population population NN cord-132120-u5s5heqm 205 10 - - HYPH cord-132120-u5s5heqm 205 11 level level NN cord-132120-u5s5heqm 205 12 ratioȲ ratioȲ NNP cord-132120-u5s5heqm 205 13 t t NN cord-132120-u5s5heqm 205 14 /Ȳ /ȳ NN cord-132120-u5s5heqm 205 15 t−1 t−1 NNP cord-132120-u5s5heqm 206 1 so so IN cord-132120-u5s5heqm 206 2 a a DT cord-132120-u5s5heqm 206 3 large large JJ cord-132120-u5s5heqm 206 4 decrease decrease NN cord-132120-u5s5heqm 206 5 in in IN cord-132120-u5s5heqm 206 6 the the DT cord-132120-u5s5heqm 206 7 prevalence prevalence NN cord-132120-u5s5heqm 206 8 rate rate NN cord-132120-u5s5heqm 206 9 will will MD cord-132120-u5s5heqm 206 10 have have VB cord-132120-u5s5heqm 206 11 a a DT cord-132120-u5s5heqm 206 12 relatively relatively RB cord-132120-u5s5heqm 206 13 small small JJ cord-132120-u5s5heqm 206 14 error error NN cord-132120-u5s5heqm 206 15 as as IN cord-132120-u5s5heqm 206 16 compared compare VBN cord-132120-u5s5heqm 206 17 to to IN cord-132120-u5s5heqm 206 18 a a DT cord-132120-u5s5heqm 206 19 large large JJ cord-132120-u5s5heqm 206 20 increase increase NN cord-132120-u5s5heqm 206 21 in in IN cord-132120-u5s5heqm 206 22 the the DT cord-132120-u5s5heqm 206 23 prevalence prevalence NN cord-132120-u5s5heqm 206 24 rate rate NN cord-132120-u5s5heqm 206 25 . . . cord-132120-u5s5heqm 207 1 The the DT cord-132120-u5s5heqm 207 2 second second JJ cord-132120-u5s5heqm 207 3 term term NN cord-132120-u5s5heqm 207 4 represents represent VBZ cord-132120-u5s5heqm 207 5 the the DT cord-132120-u5s5heqm 207 6 " " `` cord-132120-u5s5heqm 207 7 cancellation cancellation NN cord-132120-u5s5heqm 207 8 " " '' cord-132120-u5s5heqm 207 9 that that IN cord-132120-u5s5heqm 207 10 the the DT cord-132120-u5s5heqm 207 11 naive naive JJ cord-132120-u5s5heqm 207 12 analyst analyst NN cord-132120-u5s5heqm 207 13 is be VBZ cord-132120-u5s5heqm 207 14 hoping hope VBG cord-132120-u5s5heqm 207 15 will will MD cord-132120-u5s5heqm 207 16 occur occur VB cord-132120-u5s5heqm 207 17 . . . cord-132120-u5s5heqm 208 1 The the DT cord-132120-u5s5heqm 208 2 analyst analyst NN cord-132120-u5s5heqm 208 3 's 's POS cord-132120-u5s5heqm 208 4 intuition intuition NN cord-132120-u5s5heqm 208 5 only only RB cord-132120-u5s5heqm 208 6 holds hold VBZ cord-132120-u5s5heqm 208 7 when when WRB cord-132120-u5s5heqm 208 8 the the DT cord-132120-u5s5heqm 208 9 difference difference NN cord-132120-u5s5heqm 208 10 is be VBZ cord-132120-u5s5heqm 208 11 equal equal JJ cord-132120-u5s5heqm 208 12 to to IN cord-132120-u5s5heqm 208 13 zero zero CD cord-132120-u5s5heqm 208 14 . . . cord-132120-u5s5heqm 209 1 This this DT cord-132120-u5s5heqm 209 2 occurs occur VBZ cord-132120-u5s5heqm 209 3 at at IN cord-132120-u5s5heqm 209 4 times time NNS cord-132120-u5s5heqm 209 5 when when WRB cord-132120-u5s5heqm 209 6 data datum NNS cord-132120-u5s5heqm 209 7 quality quality NN cord-132120-u5s5heqm 209 8 , , , cord-132120-u5s5heqm 209 9 sampling sampling NN cord-132120-u5s5heqm 209 10 fraction fraction NN cord-132120-u5s5heqm 209 11 , , , cord-132120-u5s5heqm 209 12 measurement measurement NN cord-132120-u5s5heqm 209 13 error error NN cord-132120-u5s5heqm 209 14 , , , cord-132120-u5s5heqm 209 15 and and CC cord-132120-u5s5heqm 209 16 prevalence prevalence NN cord-132120-u5s5heqm 209 17 are be VBP cord-132120-u5s5heqm 209 18 all all DT cord-132120-u5s5heqm 209 19 constant constant JJ cord-132120-u5s5heqm 209 20 across across IN cord-132120-u5s5heqm 209 21 time time NN cord-132120-u5s5heqm 209 22 . . . cord-132120-u5s5heqm 210 1 Consider consider VB cord-132120-u5s5heqm 210 2 the the DT cord-132120-u5s5heqm 210 3 state state NN cord-132120-u5s5heqm 210 4 of of IN cord-132120-u5s5heqm 210 5 New New NNP cord-132120-u5s5heqm 210 6 York York NNP cord-132120-u5s5heqm 210 7 . . . cord-132120-u5s5heqm 211 1 Figure figure NN cord-132120-u5s5heqm 211 2 5a 5a CD cord-132120-u5s5heqm 211 3 shows show VBZ cord-132120-u5s5heqm 211 4 the the DT cord-132120-u5s5heqm 211 5 number number NN cord-132120-u5s5heqm 211 6 of of IN cord-132120-u5s5heqm 211 7 tests test NNS cord-132120-u5s5heqm 211 8 and and CC cord-132120-u5s5heqm 211 9 positive positive JJ cord-132120-u5s5heqm 211 10 tests test NNS cord-132120-u5s5heqm 211 11 per per IN cord-132120-u5s5heqm 211 12 day day NN cord-132120-u5s5heqm 211 13 in in IN cord-132120-u5s5heqm 211 14 New New NNP cord-132120-u5s5heqm 211 15 York York NNP cord-132120-u5s5heqm 211 16 state state NN cord-132120-u5s5heqm 211 17 . . . cord-132120-u5s5heqm 212 1 Figure figure NN cord-132120-u5s5heqm 212 2 5b 5b CD cord-132120-u5s5heqm 212 3 presents present VBZ cord-132120-u5s5heqm 212 4 the the DT cord-132120-u5s5heqm 212 5 fraction fraction NN cord-132120-u5s5heqm 212 6 of of IN cord-132120-u5s5heqm 212 7 tests test NNS cord-132120-u5s5heqm 212 8 that that WDT cord-132120-u5s5heqm 212 9 were be VBD cord-132120-u5s5heqm 212 10 positive positive JJ cord-132120-u5s5heqm 212 11 per per IN cord-132120-u5s5heqm 212 12 day day NN cord-132120-u5s5heqm 212 13 in in IN cord-132120-u5s5heqm 212 14 New New NNP cord-132120-u5s5heqm 212 15 York York NNP cord-132120-u5s5heqm 212 16 state state NN cord-132120-u5s5heqm 212 17 . . . cord-132120-u5s5heqm 213 1 For for IN cord-132120-u5s5heqm 213 2 cancellation cancellation NN cord-132120-u5s5heqm 213 3 , , , cord-132120-u5s5heqm 213 4 we -PRON- PRP cord-132120-u5s5heqm 213 5 would would MD cord-132120-u5s5heqm 213 6 need need VB cord-132120-u5s5heqm 213 7 the the DT cord-132120-u5s5heqm 213 8 expected expect VBN cord-132120-u5s5heqm 213 9 data data NN cord-132120-u5s5heqm 213 10 qualities quality NNS cord-132120-u5s5heqm 213 11 to to TO cord-132120-u5s5heqm 213 12 be be VB cord-132120-u5s5heqm 213 13 uncorrelated uncorrelated JJ cord-132120-u5s5heqm 213 14 and and CC cord-132120-u5s5heqm 213 15 equal equal JJ cord-132120-u5s5heqm 213 16 . . . cord-132120-u5s5heqm 214 1 Testing testing NN cord-132120-u5s5heqm 214 2 appears appear VBZ cord-132120-u5s5heqm 214 3 relatively relatively RB cord-132120-u5s5heqm 214 4 stable stable JJ cord-132120-u5s5heqm 214 5 over over IN cord-132120-u5s5heqm 214 6 a a DT cord-132120-u5s5heqm 214 7 week week NN cord-132120-u5s5heqm 214 8 which which WDT cord-132120-u5s5heqm 214 9 suggests suggest VBZ cord-132120-u5s5heqm 214 10 assuming assume VBG cord-132120-u5s5heqm 214 11 ∆ ∆ NNP cord-132120-u5s5heqm 214 12 t t NNP cord-132120-u5s5heqm 214 13 ( ( -LRB- cord-132120-u5s5heqm 214 14 i.e. i.e. FW cord-132120-u5s5heqm 214 15 , , , cord-132120-u5s5heqm 214 16 differential differential JJ cord-132120-u5s5heqm 214 17 in in IN cord-132120-u5s5heqm 214 18 the the DT cord-132120-u5s5heqm 214 19 selection selection NN cord-132120-u5s5heqm 214 20 rate rate NN cord-132120-u5s5heqm 214 21 ) ) -RRB- cord-132120-u5s5heqm 214 22 varies vary VBZ cord-132120-u5s5heqm 214 23 slowly slowly RB cord-132120-u5s5heqm 214 24 over over IN cord-132120-u5s5heqm 214 25 time time NN cord-132120-u5s5heqm 214 26 may may MD cord-132120-u5s5heqm 214 27 be be VB cord-132120-u5s5heqm 214 28 a a DT cord-132120-u5s5heqm 214 29 plausible plausible JJ cord-132120-u5s5heqm 214 30 assumption assumption NN cord-132120-u5s5heqm 214 31 . . . cord-132120-u5s5heqm 215 1 Note note VB cord-132120-u5s5heqm 215 2 , , , cord-132120-u5s5heqm 215 3 however however RB cord-132120-u5s5heqm 215 4 , , , cord-132120-u5s5heqm 215 5 that that IN cord-132120-u5s5heqm 215 6 constant constant JJ cord-132120-u5s5heqm 215 7 ∆ ∆ NN cord-132120-u5s5heqm 215 8 t t NN cord-132120-u5s5heqm 215 9 does do VBZ cord-132120-u5s5heqm 215 10 not not RB cord-132120-u5s5heqm 215 11 imply imply VB cord-132120-u5s5heqm 215 12 constant constant JJ cord-132120-u5s5heqm 215 13 data data NN cord-132120-u5s5heqm 215 14 quality quality NN cord-132120-u5s5heqm 215 15 ( ( -LRB- cord-132120-u5s5heqm 215 16 see see VB cord-132120-u5s5heqm 215 17 Appendix Appendix NNP cord-132120-u5s5heqm 215 18 B B NNP cord-132120-u5s5heqm 215 19 for for IN cord-132120-u5s5heqm 215 20 details detail NNS cord-132120-u5s5heqm 215 21 ) ) -RRB- cord-132120-u5s5heqm 215 22 . . . cord-132120-u5s5heqm 216 1 Figure figure NN cord-132120-u5s5heqm 216 2 5a 5a CD cord-132120-u5s5heqm 216 3 shows show VBZ cord-132120-u5s5heqm 216 4 the the DT cord-132120-u5s5heqm 216 5 number number NN cord-132120-u5s5heqm 216 6 of of IN cord-132120-u5s5heqm 216 7 tests test NNS cord-132120-u5s5heqm 216 8 has have VBZ cord-132120-u5s5heqm 216 9 remained remain VBN cord-132120-u5s5heqm 216 10 relatively relatively RB cord-132120-u5s5heqm 216 11 constant constant JJ cord-132120-u5s5heqm 216 12 in in IN cord-132120-u5s5heqm 216 13 the the DT cord-132120-u5s5heqm 216 14 last last JJ cord-132120-u5s5heqm 216 15 few few JJ cord-132120-u5s5heqm 216 16 weeks week NNS cord-132120-u5s5heqm 216 17 , , , cord-132120-u5s5heqm 216 18 specifically specifically RB cord-132120-u5s5heqm 216 19 relative relative JJ cord-132120-u5s5heqm 216 20 to to IN cord-132120-u5s5heqm 216 21 the the DT cord-132120-u5s5heqm 216 22 total total JJ cord-132120-u5s5heqm 216 23 NY NY NNP cord-132120-u5s5heqm 216 24 population population NN cord-132120-u5s5heqm 216 25 , , , cord-132120-u5s5heqm 216 26 assuming assume VBG cord-132120-u5s5heqm 216 27 f f NNP cord-132120-u5s5heqm 216 28 t t NN cord-132120-u5s5heqm 216 29 also also RB cord-132120-u5s5heqm 216 30 varies vary VBZ cord-132120-u5s5heqm 216 31 slowly slowly RB cord-132120-u5s5heqm 216 32 in in IN cord-132120-u5s5heqm 216 33 time time NN cord-132120-u5s5heqm 216 34 is be VBZ cord-132120-u5s5heqm 216 35 reasonable reasonable JJ cord-132120-u5s5heqm 216 36 . . . cord-132120-u5s5heqm 217 1 Finally finally RB cord-132120-u5s5heqm 217 2 , , , cord-132120-u5s5heqm 217 3 the the DT cord-132120-u5s5heqm 217 4 measurement measurement NN cord-132120-u5s5heqm 217 5 error error NN cord-132120-u5s5heqm 217 6 adjustment adjustment NN cord-132120-u5s5heqm 217 7 is be VBZ cord-132120-u5s5heqm 217 8 likely likely JJ cord-132120-u5s5heqm 217 9 to to TO cord-132120-u5s5heqm 217 10 be be VB cord-132120-u5s5heqm 217 11 constant constant JJ cord-132120-u5s5heqm 217 12 as as IN cord-132120-u5s5heqm 217 13 no no DT cord-132120-u5s5heqm 217 14 new new JJ cord-132120-u5s5heqm 217 15 testing testing NN cord-132120-u5s5heqm 217 16 procedures procedure NNS cord-132120-u5s5heqm 217 17 have have VBP cord-132120-u5s5heqm 217 18 been be VBN cord-132120-u5s5heqm 217 19 reported report VBN cord-132120-u5s5heqm 217 20 . . . cord-132120-u5s5heqm 218 1 This this DT cord-132120-u5s5heqm 218 2 would would MD cord-132120-u5s5heqm 218 3 not not RB cord-132120-u5s5heqm 218 4 be be VB cord-132120-u5s5heqm 218 5 true true JJ cord-132120-u5s5heqm 218 6 in in IN cord-132120-u5s5heqm 218 7 states state NNS cord-132120-u5s5heqm 218 8 like like IN cord-132120-u5s5heqm 218 9 Michigan Michigan NNP cord-132120-u5s5heqm 218 10 , , , cord-132120-u5s5heqm 218 11 where where WRB cord-132120-u5s5heqm 218 12 testing testing NN cord-132120-u5s5heqm 218 13 criteria criterion NNS cord-132120-u5s5heqm 218 14 have have VBP cord-132120-u5s5heqm 218 15 been be VBN cord-132120-u5s5heqm 218 16 expanding expand VBG cord-132120-u5s5heqm 218 17 every every DT cord-132120-u5s5heqm 218 18 few few JJ cord-132120-u5s5heqm 218 19 weeks week NNS cord-132120-u5s5heqm 218 20 . . . cord-132120-u5s5heqm 219 1 The the DT cord-132120-u5s5heqm 219 2 final final JJ cord-132120-u5s5heqm 219 3 component component NN cord-132120-u5s5heqm 219 4 is be VBZ cord-132120-u5s5heqm 219 5 an an DT cord-132120-u5s5heqm 219 6 adjustment adjustment NN cord-132120-u5s5heqm 219 7 to to IN cord-132120-u5s5heqm 219 8 this this DT cord-132120-u5s5heqm 219 9 differential differential JJ cord-132120-u5s5heqm 219 10 error error NN cord-132120-u5s5heqm 219 11 based base VBN cord-132120-u5s5heqm 219 12 on on IN cord-132120-u5s5heqm 219 13 the the DT cord-132120-u5s5heqm 219 14 statistical statistical JJ cord-132120-u5s5heqm 219 15 error error NN cord-132120-u5s5heqm 219 16 at at IN cord-132120-u5s5heqm 219 17 the the DT cord-132120-u5s5heqm 219 18 first first JJ cord-132120-u5s5heqm 219 19 time time NN cord-132120-u5s5heqm 219 20 point point NN cord-132120-u5s5heqm 219 21 . . . cord-132120-u5s5heqm 220 1 Figure figure NN cord-132120-u5s5heqm 220 2 3a 3a CD cord-132120-u5s5heqm 220 3 shows show VBZ cord-132120-u5s5heqm 220 4 a a DT cord-132120-u5s5heqm 220 5 trajectory trajectory NN cord-132120-u5s5heqm 220 6 of of IN cord-132120-u5s5heqm 220 7 the the DT cord-132120-u5s5heqm 220 8 true true JJ cord-132120-u5s5heqm 220 9 ratio ratio NN cord-132120-u5s5heqm 220 10 and and CC cord-132120-u5s5heqm 220 11 the the DT cord-132120-u5s5heqm 220 12 potential potential JJ cord-132120-u5s5heqm 220 13 biased biased JJ cord-132120-u5s5heqm 220 14 estimators estimator NNS cord-132120-u5s5heqm 220 15 under under IN cord-132120-u5s5heqm 220 16 an an DT cord-132120-u5s5heqm 220 17 SIR SIR NNP cord-132120-u5s5heqm 220 18 model model NN cord-132120-u5s5heqm 220 19 for for IN cord-132120-u5s5heqm 220 20 the the DT cord-132120-u5s5heqm 220 21 epidemic epidemic NN cord-132120-u5s5heqm 220 22 dynamics dynamic NNS cord-132120-u5s5heqm 220 23 , , , cord-132120-u5s5heqm 220 24 with with IN cord-132120-u5s5heqm 220 25 state state NN cord-132120-u5s5heqm 220 26 evolution evolution NN cord-132120-u5s5heqm 220 27 given give VBN cord-132120-u5s5heqm 220 28 by by IN cord-132120-u5s5heqm 220 29 the the DT cord-132120-u5s5heqm 220 30 following following JJ cord-132120-u5s5heqm 220 31 ODE ODE NNP cord-132120-u5s5heqm 220 32 where where WRB cord-132120-u5s5heqm 220 33 S S NNP cord-132120-u5s5heqm 220 34 t t NN cord-132120-u5s5heqm 220 35 is be VBZ cord-132120-u5s5heqm 220 36 the the DT cord-132120-u5s5heqm 220 37 number number NN cord-132120-u5s5heqm 220 38 of of IN cord-132120-u5s5heqm 220 39 susceptible susceptible JJ cord-132120-u5s5heqm 220 40 individuals individual NNS cord-132120-u5s5heqm 220 41 at at IN cord-132120-u5s5heqm 220 42 time time NN cord-132120-u5s5heqm 220 43 t t NN cord-132120-u5s5heqm 221 1 , , , cord-132120-u5s5heqm 221 2 I -PRON- PRP cord-132120-u5s5heqm 221 3 t t NN cord-132120-u5s5heqm 221 4 is be VBZ cord-132120-u5s5heqm 221 5 the the DT cord-132120-u5s5heqm 221 6 number number NN cord-132120-u5s5heqm 221 7 of of IN cord-132120-u5s5heqm 221 8 infected infected JJ cord-132120-u5s5heqm 221 9 individuals individual NNS cord-132120-u5s5heqm 221 10 at at IN cord-132120-u5s5heqm 221 11 time time NN cord-132120-u5s5heqm 221 12 t t NNP cord-132120-u5s5heqm 221 13 , , , cord-132120-u5s5heqm 221 14 N N NNP cord-132120-u5s5heqm 221 15 is be VBZ cord-132120-u5s5heqm 221 16 the the DT cord-132120-u5s5heqm 221 17 total total JJ cord-132120-u5s5heqm 221 18 population population NN cord-132120-u5s5heqm 221 19 size size NN cord-132120-u5s5heqm 221 20 , , , cord-132120-u5s5heqm 221 21 and and CC cord-132120-u5s5heqm 221 22 R r NN cord-132120-u5s5heqm 221 23 t t NN cord-132120-u5s5heqm 221 24 is be VBZ cord-132120-u5s5heqm 221 25 the the DT cord-132120-u5s5heqm 221 26 number number NN cord-132120-u5s5heqm 221 27 of of IN cord-132120-u5s5heqm 221 28 removed remove VBN cord-132120-u5s5heqm 221 29 ( ( -LRB- cord-132120-u5s5heqm 221 30 recovered recover VBN cord-132120-u5s5heqm 221 31 or or CC cord-132120-u5s5heqm 221 32 deceased deceased JJ cord-132120-u5s5heqm 221 33 ) ) -RRB- cord-132120-u5s5heqm 221 34 individuals individual NNS cord-132120-u5s5heqm 221 35 at at IN cord-132120-u5s5heqm 221 36 time time NN cord-132120-u5s5heqm 221 37 t. t. NNP cord-132120-u5s5heqm 221 38 Figure Figure NNP cord-132120-u5s5heqm 221 39 4a 4a CD cord-132120-u5s5heqm 221 40 presents present VBZ cord-132120-u5s5heqm 221 41 the the DT cord-132120-u5s5heqm 221 42 fraction fraction NN cord-132120-u5s5heqm 221 43 of of IN cord-132120-u5s5heqm 221 44 population population NN cord-132120-u5s5heqm 221 45 newly newly RB cord-132120-u5s5heqm 221 46 infected infect VBN cord-132120-u5s5heqm 221 47 individuals individual NNS cord-132120-u5s5heqm 221 48 at at IN cord-132120-u5s5heqm 221 49 each each DT cord-132120-u5s5heqm 221 50 time time NN cord-132120-u5s5heqm 221 51 step step NN cord-132120-u5s5heqm 221 52 for for IN cord-132120-u5s5heqm 221 53 β β NN cord-132120-u5s5heqm 221 54 = = SYM cord-132120-u5s5heqm 221 55 1.4 1.4 CD cord-132120-u5s5heqm 221 56 and and CC cord-132120-u5s5heqm 221 57 γ γ NN cord-132120-u5s5heqm 221 58 = = SYM cord-132120-u5s5heqm 221 59 0.2 0.2 CD cord-132120-u5s5heqm 221 60 ( ( -LRB- cord-132120-u5s5heqm 221 61 black black JJ cord-132120-u5s5heqm 221 62 line line NN cord-132120-u5s5heqm 221 63 ) ) -RRB- cord-132120-u5s5heqm 221 64 . . . cord-132120-u5s5heqm 222 1 In in IN cord-132120-u5s5heqm 222 2 each each DT cord-132120-u5s5heqm 222 3 case case NN cord-132120-u5s5heqm 222 4 , , , cord-132120-u5s5heqm 222 5 the the DT cord-132120-u5s5heqm 222 6 rate rate NN cord-132120-u5s5heqm 222 7 of of IN cord-132120-u5s5heqm 222 8 change change NN cord-132120-u5s5heqm 222 9 in in IN cord-132120-u5s5heqm 222 10 prevalence prevalence NN cord-132120-u5s5heqm 222 11 is be VBZ cord-132120-u5s5heqm 222 12 likely likely JJ cord-132120-u5s5heqm 222 13 to to TO cord-132120-u5s5heqm 222 14 be be VB cord-132120-u5s5heqm 222 15 overestimated overestimate VBN cord-132120-u5s5heqm 222 16 prior prior RB cord-132120-u5s5heqm 222 17 to to IN cord-132120-u5s5heqm 222 18 the the DT cord-132120-u5s5heqm 222 19 peak peak NN cord-132120-u5s5heqm 222 20 and and CC cord-132120-u5s5heqm 222 21 then then RB cord-132120-u5s5heqm 222 22 underestimated underestimate VBD cord-132120-u5s5heqm 222 23 afterwards afterwards RB cord-132120-u5s5heqm 222 24 . . . cord-132120-u5s5heqm 223 1 From from IN cord-132120-u5s5heqm 223 2 a a DT cord-132120-u5s5heqm 223 3 decision decision NN cord-132120-u5s5heqm 223 4 making making NN cord-132120-u5s5heqm 223 5 perspective perspective NN cord-132120-u5s5heqm 223 6 , , , cord-132120-u5s5heqm 223 7 such such JJ cord-132120-u5s5heqm 223 8 biases bias NNS cord-132120-u5s5heqm 223 9 have have VBP cord-132120-u5s5heqm 223 10 potential potential JJ cord-132120-u5s5heqm 223 11 impact impact NN cord-132120-u5s5heqm 223 12 . . . cord-132120-u5s5heqm 224 1 First first RB cord-132120-u5s5heqm 224 2 , , , cord-132120-u5s5heqm 224 3 the the DT cord-132120-u5s5heqm 224 4 overestimation overestimation NN cord-132120-u5s5heqm 224 5 may may MD cord-132120-u5s5heqm 224 6 give give VB cord-132120-u5s5heqm 224 7 lawmakers lawmaker NNS cord-132120-u5s5heqm 224 8 and and CC cord-132120-u5s5heqm 224 9 governors governor NNS cord-132120-u5s5heqm 224 10 more more JJR cord-132120-u5s5heqm 224 11 leverage leverage NN cord-132120-u5s5heqm 224 12 in in IN cord-132120-u5s5heqm 224 13 proposing propose VBG cord-132120-u5s5heqm 224 14 aggressive aggressive JJ cord-132120-u5s5heqm 224 15 actions action NNS cord-132120-u5s5heqm 224 16 that that WDT cord-132120-u5s5heqm 224 17 reduce reduce VBP cord-132120-u5s5heqm 224 18 prevalence prevalence NN cord-132120-u5s5heqm 224 19 . . . cord-132120-u5s5heqm 225 1 Of of RB cord-132120-u5s5heqm 225 2 course course RB cord-132120-u5s5heqm 225 3 , , , cord-132120-u5s5heqm 225 4 the the DT cord-132120-u5s5heqm 225 5 analysis analysis NN cord-132120-u5s5heqm 225 6 supports support VBZ cord-132120-u5s5heqm 225 7 the the DT cord-132120-u5s5heqm 225 8 argument argument NN cord-132120-u5s5heqm 225 9 that that IN cord-132120-u5s5heqm 225 10 the the DT cord-132120-u5s5heqm 225 11 estimates estimate NNS cord-132120-u5s5heqm 225 12 based base VBN cord-132120-u5s5heqm 225 13 on on IN cord-132120-u5s5heqm 225 14 available available JJ cord-132120-u5s5heqm 225 15 data datum NNS cord-132120-u5s5heqm 225 16 are be VBP cord-132120-u5s5heqm 225 17 overly overly RB cord-132120-u5s5heqm 225 18 pessimistic pessimistic JJ cord-132120-u5s5heqm 225 19 . . . cord-132120-u5s5heqm 226 1 What what WP cord-132120-u5s5heqm 226 2 both both DT cord-132120-u5s5heqm 226 3 sides side NNS cord-132120-u5s5heqm 226 4 miss miss VBP cord-132120-u5s5heqm 226 5 is be VBZ cord-132120-u5s5heqm 226 6 that that IN cord-132120-u5s5heqm 226 7 the the DT cord-132120-u5s5heqm 226 8 direction direction NN cord-132120-u5s5heqm 226 9 of of IN cord-132120-u5s5heqm 226 10 bias bias NN cord-132120-u5s5heqm 226 11 is be VBZ cord-132120-u5s5heqm 226 12 non non JJ cord-132120-u5s5heqm 226 13 - - JJ cord-132120-u5s5heqm 226 14 constant constant JJ cord-132120-u5s5heqm 226 15 over over IN cord-132120-u5s5heqm 226 16 time time NN cord-132120-u5s5heqm 226 17 . . . cord-132120-u5s5heqm 227 1 After after IN cord-132120-u5s5heqm 227 2 we -PRON- PRP cord-132120-u5s5heqm 227 3 hit hit VBD cord-132120-u5s5heqm 227 4 the the DT cord-132120-u5s5heqm 227 5 peak peak NN cord-132120-u5s5heqm 227 6 , , , cord-132120-u5s5heqm 227 7 estimates estimate NNS cord-132120-u5s5heqm 227 8 will will MD cord-132120-u5s5heqm 227 9 likely likely RB cord-132120-u5s5heqm 227 10 under under IN cord-132120-u5s5heqm 227 11 - - HYPH cord-132120-u5s5heqm 227 12 estimate estimate NN cord-132120-u5s5heqm 227 13 prevalence prevalence NN cord-132120-u5s5heqm 227 14 . . . cord-132120-u5s5heqm 228 1 Such such JJ cord-132120-u5s5heqm 228 2 bias bias NN cord-132120-u5s5heqm 228 3 puts put VBZ cord-132120-u5s5heqm 228 4 pressure pressure NN cord-132120-u5s5heqm 228 5 on on IN cord-132120-u5s5heqm 228 6 lawmakers lawmaker NNS cord-132120-u5s5heqm 228 7 and and CC cord-132120-u5s5heqm 228 8 governors governor NNS cord-132120-u5s5heqm 228 9 to to TO cord-132120-u5s5heqm 228 10 prematurely prematurely RB cord-132120-u5s5heqm 228 11 relax relax VB cord-132120-u5s5heqm 228 12 social social JJ cord-132120-u5s5heqm 228 13 distancing distancing NN cord-132120-u5s5heqm 228 14 measures measure NNS cord-132120-u5s5heqm 228 15 . . . cord-132120-u5s5heqm 229 1 Moreover moreover RB cord-132120-u5s5heqm 229 2 , , , cord-132120-u5s5heqm 229 3 the the DT cord-132120-u5s5heqm 229 4 question question NN cord-132120-u5s5heqm 229 5 is be VBZ cord-132120-u5s5heqm 229 6 " " `` cord-132120-u5s5heqm 229 7 Can Can MD cord-132120-u5s5heqm 229 8 we -PRON- PRP cord-132120-u5s5heqm 229 9 trust trust VB cord-132120-u5s5heqm 229 10 the the DT cord-132120-u5s5heqm 229 11 observed observed JJ cord-132120-u5s5heqm 229 12 data datum NNS cord-132120-u5s5heqm 229 13 to to TO cord-132120-u5s5heqm 229 14 let let VB cord-132120-u5s5heqm 229 15 us -PRON- PRP cord-132120-u5s5heqm 229 16 know know VB cord-132120-u5s5heqm 229 17 if if IN cord-132120-u5s5heqm 229 18 we -PRON- PRP cord-132120-u5s5heqm 229 19 have have VBP cord-132120-u5s5heqm 229 20 reached reach VBN cord-132120-u5s5heqm 229 21 the the DT cord-132120-u5s5heqm 229 22 peak peak NN cord-132120-u5s5heqm 229 23 ? ? . cord-132120-u5s5heqm 229 24 " " '' cord-132120-u5s5heqm 230 1 It -PRON- PRP cord-132120-u5s5heqm 230 2 appears appear VBZ cord-132120-u5s5heqm 230 3 that that IN cord-132120-u5s5heqm 230 4 the the DT cord-132120-u5s5heqm 230 5 peak peak NN cord-132120-u5s5heqm 230 6 time time NN cord-132120-u5s5heqm 230 7 is be VBZ cord-132120-u5s5heqm 230 8 the the DT cord-132120-u5s5heqm 230 9 easiest easy JJS cord-132120-u5s5heqm 230 10 to to TO cord-132120-u5s5heqm 230 11 estimate estimate VB cord-132120-u5s5heqm 230 12 in in IN cord-132120-u5s5heqm 230 13 terms term NNS cord-132120-u5s5heqm 230 14 of of IN cord-132120-u5s5heqm 230 15 having have VBG cord-132120-u5s5heqm 230 16 minimal minimal JJ cord-132120-u5s5heqm 230 17 error error NN cord-132120-u5s5heqm 230 18 using use VBG cord-132120-u5s5heqm 230 19 availability availability NN cord-132120-u5s5heqm 230 20 data datum NNS cord-132120-u5s5heqm 230 21 . . . cord-132120-u5s5heqm 231 1 Note note VB cord-132120-u5s5heqm 231 2 , , , cord-132120-u5s5heqm 231 3 however however RB cord-132120-u5s5heqm 231 4 , , , cord-132120-u5s5heqm 231 5 that that IN cord-132120-u5s5heqm 231 6 the the DT cord-132120-u5s5heqm 231 7 standard standard JJ cord-132120-u5s5heqm 231 8 errors error NNS cord-132120-u5s5heqm 231 9 on on IN cord-132120-u5s5heqm 231 10 such such JJ cord-132120-u5s5heqm 231 11 estimates estimate NNS cord-132120-u5s5heqm 231 12 will will MD cord-132120-u5s5heqm 231 13 be be VB cord-132120-u5s5heqm 231 14 incredibly incredibly RB cord-132120-u5s5heqm 231 15 wide wide JJ cord-132120-u5s5heqm 231 16 due due IN cord-132120-u5s5heqm 231 17 to to IN cord-132120-u5s5heqm 231 18 the the DT cord-132120-u5s5heqm 231 19 low low JJ cord-132120-u5s5heqm 231 20 effective effective JJ cord-132120-u5s5heqm 231 21 sample sample NN cord-132120-u5s5heqm 231 22 size size NN cord-132120-u5s5heqm 231 23 as as IN cord-132120-u5s5heqm 231 24 discussed discuss VBN cord-132120-u5s5heqm 231 25 in in IN cord-132120-u5s5heqm 231 26 Section section NN cord-132120-u5s5heqm 231 27 2 2 CD cord-132120-u5s5heqm 231 28 . . . cord-132120-u5s5heqm 232 1 2.3 2.3 CD cord-132120-u5s5heqm 232 2 . . . cord-132120-u5s5heqm 233 1 Estimation estimation NN cord-132120-u5s5heqm 233 2 of of IN cord-132120-u5s5heqm 233 3 effective effective JJ cord-132120-u5s5heqm 233 4 reproduction reproduction NN cord-132120-u5s5heqm 233 5 number number NN cord-132120-u5s5heqm 233 6 . . . cord-132120-u5s5heqm 234 1 Many many JJ cord-132120-u5s5heqm 234 2 well well RB cord-132120-u5s5heqm 234 3 - - HYPH cord-132120-u5s5heqm 234 4 respected respect VBN cord-132120-u5s5heqm 234 5 epidemiologists epidemiologist NNS cord-132120-u5s5heqm 234 6 argue argue VBP cord-132120-u5s5heqm 234 7 that that IN cord-132120-u5s5heqm 234 8 tracking track VBG cord-132120-u5s5heqm 234 9 the the DT cord-132120-u5s5heqm 234 10 effective effective JJ cord-132120-u5s5heqm 234 11 reproduction reproduction NN cord-132120-u5s5heqm 234 12 number number NN cord-132120-u5s5heqm 234 13 R r NN cord-132120-u5s5heqm 234 14 t t NN cord-132120-u5s5heqm 234 15 is be VBZ cord-132120-u5s5heqm 234 16 the the DT cord-132120-u5s5heqm 234 17 only only JJ cord-132120-u5s5heqm 234 18 way way NN cord-132120-u5s5heqm 234 19 to to TO cord-132120-u5s5heqm 234 20 manage manage VB cord-132120-u5s5heqm 234 21 through through IN cord-132120-u5s5heqm 234 22 the the DT cord-132120-u5s5heqm 234 23 crisis crisis NN cord-132120-u5s5heqm 234 24 [ [ -LRB- cord-132120-u5s5heqm 234 25 Leung Leung NNP cord-132120-u5s5heqm 234 26 , , , cord-132120-u5s5heqm 234 27 2020 2020 CD cord-132120-u5s5heqm 234 28 ] ] -RRB- cord-132120-u5s5heqm 234 29 . . . cord-132120-u5s5heqm 235 1 We -PRON- PRP cord-132120-u5s5heqm 235 2 show show VBP cord-132120-u5s5heqm 235 3 here here RB cord-132120-u5s5heqm 235 4 how how WRB cord-132120-u5s5heqm 235 5 these these DT cord-132120-u5s5heqm 235 6 estimates estimate NNS cord-132120-u5s5heqm 235 7 are be VBP cord-132120-u5s5heqm 235 8 also also RB cord-132120-u5s5heqm 235 9 impacted impact VBN cord-132120-u5s5heqm 235 10 by by IN cord-132120-u5s5heqm 235 11 selection selection NN cord-132120-u5s5heqm 235 12 bias bias NN cord-132120-u5s5heqm 235 13 and and CC cord-132120-u5s5heqm 235 14 measurement measurement NN cord-132120-u5s5heqm 235 15 error error NN cord-132120-u5s5heqm 235 16 . . . cord-132120-u5s5heqm 236 1 For for IN cord-132120-u5s5heqm 236 2 simplicity simplicity NN cord-132120-u5s5heqm 236 3 , , , cord-132120-u5s5heqm 236 4 we -PRON- PRP cord-132120-u5s5heqm 236 5 again again RB cord-132120-u5s5heqm 236 6 assume assume VBP cord-132120-u5s5heqm 236 7 the the DT cord-132120-u5s5heqm 236 8 estimates estimate NNS cord-132120-u5s5heqm 236 9 are be VBP cord-132120-u5s5heqm 236 10 adjusted adjust VBN cord-132120-u5s5heqm 236 11 for for IN cord-132120-u5s5heqm 236 12 known know VBN cord-132120-u5s5heqm 236 13 false false JJ cord-132120-u5s5heqm 236 14 positive positive JJ cord-132120-u5s5heqm 236 15 and and CC cord-132120-u5s5heqm 236 16 false false JJ cord-132120-u5s5heqm 236 17 negative negative JJ cord-132120-u5s5heqm 236 18 rates rate NNS cord-132120-u5s5heqm 236 19 . . . cord-132120-u5s5heqm 237 1 Bettencourt Bettencourt NNP cord-132120-u5s5heqm 237 2 and and CC cord-132120-u5s5heqm 237 3 Ribeiro Ribeiro NNP cord-132120-u5s5heqm 237 4 [ [ -LRB- cord-132120-u5s5heqm 237 5 2008 2008 CD cord-132120-u5s5heqm 237 6 ] ] -RRB- cord-132120-u5s5heqm 237 7 show show VBP cord-132120-u5s5heqm 237 8 that that IN cord-132120-u5s5heqm 237 9 under under IN cord-132120-u5s5heqm 237 10 a a DT cord-132120-u5s5heqm 237 11 Poisson Poisson NNP cord-132120-u5s5heqm 237 12 likelihood likelihood NN cord-132120-u5s5heqm 237 13 , , , cord-132120-u5s5heqm 237 14 a a DT cord-132120-u5s5heqm 237 15 simple simple JJ cord-132120-u5s5heqm 237 16 relation relation NN cord-132120-u5s5heqm 237 17 between between IN cord-132120-u5s5heqm 237 18 the the DT cord-132120-u5s5heqm 237 19 trajectory trajectory NN cord-132120-u5s5heqm 237 20 of of IN cord-132120-u5s5heqm 237 21 new new JJ cord-132120-u5s5heqm 237 22 cases case NNS cord-132120-u5s5heqm 237 23 and and CC cord-132120-u5s5heqm 237 24 the the DT cord-132120-u5s5heqm 237 25 effective effective JJ cord-132120-u5s5heqm 237 26 reproduction reproduction NN cord-132120-u5s5heqm 237 27 number number NN cord-132120-u5s5heqm 237 28 can can MD cord-132120-u5s5heqm 237 29 be be VB cord-132120-u5s5heqm 237 30 derived derive VBN cord-132120-u5s5heqm 237 31 . . . cord-132120-u5s5heqm 238 1 In in IN cord-132120-u5s5heqm 238 2 particular particular JJ cord-132120-u5s5heqm 238 3 , , , cord-132120-u5s5heqm 238 4 under under IN cord-132120-u5s5heqm 238 5 an an DT cord-132120-u5s5heqm 238 6 SIR SIR NNP cord-132120-u5s5heqm 238 7 model model NN cord-132120-u5s5heqm 238 8 , , , cord-132120-u5s5heqm 238 9 the the DT cord-132120-u5s5heqm 238 10 number number NN cord-132120-u5s5heqm 238 11 of of IN cord-132120-u5s5heqm 238 12 case case NN cord-132120-u5s5heqm 238 13 counts count VBZ cord-132120-u5s5heqm 238 14 on on IN cord-132120-u5s5heqm 238 15 day day NN cord-132120-u5s5heqm 239 1 the the DT cord-132120-u5s5heqm 239 2 number number NN cord-132120-u5s5heqm 239 3 of of IN cord-132120-u5s5heqm 239 4 new new JJ cord-132120-u5s5heqm 239 5 cases case NNS cord-132120-u5s5heqm 239 6 on on IN cord-132120-u5s5heqm 239 7 day day NN cord-132120-u5s5heqm 239 8 t t NNP cord-132120-u5s5heqm 239 9 − − NNP cord-132120-u5s5heqm 239 10 1 1 CD cord-132120-u5s5heqm 239 11 and and CC cord-132120-u5s5heqm 239 12 γ γ NNP cord-132120-u5s5heqm 239 13 is be VBZ cord-132120-u5s5heqm 239 14 the the DT cord-132120-u5s5heqm 239 15 serial serial JJ cord-132120-u5s5heqm 239 16 interval interval NN cord-132120-u5s5heqm 239 17 which which WDT cord-132120-u5s5heqm 239 18 is be VBZ cord-132120-u5s5heqm 239 19 approximately approximately RB cord-132120-u5s5heqm 239 20 7 7 CD cord-132120-u5s5heqm 239 21 days day NNS cord-132120-u5s5heqm 239 22 for for IN cord-132120-u5s5heqm 239 23 COVID-19 covid-19 NN cord-132120-u5s5heqm 240 1 [ [ -LRB- cord-132120-u5s5heqm 240 2 Sanche Sanche NNP cord-132120-u5s5heqm 240 3 et et NNP cord-132120-u5s5heqm 240 4 al al NNP cord-132120-u5s5heqm 240 5 . . NNP cord-132120-u5s5heqm 240 6 , , , cord-132120-u5s5heqm 240 7 2020 2020 CD cord-132120-u5s5heqm 240 8 ] ] -RRB- cord-132120-u5s5heqm 240 9 . . . cord-132120-u5s5heqm 241 1 Using use VBG cord-132120-u5s5heqm 241 2 this this DT cord-132120-u5s5heqm 241 3 , , , cord-132120-u5s5heqm 241 4 a a DT cord-132120-u5s5heqm 241 5 simple simple JJ cord-132120-u5s5heqm 241 6 estimator estimator NN cord-132120-u5s5heqm 241 7 of of IN cord-132120-u5s5heqm 241 8 the the DT cord-132120-u5s5heqm 241 9 effective effective JJ cord-132120-u5s5heqm 241 10 reproduction reproduction NN cord-132120-u5s5heqm 241 11 number number NN cord-132120-u5s5heqm 241 12 at at IN cord-132120-u5s5heqm 241 13 time time NN cord-132120-u5s5heqm 241 14 t t NN cord-132120-u5s5heqm 241 15 can can MD cord-132120-u5s5heqm 241 16 be be VB cord-132120-u5s5heqm 241 17 given give VBN cord-132120-u5s5heqm 241 18 by by IN cord-132120-u5s5heqm 241 19 Of of RB cord-132120-u5s5heqm 241 20 course course RB cord-132120-u5s5heqm 241 21 , , , cord-132120-u5s5heqm 241 22 we -PRON- PRP cord-132120-u5s5heqm 241 23 do do VBP cord-132120-u5s5heqm 241 24 not not RB cord-132120-u5s5heqm 241 25 observe observe VB cord-132120-u5s5heqm 241 26 K K NNP cord-132120-u5s5heqm 241 27 t t NN cord-132120-u5s5heqm 241 28 and and CC cord-132120-u5s5heqm 241 29 K k XX cord-132120-u5s5heqm 241 30 t−1 t−1 DT cord-132120-u5s5heqm 241 31 but but CC cord-132120-u5s5heqm 241 32 noisy noisy JJ cord-132120-u5s5heqm 241 33 proxies proxy NNS cord-132120-u5s5heqm 241 34 y y NNP cord-132120-u5s5heqm 241 35 t t NNP cord-132120-u5s5heqm 241 36 and and CC cord-132120-u5s5heqm 241 37 y y NNP cord-132120-u5s5heqm 241 38 t−1 t−1 NNP cord-132120-u5s5heqm 241 39 , , , cord-132120-u5s5heqm 241 40 i.e. i.e. FW cord-132120-u5s5heqm 241 41 , , , cord-132120-u5s5heqm 241 42 the the DT cord-132120-u5s5heqm 241 43 observed observed JJ cord-132120-u5s5heqm 241 44 case case NN cord-132120-u5s5heqm 241 45 - - HYPH cord-132120-u5s5heqm 241 46 count count NN cord-132120-u5s5heqm 241 47 on on IN cord-132120-u5s5heqm 241 48 day day NN cord-132120-u5s5heqm 241 49 t t NN cord-132120-u5s5heqm 241 50 and and CC cord-132120-u5s5heqm 241 51 t t NNP cord-132120-u5s5heqm 241 52 − − NNP cord-132120-u5s5heqm 241 53 1 1 CD cord-132120-u5s5heqm 241 54 respectively respectively RB cord-132120-u5s5heqm 241 55 . . . cord-132120-u5s5heqm 242 1 The the DT cord-132120-u5s5heqm 242 2 hope hope NN cord-132120-u5s5heqm 242 3 is be VBZ cord-132120-u5s5heqm 242 4 that that IN cord-132120-u5s5heqm 242 5 y y NNP cord-132120-u5s5heqm 242 6 t t NNP cord-132120-u5s5heqm 242 7 /y /y NNP cord-132120-u5s5heqm 242 8 t−1 t−1 NNP cord-132120-u5s5heqm 242 9 is be VBZ cord-132120-u5s5heqm 242 10 a a DT cord-132120-u5s5heqm 242 11 good good JJ cord-132120-u5s5heqm 242 12 proxy proxy NN cord-132120-u5s5heqm 242 13 for for IN cord-132120-u5s5heqm 242 14 K K NNP cord-132120-u5s5heqm 242 15 t t NN cord-132120-u5s5heqm 242 16 /K /K . cord-132120-u5s5heqm 242 17 t−1 t−1 UH cord-132120-u5s5heqm 242 18 where where WRB cord-132120-u5s5heqm 242 19 here here RB cord-132120-u5s5heqm 242 20 y y NNP cord-132120-u5s5heqm 242 21 t t NN cord-132120-u5s5heqm 242 22 is be VBZ cord-132120-u5s5heqm 242 23 conceptualized conceptualize VBN cord-132120-u5s5heqm 242 24 as as IN cord-132120-u5s5heqm 242 25 the the DT cord-132120-u5s5heqm 242 26 number number NN cord-132120-u5s5heqm 242 27 of of IN cord-132120-u5s5heqm 242 28 new new JJ cord-132120-u5s5heqm 242 29 cases case NNS cord-132120-u5s5heqm 242 30 on on IN cord-132120-u5s5heqm 242 31 day day NN cord-132120-u5s5heqm 243 1 t. t. NNP cord-132120-u5s5heqm 244 1 However however RB cord-132120-u5s5heqm 244 2 , , , cord-132120-u5s5heqm 244 3 if if IN cord-132120-u5s5heqm 244 4 we -PRON- PRP cord-132120-u5s5heqm 244 5 think think VBP cord-132120-u5s5heqm 244 6 about about IN cord-132120-u5s5heqm 244 7 estimating estimate VBG cord-132120-u5s5heqm 244 8 number number NN cord-132120-u5s5heqm 244 9 K K NNP cord-132120-u5s5heqm 244 10 t t NNP cord-132120-u5s5heqm 244 11 under under IN cord-132120-u5s5heqm 244 12 SRS SRS NNP cord-132120-u5s5heqm 244 13 of of IN cord-132120-u5s5heqm 244 14 new new JJ cord-132120-u5s5heqm 244 15 cases case NNS cord-132120-u5s5heqm 244 16 among among IN cord-132120-u5s5heqm 244 17 those those DT cord-132120-u5s5heqm 244 18 susceptible susceptible JJ cord-132120-u5s5heqm 244 19 on on IN cord-132120-u5s5heqm 244 20 day day NN cord-132120-u5s5heqm 244 21 t t NN cord-132120-u5s5heqm 244 22 , , , cord-132120-u5s5heqm 244 23 the the DT cord-132120-u5s5heqm 244 24 natural natural JJ cord-132120-u5s5heqm 244 25 estimator estimator NN cord-132120-u5s5heqm 244 26 is be VBZ cord-132120-u5s5heqm 244 27 S S NNP cord-132120-u5s5heqm 244 28 tȳt tȳt NN cord-132120-u5s5heqm 244 29 . . . cord-132120-u5s5heqm 245 1 Unfortunately unfortunately RB cord-132120-u5s5heqm 245 2 the the DT cord-132120-u5s5heqm 245 3 number number NN cord-132120-u5s5heqm 245 4 of of IN cord-132120-u5s5heqm 245 5 individuals individual NNS cord-132120-u5s5heqm 245 6 susceptible susceptible JJ cord-132120-u5s5heqm 245 7 on on IN cord-132120-u5s5heqm 245 8 day day NN cord-132120-u5s5heqm 245 9 t t NN cord-132120-u5s5heqm 245 10 is be VBZ cord-132120-u5s5heqm 245 11 unknown unknown JJ cord-132120-u5s5heqm 245 12 . . . cord-132120-u5s5heqm 246 1 Here here RB cord-132120-u5s5heqm 246 2 , , , cord-132120-u5s5heqm 246 3 we -PRON- PRP cord-132120-u5s5heqm 246 4 assume assume VBP cord-132120-u5s5heqm 246 5 that that IN cord-132120-u5s5heqm 246 6 R r NN cord-132120-u5s5heqm 246 7 t t NN cord-132120-u5s5heqm 246 8 = = SYM cord-132120-u5s5heqm 246 9 1 1 CD cord-132120-u5s5heqm 246 10 + + SYM cord-132120-u5s5heqm 246 11 1 1 CD cord-132120-u5s5heqm 246 12 γ γ NN cord-132120-u5s5heqm 246 13 log log NN cord-132120-u5s5heqm 246 14 ( ( -LRB- cord-132120-u5s5heqm 246 15 ȳ ȳ NN cord-132120-u5s5heqm 246 16 t t NNP cord-132120-u5s5heqm 246 17 /ȳ /ȳ NNP cord-132120-u5s5heqm 246 18 t−1 t−1 NN cord-132120-u5s5heqm 246 19 ) ) -RRB- cord-132120-u5s5heqm 246 20 is be VBZ cord-132120-u5s5heqm 246 21 the the DT cord-132120-u5s5heqm 246 22 estimated estimated JJ cord-132120-u5s5heqm 246 23 effective effective JJ cord-132120-u5s5heqm 246 24 reproduction reproduction NN cord-132120-u5s5heqm 246 25 number number NN cord-132120-u5s5heqm 246 26 on on IN cord-132120-u5s5heqm 246 27 day day NN cord-132120-u5s5heqm 246 28 t. t. NNP cord-132120-u5s5heqm 247 1 This this DT cord-132120-u5s5heqm 247 2 estimator estimator NN cord-132120-u5s5heqm 247 3 adjusts adjust VBZ cord-132120-u5s5heqm 247 4 for for IN cord-132120-u5s5heqm 247 5 sample sample NN cord-132120-u5s5heqm 247 6 size size NN cord-132120-u5s5heqm 247 7 variation variation NN cord-132120-u5s5heqm 247 8 across across IN cord-132120-u5s5heqm 247 9 days day NNS cord-132120-u5s5heqm 247 10 but but CC cord-132120-u5s5heqm 247 11 not not RB cord-132120-u5s5heqm 247 12 the the DT cord-132120-u5s5heqm 247 13 varying vary VBG cord-132120-u5s5heqm 247 14 population population NN cord-132120-u5s5heqm 247 15 size size NN cord-132120-u5s5heqm 247 16 . . . cord-132120-u5s5heqm 248 1 The the DT cord-132120-u5s5heqm 248 2 estimator estimator NN cord-132120-u5s5heqm 248 3 is be VBZ cord-132120-u5s5heqm 248 4 close close JJ cord-132120-u5s5heqm 248 5 in in IN cord-132120-u5s5heqm 248 6 spirit spirit NN cord-132120-u5s5heqm 248 7 to to IN cord-132120-u5s5heqm 248 8 the the DT cord-132120-u5s5heqm 248 9 estimator estimator NN cord-132120-u5s5heqm 248 10 derived derive VBN cord-132120-u5s5heqm 248 11 under under IN cord-132120-u5s5heqm 248 12 assuming assume VBG cord-132120-u5s5heqm 248 13 the the DT cord-132120-u5s5heqm 248 14 process process NN cord-132120-u5s5heqm 248 15 is be VBZ cord-132120-u5s5heqm 248 16 fully fully RB cord-132120-u5s5heqm 248 17 observed observe VBN cord-132120-u5s5heqm 248 18 . . . cord-132120-u5s5heqm 249 1 Similar similar JJ cord-132120-u5s5heqm 249 2 to to IN cord-132120-u5s5heqm 249 3 Section section NN cord-132120-u5s5heqm 249 4 2.2 2.2 CD cord-132120-u5s5heqm 249 5 , , , cord-132120-u5s5heqm 249 6 the the DT cord-132120-u5s5heqm 249 7 proxy proxy NN cord-132120-u5s5heqm 249 8 has have VBZ cord-132120-u5s5heqm 249 9 error error NN cord-132120-u5s5heqm 249 10 in in IN cord-132120-u5s5heqm 249 11 both both DT cord-132120-u5s5heqm 249 12 numerator numerator NN cord-132120-u5s5heqm 249 13 and and CC cord-132120-u5s5heqm 249 14 denominator denominator NN cord-132120-u5s5heqm 249 15 that that WDT cord-132120-u5s5heqm 249 16 may may MD cord-132120-u5s5heqm 249 17 cause cause VB cord-132120-u5s5heqm 249 18 issues issue NNS cord-132120-u5s5heqm 249 19 . . . cord-132120-u5s5heqm 250 1 We -PRON- PRP cord-132120-u5s5heqm 250 2 again again RB cord-132120-u5s5heqm 250 3 wish wish VBP cord-132120-u5s5heqm 250 4 to to TO cord-132120-u5s5heqm 250 5 express express VB cord-132120-u5s5heqm 250 6 the the DT cord-132120-u5s5heqm 250 7 statistical statistical JJ cord-132120-u5s5heqm 250 8 error error NN cord-132120-u5s5heqm 250 9 ofR ofR VBN cord-132120-u5s5heqm 250 10 t t NN cord-132120-u5s5heqm 250 11 − − NN cord-132120-u5s5heqm 250 12 R r NN cord-132120-u5s5heqm 250 13 t t NN cord-132120-u5s5heqm 250 14 in in IN cord-132120-u5s5heqm 250 15 useful useful JJ cord-132120-u5s5heqm 250 16 terms term NNS cord-132120-u5s5heqm 250 17 . . . cord-132120-u5s5heqm 251 1 We -PRON- PRP cord-132120-u5s5heqm 251 2 can can MD cord-132120-u5s5heqm 251 3 re re VB cord-132120-u5s5heqm 251 4 - - VB cord-132120-u5s5heqm 251 5 arrange arrange VB cord-132120-u5s5heqm 251 6 the the DT cord-132120-u5s5heqm 251 7 error error NN cord-132120-u5s5heqm 251 8 decomposition decomposition NN cord-132120-u5s5heqm 251 9 from from IN cord-132120-u5s5heqm 251 10 Section section NN cord-132120-u5s5heqm 251 11 2.2 2.2 CD cord-132120-u5s5heqm 251 12 to to TO cord-132120-u5s5heqm 251 13 show show VB cord-132120-u5s5heqm 251 14 that that IN cord-132120-u5s5heqm 251 15 this this DT cord-132120-u5s5heqm 251 16 error error NN cord-132120-u5s5heqm 251 17 is be VBZ cord-132120-u5s5heqm 251 18 given give VBN cord-132120-u5s5heqm 251 19 by by IN cord-132120-u5s5heqm 252 1 So so RB cord-132120-u5s5heqm 252 2 here here RB cord-132120-u5s5heqm 252 3 we -PRON- PRP cord-132120-u5s5heqm 252 4 see see VBP cord-132120-u5s5heqm 252 5 the the DT cord-132120-u5s5heqm 252 6 exact exact JJ cord-132120-u5s5heqm 252 7 same same JJ cord-132120-u5s5heqm 252 8 trade trade NN cord-132120-u5s5heqm 252 9 - - HYPH cord-132120-u5s5heqm 252 10 off off NN cord-132120-u5s5heqm 252 11 as as IN cord-132120-u5s5heqm 252 12 with with IN cord-132120-u5s5heqm 252 13 the the DT cord-132120-u5s5heqm 252 14 rates rate NNS cord-132120-u5s5heqm 252 15 but but CC cord-132120-u5s5heqm 252 16 on on IN cord-132120-u5s5heqm 252 17 the the DT cord-132120-u5s5heqm 252 18 logarithmic logarithmic JJ cord-132120-u5s5heqm 252 19 scale scale NN cord-132120-u5s5heqm 252 20 . . . cord-132120-u5s5heqm 253 1 For for IN cord-132120-u5s5heqm 253 2 small small JJ cord-132120-u5s5heqm 253 3 values value NNS cord-132120-u5s5heqm 253 4 of of IN cord-132120-u5s5heqm 253 5 x x SYM cord-132120-u5s5heqm 253 6 , , , cord-132120-u5s5heqm 253 7 we -PRON- PRP cord-132120-u5s5heqm 253 8 have have VBP cord-132120-u5s5heqm 253 9 log(1 log(1 VBN cord-132120-u5s5heqm 254 1 + + CC cord-132120-u5s5heqm 255 1 x x LS cord-132120-u5s5heqm 255 2 ) ) -RRB- cord-132120-u5s5heqm 256 1 = = NFP cord-132120-u5s5heqm 257 1 x x LS cord-132120-u5s5heqm 258 1 and and CC cord-132120-u5s5heqm 258 2 so so RB cord-132120-u5s5heqm 258 3 the the DT cord-132120-u5s5heqm 258 4 biases bias NNS cord-132120-u5s5heqm 258 5 are be VBP cord-132120-u5s5heqm 258 6 similar similar JJ cord-132120-u5s5heqm 258 7 . . . cord-132120-u5s5heqm 259 1 However however RB cord-132120-u5s5heqm 259 2 , , , cord-132120-u5s5heqm 259 3 the the DT cord-132120-u5s5heqm 259 4 error error NN cord-132120-u5s5heqm 259 5 is be VBZ cord-132120-u5s5heqm 259 6 no no RB cord-132120-u5s5heqm 259 7 longer long RBR cord-132120-u5s5heqm 259 8 scaled scale VBN cord-132120-u5s5heqm 259 9 by by IN cord-132120-u5s5heqm 259 10 the the DT cord-132120-u5s5heqm 259 11 rate rate NN cord-132120-u5s5heqm 259 12 of of IN cord-132120-u5s5heqm 259 13 change change NN cord-132120-u5s5heqm 259 14 in in IN cord-132120-u5s5heqm 259 15 prevalenceȲ prevalenceȲ NNP cord-132120-u5s5heqm 259 16 2 2 CD cord-132120-u5s5heqm 259 17 /Ȳ /ȳ NN cord-132120-u5s5heqm 259 18 1 1 CD cord-132120-u5s5heqm 259 19 . . . cord-132120-u5s5heqm 260 1 Instead instead RB cord-132120-u5s5heqm 260 2 the the DT cord-132120-u5s5heqm 260 3 error error NN cord-132120-u5s5heqm 260 4 is be VBZ cord-132120-u5s5heqm 260 5 scaled scale VBN cord-132120-u5s5heqm 260 6 by by IN cord-132120-u5s5heqm 260 7 the the DT cord-132120-u5s5heqm 260 8 serial serial JJ cord-132120-u5s5heqm 260 9 interval interval NN cord-132120-u5s5heqm 260 10 γ γ NNP cord-132120-u5s5heqm 260 11 −1 −1 NNP cord-132120-u5s5heqm 260 12 = = SYM cord-132120-u5s5heqm 260 13 1/7 1/7 CD cord-132120-u5s5heqm 260 14 . . . cord-132120-u5s5heqm 261 1 Moreover moreover RB cord-132120-u5s5heqm 261 2 , , , cord-132120-u5s5heqm 261 3 the the DT cord-132120-u5s5heqm 261 4 error error NN cord-132120-u5s5heqm 261 5 depends depend VBZ cord-132120-u5s5heqm 261 6 not not RB cord-132120-u5s5heqm 261 7 on on IN cord-132120-u5s5heqm 261 8 aggregate aggregate JJ cord-132120-u5s5heqm 261 9 prevalenceȲ prevalenceȲ NNP cord-132120-u5s5heqm 261 10 t t NN cord-132120-u5s5heqm 261 11 but but CC cord-132120-u5s5heqm 261 12 fraction fraction NN cord-132120-u5s5heqm 261 13 of of IN cord-132120-u5s5heqm 261 14 new new JJ cord-132120-u5s5heqm 261 15 casesK casesK NNP cord-132120-u5s5heqm 261 16 t t NN cord-132120-u5s5heqm 261 17 . . . cord-132120-u5s5heqm 262 1 The the DT cord-132120-u5s5heqm 262 2 final final JJ cord-132120-u5s5heqm 262 3 term term NN cord-132120-u5s5heqm 262 4 is be VBZ cord-132120-u5s5heqm 262 5 the the DT cord-132120-u5s5heqm 262 6 error error NN cord-132120-u5s5heqm 262 7 due due IN cord-132120-u5s5heqm 262 8 to to IN cord-132120-u5s5heqm 262 9 varying vary VBG cord-132120-u5s5heqm 262 10 population population NN cord-132120-u5s5heqm 262 11 sizes size NNS cord-132120-u5s5heqm 262 12 . . . cord-132120-u5s5heqm 263 1 Since since IN cord-132120-u5s5heqm 263 2 S S NNP cord-132120-u5s5heqm 263 3 t t NN cord-132120-u5s5heqm 263 4 ≤ ≤ NN cord-132120-u5s5heqm 263 5 S S NNP cord-132120-u5s5heqm 263 6 t−1 t−1 NN cord-132120-u5s5heqm 263 7 , , , cord-132120-u5s5heqm 263 8 the the DT cord-132120-u5s5heqm 263 9 final final JJ cord-132120-u5s5heqm 263 10 term term NN cord-132120-u5s5heqm 263 11 − − NNP cord-132120-u5s5heqm 263 12 log(S log(S NNP cord-132120-u5s5heqm 263 13 t t NNP cord-132120-u5s5heqm 263 14 /S /S . cord-132120-u5s5heqm 263 15 t−1 t−1 NNP cord-132120-u5s5heqm 263 16 ) ) -RRB- cord-132120-u5s5heqm 263 17 ≥ ≥ CD cord-132120-u5s5heqm 263 18 0 0 CD cord-132120-u5s5heqm 263 19 . . . cord-132120-u5s5heqm 264 1 Figure figure NN cord-132120-u5s5heqm 264 2 3b 3b CD cord-132120-u5s5heqm 264 3 displays display VBZ cord-132120-u5s5heqm 264 4 the the DT cord-132120-u5s5heqm 264 5 bias bias NN cord-132120-u5s5heqm 264 6 for for IN cord-132120-u5s5heqm 264 7 the the DT cord-132120-u5s5heqm 264 8 effective effective JJ cord-132120-u5s5heqm 264 9 reproductive reproductive JJ cord-132120-u5s5heqm 264 10 number number NN cord-132120-u5s5heqm 264 11 and and CC cord-132120-u5s5heqm 264 12 how how WRB cord-132120-u5s5heqm 264 13 it -PRON- PRP cord-132120-u5s5heqm 264 14 is be VBZ cord-132120-u5s5heqm 264 15 impacted impact VBN cord-132120-u5s5heqm 264 16 by by IN cord-132120-u5s5heqm 264 17 the the DT cord-132120-u5s5heqm 264 18 relative relative JJ cord-132120-u5s5heqm 264 19 sampling sampling NN cord-132120-u5s5heqm 264 20 fraction fraction NN cord-132120-u5s5heqm 264 21 . . . cord-132120-u5s5heqm 265 1 Here here RB cord-132120-u5s5heqm 265 2 for for IN cord-132120-u5s5heqm 265 3 simplicity simplicity NN cord-132120-u5s5heqm 265 4 , , , cord-132120-u5s5heqm 265 5 we -PRON- PRP cord-132120-u5s5heqm 265 6 assume assume VBP cord-132120-u5s5heqm 265 7 the the DT cord-132120-u5s5heqm 265 8 fraction fraction NN cord-132120-u5s5heqm 265 9 of of IN cord-132120-u5s5heqm 265 10 the the DT cord-132120-u5s5heqm 265 11 population population NN cord-132120-u5s5heqm 265 12 that that WDT cord-132120-u5s5heqm 265 13 is be VBZ cord-132120-u5s5heqm 265 14 susceptible susceptible JJ cord-132120-u5s5heqm 265 15 remains remain VBZ cord-132120-u5s5heqm 265 16 large large JJ cord-132120-u5s5heqm 265 17 and and CC cord-132120-u5s5heqm 265 18 near near IN cord-132120-u5s5heqm 265 19 the the DT cord-132120-u5s5heqm 265 20 total total JJ cord-132120-u5s5heqm 265 21 population population NN cord-132120-u5s5heqm 265 22 size size NN cord-132120-u5s5heqm 265 23 . . . cord-132120-u5s5heqm 266 1 Under under IN cord-132120-u5s5heqm 266 2 these these DT cord-132120-u5s5heqm 266 3 assumption assumption NN cord-132120-u5s5heqm 266 4 , , , cord-132120-u5s5heqm 266 5 the the DT cord-132120-u5s5heqm 266 6 potential potential JJ cord-132120-u5s5heqm 266 7 bias bias NN cord-132120-u5s5heqm 266 8 is be VBZ cord-132120-u5s5heqm 266 9 similar similar JJ cord-132120-u5s5heqm 266 10 to to IN cord-132120-u5s5heqm 266 11 that that DT cord-132120-u5s5heqm 266 12 for for IN cord-132120-u5s5heqm 266 13 the the DT cord-132120-u5s5heqm 266 14 ratio ratio NN cord-132120-u5s5heqm 266 15 estimator estimator NN cord-132120-u5s5heqm 266 16 adjusted adjust VBN cord-132120-u5s5heqm 266 17 to to TO cord-132120-u5s5heqm 266 18 be be VB cord-132120-u5s5heqm 266 19 on on IN cord-132120-u5s5heqm 266 20 the the DT cord-132120-u5s5heqm 266 21 logarithm logarithm NN cord-132120-u5s5heqm 266 22 scale scale NN cord-132120-u5s5heqm 266 23 . . . cord-132120-u5s5heqm 267 1 Changes change NNS cord-132120-u5s5heqm 267 2 to to IN cord-132120-u5s5heqm 267 3 this this DT cord-132120-u5s5heqm 267 4 assumption assumption NN cord-132120-u5s5heqm 267 5 can can MD cord-132120-u5s5heqm 267 6 impact impact VB cord-132120-u5s5heqm 267 7 the the DT cord-132120-u5s5heqm 267 8 potential potential JJ cord-132120-u5s5heqm 267 9 bias bias NN cord-132120-u5s5heqm 267 10 . . . cord-132120-u5s5heqm 268 1 The the DT cord-132120-u5s5heqm 268 2 key key JJ cord-132120-u5s5heqm 268 3 difference difference NN cord-132120-u5s5heqm 268 4 between between IN cord-132120-u5s5heqm 268 5 Figure figure NN cord-132120-u5s5heqm 268 6 3a 3a NN cord-132120-u5s5heqm 268 7 and and CC cord-132120-u5s5heqm 268 8 Figure Figure NNP cord-132120-u5s5heqm 268 9 3b 3b CD cord-132120-u5s5heqm 268 10 is be VBZ cord-132120-u5s5heqm 268 11 that that IN cord-132120-u5s5heqm 268 12 prevalence prevalence NN cord-132120-u5s5heqm 268 13 depends depend VBZ cord-132120-u5s5heqm 268 14 on on IN cord-132120-u5s5heqm 268 15 the the DT cord-132120-u5s5heqm 268 16 fraction fraction NN cord-132120-u5s5heqm 268 17 of of IN cord-132120-u5s5heqm 268 18 the the DT cord-132120-u5s5heqm 268 19 population population NN cord-132120-u5s5heqm 268 20 infected infect VBN cord-132120-u5s5heqm 268 21 at at IN cord-132120-u5s5heqm 268 22 time time NN cord-132120-u5s5heqm 268 23 t t NN cord-132120-u5s5heqm 268 24 whileR whileR NNP cord-132120-u5s5heqm 268 25 t t NN cord-132120-u5s5heqm 268 26 depends depend VBZ cord-132120-u5s5heqm 268 27 on on IN cord-132120-u5s5heqm 268 28 the the DT cord-132120-u5s5heqm 268 29 fraction fraction NN cord-132120-u5s5heqm 268 30 of of IN cord-132120-u5s5heqm 268 31 new new JJ cord-132120-u5s5heqm 268 32 cases case NNS cord-132120-u5s5heqm 268 33 in in IN cord-132120-u5s5heqm 268 34 the the DT cord-132120-u5s5heqm 268 35 population population NN cord-132120-u5s5heqm 268 36 . . . cord-132120-u5s5heqm 269 1 This this DT cord-132120-u5s5heqm 269 2 leads lead VBZ cord-132120-u5s5heqm 269 3 to to IN cord-132120-u5s5heqm 269 4 differences difference NNS cord-132120-u5s5heqm 269 5 in in IN cord-132120-u5s5heqm 269 6 when when WRB cord-132120-u5s5heqm 269 7 the the DT cord-132120-u5s5heqm 269 8 bias bias NN cord-132120-u5s5heqm 269 9 is be VBZ cord-132120-u5s5heqm 269 10 most most RBS cord-132120-u5s5heqm 269 11 pronounced pronounced JJ cord-132120-u5s5heqm 269 12 . . . cord-132120-u5s5heqm 270 1 Here here RB cord-132120-u5s5heqm 270 2 we -PRON- PRP cord-132120-u5s5heqm 270 3 show show VBP cord-132120-u5s5heqm 270 4 how how WRB cord-132120-u5s5heqm 270 5 selection selection NN cord-132120-u5s5heqm 270 6 bias bias NN cord-132120-u5s5heqm 270 7 and and CC cord-132120-u5s5heqm 270 8 measurement measurement NN cord-132120-u5s5heqm 270 9 error error NN cord-132120-u5s5heqm 270 10 can can MD cord-132120-u5s5heqm 270 11 creep creep VB cord-132120-u5s5heqm 270 12 into into IN cord-132120-u5s5heqm 270 13 clinical clinical JJ cord-132120-u5s5heqm 270 14 trial trial NN cord-132120-u5s5heqm 270 15 analysis analysis NN cord-132120-u5s5heqm 270 16 . . . cord-132120-u5s5heqm 271 1 The the DT cord-132120-u5s5heqm 271 2 key key JJ cord-132120-u5s5heqm 271 3 concern concern NN cord-132120-u5s5heqm 271 4 is be VBZ cord-132120-u5s5heqm 271 5 whether whether IN cord-132120-u5s5heqm 271 6 clinical clinical JJ cord-132120-u5s5heqm 271 7 trials trial NNS cord-132120-u5s5heqm 271 8 on on IN cord-132120-u5s5heqm 271 9 COVID-19 COVID-19 NNP cord-132120-u5s5heqm 271 10 recruit recruit NN cord-132120-u5s5heqm 271 11 from from IN cord-132120-u5s5heqm 271 12 the the DT cord-132120-u5s5heqm 271 13 pool pool NN cord-132120-u5s5heqm 271 14 of of IN cord-132120-u5s5heqm 271 15 individuals individual NNS cord-132120-u5s5heqm 271 16 who who WP cord-132120-u5s5heqm 271 17 have have VBP cord-132120-u5s5heqm 271 18 tested test VBN cord-132120-u5s5heqm 271 19 positive positive JJ cord-132120-u5s5heqm 271 20 for for IN cord-132120-u5s5heqm 271 21 COVID-19 covid-19 NN cord-132120-u5s5heqm 271 22 or or CC cord-132120-u5s5heqm 271 23 whether whether IN cord-132120-u5s5heqm 271 24 they -PRON- PRP cord-132120-u5s5heqm 271 25 sample sample VBP cord-132120-u5s5heqm 271 26 randomly randomly RB cord-132120-u5s5heqm 271 27 from from IN cord-132120-u5s5heqm 271 28 the the DT cord-132120-u5s5heqm 271 29 population population NN cord-132120-u5s5heqm 271 30 , , , cord-132120-u5s5heqm 271 31 test test NN cord-132120-u5s5heqm 271 32 , , , cord-132120-u5s5heqm 271 33 and and CC cord-132120-u5s5heqm 271 34 then then RB cord-132120-u5s5heqm 271 35 recruit recruit VB cord-132120-u5s5heqm 271 36 from from IN cord-132120-u5s5heqm 271 37 this this DT cord-132120-u5s5heqm 271 38 subset subset NN cord-132120-u5s5heqm 271 39 of of IN cord-132120-u5s5heqm 271 40 tested test VBN cord-132120-u5s5heqm 271 41 individuals individual NNS cord-132120-u5s5heqm 271 42 . . . cord-132120-u5s5heqm 272 1 To to TO cord-132120-u5s5heqm 272 2 see see VB cord-132120-u5s5heqm 272 3 this this DT cord-132120-u5s5heqm 272 4 issue issue NN cord-132120-u5s5heqm 272 5 , , , cord-132120-u5s5heqm 272 6 suppose suppose VB cord-132120-u5s5heqm 272 7 we -PRON- PRP cord-132120-u5s5heqm 272 8 have have VBP cord-132120-u5s5heqm 272 9 an an DT cord-132120-u5s5heqm 272 10 outcome outcome NN cord-132120-u5s5heqm 272 11 Y y NN cord-132120-u5s5heqm 272 12 , , , cord-132120-u5s5heqm 272 13 a a DT cord-132120-u5s5heqm 272 14 treatment treatment NN cord-132120-u5s5heqm 272 15 A a NN cord-132120-u5s5heqm 272 16 and and CC cord-132120-u5s5heqm 272 17 an an DT cord-132120-u5s5heqm 272 18 unobserved unobserved JJ cord-132120-u5s5heqm 272 19 variable variable NN cord-132120-u5s5heqm 272 20 U u NN cord-132120-u5s5heqm 272 21 . . . cord-132120-u5s5heqm 273 1 Suppose suppose VB cord-132120-u5s5heqm 273 2 treatment treatment NN cord-132120-u5s5heqm 273 3 is be VBZ cord-132120-u5s5heqm 273 4 assigned assign VBN cord-132120-u5s5heqm 273 5 at at IN cord-132120-u5s5heqm 273 6 random random JJ cord-132120-u5s5heqm 273 7 , , , cord-132120-u5s5heqm 273 8 i.e. i.e. FW cord-132120-u5s5heqm 273 9 , , , cord-132120-u5s5heqm 273 10 A a NN cord-132120-u5s5heqm 273 11 = = SYM cord-132120-u5s5heqm 273 12 1 1 CD cord-132120-u5s5heqm 273 13 with with IN cord-132120-u5s5heqm 273 14 probability probability NN cord-132120-u5s5heqm 273 15 50 50 CD cord-132120-u5s5heqm 273 16 % % NN cord-132120-u5s5heqm 273 17 and and CC cord-132120-u5s5heqm 273 18 A a NN cord-132120-u5s5heqm 273 19 = = SYM cord-132120-u5s5heqm 273 20 0 0 CD cord-132120-u5s5heqm 273 21 with with IN cord-132120-u5s5heqm 273 22 probability probability NN cord-132120-u5s5heqm 273 23 50 50 CD cord-132120-u5s5heqm 273 24 % % NN cord-132120-u5s5heqm 273 25 . . . cord-132120-u5s5heqm 274 1 Suppose suppose VB cord-132120-u5s5heqm 274 2 the the DT cord-132120-u5s5heqm 274 3 conditional conditional JJ cord-132120-u5s5heqm 274 4 mean mean NN cord-132120-u5s5heqm 274 5 of of IN cord-132120-u5s5heqm 274 6 the the DT cord-132120-u5s5heqm 274 7 outcome outcome NN cord-132120-u5s5heqm 274 8 satisfies satisfy VBZ cord-132120-u5s5heqm 274 9 E(Y E(Y NNP cord-132120-u5s5heqm 274 10 | | NNP cord-132120-u5s5heqm 274 11 U U NNP cord-132120-u5s5heqm 274 12 , , , cord-132120-u5s5heqm 274 13 A a NN cord-132120-u5s5heqm 274 14 ) ) -RRB- cord-132120-u5s5heqm 274 15 = = NFP cord-132120-u5s5heqm 275 1 β β NN cord-132120-u5s5heqm 275 2 0 0 CD cord-132120-u5s5heqm 275 3 + + CD cord-132120-u5s5heqm 276 1 β β NN cord-132120-u5s5heqm 276 2 1 1 CD cord-132120-u5s5heqm 276 3 A a NN cord-132120-u5s5heqm 276 4 + + NN cord-132120-u5s5heqm 277 1 β β NN cord-132120-u5s5heqm 277 2 2 2 CD cord-132120-u5s5heqm 277 3 U U NNP cord-132120-u5s5heqm 277 4 + + CC cord-132120-u5s5heqm 277 5 β β NN cord-132120-u5s5heqm 277 6 3 3 CD cord-132120-u5s5heqm 277 7 AU AU NNP cord-132120-u5s5heqm 277 8 . . . cord-132120-u5s5heqm 278 1 Typically typically RB cord-132120-u5s5heqm 278 2 , , , cord-132120-u5s5heqm 278 3 we -PRON- PRP cord-132120-u5s5heqm 278 4 are be VBP cord-132120-u5s5heqm 278 5 interested interested JJ cord-132120-u5s5heqm 278 6 in in IN cord-132120-u5s5heqm 278 7 the the DT cord-132120-u5s5heqm 278 8 causal causal JJ cord-132120-u5s5heqm 278 9 effect effect NN cord-132120-u5s5heqm 278 10 of of IN cord-132120-u5s5heqm 278 11 A a NN cord-132120-u5s5heqm 278 12 on on IN cord-132120-u5s5heqm 278 13 Y Y NNP cord-132120-u5s5heqm 278 14 . . . cord-132120-u5s5heqm 279 1 In in IN cord-132120-u5s5heqm 279 2 counterfactual counterfactual JJ cord-132120-u5s5heqm 279 3 language language NN cord-132120-u5s5heqm 279 4 , , , cord-132120-u5s5heqm 279 5 Even even RB cord-132120-u5s5heqm 279 6 in in IN cord-132120-u5s5heqm 279 7 a a DT cord-132120-u5s5heqm 279 8 randomized randomized JJ cord-132120-u5s5heqm 279 9 experiment experiment NN cord-132120-u5s5heqm 279 10 , , , cord-132120-u5s5heqm 279 11 the the DT cord-132120-u5s5heqm 279 12 question question NN cord-132120-u5s5heqm 279 13 is be VBZ cord-132120-u5s5heqm 279 14 what what WP cord-132120-u5s5heqm 279 15 the the DT cord-132120-u5s5heqm 279 16 correct correct JJ cord-132120-u5s5heqm 279 17 value value NN cord-132120-u5s5heqm 279 18 for for IN cord-132120-u5s5heqm 279 19 E(U e(u NN cord-132120-u5s5heqm 279 20 ) ) -RRB- cord-132120-u5s5heqm 279 21 is be VBZ cord-132120-u5s5heqm 279 22 . . . cord-132120-u5s5heqm 280 1 For for IN cord-132120-u5s5heqm 280 2 COVID-19 COVID-19 NNP cord-132120-u5s5heqm 280 3 , , , cord-132120-u5s5heqm 280 4 the the DT cord-132120-u5s5heqm 280 5 value value NN cord-132120-u5s5heqm 280 6 of of IN cord-132120-u5s5heqm 280 7 interest interest NN cord-132120-u5s5heqm 280 8 is be VBZ cord-132120-u5s5heqm 280 9 the the DT cord-132120-u5s5heqm 280 10 expected expect VBN cord-132120-u5s5heqm 280 11 value value NN cord-132120-u5s5heqm 280 12 of of IN cord-132120-u5s5heqm 280 13 U u NN cord-132120-u5s5heqm 280 14 in in IN cord-132120-u5s5heqm 280 15 the the DT cord-132120-u5s5heqm 280 16 population population NN cord-132120-u5s5heqm 280 17 of of IN cord-132120-u5s5heqm 280 18 COVID-19 covid-19 JJ cord-132120-u5s5heqm 280 19 positive positive JJ cord-132120-u5s5heqm 280 20 individuals individual NNS cord-132120-u5s5heqm 280 21 . . . cord-132120-u5s5heqm 281 1 Due due IN cord-132120-u5s5heqm 281 2 to to IN cord-132120-u5s5heqm 281 3 selection selection NN cord-132120-u5s5heqm 281 4 bias bias NN cord-132120-u5s5heqm 281 5 , , , cord-132120-u5s5heqm 281 6 however however RB cord-132120-u5s5heqm 281 7 , , , cord-132120-u5s5heqm 281 8 the the DT cord-132120-u5s5heqm 281 9 bias bias NN cord-132120-u5s5heqm 281 10 in in IN cord-132120-u5s5heqm 281 11 this this DT cord-132120-u5s5heqm 281 12 marginal marginal JJ cord-132120-u5s5heqm 281 13 treatment treatment NN cord-132120-u5s5heqm 281 14 effect effect NN cord-132120-u5s5heqm 281 15 compared compare VBN cord-132120-u5s5heqm 281 16 to to IN cord-132120-u5s5heqm 281 17 the the DT cord-132120-u5s5heqm 281 18 true true JJ cord-132120-u5s5heqm 281 19 marginal marginal JJ cord-132120-u5s5heqm 281 20 effect effect NN cord-132120-u5s5heqm 281 21 of of IN cord-132120-u5s5heqm 281 22 interest interest NN cord-132120-u5s5heqm 281 23 is be VBZ cord-132120-u5s5heqm 281 24 Selection Selection NNP cord-132120-u5s5heqm 281 25 bias bias NN cord-132120-u5s5heqm 281 26 then then RB cord-132120-u5s5heqm 281 27 leads lead VBZ cord-132120-u5s5heqm 281 28 to to IN cord-132120-u5s5heqm 281 29 the the DT cord-132120-u5s5heqm 281 30 estimated estimate VBN cord-132120-u5s5heqm 281 31 effect effect NN cord-132120-u5s5heqm 281 32 being be VBG cord-132120-u5s5heqm 281 33 biased bias VBN cord-132120-u5s5heqm 281 34 if if IN cord-132120-u5s5heqm 281 35 β β NN cord-132120-u5s5heqm 281 36 1 1 CD cord-132120-u5s5heqm 281 37 = = SYM cord-132120-u5s5heqm 281 38 0 0 CD cord-132120-u5s5heqm 281 39 . . . cord-132120-u5s5heqm 282 1 Directionality directionality NN cord-132120-u5s5heqm 282 2 of of IN cord-132120-u5s5heqm 282 3 the the DT cord-132120-u5s5heqm 282 4 bias bias NN cord-132120-u5s5heqm 282 5 will will MD cord-132120-u5s5heqm 282 6 depend depend VB cord-132120-u5s5heqm 282 7 on on IN cord-132120-u5s5heqm 282 8 the the DT cord-132120-u5s5heqm 282 9 relationship relationship NN cord-132120-u5s5heqm 282 10 between between IN cord-132120-u5s5heqm 282 11 U U NNP cord-132120-u5s5heqm 282 12 and and CC cord-132120-u5s5heqm 282 13 Y Y NNP cord-132120-u5s5heqm 282 14 . . . cord-132120-u5s5heqm 283 1 If if IN cord-132120-u5s5heqm 283 2 U U NNP cord-132120-u5s5heqm 283 3 is be VBZ cord-132120-u5s5heqm 283 4 a a DT cord-132120-u5s5heqm 283 5 measure measure NN cord-132120-u5s5heqm 283 6 of of IN cord-132120-u5s5heqm 283 7 disease disease NN cord-132120-u5s5heqm 283 8 severity severity NN cord-132120-u5s5heqm 283 9 , , , cord-132120-u5s5heqm 283 10 then then RB cord-132120-u5s5heqm 283 11 it -PRON- PRP cord-132120-u5s5heqm 283 12 could could MD cord-132120-u5s5heqm 283 13 be be VB cord-132120-u5s5heqm 283 14 expected expect VBN cord-132120-u5s5heqm 283 15 to to TO cord-132120-u5s5heqm 283 16 see see VB cord-132120-u5s5heqm 283 17 β β NN cord-132120-u5s5heqm 283 18 1 1 CD cord-132120-u5s5heqm 283 19 > > XX cord-132120-u5s5heqm 283 20 0 0 CD cord-132120-u5s5heqm 284 1 and and CC cord-132120-u5s5heqm 284 2 E e NN cord-132120-u5s5heqm 284 3 I -PRON- PRP cord-132120-u5s5heqm 284 4 [ [ -LRB- cord-132120-u5s5heqm 284 5 ρ ρ NFP cord-132120-u5s5heqm 284 6 I -PRON- PRP cord-132120-u5s5heqm 284 7 , , , cord-132120-u5s5heqm 284 8 U u NN cord-132120-u5s5heqm 284 9 ] ] -RRB- cord-132120-u5s5heqm 284 10 > > XX cord-132120-u5s5heqm 284 11 0 0 NFP cord-132120-u5s5heqm 284 12 . . . cord-132120-u5s5heqm 285 1 In in IN cord-132120-u5s5heqm 285 2 such such JJ cord-132120-u5s5heqm 285 3 situations situation NNS cord-132120-u5s5heqm 285 4 , , , cord-132120-u5s5heqm 285 5 the the DT cord-132120-u5s5heqm 285 6 treatment treatment NN cord-132120-u5s5heqm 285 7 effect effect NN cord-132120-u5s5heqm 285 8 estimates estimate NNS cord-132120-u5s5heqm 285 9 will will MD cord-132120-u5s5heqm 285 10 tend tend VB cord-132120-u5s5heqm 285 11 to to TO cord-132120-u5s5heqm 285 12 be be VB cord-132120-u5s5heqm 285 13 overly overly RB cord-132120-u5s5heqm 285 14 optimistic optimistic JJ cord-132120-u5s5heqm 285 15 as as IN cord-132120-u5s5heqm 285 16 most most JJS cord-132120-u5s5heqm 285 17 individuals individual NNS cord-132120-u5s5heqm 285 18 recruited recruit VBN cord-132120-u5s5heqm 285 19 are be VBP cord-132120-u5s5heqm 285 20 potentially potentially RB cord-132120-u5s5heqm 285 21 higher high JJR cord-132120-u5s5heqm 285 22 on on IN cord-132120-u5s5heqm 285 23 the the DT cord-132120-u5s5heqm 285 24 severity severity NN cord-132120-u5s5heqm 285 25 index index NN cord-132120-u5s5heqm 285 26 than than IN cord-132120-u5s5heqm 285 27 the the DT cord-132120-u5s5heqm 285 28 population population NN cord-132120-u5s5heqm 285 29 average average JJ cord-132120-u5s5heqm 285 30 . . . cord-132120-u5s5heqm 286 1 Not not RB cord-132120-u5s5heqm 286 2 only only RB cord-132120-u5s5heqm 286 3 that that DT cord-132120-u5s5heqm 286 4 , , , cord-132120-u5s5heqm 286 5 but but CC cord-132120-u5s5heqm 286 6 for for IN cord-132120-u5s5heqm 286 7 fixed fix VBN cord-132120-u5s5heqm 286 8 data datum NNS cord-132120-u5s5heqm 286 9 quality quality NN cord-132120-u5s5heqm 286 10 , , , cord-132120-u5s5heqm 286 11 the the DT cord-132120-u5s5heqm 286 12 error error NN cord-132120-u5s5heqm 286 13 compared compare VBN cord-132120-u5s5heqm 286 14 to to IN cord-132120-u5s5heqm 286 15 SRS SRS NNP cord-132120-u5s5heqm 286 16 in in IN cord-132120-u5s5heqm 286 17 terms term NNS cord-132120-u5s5heqm 286 18 of of IN cord-132120-u5s5heqm 286 19 effect effect NN cord-132120-u5s5heqm 286 20 estimation estimation NN cord-132120-u5s5heqm 286 21 scales scale VBZ cord-132120-u5s5heqm 286 22 with with IN cord-132120-u5s5heqm 286 23 the the DT cord-132120-u5s5heqm 286 24 population population NN cord-132120-u5s5heqm 286 25 size size NN cord-132120-u5s5heqm 286 26 ( ( -LRB- cord-132120-u5s5heqm 286 27 i.e. i.e. FW cord-132120-u5s5heqm 286 28 , , , cord-132120-u5s5heqm 286 29 the the DT cord-132120-u5s5heqm 286 30 law law NN cord-132120-u5s5heqm 286 31 of of IN cord-132120-u5s5heqm 286 32 large large JJ cord-132120-u5s5heqm 286 33 populations population NNS cord-132120-u5s5heqm 286 34 ) ) -RRB- cord-132120-u5s5heqm 286 35 . . . cord-132120-u5s5heqm 287 1 Randomization randomization NN cord-132120-u5s5heqm 287 2 of of IN cord-132120-u5s5heqm 287 3 treatment treatment NN cord-132120-u5s5heqm 287 4 assignment assignment NN cord-132120-u5s5heqm 287 5 in in IN cord-132120-u5s5heqm 287 6 clinical clinical JJ cord-132120-u5s5heqm 287 7 trials trial NNS cord-132120-u5s5heqm 287 8 negates negate VBZ cord-132120-u5s5heqm 287 9 unobserved unobserved JJ cord-132120-u5s5heqm 287 10 confounders confounder NNS cord-132120-u5s5heqm 287 11 . . . cord-132120-u5s5heqm 288 1 This this DT cord-132120-u5s5heqm 288 2 , , , cord-132120-u5s5heqm 288 3 however however RB cord-132120-u5s5heqm 288 4 , , , cord-132120-u5s5heqm 288 5 does do VBZ cord-132120-u5s5heqm 288 6 not not RB cord-132120-u5s5heqm 288 7 negate negate VB cord-132120-u5s5heqm 288 8 effect effect NN cord-132120-u5s5heqm 288 9 modifiers modifier NNS cord-132120-u5s5heqm 288 10 . . . cord-132120-u5s5heqm 289 1 Therefore therefore RB cord-132120-u5s5heqm 289 2 , , , cord-132120-u5s5heqm 289 3 for for IN cord-132120-u5s5heqm 289 4 marginal marginal JJ cord-132120-u5s5heqm 289 5 treatment treatment NN cord-132120-u5s5heqm 289 6 effects effect NNS cord-132120-u5s5heqm 289 7 to to TO cord-132120-u5s5heqm 289 8 be be VB cord-132120-u5s5heqm 289 9 interpretable interpretable JJ cord-132120-u5s5heqm 289 10 , , , cord-132120-u5s5heqm 289 11 there there EX cord-132120-u5s5heqm 289 12 must must MD cord-132120-u5s5heqm 289 13 be be VB cord-132120-u5s5heqm 289 14 a a DT cord-132120-u5s5heqm 289 15 well well RB cord-132120-u5s5heqm 289 16 - - HYPH cord-132120-u5s5heqm 289 17 defined define VBN cord-132120-u5s5heqm 289 18 population population NN cord-132120-u5s5heqm 289 19 . . . cord-132120-u5s5heqm 290 1 Most most RBS cord-132120-u5s5heqm 290 2 often often RB cord-132120-u5s5heqm 290 3 , , , cord-132120-u5s5heqm 290 4 our -PRON- PRP$ cord-132120-u5s5heqm 290 5 main main JJ cord-132120-u5s5heqm 290 6 interest interest NN cord-132120-u5s5heqm 290 7 is be VBZ cord-132120-u5s5heqm 290 8 in in IN cord-132120-u5s5heqm 290 9 causal causal JJ cord-132120-u5s5heqm 290 10 effects effect NNS cord-132120-u5s5heqm 290 11 on on IN cord-132120-u5s5heqm 290 12 the the DT cord-132120-u5s5heqm 290 13 population population NN cord-132120-u5s5heqm 290 14 of of IN cord-132120-u5s5heqm 290 15 COVID-19 COVID-19 NNP cord-132120-u5s5heqm 290 16 positive positive JJ cord-132120-u5s5heqm 290 17 . . . cord-132120-u5s5heqm 291 1 Randomization randomization NN cord-132120-u5s5heqm 291 2 within within IN cord-132120-u5s5heqm 291 3 the the DT cord-132120-u5s5heqm 291 4 clinical clinical JJ cord-132120-u5s5heqm 291 5 trial trial NN cord-132120-u5s5heqm 291 6 design design NN cord-132120-u5s5heqm 291 7 yields yield VBZ cord-132120-u5s5heqm 291 8 internal internal JJ cord-132120-u5s5heqm 291 9 validity validity NN cord-132120-u5s5heqm 291 10 , , , cord-132120-u5s5heqm 291 11 but but CC cord-132120-u5s5heqm 291 12 we -PRON- PRP cord-132120-u5s5heqm 291 13 also also RB cord-132120-u5s5heqm 291 14 need need VBP cord-132120-u5s5heqm 291 15 external external JJ cord-132120-u5s5heqm 291 16 validity validity NN cord-132120-u5s5heqm 291 17 to to TO cord-132120-u5s5heqm 291 18 estimate estimate VB cord-132120-u5s5heqm 291 19 the the DT cord-132120-u5s5heqm 291 20 correct correct JJ cord-132120-u5s5heqm 291 21 marginal marginal JJ cord-132120-u5s5heqm 291 22 effect effect NN cord-132120-u5s5heqm 291 23 of of IN cord-132120-u5s5heqm 291 24 interest interest NN cord-132120-u5s5heqm 291 25 Keiding Keiding NNP cord-132120-u5s5heqm 291 26 and and CC cord-132120-u5s5heqm 291 27 Louis Louis NNP cord-132120-u5s5heqm 291 28 [ [ -LRB- cord-132120-u5s5heqm 291 29 2016 2016 CD cord-132120-u5s5heqm 291 30 ] ] -RRB- cord-132120-u5s5heqm 291 31 . . . cord-132120-u5s5heqm 292 1 So so RB cord-132120-u5s5heqm 292 2 far far RB cord-132120-u5s5heqm 292 3 we -PRON- PRP cord-132120-u5s5heqm 292 4 have have VBP cord-132120-u5s5heqm 292 5 focused focus VBN cord-132120-u5s5heqm 292 6 on on IN cord-132120-u5s5heqm 292 7 understanding understand VBG cord-132120-u5s5heqm 292 8 the the DT cord-132120-u5s5heqm 292 9 limitations limitation NNS cord-132120-u5s5heqm 292 10 of of IN cord-132120-u5s5heqm 292 11 using use VBG cord-132120-u5s5heqm 292 12 case case NN cord-132120-u5s5heqm 292 13 - - HYPH cord-132120-u5s5heqm 292 14 count count NN cord-132120-u5s5heqm 292 15 data datum NNS cord-132120-u5s5heqm 292 16 to to TO cord-132120-u5s5heqm 292 17 understand understand VB cord-132120-u5s5heqm 292 18 population population NN cord-132120-u5s5heqm 292 19 quantities quantity NNS cord-132120-u5s5heqm 292 20 of of IN cord-132120-u5s5heqm 292 21 interest interest NN cord-132120-u5s5heqm 292 22 for for IN cord-132120-u5s5heqm 292 23 a a DT cord-132120-u5s5heqm 292 24 single single JJ cord-132120-u5s5heqm 292 25 population population NN cord-132120-u5s5heqm 292 26 ( ( -LRB- cord-132120-u5s5heqm 292 27 i.e. i.e. FW cord-132120-u5s5heqm 292 28 , , , cord-132120-u5s5heqm 292 29 United United NNP cord-132120-u5s5heqm 292 30 States States NNP cord-132120-u5s5heqm 292 31 , , , cord-132120-u5s5heqm 292 32 Germany Germany NNP cord-132120-u5s5heqm 292 33 , , , cord-132120-u5s5heqm 292 34 France France NNP cord-132120-u5s5heqm 292 35 or or CC cord-132120-u5s5heqm 292 36 Michigan Michigan NNP cord-132120-u5s5heqm 292 37 , , , cord-132120-u5s5heqm 292 38 New New NNP cord-132120-u5s5heqm 292 39 York York NNP cord-132120-u5s5heqm 292 40 , , , cord-132120-u5s5heqm 292 41 London London NNP cord-132120-u5s5heqm 292 42 in in IN cord-132120-u5s5heqm 292 43 isolation isolation NN cord-132120-u5s5heqm 292 44 ) ) -RRB- cord-132120-u5s5heqm 292 45 at at IN cord-132120-u5s5heqm 292 46 a a DT cord-132120-u5s5heqm 292 47 single single JJ cord-132120-u5s5heqm 292 48 moment moment NN cord-132120-u5s5heqm 292 49 and and CC cord-132120-u5s5heqm 292 50 over over IN cord-132120-u5s5heqm 292 51 time time NN cord-132120-u5s5heqm 292 52 . . . cord-132120-u5s5heqm 293 1 Many many JJ cord-132120-u5s5heqm 293 2 are be VBP cord-132120-u5s5heqm 293 3 interested interested JJ cord-132120-u5s5heqm 293 4 in in IN cord-132120-u5s5heqm 293 5 cross cross JJ cord-132120-u5s5heqm 293 6 - - JJ cord-132120-u5s5heqm 293 7 population population JJ cord-132120-u5s5heqm 293 8 comparisons comparison NNS cord-132120-u5s5heqm 293 9 . . . cord-132120-u5s5heqm 294 1 Many many JJ cord-132120-u5s5heqm 294 2 pieces piece NNS cord-132120-u5s5heqm 294 3 in in IN cord-132120-u5s5heqm 294 4 the the DT cord-132120-u5s5heqm 294 5 media medium NNS cord-132120-u5s5heqm 294 6 as as RB cord-132120-u5s5heqm 294 7 well well RB cord-132120-u5s5heqm 294 8 as as IN cord-132120-u5s5heqm 294 9 academic academic JJ cord-132120-u5s5heqm 294 10 articles article NNS cord-132120-u5s5heqm 294 11 have have VBP cord-132120-u5s5heqm 294 12 plots plot NNS cord-132120-u5s5heqm 294 13 of of IN cord-132120-u5s5heqm 294 14 case case NN cord-132120-u5s5heqm 294 15 - - HYPH cord-132120-u5s5heqm 294 16 count count NN cord-132120-u5s5heqm 294 17 over over IN cord-132120-u5s5heqm 294 18 time time NN cord-132120-u5s5heqm 294 19 aligned align VBN cord-132120-u5s5heqm 294 20 by by IN cord-132120-u5s5heqm 294 21 time time NN cord-132120-u5s5heqm 294 22 of of IN cord-132120-u5s5heqm 294 23 first first RB cord-132120-u5s5heqm 294 24 known know VBN cord-132120-u5s5heqm 294 25 case case NN cord-132120-u5s5heqm 294 26 . . . cord-132120-u5s5heqm 295 1 Others other NNS cord-132120-u5s5heqm 295 2 have have VBP cord-132120-u5s5heqm 295 3 claimed claim VBN cord-132120-u5s5heqm 295 4 such such JJ cord-132120-u5s5heqm 295 5 comparisons comparison NNS cord-132120-u5s5heqm 295 6 unfair unfair JJ cord-132120-u5s5heqm 295 7 due due IN cord-132120-u5s5heqm 295 8 to to IN cord-132120-u5s5heqm 295 9 unequal unequal JJ cord-132120-u5s5heqm 295 10 population population NN cord-132120-u5s5heqm 295 11 sizes size NNS cord-132120-u5s5heqm 295 12 and and CC cord-132120-u5s5heqm 295 13 instead instead RB cord-132120-u5s5heqm 295 14 plotted plot VBD cord-132120-u5s5heqm 295 15 case case NN cord-132120-u5s5heqm 295 16 - - HYPH cord-132120-u5s5heqm 295 17 count count NN cord-132120-u5s5heqm 295 18 per per IN cord-132120-u5s5heqm 295 19 million million CD cord-132120-u5s5heqm 295 20 . . . cord-132120-u5s5heqm 296 1 In in IN cord-132120-u5s5heqm 296 2 this this DT cord-132120-u5s5heqm 296 3 section section NN cord-132120-u5s5heqm 296 4 , , , cord-132120-u5s5heqm 296 5 we -PRON- PRP cord-132120-u5s5heqm 296 6 focus focus VBP cord-132120-u5s5heqm 296 7 on on IN cord-132120-u5s5heqm 296 8 the the DT cord-132120-u5s5heqm 296 9 statistical statistical JJ cord-132120-u5s5heqm 296 10 issues issue NNS cord-132120-u5s5heqm 296 11 relevant relevant JJ cord-132120-u5s5heqm 296 12 to to IN cord-132120-u5s5heqm 296 13 such such JJ cord-132120-u5s5heqm 296 14 comparisons comparison NNS cord-132120-u5s5heqm 296 15 . . . cord-132120-u5s5heqm 297 1 We -PRON- PRP cord-132120-u5s5heqm 297 2 do do VBP cord-132120-u5s5heqm 297 3 not not RB cord-132120-u5s5heqm 297 4 make make VB cord-132120-u5s5heqm 297 5 any any DT cord-132120-u5s5heqm 297 6 comments comment NNS cord-132120-u5s5heqm 297 7 on on IN cord-132120-u5s5heqm 297 8 the the DT cord-132120-u5s5heqm 297 9 multi multi JJ cord-132120-u5s5heqm 297 10 - - JJ cord-132120-u5s5heqm 297 11 causal causal JJ cord-132120-u5s5heqm 297 12 nature nature NN cord-132120-u5s5heqm 297 13 of of IN cord-132120-u5s5heqm 297 14 success success NN cord-132120-u5s5heqm 297 15 / / SYM cord-132120-u5s5heqm 297 16 failure failure NN cord-132120-u5s5heqm 297 17 in in IN cord-132120-u5s5heqm 297 18 countries country NNS cord-132120-u5s5heqm 297 19 . . . cord-132120-u5s5heqm 298 1 3.1 3.1 LS cord-132120-u5s5heqm 298 2 . . . cord-132120-u5s5heqm 299 1 Prevalence prevalence JJ cord-132120-u5s5heqm 299 2 comparisons comparison NNS cord-132120-u5s5heqm 299 3 . . . cord-132120-u5s5heqm 300 1 At at IN cord-132120-u5s5heqm 300 2 a a DT cord-132120-u5s5heqm 300 3 fixed fix VBN cord-132120-u5s5heqm 300 4 time time NN cord-132120-u5s5heqm 300 5 , , , cord-132120-u5s5heqm 300 6 suppose suppose VB cord-132120-u5s5heqm 300 7 prevalence prevalence NN cord-132120-u5s5heqm 300 8 estimatesȳ estimatesȳ NNS cord-132120-u5s5heqm 300 9 1 1 CD cord-132120-u5s5heqm 300 10 andȳ andȳ NNP cord-132120-u5s5heqm 300 11 2 2 CD cord-132120-u5s5heqm 300 12 are be VBP cord-132120-u5s5heqm 300 13 observed observe VBN cord-132120-u5s5heqm 300 14 for for IN cord-132120-u5s5heqm 300 15 two two CD cord-132120-u5s5heqm 300 16 populations population NNS cord-132120-u5s5heqm 300 17 . . . cord-132120-u5s5heqm 301 1 We -PRON- PRP cord-132120-u5s5heqm 301 2 can can MD cord-132120-u5s5heqm 301 3 expressȳ expressȳ VB cord-132120-u5s5heqm 301 4 1 1 CD cord-132120-u5s5heqm 301 5 −ȳ −ȳ NNP cord-132120-u5s5heqm 301 6 2 2 CD cord-132120-u5s5heqm 301 7 in in IN cord-132120-u5s5heqm 301 8 statistical statistical JJ cord-132120-u5s5heqm 301 9 terms term NNS cord-132120-u5s5heqm 301 10 as as IN cord-132120-u5s5heqm 301 11 The the DT cord-132120-u5s5heqm 301 12 first first JJ cord-132120-u5s5heqm 301 13 term term NN cord-132120-u5s5heqm 301 14 is be VBZ cord-132120-u5s5heqm 301 15 the the DT cord-132120-u5s5heqm 301 16 difference difference NN cord-132120-u5s5heqm 301 17 in in IN cord-132120-u5s5heqm 301 18 population population NN cord-132120-u5s5heqm 301 19 prevalence prevalence NN cord-132120-u5s5heqm 301 20 ( ( -LRB- cord-132120-u5s5heqm 301 21 i.e. i.e. FW cord-132120-u5s5heqm 301 22 , , , cord-132120-u5s5heqm 301 23 the the DT cord-132120-u5s5heqm 301 24 quantity quantity NN cord-132120-u5s5heqm 301 25 of of IN cord-132120-u5s5heqm 301 26 interest interest NN cord-132120-u5s5heqm 301 27 ) ) -RRB- cord-132120-u5s5heqm 301 28 . . . cord-132120-u5s5heqm 302 1 If if IN cord-132120-u5s5heqm 302 2 random random JJ cord-132120-u5s5heqm 302 3 sampling sampling NN cord-132120-u5s5heqm 302 4 were be VBD cord-132120-u5s5heqm 302 5 performed perform VBN cord-132120-u5s5heqm 302 6 in in IN cord-132120-u5s5heqm 302 7 each each DT cord-132120-u5s5heqm 302 8 population population NN cord-132120-u5s5heqm 302 9 , , , cord-132120-u5s5heqm 302 10 E e NN cord-132120-u5s5heqm 302 11 I -PRON- PRP cord-132120-u5s5heqm 302 12 [ [ -LRB- cord-132120-u5s5heqm 302 13 ρ ρ '' cord-132120-u5s5heqm 302 14 Ij Ij NNP cord-132120-u5s5heqm 302 15 , , , cord-132120-u5s5heqm 302 16 Yj Yj NNP cord-132120-u5s5heqm 302 17 ] ] -RRB- cord-132120-u5s5heqm 302 18 = = SYM cord-132120-u5s5heqm 302 19 0 0 CD cord-132120-u5s5heqm 302 20 and and CC cord-132120-u5s5heqm 302 21 so so RB cord-132120-u5s5heqm 302 22 the the DT cord-132120-u5s5heqm 302 23 estimate estimate NN cord-132120-u5s5heqm 302 24 would would MD cord-132120-u5s5heqm 302 25 be be VB cord-132120-u5s5heqm 302 26 unbiased unbiased JJ cord-132120-u5s5heqm 302 27 . . . cord-132120-u5s5heqm 303 1 However however RB cord-132120-u5s5heqm 303 2 , , , cord-132120-u5s5heqm 303 3 the the DT cord-132120-u5s5heqm 303 4 second second JJ cord-132120-u5s5heqm 303 5 term term NN cord-132120-u5s5heqm 303 6 represents represent VBZ cord-132120-u5s5heqm 303 7 the the DT cord-132120-u5s5heqm 303 8 complex complex JJ cord-132120-u5s5heqm 303 9 error error NN cord-132120-u5s5heqm 303 10 that that WDT cord-132120-u5s5heqm 303 11 results result VBZ cord-132120-u5s5heqm 303 12 from from IN cord-132120-u5s5heqm 303 13 selection selection NN cord-132120-u5s5heqm 303 14 bias bias NN cord-132120-u5s5heqm 303 15 . . . cord-132120-u5s5heqm 304 1 The the DT cord-132120-u5s5heqm 304 2 particular particular JJ cord-132120-u5s5heqm 304 3 test test NN cord-132120-u5s5heqm 304 4 of of IN cord-132120-u5s5heqm 304 5 interest interest NN cord-132120-u5s5heqm 304 6 is be VBZ cord-132120-u5s5heqm 304 7 H h NN cord-132120-u5s5heqm 304 8 0 0 CD cord-132120-u5s5heqm 304 9 : : : cord-132120-u5s5heqm 305 1 Ȳ ȳ NN cord-132120-u5s5heqm 305 2 1 1 CD cord-132120-u5s5heqm 305 3 = = NFP cord-132120-u5s5heqm 306 1 Ȳ ȳ DT cord-132120-u5s5heqm 306 2 2 2 CD cord-132120-u5s5heqm 306 3 . . . cord-132120-u5s5heqm 307 1 Under under IN cord-132120-u5s5heqm 307 2 the the DT cord-132120-u5s5heqm 307 3 null null NN cord-132120-u5s5heqm 307 4 , , , cord-132120-u5s5heqm 307 5 σ σ NNP cord-132120-u5s5heqm 307 6 Y1 Y1 NNP cord-132120-u5s5heqm 307 7 = = SYM cord-132120-u5s5heqm 307 8 σ σ NN cord-132120-u5s5heqm 307 9 Y2 Y2 NNP cord-132120-u5s5heqm 307 10 . . . cord-132120-u5s5heqm 308 1 In in IN cord-132120-u5s5heqm 308 2 classical classical JJ cord-132120-u5s5heqm 308 3 statistics statistic NNS cord-132120-u5s5heqm 308 4 , , , cord-132120-u5s5heqm 308 5 we -PRON- PRP cord-132120-u5s5heqm 308 6 would would MD cord-132120-u5s5heqm 308 7 compute compute VB cord-132120-u5s5heqm 308 8 a a DT cord-132120-u5s5heqm 308 9 Z z NN cord-132120-u5s5heqm 308 10 - - HYPH cord-132120-u5s5heqm 308 11 score score NN cord-132120-u5s5heqm 308 12 : : : cord-132120-u5s5heqm 308 13 Where where WRB cord-132120-u5s5heqm 308 14 the the DT cord-132120-u5s5heqm 308 15 last last JJ cord-132120-u5s5heqm 308 16 equality equality NN cord-132120-u5s5heqm 308 17 holds hold VBZ cord-132120-u5s5heqm 308 18 under under IN cord-132120-u5s5heqm 308 19 f f NNP cord-132120-u5s5heqm 308 20 1 1 CD cord-132120-u5s5heqm 309 1 = = SYM cord-132120-u5s5heqm 309 2 f f NNP cord-132120-u5s5heqm 309 3 2 2 CD cord-132120-u5s5heqm 309 4 , , , cord-132120-u5s5heqm 309 5 i.e. i.e. FW cord-132120-u5s5heqm 309 6 , , , cord-132120-u5s5heqm 309 7 same same JJ cord-132120-u5s5heqm 309 8 sampling sampling NN cord-132120-u5s5heqm 309 9 rate rate NN cord-132120-u5s5heqm 309 10 relative relative JJ cord-132120-u5s5heqm 309 11 to to IN cord-132120-u5s5heqm 309 12 population population NN cord-132120-u5s5heqm 309 13 size size NN cord-132120-u5s5heqm 309 14 . . . cord-132120-u5s5heqm 310 1 This this DT cord-132120-u5s5heqm 310 2 tells tell VBZ cord-132120-u5s5heqm 310 3 us -PRON- PRP cord-132120-u5s5heqm 310 4 that that IN cord-132120-u5s5heqm 310 5 the the DT cord-132120-u5s5heqm 310 6 exact exact JJ cord-132120-u5s5heqm 310 7 error error NN cord-132120-u5s5heqm 310 8 in in IN cord-132120-u5s5heqm 310 9 the the DT cord-132120-u5s5heqm 310 10 comparison comparison NN cord-132120-u5s5heqm 310 11 of of IN cord-132120-u5s5heqm 310 12 sample sample NN cord-132120-u5s5heqm 310 13 means mean NNS cord-132120-u5s5heqm 310 14 , , , cord-132120-u5s5heqm 310 15 as as IN cord-132120-u5s5heqm 310 16 an an DT cord-132120-u5s5heqm 310 17 estimate estimate NN cord-132120-u5s5heqm 310 18 of of IN cord-132120-u5s5heqm 310 19 the the DT cord-132120-u5s5heqm 310 20 difference difference NN cord-132120-u5s5heqm 310 21 in in IN cord-132120-u5s5heqm 310 22 population population NN cord-132120-u5s5heqm 310 23 means mean NNS cord-132120-u5s5heqm 310 24 , , , cord-132120-u5s5heqm 310 25 scales scale VBZ cord-132120-u5s5heqm 310 26 as as IN cord-132120-u5s5heqm 310 27 a a DT cord-132120-u5s5heqm 310 28 function function NN cord-132120-u5s5heqm 310 29 of of IN cord-132120-u5s5heqm 310 30 the the DT cord-132120-u5s5heqm 310 31 difference difference NN cord-132120-u5s5heqm 310 32 in in IN cord-132120-u5s5heqm 310 33 data data NN cord-132120-u5s5heqm 310 34 quality quality NN cord-132120-u5s5heqm 311 1 ρ ρ NFP cord-132120-u5s5heqm 311 2 I1,Y1 I1,Y1 NNP cord-132120-u5s5heqm 311 3 − − NNP cord-132120-u5s5heqm 311 4 ρ ρ NNP cord-132120-u5s5heqm 311 5 I2,Y2 I2,Y2 NNP cord-132120-u5s5heqm 311 6 times time NNS cord-132120-u5s5heqm 311 7 a a DT cord-132120-u5s5heqm 311 8 square square JJ cord-132120-u5s5heqm 311 9 root root NN cord-132120-u5s5heqm 311 10 of of IN cord-132120-u5s5heqm 311 11 a a DT cord-132120-u5s5heqm 311 12 population population NN cord-132120-u5s5heqm 311 13 adjustment adjustment NN cord-132120-u5s5heqm 311 14 . . . cord-132120-u5s5heqm 312 1 For for IN cord-132120-u5s5heqm 312 2 highly highly RB cord-132120-u5s5heqm 312 3 unequal unequal JJ cord-132120-u5s5heqm 312 4 population population NN cord-132120-u5s5heqm 312 5 sizes size NNS cord-132120-u5s5heqm 312 6 ( ( -LRB- cord-132120-u5s5heqm 312 7 e.g. e.g. RB cord-132120-u5s5heqm 312 8 , , , cord-132120-u5s5heqm 312 9 N n CD cord-132120-u5s5heqm 312 10 1 1 CD cord-132120-u5s5heqm 312 11 N n CD cord-132120-u5s5heqm 312 12 2 2 CD cord-132120-u5s5heqm 312 13 ) ) -RRB- cord-132120-u5s5heqm 312 14 , , , cord-132120-u5s5heqm 312 15 the the DT cord-132120-u5s5heqm 312 16 adjustment adjustment NN cord-132120-u5s5heqm 312 17 is be VBZ cord-132120-u5s5heqm 312 18 approximated approximate VBN cord-132120-u5s5heqm 312 19 well well RB cord-132120-u5s5heqm 312 20 by by IN cord-132120-u5s5heqm 312 21 the the DT cord-132120-u5s5heqm 312 22 square square JJ cord-132120-u5s5heqm 312 23 root root NN cord-132120-u5s5heqm 312 24 of of IN cord-132120-u5s5heqm 312 25 the the DT cord-132120-u5s5heqm 312 26 smaller small JJR cord-132120-u5s5heqm 312 27 population population NN cord-132120-u5s5heqm 312 28 size size NN cord-132120-u5s5heqm 312 29 minus minus CC cord-132120-u5s5heqm 312 30 one one NN cord-132120-u5s5heqm 312 31 ( ( -LRB- cord-132120-u5s5heqm 312 32 e.g. e.g. RB cord-132120-u5s5heqm 312 33 √ √ NNP cord-132120-u5s5heqm 312 34 N N NNP cord-132120-u5s5heqm 312 35 2 2 CD cord-132120-u5s5heqm 312 36 − − NN cord-132120-u5s5heqm 312 37 1 1 CD cord-132120-u5s5heqm 312 38 ) ) -RRB- cord-132120-u5s5heqm 312 39 . . . cord-132120-u5s5heqm 313 1 Take take VB cord-132120-u5s5heqm 313 2 , , , cord-132120-u5s5heqm 313 3 for for IN cord-132120-u5s5heqm 313 4 example example NN cord-132120-u5s5heqm 313 5 , , , cord-132120-u5s5heqm 313 6 a a DT cord-132120-u5s5heqm 313 7 comparison comparison NN cord-132120-u5s5heqm 313 8 of of IN cord-132120-u5s5heqm 313 9 the the DT cord-132120-u5s5heqm 313 10 US US NNP cord-132120-u5s5heqm 313 11 and and CC cord-132120-u5s5heqm 313 12 Canada Canada NNP cord-132120-u5s5heqm 313 13 . . . cord-132120-u5s5heqm 314 1 The the DT cord-132120-u5s5heqm 314 2 two two CD cord-132120-u5s5heqm 314 3 population population NN cord-132120-u5s5heqm 314 4 sizes size NNS cord-132120-u5s5heqm 314 5 are be VBP cord-132120-u5s5heqm 314 6 approximately approximately RB cord-132120-u5s5heqm 314 7 328 328 CD cord-132120-u5s5heqm 314 8 million million CD cord-132120-u5s5heqm 314 9 and and CC cord-132120-u5s5heqm 314 10 38 38 CD cord-132120-u5s5heqm 314 11 million million CD cord-132120-u5s5heqm 314 12 people people NNS cord-132120-u5s5heqm 314 13 . . . cord-132120-u5s5heqm 315 1 Then then RB cord-132120-u5s5heqm 315 2 the the DT cord-132120-u5s5heqm 315 3 population population NN cord-132120-u5s5heqm 315 4 adjustment adjustment NN cord-132120-u5s5heqm 315 5 is be VBZ cord-132120-u5s5heqm 315 6 5.84 5.84 CD cord-132120-u5s5heqm 315 7 million million CD cord-132120-u5s5heqm 315 8 . . . cord-132120-u5s5heqm 316 1 As as IN cord-132120-u5s5heqm 316 2 of of IN cord-132120-u5s5heqm 316 3 May May NNP cord-132120-u5s5heqm 316 4 5th 5th NN cord-132120-u5s5heqm 316 5 , , , cord-132120-u5s5heqm 316 6 Canada Canada NNP cord-132120-u5s5heqm 316 7 has have VBZ cord-132120-u5s5heqm 316 8 performed perform VBN cord-132120-u5s5heqm 316 9 a a DT cord-132120-u5s5heqm 316 10 total total NN cord-132120-u5s5heqm 316 11 of of IN cord-132120-u5s5heqm 316 12 24.92 24.92 CD cord-132120-u5s5heqm 316 13 tests test NNS cord-132120-u5s5heqm 316 14 per per IN cord-132120-u5s5heqm 316 15 1,000 1,000 CD cord-132120-u5s5heqm 316 16 people people NNS cord-132120-u5s5heqm 316 17 while while IN cord-132120-u5s5heqm 316 18 the the DT cord-132120-u5s5heqm 316 19 US US NNP cord-132120-u5s5heqm 316 20 has have VBZ cord-132120-u5s5heqm 316 21 performed perform VBN cord-132120-u5s5heqm 316 22 a a DT cord-132120-u5s5heqm 316 23 total total NN cord-132120-u5s5heqm 316 24 of of IN cord-132120-u5s5heqm 316 25 22.01 22.01 CD cord-132120-u5s5heqm 316 26 tests test NNS cord-132120-u5s5heqm 316 27 per per IN cord-132120-u5s5heqm 316 28 1,000 1,000 CD cord-132120-u5s5heqm 316 29 people people NNS cord-132120-u5s5heqm 316 30 2 2 CD cord-132120-u5s5heqm 316 31 so so RB cord-132120-u5s5heqm 316 32 the the DT cord-132120-u5s5heqm 316 33 data data NN cord-132120-u5s5heqm 316 34 quantities quantity NNS cord-132120-u5s5heqm 316 35 are be VBP cord-132120-u5s5heqm 316 36 approximately approximately RB cord-132120-u5s5heqm 316 37 equal equal JJ cord-132120-u5s5heqm 316 38 to to IN cord-132120-u5s5heqm 316 39 f f NN cord-132120-u5s5heqm 316 40 = = SYM cord-132120-u5s5heqm 316 41 23/1000 23/1000 CD cord-132120-u5s5heqm 316 42 = = SYM cord-132120-u5s5heqm 316 43 0.023 0.023 CD cord-132120-u5s5heqm 316 44 . . . cord-132120-u5s5heqm 317 1 Then then RB cord-132120-u5s5heqm 317 2 , , , cord-132120-u5s5heqm 317 3 under under IN cord-132120-u5s5heqm 317 4 a a DT cord-132120-u5s5heqm 317 5 prevalence prevalence NN cord-132120-u5s5heqm 317 6 of of IN cord-132120-u5s5heqm 317 7 10 10 CD cord-132120-u5s5heqm 317 8 % % NN cord-132120-u5s5heqm 317 9 , , , cord-132120-u5s5heqm 317 10 one one PRP cord-132120-u5s5heqm 317 11 would would MD cord-132120-u5s5heqm 317 12 need need VB cord-132120-u5s5heqm 317 13 the the DT cord-132120-u5s5heqm 317 14 differential differential JJ cord-132120-u5s5heqm 317 15 ∆ ∆ NNP cord-132120-u5s5heqm 317 16 1 1 CD cord-132120-u5s5heqm 317 17 − − NNP cord-132120-u5s5heqm 317 18 ∆ ∆ NN cord-132120-u5s5heqm 317 19 2 2 CD cord-132120-u5s5heqm 317 20 to to TO cord-132120-u5s5heqm 317 21 be be VB cord-132120-u5s5heqm 317 22 much much RB cord-132120-u5s5heqm 317 23 smaller small JJR cord-132120-u5s5heqm 317 24 than than IN cord-132120-u5s5heqm 317 25 11.68 11.68 CD cord-132120-u5s5heqm 317 26 × × NN cord-132120-u5s5heqm 317 27 10 10 CD cord-132120-u5s5heqm 317 28 −6 −6 NNS cord-132120-u5s5heqm 318 1 in in IN cord-132120-u5s5heqm 318 2 order order NN cord-132120-u5s5heqm 318 3 for for IN cord-132120-u5s5heqm 318 4 the the DT cord-132120-u5s5heqm 318 5 selection selection NN cord-132120-u5s5heqm 318 6 bias bias NN cord-132120-u5s5heqm 318 7 to to TO cord-132120-u5s5heqm 318 8 not not RB cord-132120-u5s5heqm 318 9 impact impact VB cord-132120-u5s5heqm 318 10 . . . cord-132120-u5s5heqm 319 1 So so RB cord-132120-u5s5heqm 319 2 only only RB cord-132120-u5s5heqm 319 3 under under IN cord-132120-u5s5heqm 319 4 the the DT cord-132120-u5s5heqm 319 5 very very RB cord-132120-u5s5heqm 319 6 strong strong JJ cord-132120-u5s5heqm 319 7 assumptions assumption NNS cord-132120-u5s5heqm 319 8 of of IN cord-132120-u5s5heqm 319 9 equal equal JJ cord-132120-u5s5heqm 319 10 data data NN cord-132120-u5s5heqm 319 11 quantity quantity NN cord-132120-u5s5heqm 319 12 and and CC cord-132120-u5s5heqm 319 13 quality quality NN cord-132120-u5s5heqm 319 14 will will MD cord-132120-u5s5heqm 319 15 the the DT cord-132120-u5s5heqm 319 16 comparisons comparison NNS cord-132120-u5s5heqm 319 17 be be VB cord-132120-u5s5heqm 319 18 valid valid JJ cord-132120-u5s5heqm 319 19 and and CC cord-132120-u5s5heqm 319 20 the the DT cord-132120-u5s5heqm 319 21 Z z NN cord-132120-u5s5heqm 319 22 - - HYPH cord-132120-u5s5heqm 319 23 score score NN cord-132120-u5s5heqm 319 24 can can MD cord-132120-u5s5heqm 319 25 be be VB cord-132120-u5s5heqm 319 26 treated treat VBN cord-132120-u5s5heqm 319 27 as as IN cord-132120-u5s5heqm 319 28 in in IN cord-132120-u5s5heqm 319 29 the the DT cord-132120-u5s5heqm 319 30 classical classical JJ cord-132120-u5s5heqm 319 31 setting setting NN cord-132120-u5s5heqm 319 32 . . . cord-132120-u5s5heqm 320 1 A a DT cord-132120-u5s5heqm 320 2 simple simple JJ cord-132120-u5s5heqm 320 3 alternative alternative NN cord-132120-u5s5heqm 320 4 is be VBZ cord-132120-u5s5heqm 320 5 to to TO cord-132120-u5s5heqm 320 6 use use VB cord-132120-u5s5heqm 320 7 the the DT cord-132120-u5s5heqm 320 8 effective effective JJ cord-132120-u5s5heqm 320 9 sample sample NN cord-132120-u5s5heqm 320 10 sizes size NNS cord-132120-u5s5heqm 320 11 to to TO cord-132120-u5s5heqm 320 12 build build VB cord-132120-u5s5heqm 320 13 more more RBR cord-132120-u5s5heqm 320 14 appropriate appropriate JJ cord-132120-u5s5heqm 320 15 Z z NN cord-132120-u5s5heqm 320 16 - - HYPH cord-132120-u5s5heqm 320 17 score score NN cord-132120-u5s5heqm 320 18 . . . cord-132120-u5s5heqm 321 1 That that RB cord-132120-u5s5heqm 321 2 is is RB cord-132120-u5s5heqm 321 3 , , , cord-132120-u5s5heqm 321 4 setting set VBG cord-132120-u5s5heqm 321 5 n n NN cord-132120-u5s5heqm 321 6 1,ef 1,ef CD cord-132120-u5s5heqm 321 7 f f NNP cord-132120-u5s5heqm 321 8 −1 −1 NNP cord-132120-u5s5heqm 321 9 + + SYM cord-132120-u5s5heqm 321 10 1 1 CD cord-132120-u5s5heqm 321 11 n n NN cord-132120-u5s5heqm 321 12 2,ef 2,ef CD cord-132120-u5s5heqm 321 13 f f NNP cord-132120-u5s5heqm 321 14 −1 −1 NNP cord-132120-u5s5heqm 321 15 allows allow VBZ cord-132120-u5s5heqm 321 16 us -PRON- PRP cord-132120-u5s5heqm 321 17 to to TO cord-132120-u5s5heqm 321 18 build build VB cord-132120-u5s5heqm 321 19 Z z NN cord-132120-u5s5heqm 321 20 - - HYPH cord-132120-u5s5heqm 321 21 scores score NNS cord-132120-u5s5heqm 321 22 that that WDT cord-132120-u5s5heqm 321 23 account account VBP cord-132120-u5s5heqm 321 24 for for IN cord-132120-u5s5heqm 321 25 the the DT cord-132120-u5s5heqm 321 26 true true JJ cord-132120-u5s5heqm 321 27 sample sample NN cord-132120-u5s5heqm 321 28 size size NN cord-132120-u5s5heqm 321 29 . . . cord-132120-u5s5heqm 322 1 While while IN cord-132120-u5s5heqm 322 2 still still RB cord-132120-u5s5heqm 322 3 not not RB cord-132120-u5s5heqm 322 4 perfect perfect JJ cord-132120-u5s5heqm 322 5 , , , cord-132120-u5s5heqm 322 6 this this DT cord-132120-u5s5heqm 322 7 allows allow VBZ cord-132120-u5s5heqm 322 8 us -PRON- PRP cord-132120-u5s5heqm 322 9 to to TO cord-132120-u5s5heqm 322 10 build build VB cord-132120-u5s5heqm 322 11 Z z NN cord-132120-u5s5heqm 322 12 - - HYPH cord-132120-u5s5heqm 322 13 scores score NNS cord-132120-u5s5heqm 322 14 that that WDT cord-132120-u5s5heqm 322 15 are be VBP cord-132120-u5s5heqm 322 16 not not RB cord-132120-u5s5heqm 322 17 overly overly RB cord-132120-u5s5heqm 322 18 confident confident JJ cord-132120-u5s5heqm 322 19 due due IN cord-132120-u5s5heqm 322 20 to to IN cord-132120-u5s5heqm 322 21 selection selection NN cord-132120-u5s5heqm 322 22 bias bias NN cord-132120-u5s5heqm 322 23 and and CC cord-132120-u5s5heqm 322 24 measurement measurement NN cord-132120-u5s5heqm 322 25 error error NN cord-132120-u5s5heqm 322 26 . . . cord-132120-u5s5heqm 323 1 See see VB cord-132120-u5s5heqm 323 2 Section section NN cord-132120-u5s5heqm 323 3 3.4 3.4 CD cord-132120-u5s5heqm 323 4 for for IN cord-132120-u5s5heqm 323 5 discussion discussion NN cord-132120-u5s5heqm 323 6 of of IN cord-132120-u5s5heqm 323 7 how how WRB cord-132120-u5s5heqm 323 8 to to TO cord-132120-u5s5heqm 323 9 estimate estimate VB cord-132120-u5s5heqm 323 10 data datum NNS cord-132120-u5s5heqm 323 11 quality quality NN cord-132120-u5s5heqm 323 12 . . . cord-132120-u5s5heqm 324 1 3.2 3.2 CD cord-132120-u5s5heqm 324 2 . . . cord-132120-u5s5heqm 325 1 Case case NN cord-132120-u5s5heqm 325 2 count count NN cord-132120-u5s5heqm 325 3 comparisons comparison NNS cord-132120-u5s5heqm 325 4 . . . cord-132120-u5s5heqm 326 1 Two two CD cord-132120-u5s5heqm 326 2 alternative alternative JJ cord-132120-u5s5heqm 326 3 comparisons comparison NNS cord-132120-u5s5heqm 326 4 are be VBP cord-132120-u5s5heqm 326 5 common common JJ cord-132120-u5s5heqm 326 6 . . . cord-132120-u5s5heqm 327 1 First first RB cord-132120-u5s5heqm 327 2 , , , cord-132120-u5s5heqm 327 3 the the DT cord-132120-u5s5heqm 327 4 data datum NNS cord-132120-u5s5heqm 327 5 analyst analyst NN cord-132120-u5s5heqm 327 6 may may MD cord-132120-u5s5heqm 327 7 directly directly RB cord-132120-u5s5heqm 327 8 compare compare VB cord-132120-u5s5heqm 327 9 the the DT cord-132120-u5s5heqm 327 10 observed observed JJ cord-132120-u5s5heqm 327 11 number number NN cord-132120-u5s5heqm 327 12 of of IN cord-132120-u5s5heqm 327 13 new new JJ cord-132120-u5s5heqm 327 14 cases case NNS cord-132120-u5s5heqm 327 15 on on IN cord-132120-u5s5heqm 327 16 a a DT cord-132120-u5s5heqm 327 17 given give VBN cord-132120-u5s5heqm 327 18 day day NN cord-132120-u5s5heqm 327 19 . . . cord-132120-u5s5heqm 328 1 If if IN cord-132120-u5s5heqm 328 2 Y Y NNP cord-132120-u5s5heqm 328 3 1 1 CD cord-132120-u5s5heqm 328 4 and and CC cord-132120-u5s5heqm 328 5 Y Y NNP cord-132120-u5s5heqm 328 6 2 2 CD cord-132120-u5s5heqm 328 7 are be VBP cord-132120-u5s5heqm 328 8 the the DT cord-132120-u5s5heqm 328 9 number number NN cord-132120-u5s5heqm 328 10 of of IN cord-132120-u5s5heqm 328 11 cases case NNS cord-132120-u5s5heqm 328 12 in in IN cord-132120-u5s5heqm 328 13 locations location NNS cord-132120-u5s5heqm 328 14 j j NNP cord-132120-u5s5heqm 328 15 = = SYM cord-132120-u5s5heqm 328 16 1 1 CD cord-132120-u5s5heqm 328 17 , , , cord-132120-u5s5heqm 328 18 2 2 CD cord-132120-u5s5heqm 328 19 respectively respectively RB cord-132120-u5s5heqm 328 20 , , , cord-132120-u5s5heqm 328 21 then then RB cord-132120-u5s5heqm 328 22 we -PRON- PRP cord-132120-u5s5heqm 328 23 can can MD cord-132120-u5s5heqm 328 24 express express VB cord-132120-u5s5heqm 328 25 the the DT cord-132120-u5s5heqm 328 26 error error NN cord-132120-u5s5heqm 328 27 of of IN cord-132120-u5s5heqm 328 28 y y NNP cord-132120-u5s5heqm 328 29 1 1 CD cord-132120-u5s5heqm 328 30 − − NNP cord-132120-u5s5heqm 328 31 y y NNP cord-132120-u5s5heqm 328 32 2 2 CD cord-132120-u5s5heqm 328 33 as as IN cord-132120-u5s5heqm 328 34 Under under IN cord-132120-u5s5heqm 328 35 simple simple JJ cord-132120-u5s5heqm 328 36 random random JJ cord-132120-u5s5heqm 328 37 sampling sampling NN cord-132120-u5s5heqm 328 38 , , , cord-132120-u5s5heqm 328 39 the the DT cord-132120-u5s5heqm 328 40 first first JJ cord-132120-u5s5heqm 328 41 term term NN cord-132120-u5s5heqm 328 42 is be VBZ cord-132120-u5s5heqm 328 43 zero zero CD cord-132120-u5s5heqm 328 44 in in IN cord-132120-u5s5heqm 328 45 expectation expectation NN cord-132120-u5s5heqm 328 46 . . . cord-132120-u5s5heqm 329 1 However however RB cord-132120-u5s5heqm 329 2 , , , cord-132120-u5s5heqm 329 3 the the DT cord-132120-u5s5heqm 329 4 question question NN cord-132120-u5s5heqm 329 5 is be VBZ cord-132120-u5s5heqm 329 6 whether whether IN cord-132120-u5s5heqm 329 7 f f NNP cord-132120-u5s5heqm 330 1 1Ȳ1 1ȳ1 CD cord-132120-u5s5heqm 330 2 − − NN cord-132120-u5s5heqm 330 3 f f NNP cord-132120-u5s5heqm 330 4 2Ȳ2 2ȳ2 CD cord-132120-u5s5heqm 330 5 is be VBZ cord-132120-u5s5heqm 330 6 of of IN cord-132120-u5s5heqm 330 7 scientific scientific JJ cord-132120-u5s5heqm 330 8 interest interest NN cord-132120-u5s5heqm 330 9 . . . cord-132120-u5s5heqm 331 1 We -PRON- PRP cord-132120-u5s5heqm 331 2 would would MD cord-132120-u5s5heqm 331 3 argue argue VB cord-132120-u5s5heqm 331 4 that that IN cord-132120-u5s5heqm 331 5 this this DT cord-132120-u5s5heqm 331 6 is be VBZ cord-132120-u5s5heqm 331 7 only only RB cord-132120-u5s5heqm 331 8 of of IN cord-132120-u5s5heqm 331 9 true true JJ cord-132120-u5s5heqm 331 10 interest interest NN cord-132120-u5s5heqm 331 11 when when WRB cord-132120-u5s5heqm 331 12 f f NNP cord-132120-u5s5heqm 331 13 1 1 CD cord-132120-u5s5heqm 331 14 = = SYM cord-132120-u5s5heqm 331 15 f f NN cord-132120-u5s5heqm 331 16 2 2 CD cord-132120-u5s5heqm 332 1 and and CC cord-132120-u5s5heqm 332 2 we -PRON- PRP cord-132120-u5s5heqm 332 3 are be VBP cord-132120-u5s5heqm 332 4 interested interested JJ cord-132120-u5s5heqm 332 5 in in IN cord-132120-u5s5heqm 332 6 comparing compare VBG cord-132120-u5s5heqm 332 7 total total JJ cord-132120-u5s5heqm 332 8 number number NN cord-132120-u5s5heqm 332 9 of of IN cord-132120-u5s5heqm 332 10 cases case NNS cord-132120-u5s5heqm 332 11 . . . cord-132120-u5s5heqm 333 1 In in IN cord-132120-u5s5heqm 333 2 this this DT cord-132120-u5s5heqm 333 3 setting setting NN cord-132120-u5s5heqm 333 4 , , , cord-132120-u5s5heqm 333 5 however however RB cord-132120-u5s5heqm 333 6 , , , cord-132120-u5s5heqm 333 7 the the DT cord-132120-u5s5heqm 333 8 difference difference NN cord-132120-u5s5heqm 333 9 in in IN cord-132120-u5s5heqm 333 10 error error NN cord-132120-u5s5heqm 333 11 terms term NNS cord-132120-u5s5heqm 333 12 is be VBZ cord-132120-u5s5heqm 333 13 unlikely unlikely JJ cord-132120-u5s5heqm 333 14 to to TO cord-132120-u5s5heqm 333 15 be be VB cord-132120-u5s5heqm 333 16 zero zero CD cord-132120-u5s5heqm 333 17 . . . cord-132120-u5s5heqm 334 1 To to TO cord-132120-u5s5heqm 334 2 see see VB cord-132120-u5s5heqm 334 3 this this DT cord-132120-u5s5heqm 334 4 , , , cord-132120-u5s5heqm 334 5 assume assume VB cord-132120-u5s5heqm 334 6 that that IN cord-132120-u5s5heqm 334 7 we -PRON- PRP cord-132120-u5s5heqm 334 8 have have VBP cord-132120-u5s5heqm 334 9 similar similar JJ cord-132120-u5s5heqm 334 10 expected expect VBN cord-132120-u5s5heqm 334 11 data data NN cord-132120-u5s5heqm 334 12 quality quality NN cord-132120-u5s5heqm 334 13 , , , cord-132120-u5s5heqm 334 14 data datum NNS cord-132120-u5s5heqm 334 15 quantity quantity NN cord-132120-u5s5heqm 334 16 , , , cord-132120-u5s5heqm 334 17 problem problem NN cord-132120-u5s5heqm 334 18 difficulty difficulty NN cord-132120-u5s5heqm 334 19 , , , cord-132120-u5s5heqm 334 20 and and CC cord-132120-u5s5heqm 334 21 measurement measurement NN cord-132120-u5s5heqm 334 22 error error NN cord-132120-u5s5heqm 334 23 . . . cord-132120-u5s5heqm 335 1 Then then RB cord-132120-u5s5heqm 335 2 the the DT cord-132120-u5s5heqm 335 3 error error NN cord-132120-u5s5heqm 335 4 is be VBZ cord-132120-u5s5heqm 335 5 a a DT cord-132120-u5s5heqm 335 6 function function NN cord-132120-u5s5heqm 335 7 of of IN cord-132120-u5s5heqm 336 1 n n NN cord-132120-u5s5heqm 336 2 1 1 CD cord-132120-u5s5heqm 336 3 − − NN cord-132120-u5s5heqm 336 4 n n NN cord-132120-u5s5heqm 336 5 2 2 CD cord-132120-u5s5heqm 336 6 = = SYM cord-132120-u5s5heqm 336 7 n n NN cord-132120-u5s5heqm 336 8 2 2 CD cord-132120-u5s5heqm 336 9 N1 N1 NNP cord-132120-u5s5heqm 336 10 N2 N2 NNP cord-132120-u5s5heqm 336 11 − − NNP cord-132120-u5s5heqm 336 12 1 1 CD cord-132120-u5s5heqm 337 1 . . . cord-132120-u5s5heqm 338 1 So so RB cord-132120-u5s5heqm 338 2 we -PRON- PRP cord-132120-u5s5heqm 338 3 see see VBP cord-132120-u5s5heqm 338 4 that that IN cord-132120-u5s5heqm 338 5 the the DT cord-132120-u5s5heqm 338 6 error error NN cord-132120-u5s5heqm 338 7 now now RB cord-132120-u5s5heqm 338 8 is be VBZ cord-132120-u5s5heqm 338 9 a a DT cord-132120-u5s5heqm 338 10 function function NN cord-132120-u5s5heqm 338 11 of of IN cord-132120-u5s5heqm 338 12 the the DT cord-132120-u5s5heqm 338 13 relative relative JJ cord-132120-u5s5heqm 338 14 difference difference NN cord-132120-u5s5heqm 338 15 in in IN cord-132120-u5s5heqm 338 16 the the DT cord-132120-u5s5heqm 338 17 population population NN cord-132120-u5s5heqm 338 18 sizes size NNS cord-132120-u5s5heqm 338 19 . . . cord-132120-u5s5heqm 339 1 Alternatively alternatively RB cord-132120-u5s5heqm 339 2 , , , cord-132120-u5s5heqm 339 3 the the DT cord-132120-u5s5heqm 339 4 data datum NNS cord-132120-u5s5heqm 339 5 analyst analyst NN cord-132120-u5s5heqm 339 6 may may MD cord-132120-u5s5heqm 339 7 be be VB cord-132120-u5s5heqm 339 8 wary wary JJ cord-132120-u5s5heqm 339 9 of of IN cord-132120-u5s5heqm 339 10 such such JJ cord-132120-u5s5heqm 339 11 concerns concern NNS cord-132120-u5s5heqm 339 12 in in IN cord-132120-u5s5heqm 339 13 population population NN cord-132120-u5s5heqm 339 14 differences difference NNS cord-132120-u5s5heqm 339 15 and and CC cord-132120-u5s5heqm 339 16 scale scale NN cord-132120-u5s5heqm 339 17 counts count NNS cord-132120-u5s5heqm 339 18 by by IN cord-132120-u5s5heqm 339 19 respective respective JJ cord-132120-u5s5heqm 339 20 population population NN cord-132120-u5s5heqm 339 21 size size NN cord-132120-u5s5heqm 339 22 , , , cord-132120-u5s5heqm 339 23 i.e. i.e. FW cord-132120-u5s5heqm 339 24 , , , cord-132120-u5s5heqm 339 25 y y NNP cord-132120-u5s5heqm 339 26 1 1 CD cord-132120-u5s5heqm 339 27 /N /n SYM cord-132120-u5s5heqm 339 28 1 1 CD cord-132120-u5s5heqm 339 29 − − NN cord-132120-u5s5heqm 339 30 y y NNP cord-132120-u5s5heqm 339 31 2 2 CD cord-132120-u5s5heqm 339 32 /N /n SYM cord-132120-u5s5heqm 339 33 2 2 CD cord-132120-u5s5heqm 339 34 . . . cord-132120-u5s5heqm 340 1 We -PRON- PRP cord-132120-u5s5heqm 340 2 can can MD cord-132120-u5s5heqm 340 3 again again RB cord-132120-u5s5heqm 340 4 express express VB cord-132120-u5s5heqm 340 5 the the DT cord-132120-u5s5heqm 340 6 error error NN cord-132120-u5s5heqm 340 7 as as IN cord-132120-u5s5heqm 340 8 Under under IN cord-132120-u5s5heqm 340 9 simple simple JJ cord-132120-u5s5heqm 340 10 random random JJ cord-132120-u5s5heqm 340 11 sampling sampling NN cord-132120-u5s5heqm 340 12 , , , cord-132120-u5s5heqm 340 13 the the DT cord-132120-u5s5heqm 340 14 first first JJ cord-132120-u5s5heqm 340 15 term term NN cord-132120-u5s5heqm 340 16 is be VBZ cord-132120-u5s5heqm 340 17 again again RB cord-132120-u5s5heqm 340 18 zero zero CD cord-132120-u5s5heqm 340 19 in in IN cord-132120-u5s5heqm 340 20 expectation expectation NN cord-132120-u5s5heqm 340 21 . . . cord-132120-u5s5heqm 341 1 However however RB cord-132120-u5s5heqm 341 2 , , , cord-132120-u5s5heqm 341 3 the the DT cord-132120-u5s5heqm 341 4 question question NN cord-132120-u5s5heqm 341 5 is be VBZ cord-132120-u5s5heqm 341 6 whether whether IN cord-132120-u5s5heqm 341 7 f f NNP cord-132120-u5s5heqm 342 1 1Ȳ1 1ȳ1 CD cord-132120-u5s5heqm 342 2 − − NN cord-132120-u5s5heqm 342 3 f f NNP cord-132120-u5s5heqm 342 4 2Ȳ2 2ȳ2 CD cord-132120-u5s5heqm 342 5 is be VBZ cord-132120-u5s5heqm 342 6 of of IN cord-132120-u5s5heqm 342 7 scientific scientific JJ cord-132120-u5s5heqm 342 8 interest interest NN cord-132120-u5s5heqm 342 9 . . . cord-132120-u5s5heqm 343 1 We -PRON- PRP cord-132120-u5s5heqm 343 2 would would MD cord-132120-u5s5heqm 343 3 argue argue VB cord-132120-u5s5heqm 343 4 that that IN cord-132120-u5s5heqm 343 5 this this DT cord-132120-u5s5heqm 343 6 is be VBZ cord-132120-u5s5heqm 343 7 only only RB cord-132120-u5s5heqm 343 8 of of IN cord-132120-u5s5heqm 343 9 true true JJ cord-132120-u5s5heqm 343 10 interest interest NN cord-132120-u5s5heqm 343 11 when when WRB cord-132120-u5s5heqm 343 12 f f NNP cord-132120-u5s5heqm 343 13 1 1 CD cord-132120-u5s5heqm 343 14 = = SYM cord-132120-u5s5heqm 343 15 f f NN cord-132120-u5s5heqm 343 16 2 2 CD cord-132120-u5s5heqm 344 1 and and CC cord-132120-u5s5heqm 344 2 we -PRON- PRP cord-132120-u5s5heqm 344 3 wish wish VBP cord-132120-u5s5heqm 344 4 to to TO cord-132120-u5s5heqm 344 5 compare compare VB cord-132120-u5s5heqm 344 6 disease disease NN cord-132120-u5s5heqm 344 7 prevalence prevalence NN cord-132120-u5s5heqm 344 8 . . . cord-132120-u5s5heqm 345 1 Importantly importantly RB cord-132120-u5s5heqm 345 2 , , , cord-132120-u5s5heqm 345 3 the the DT cord-132120-u5s5heqm 345 4 error error NN cord-132120-u5s5heqm 345 5 in in IN cord-132120-u5s5heqm 345 6 this this DT cord-132120-u5s5heqm 345 7 comparison comparison NN cord-132120-u5s5heqm 345 8 is be VBZ cord-132120-u5s5heqm 345 9 less less RBR cord-132120-u5s5heqm 345 10 problematic problematic JJ cord-132120-u5s5heqm 345 11 . . . cord-132120-u5s5heqm 346 1 To to TO cord-132120-u5s5heqm 346 2 see see VB cord-132120-u5s5heqm 346 3 this this DT cord-132120-u5s5heqm 346 4 , , , cord-132120-u5s5heqm 346 5 assume assume VB cord-132120-u5s5heqm 346 6 that that IN cord-132120-u5s5heqm 346 7 we -PRON- PRP cord-132120-u5s5heqm 346 8 have have VBP cord-132120-u5s5heqm 346 9 similar similar JJ cord-132120-u5s5heqm 346 10 expected expect VBN cord-132120-u5s5heqm 346 11 data data NN cord-132120-u5s5heqm 346 12 quality quality NN cord-132120-u5s5heqm 346 13 , , , cord-132120-u5s5heqm 346 14 data datum NNS cord-132120-u5s5heqm 346 15 quantity quantity NN cord-132120-u5s5heqm 346 16 , , , cord-132120-u5s5heqm 346 17 problem problem NN cord-132120-u5s5heqm 346 18 difficulty difficulty NN cord-132120-u5s5heqm 346 19 , , , cord-132120-u5s5heqm 346 20 and and CC cord-132120-u5s5heqm 346 21 measurement measurement NN cord-132120-u5s5heqm 346 22 error error NN cord-132120-u5s5heqm 346 23 . . . cord-132120-u5s5heqm 347 1 Then then RB cord-132120-u5s5heqm 347 2 the the DT cord-132120-u5s5heqm 347 3 error error NN cord-132120-u5s5heqm 347 4 is be VBZ cord-132120-u5s5heqm 347 5 equal equal JJ cord-132120-u5s5heqm 347 6 to to IN cord-132120-u5s5heqm 347 7 zero zero CD cord-132120-u5s5heqm 347 8 . . . cord-132120-u5s5heqm 348 1 It -PRON- PRP cord-132120-u5s5heqm 348 2 is be VBZ cord-132120-u5s5heqm 348 3 important important JJ cord-132120-u5s5heqm 348 4 to to TO cord-132120-u5s5heqm 348 5 note note VB cord-132120-u5s5heqm 348 6 that that IN cord-132120-u5s5heqm 348 7 the the DT cord-132120-u5s5heqm 348 8 standard standard JJ cord-132120-u5s5heqm 348 9 law law NN cord-132120-u5s5heqm 348 10 of of IN cord-132120-u5s5heqm 348 11 large large JJ cord-132120-u5s5heqm 348 12 populations population NNS cord-132120-u5s5heqm 348 13 caveats caveat NNS cord-132120-u5s5heqm 348 14 apply apply VBP cord-132120-u5s5heqm 348 15 to to IN cord-132120-u5s5heqm 348 16 both both DT cord-132120-u5s5heqm 348 17 comparisons comparison NNS cord-132120-u5s5heqm 348 18 . . . cord-132120-u5s5heqm 349 1 In in IN cord-132120-u5s5heqm 349 2 both both DT cord-132120-u5s5heqm 349 3 cases case NNS cord-132120-u5s5heqm 349 4 , , , cord-132120-u5s5heqm 349 5 the the DT cord-132120-u5s5heqm 349 6 point point NN cord-132120-u5s5heqm 349 7 is be VBZ cord-132120-u5s5heqm 349 8 that that IN cord-132120-u5s5heqm 349 9 we -PRON- PRP cord-132120-u5s5heqm 349 10 must must MD cord-132120-u5s5heqm 349 11 ascertain ascertain VB cord-132120-u5s5heqm 349 12 what what WP cord-132120-u5s5heqm 349 13 is be VBZ cord-132120-u5s5heqm 349 14 the the DT cord-132120-u5s5heqm 349 15 population population NN cord-132120-u5s5heqm 349 16 - - HYPH cord-132120-u5s5heqm 349 17 level level NN cord-132120-u5s5heqm 349 18 contrast contrast NN cord-132120-u5s5heqm 349 19 and and CC cord-132120-u5s5heqm 349 20 whether whether IN cord-132120-u5s5heqm 349 21 this this DT cord-132120-u5s5heqm 349 22 should should MD cord-132120-u5s5heqm 349 23 be be VB cord-132120-u5s5heqm 349 24 of of IN cord-132120-u5s5heqm 349 25 genuine genuine JJ cord-132120-u5s5heqm 349 26 scientific scientific JJ cord-132120-u5s5heqm 349 27 interest interest NN cord-132120-u5s5heqm 349 28 . . . cord-132120-u5s5heqm 350 1 Otherwise otherwise RB cord-132120-u5s5heqm 350 2 , , , cord-132120-u5s5heqm 350 3 we -PRON- PRP cord-132120-u5s5heqm 350 4 are be VBP cord-132120-u5s5heqm 350 5 comparing compare VBG cord-132120-u5s5heqm 350 6 apples apple NNS cord-132120-u5s5heqm 350 7 and and CC cord-132120-u5s5heqm 350 8 oranges orange NNS cord-132120-u5s5heqm 350 9 . . . cord-132120-u5s5heqm 351 1 Not not RB cord-132120-u5s5heqm 351 2 only only RB cord-132120-u5s5heqm 351 3 this this DT cord-132120-u5s5heqm 351 4 , , , cord-132120-u5s5heqm 351 5 but but CC cord-132120-u5s5heqm 351 6 the the DT cord-132120-u5s5heqm 351 7 two two CD cord-132120-u5s5heqm 351 8 comparisons comparison NNS cord-132120-u5s5heqm 351 9 come come VBP cord-132120-u5s5heqm 351 10 with with IN cord-132120-u5s5heqm 351 11 different different JJ cord-132120-u5s5heqm 351 12 levels level NNS cord-132120-u5s5heqm 351 13 of of IN cord-132120-u5s5heqm 351 14 error error NN cord-132120-u5s5heqm 351 15 induced induce VBN cord-132120-u5s5heqm 351 16 by by IN cord-132120-u5s5heqm 351 17 selection selection NN cord-132120-u5s5heqm 351 18 bias bias NN cord-132120-u5s5heqm 351 19 and and CC cord-132120-u5s5heqm 351 20 measurement measurement NN cord-132120-u5s5heqm 351 21 error error NN cord-132120-u5s5heqm 351 22 . . . cord-132120-u5s5heqm 352 1 An an DT cord-132120-u5s5heqm 352 2 alternative alternative NN cord-132120-u5s5heqm 352 3 is be VBZ cord-132120-u5s5heqm 352 4 the the DT cord-132120-u5s5heqm 352 5 comparison comparison NN cord-132120-u5s5heqm 352 6 on on IN cord-132120-u5s5heqm 352 7 the the DT cord-132120-u5s5heqm 352 8 rates rate NNS cord-132120-u5s5heqm 352 9 of of IN cord-132120-u5s5heqm 352 10 casecount casecount NN cord-132120-u5s5heqm 352 11 change change NN cord-132120-u5s5heqm 352 12 over over IN cord-132120-u5s5heqm 352 13 time time NN cord-132120-u5s5heqm 352 14 . . . cord-132120-u5s5heqm 353 1 Here here RB cord-132120-u5s5heqm 353 2 , , , cord-132120-u5s5heqm 353 3 for for IN cord-132120-u5s5heqm 353 4 simplicity simplicity NN cord-132120-u5s5heqm 353 5 , , , cord-132120-u5s5heqm 353 6 we -PRON- PRP cord-132120-u5s5heqm 353 7 focus focus VBP cord-132120-u5s5heqm 353 8 on on IN cord-132120-u5s5heqm 353 9 comparing compare VBG cord-132120-u5s5heqm 353 10 the the DT cord-132120-u5s5heqm 353 11 estimated estimate VBN cord-132120-u5s5heqm 353 12 effective effective JJ cord-132120-u5s5heqm 353 13 reproductive reproductive JJ cord-132120-u5s5heqm 353 14 rate rate NN cord-132120-u5s5heqm 353 15 . . . cord-132120-u5s5heqm 354 1 We -PRON- PRP cord-132120-u5s5heqm 354 2 assume assume VBP cord-132120-u5s5heqm 354 3 the the DT cord-132120-u5s5heqm 354 4 two two CD cord-132120-u5s5heqm 354 5 time time NN cord-132120-u5s5heqm 354 6 - - HYPH cord-132120-u5s5heqm 354 7 series series NN cord-132120-u5s5heqm 354 8 are be VBP cord-132120-u5s5heqm 354 9 aligned align VBN cord-132120-u5s5heqm 354 10 so so IN cord-132120-u5s5heqm 354 11 that that IN cord-132120-u5s5heqm 354 12 t t NN cord-132120-u5s5heqm 354 13 = = SYM cord-132120-u5s5heqm 354 14 0 0 NFP cord-132120-u5s5heqm 354 15 is be VBZ cord-132120-u5s5heqm 354 16 the the DT cord-132120-u5s5heqm 354 17 time time NN cord-132120-u5s5heqm 354 18 of of IN cord-132120-u5s5heqm 354 19 first first JJ cord-132120-u5s5heqm 354 20 case case NN cord-132120-u5s5heqm 354 21 . . . cord-132120-u5s5heqm 355 1 This this DT cord-132120-u5s5heqm 355 2 negates negate VBZ cord-132120-u5s5heqm 355 3 alignment alignment NN cord-132120-u5s5heqm 355 4 issues issue NNS cord-132120-u5s5heqm 355 5 and and CC cord-132120-u5s5heqm 355 6 is be VBZ cord-132120-u5s5heqm 355 7 common common JJ cord-132120-u5s5heqm 355 8 in in IN cord-132120-u5s5heqm 355 9 practice practice NN cord-132120-u5s5heqm 355 10 . . . cord-132120-u5s5heqm 356 1 While while IN cord-132120-u5s5heqm 356 2 the the DT cord-132120-u5s5heqm 356 3 above above JJ cord-132120-u5s5heqm 356 4 issues issue NNS cord-132120-u5s5heqm 356 5 on on IN cord-132120-u5s5heqm 356 6 Z z NN cord-132120-u5s5heqm 356 7 - - HYPH cord-132120-u5s5heqm 356 8 scores score NNS cord-132120-u5s5heqm 356 9 and and CC cord-132120-u5s5heqm 356 10 effective effective JJ cord-132120-u5s5heqm 356 11 sample sample NN cord-132120-u5s5heqm 356 12 size size NN cord-132120-u5s5heqm 356 13 are be VBP cord-132120-u5s5heqm 356 14 important important JJ cord-132120-u5s5heqm 356 15 , , , cord-132120-u5s5heqm 356 16 here here RB cord-132120-u5s5heqm 356 17 we -PRON- PRP cord-132120-u5s5heqm 356 18 highlight highlight VBP cord-132120-u5s5heqm 356 19 a a DT cord-132120-u5s5heqm 356 20 separate separate JJ cord-132120-u5s5heqm 356 21 issue issue NN cord-132120-u5s5heqm 356 22 . . . cord-132120-u5s5heqm 357 1 Namely namely RB cord-132120-u5s5heqm 357 2 , , , cord-132120-u5s5heqm 357 3 the the DT cord-132120-u5s5heqm 357 4 interaction interaction NN cord-132120-u5s5heqm 357 5 of of IN cord-132120-u5s5heqm 357 6 biases bias NNS cord-132120-u5s5heqm 357 7 in in IN cord-132120-u5s5heqm 357 8 estimation estimation NN cord-132120-u5s5heqm 357 9 of of IN cord-132120-u5s5heqm 357 10 the the DT cord-132120-u5s5heqm 357 11 two two CD cord-132120-u5s5heqm 357 12 trajectories trajectory NNS cord-132120-u5s5heqm 357 13 when when WRB cord-132120-u5s5heqm 357 14 the the DT cord-132120-u5s5heqm 357 15 peak peak NN cord-132120-u5s5heqm 357 16 infection infection NN cord-132120-u5s5heqm 357 17 times time NNS cord-132120-u5s5heqm 357 18 differ differ VBP cord-132120-u5s5heqm 357 19 slightly slightly RB cord-132120-u5s5heqm 357 20 . . . cord-132120-u5s5heqm 358 1 We -PRON- PRP cord-132120-u5s5heqm 358 2 can can MD cord-132120-u5s5heqm 358 3 write write VB cord-132120-u5s5heqm 358 4 the the DT cord-132120-u5s5heqm 358 5 difference difference NN cord-132120-u5s5heqm 358 6 in in IN cord-132120-u5s5heqm 358 7 the the DT cord-132120-u5s5heqm 358 8 rates rate NNS cord-132120-u5s5heqm 358 9 as as IN cord-132120-u5s5heqm 358 10 R R NNP cord-132120-u5s5heqm 358 11 t1 t1 NN cord-132120-u5s5heqm 358 12 − − NN cord-132120-u5s5heqm 358 13 R r NN cord-132120-u5s5heqm 358 14 t2 t2 NN cord-132120-u5s5heqm 358 15 = = SYM cord-132120-u5s5heqm 358 16 1 1 CD cord-132120-u5s5heqm 358 17 γ γ NN cord-132120-u5s5heqm 358 18 log log NN cord-132120-u5s5heqm 358 19 1 1 CD cord-132120-u5s5heqm 358 20 + + SYM cord-132120-u5s5heqm 358 21 e e NN cord-132120-u5s5heqm 358 22 1 1 CD cord-132120-u5s5heqm 358 23 t t NN cord-132120-u5s5heqm 358 24 1 1 CD cord-132120-u5s5heqm 359 1 + + CC cord-132120-u5s5heqm 360 1 e e LS cord-132120-u5s5heqm 360 2 2 2 CD cord-132120-u5s5heqm 360 3 t t NN cord-132120-u5s5heqm 360 4 where where WRB cord-132120-u5s5heqm 360 5 e e NNP cord-132120-u5s5heqm 360 6 jt jt NNP cord-132120-u5s5heqm 360 7 is be VBZ cord-132120-u5s5heqm 360 8 the the DT cord-132120-u5s5heqm 360 9 error error NN cord-132120-u5s5heqm 360 10 associated associate VBN cord-132120-u5s5heqm 360 11 given give VBN cord-132120-u5s5heqm 360 12 in in IN cord-132120-u5s5heqm 360 13 Section section NN cord-132120-u5s5heqm 360 14 2.3 2.3 CD cord-132120-u5s5heqm 360 15 . . . cord-132120-u5s5heqm 361 1 Recall recall VB cord-132120-u5s5heqm 361 2 that that IN cord-132120-u5s5heqm 361 3 the the DT cord-132120-u5s5heqm 361 4 error error NN cord-132120-u5s5heqm 361 5 allowed allow VBN cord-132120-u5s5heqm 361 6 for for IN cord-132120-u5s5heqm 361 7 over over IN cord-132120-u5s5heqm 361 8 - - HYPH cord-132120-u5s5heqm 361 9 estimation estimation NN cord-132120-u5s5heqm 361 10 prior prior RB cord-132120-u5s5heqm 361 11 to to IN cord-132120-u5s5heqm 361 12 the the DT cord-132120-u5s5heqm 361 13 peak peak NN cord-132120-u5s5heqm 361 14 and and CC cord-132120-u5s5heqm 361 15 then then RB cord-132120-u5s5heqm 361 16 under under NN cord-132120-u5s5heqm 361 17 - - HYPH cord-132120-u5s5heqm 361 18 estimation estimation NN cord-132120-u5s5heqm 361 19 post post JJ cord-132120-u5s5heqm 361 20 - - JJ cord-132120-u5s5heqm 361 21 peak peak NN cord-132120-u5s5heqm 361 22 . . . cord-132120-u5s5heqm 362 1 Here here RB cord-132120-u5s5heqm 362 2 , , , cord-132120-u5s5heqm 362 3 these these DT cord-132120-u5s5heqm 362 4 errors error NNS cord-132120-u5s5heqm 362 5 can can MD cord-132120-u5s5heqm 362 6 mingle mingle VB cord-132120-u5s5heqm 362 7 in in IN cord-132120-u5s5heqm 362 8 interesting interesting JJ cord-132120-u5s5heqm 362 9 ways way NNS cord-132120-u5s5heqm 362 10 . . . cord-132120-u5s5heqm 363 1 Consider consider VB cord-132120-u5s5heqm 363 2 two two CD cord-132120-u5s5heqm 363 3 countries country NNS cord-132120-u5s5heqm 363 4 ( ( -LRB- cord-132120-u5s5heqm 363 5 A a NN cord-132120-u5s5heqm 363 6 and and CC cord-132120-u5s5heqm 363 7 B B NNP cord-132120-u5s5heqm 363 8 ) ) -RRB- cord-132120-u5s5heqm 363 9 in in IN cord-132120-u5s5heqm 363 10 which which WDT cord-132120-u5s5heqm 363 11 the the DT cord-132120-u5s5heqm 363 12 peak peak NN cord-132120-u5s5heqm 363 13 occurs occur VBZ cord-132120-u5s5heqm 363 14 2 2 CD cord-132120-u5s5heqm 363 15 weeks week NNS cord-132120-u5s5heqm 363 16 prior prior RB cord-132120-u5s5heqm 363 17 for for IN cord-132120-u5s5heqm 364 1 country country NN cord-132120-u5s5heqm 364 2 A a DT cord-132120-u5s5heqm 364 3 then then RB cord-132120-u5s5heqm 364 4 country country NN cord-132120-u5s5heqm 364 5 B b NN cord-132120-u5s5heqm 364 6 but but CC cord-132120-u5s5heqm 364 7 other other JJ cord-132120-u5s5heqm 364 8 . . . cord-132120-u5s5heqm 365 1 Figure figure NN cord-132120-u5s5heqm 365 2 4 4 CD cord-132120-u5s5heqm 365 3 presents present VBZ cord-132120-u5s5heqm 365 4 such such PDT cord-132120-u5s5heqm 365 5 a a DT cord-132120-u5s5heqm 365 6 comparison comparison NN cord-132120-u5s5heqm 365 7 where where WRB cord-132120-u5s5heqm 365 8 each each DT cord-132120-u5s5heqm 365 9 country country NN cord-132120-u5s5heqm 365 10 's 's POS cord-132120-u5s5heqm 365 11 disease disease NN cord-132120-u5s5heqm 365 12 trajectory trajectory NN cord-132120-u5s5heqm 365 13 follows follow VBZ cord-132120-u5s5heqm 365 14 an an DT cord-132120-u5s5heqm 365 15 SIR SIR NNP cord-132120-u5s5heqm 365 16 model model NN cord-132120-u5s5heqm 365 17 as as IN cord-132120-u5s5heqm 365 18 described describe VBN cord-132120-u5s5heqm 365 19 in in IN cord-132120-u5s5heqm 365 20 Section section NN cord-132120-u5s5heqm 365 21 2.2 2.2 CD cord-132120-u5s5heqm 365 22 with with IN cord-132120-u5s5heqm 365 23 different different JJ cord-132120-u5s5heqm 365 24 parameters parameter NNS cord-132120-u5s5heqm 365 25 . . . cord-132120-u5s5heqm 366 1 Figure figure NN cord-132120-u5s5heqm 366 2 4b 4b NNS cord-132120-u5s5heqm 366 3 shows show VBZ cord-132120-u5s5heqm 366 4 how how WRB cord-132120-u5s5heqm 366 5 the the DT cord-132120-u5s5heqm 366 6 errors error NNS cord-132120-u5s5heqm 366 7 interact interact VBP cord-132120-u5s5heqm 366 8 in in IN cord-132120-u5s5heqm 366 9 complex complex JJ cord-132120-u5s5heqm 366 10 ways way NNS cord-132120-u5s5heqm 366 11 . . . cord-132120-u5s5heqm 367 1 First first RB cord-132120-u5s5heqm 367 2 , , , cord-132120-u5s5heqm 367 3 the the DT cord-132120-u5s5heqm 367 4 gap gap NN cord-132120-u5s5heqm 367 5 is be VBZ cord-132120-u5s5heqm 367 6 correctly correctly RB cord-132120-u5s5heqm 367 7 estimated estimate VBN cord-132120-u5s5heqm 367 8 ; ; : cord-132120-u5s5heqm 367 9 then then RB cord-132120-u5s5heqm 367 10 the the DT cord-132120-u5s5heqm 367 11 gap gap NN cord-132120-u5s5heqm 367 12 is be VBZ cord-132120-u5s5heqm 367 13 over over RB cord-132120-u5s5heqm 367 14 - - HYPH cord-132120-u5s5heqm 367 15 estimated estimate VBN cord-132120-u5s5heqm 367 16 as as IN cord-132120-u5s5heqm 368 1 country country NNP cord-132120-u5s5heqm 368 2 A A NNP cord-132120-u5s5heqm 368 3 sees see VBZ cord-132120-u5s5heqm 368 4 a a DT cord-132120-u5s5heqm 368 5 rapid rapid JJ cord-132120-u5s5heqm 368 6 rise rise NN cord-132120-u5s5heqm 368 7 in in IN cord-132120-u5s5heqm 368 8 cases case NNS cord-132120-u5s5heqm 368 9 ; ; : cord-132120-u5s5heqm 368 10 then then RB cord-132120-u5s5heqm 368 11 the the DT cord-132120-u5s5heqm 368 12 gap gap NN cord-132120-u5s5heqm 368 13 is be VBZ cord-132120-u5s5heqm 368 14 even even RB cord-132120-u5s5heqm 368 15 more more RBR cord-132120-u5s5heqm 368 16 over over RB cord-132120-u5s5heqm 368 17 - - HYPH cord-132120-u5s5heqm 368 18 estimated estimate VBN cord-132120-u5s5heqm 368 19 as as IN cord-132120-u5s5heqm 368 20 country country NN cord-132120-u5s5heqm 368 21 A A NNP cord-132120-u5s5heqm 368 22 improves improve VBZ cord-132120-u5s5heqm 368 23 and and CC cord-132120-u5s5heqm 368 24 the the DT cord-132120-u5s5heqm 368 25 rate rate NN cord-132120-u5s5heqm 368 26 is be VBZ cord-132120-u5s5heqm 368 27 under under RB cord-132120-u5s5heqm 368 28 - - HYPH cord-132120-u5s5heqm 368 29 estimated estimate VBN cord-132120-u5s5heqm 368 30 while while IN cord-132120-u5s5heqm 368 31 country country NN cord-132120-u5s5heqm 368 32 B B NNP cord-132120-u5s5heqm 368 33 sees see VBZ cord-132120-u5s5heqm 368 34 a a DT cord-132120-u5s5heqm 368 35 rapid rapid JJ cord-132120-u5s5heqm 368 36 increase increase NN cord-132120-u5s5heqm 368 37 in in IN cord-132120-u5s5heqm 368 38 their -PRON- PRP$ cord-132120-u5s5heqm 368 39 case case NN cord-132120-u5s5heqm 368 40 - - HYPH cord-132120-u5s5heqm 368 41 count count NN cord-132120-u5s5heqm 368 42 and and CC cord-132120-u5s5heqm 368 43 their -PRON- PRP$ cord-132120-u5s5heqm 368 44 rate rate NN cord-132120-u5s5heqm 368 45 is be VBZ cord-132120-u5s5heqm 368 46 over over RB cord-132120-u5s5heqm 368 47 - - HYPH cord-132120-u5s5heqm 368 48 estimated estimate VBN cord-132120-u5s5heqm 368 49 ; ; : cord-132120-u5s5heqm 368 50 then then RB cord-132120-u5s5heqm 368 51 country country NN cord-132120-u5s5heqm 368 52 A A NNP cord-132120-u5s5heqm 368 53 's 's POS cord-132120-u5s5heqm 368 54 rate rate NN cord-132120-u5s5heqm 368 55 is be VBZ cord-132120-u5s5heqm 368 56 correctly correctly RB cord-132120-u5s5heqm 368 57 estimated estimate VBN cord-132120-u5s5heqm 368 58 while while IN cord-132120-u5s5heqm 368 59 country country NN cord-132120-u5s5heqm 368 60 B B NNP cord-132120-u5s5heqm 368 61 's 's POS cord-132120-u5s5heqm 368 62 rate rate NN cord-132120-u5s5heqm 368 63 is be VBZ cord-132120-u5s5heqm 368 64 under under RB cord-132120-u5s5heqm 368 65 - - HYPH cord-132120-u5s5heqm 368 66 estimated estimate VBN cord-132120-u5s5heqm 368 67 as as IN cord-132120-u5s5heqm 368 68 it -PRON- PRP cord-132120-u5s5heqm 368 69 sees see VBZ cord-132120-u5s5heqm 368 70 improvement improvement NN cord-132120-u5s5heqm 368 71 in in IN cord-132120-u5s5heqm 368 72 infection infection NN cord-132120-u5s5heqm 368 73 rates rate NNS cord-132120-u5s5heqm 368 74 ; ; : cord-132120-u5s5heqm 368 75 finally finally RB cord-132120-u5s5heqm 368 76 , , , cord-132120-u5s5heqm 368 77 the the DT cord-132120-u5s5heqm 368 78 gap gap NN cord-132120-u5s5heqm 368 79 disappears disappear VBZ cord-132120-u5s5heqm 368 80 . . . cord-132120-u5s5heqm 369 1 We -PRON- PRP cord-132120-u5s5heqm 369 2 are be VBP cord-132120-u5s5heqm 369 3 not not RB cord-132120-u5s5heqm 369 4 claiming claim VBG cord-132120-u5s5heqm 369 5 this this DT cord-132120-u5s5heqm 369 6 will will MD cord-132120-u5s5heqm 369 7 always always RB cord-132120-u5s5heqm 369 8 be be VB cord-132120-u5s5heqm 369 9 the the DT cord-132120-u5s5heqm 369 10 case case NN cord-132120-u5s5heqm 369 11 , , , cord-132120-u5s5heqm 369 12 and and CC cord-132120-u5s5heqm 369 13 indeed indeed RB cord-132120-u5s5heqm 369 14 for for IN cord-132120-u5s5heqm 369 15 small small JJ cord-132120-u5s5heqm 369 16 enough enough JJ cord-132120-u5s5heqm 369 17 selection selection NN cord-132120-u5s5heqm 369 18 bias bias NN cord-132120-u5s5heqm 369 19 and/or and/or CC cord-132120-u5s5heqm 369 20 large large JJ cord-132120-u5s5heqm 369 21 gaps gap NNS cord-132120-u5s5heqm 369 22 in in IN cord-132120-u5s5heqm 369 23 case case NN cord-132120-u5s5heqm 369 24 - - HYPH cord-132120-u5s5heqm 369 25 counts count VBZ cord-132120-u5s5heqm 369 26 such such JJ cord-132120-u5s5heqm 369 27 complex complex JJ cord-132120-u5s5heqm 369 28 behaviour behaviour NN cord-132120-u5s5heqm 369 29 will will MD cord-132120-u5s5heqm 369 30 not not RB cord-132120-u5s5heqm 369 31 occur occur VB cord-132120-u5s5heqm 369 32 ; ; : cord-132120-u5s5heqm 369 33 however however RB cord-132120-u5s5heqm 369 34 , , , cord-132120-u5s5heqm 369 35 this this DT cord-132120-u5s5heqm 369 36 is be VBZ cord-132120-u5s5heqm 369 37 simply simply RB cord-132120-u5s5heqm 369 38 to to TO cord-132120-u5s5heqm 369 39 point point VB cord-132120-u5s5heqm 369 40 out out RP cord-132120-u5s5heqm 369 41 how how WRB cord-132120-u5s5heqm 369 42 observed observed JJ cord-132120-u5s5heqm 369 43 information information NN cord-132120-u5s5heqm 369 44 can can MD cord-132120-u5s5heqm 369 45 tell tell VB cord-132120-u5s5heqm 369 46 a a DT cord-132120-u5s5heqm 369 47 more more RBR cord-132120-u5s5heqm 369 48 complex complex JJ cord-132120-u5s5heqm 369 49 story story NN cord-132120-u5s5heqm 369 50 than than IN cord-132120-u5s5heqm 369 51 the the DT cord-132120-u5s5heqm 369 52 truth truth NN cord-132120-u5s5heqm 369 53 ( ( -LRB- cord-132120-u5s5heqm 369 54 i.e. i.e. FW cord-132120-u5s5heqm 369 55 , , , cord-132120-u5s5heqm 369 56 country country NN cord-132120-u5s5heqm 369 57 A a NN cord-132120-u5s5heqm 369 58 recovers recover VBZ cord-132120-u5s5heqm 369 59 1 1 CD cord-132120-u5s5heqm 369 60 month month NN cord-132120-u5s5heqm 369 61 prior prior RB cord-132120-u5s5heqm 369 62 to to IN cord-132120-u5s5heqm 369 63 country country NN cord-132120-u5s5heqm 369 64 B B NNP cord-132120-u5s5heqm 369 65 ) ) -RRB- cord-132120-u5s5heqm 369 66 . . . cord-132120-u5s5heqm 370 1 In in IN cord-132120-u5s5heqm 370 2 prior prior JJ cord-132120-u5s5heqm 370 3 sections section NNS cord-132120-u5s5heqm 370 4 , , , cord-132120-u5s5heqm 370 5 we -PRON- PRP cord-132120-u5s5heqm 370 6 have have VBP cord-132120-u5s5heqm 370 7 discussed discuss VBN cord-132120-u5s5heqm 370 8 the the DT cord-132120-u5s5heqm 370 9 impact impact NN cord-132120-u5s5heqm 370 10 of of IN cord-132120-u5s5heqm 370 11 selection selection NN cord-132120-u5s5heqm 370 12 bias bias NN cord-132120-u5s5heqm 370 13 and and CC cord-132120-u5s5heqm 370 14 measurement measurement NN cord-132120-u5s5heqm 370 15 error error NN cord-132120-u5s5heqm 370 16 on on IN cord-132120-u5s5heqm 370 17 a a DT cord-132120-u5s5heqm 370 18 range range NN cord-132120-u5s5heqm 370 19 of of IN cord-132120-u5s5heqm 370 20 outcomes outcome NNS cord-132120-u5s5heqm 370 21 of of IN cord-132120-u5s5heqm 370 22 interest interest NN cord-132120-u5s5heqm 370 23 in in IN cord-132120-u5s5heqm 370 24 COVID-19 COVID-19 NNP cord-132120-u5s5heqm 370 25 research research NN cord-132120-u5s5heqm 370 26 . . . cord-132120-u5s5heqm 371 1 Here here RB cord-132120-u5s5heqm 371 2 , , , cord-132120-u5s5heqm 371 3 we -PRON- PRP cord-132120-u5s5heqm 371 4 try try VBP cord-132120-u5s5heqm 371 5 and and CC cord-132120-u5s5heqm 371 6 address address VB cord-132120-u5s5heqm 371 7 the the DT cord-132120-u5s5heqm 371 8 empirical empirical JJ cord-132120-u5s5heqm 371 9 question question NN cord-132120-u5s5heqm 371 10 of of IN cord-132120-u5s5heqm 371 11 how how WRB cord-132120-u5s5heqm 371 12 to to TO cord-132120-u5s5heqm 371 13 estimate estimate VB cord-132120-u5s5heqm 371 14 the the DT cord-132120-u5s5heqm 371 15 data data NN cord-132120-u5s5heqm 371 16 quality quality NN cord-132120-u5s5heqm 371 17 E e NN cord-132120-u5s5heqm 371 18 I i NN cord-132120-u5s5heqm 371 19 [ [ -LRB- cord-132120-u5s5heqm 371 20 ρ ρ NFP cord-132120-u5s5heqm 371 21 I -PRON- PRP cord-132120-u5s5heqm 371 22 , , , cord-132120-u5s5heqm 371 23 Y Y NNP cord-132120-u5s5heqm 371 24 ] ] -RRB- cord-132120-u5s5heqm 371 25 in in IN cord-132120-u5s5heqm 371 26 the the DT cord-132120-u5s5heqm 371 27 current current JJ cord-132120-u5s5heqm 371 28 context context NN cord-132120-u5s5heqm 371 29 . . . cord-132120-u5s5heqm 372 1 In in IN cord-132120-u5s5heqm 372 2 Meng Meng NNP cord-132120-u5s5heqm 372 3 [ [ -LRB- cord-132120-u5s5heqm 372 4 2018 2018 CD cord-132120-u5s5heqm 372 5 ] ] -RRB- cord-132120-u5s5heqm 372 6 , , , cord-132120-u5s5heqm 372 7 estimation estimation NN cord-132120-u5s5heqm 372 8 of of IN cord-132120-u5s5heqm 372 9 the the DT cord-132120-u5s5heqm 372 10 data data NN cord-132120-u5s5heqm 372 11 quality quality NN cord-132120-u5s5heqm 372 12 relied rely VBD cord-132120-u5s5heqm 372 13 on on IN cord-132120-u5s5heqm 372 14 observing observe VBG cord-132120-u5s5heqm 372 15 the the DT cord-132120-u5s5heqm 372 16 true true JJ cord-132120-u5s5heqm 372 17 outcome outcome NN cord-132120-u5s5heqm 372 18 . . . cord-132120-u5s5heqm 373 1 In in IN cord-132120-u5s5heqm 373 2 election election NN cord-132120-u5s5heqm 373 3 data datum NNS cord-132120-u5s5heqm 373 4 , , , cord-132120-u5s5heqm 373 5 for for IN cord-132120-u5s5heqm 373 6 example example NN cord-132120-u5s5heqm 373 7 , , , cord-132120-u5s5heqm 373 8 we -PRON- PRP cord-132120-u5s5heqm 373 9 observe observe VBP cord-132120-u5s5heqm 373 10 the the DT cord-132120-u5s5heqm 373 11 vote vote NN cord-132120-u5s5heqm 373 12 totals total NNS cord-132120-u5s5heqm 373 13 after after IN cord-132120-u5s5heqm 373 14 the the DT cord-132120-u5s5heqm 373 15 fact fact NN cord-132120-u5s5heqm 373 16 and and CC cord-132120-u5s5heqm 373 17 can can MD cord-132120-u5s5heqm 373 18 use use VB cord-132120-u5s5heqm 373 19 this this DT cord-132120-u5s5heqm 373 20 as as IN cord-132120-u5s5heqm 373 21 ground ground NN cord-132120-u5s5heqm 373 22 truth truth NN cord-132120-u5s5heqm 373 23 . . . cord-132120-u5s5heqm 374 1 We -PRON- PRP cord-132120-u5s5heqm 374 2 are be VBP cord-132120-u5s5heqm 374 3 not not RB cord-132120-u5s5heqm 374 4 so so RB cord-132120-u5s5heqm 374 5 lucky lucky JJ cord-132120-u5s5heqm 374 6 in in IN cord-132120-u5s5heqm 374 7 the the DT cord-132120-u5s5heqm 374 8 current current JJ cord-132120-u5s5heqm 374 9 crisis crisis NN cord-132120-u5s5heqm 374 10 . . . cord-132120-u5s5heqm 375 1 Here here RB cord-132120-u5s5heqm 375 2 , , , cord-132120-u5s5heqm 375 3 we -PRON- PRP cord-132120-u5s5heqm 375 4 propose propose VBP cord-132120-u5s5heqm 375 5 a a DT cord-132120-u5s5heqm 375 6 simple simple JJ cord-132120-u5s5heqm 375 7 procedure procedure NN cord-132120-u5s5heqm 375 8 that that WDT cord-132120-u5s5heqm 375 9 uses use VBZ cord-132120-u5s5heqm 375 10 survey survey NN cord-132120-u5s5heqm 375 11 samples sample NNS cord-132120-u5s5heqm 375 12 as as IN cord-132120-u5s5heqm 375 13 noisy noisy JJ cord-132120-u5s5heqm 375 14 but but CC cord-132120-u5s5heqm 375 15 unbiased unbiased JJ cord-132120-u5s5heqm 375 16 estimates estimate NNS cord-132120-u5s5heqm 375 17 of of IN cord-132120-u5s5heqm 375 18 the the DT cord-132120-u5s5heqm 375 19 true true JJ cord-132120-u5s5heqm 375 20 prevalence prevalence NN cord-132120-u5s5heqm 375 21 . . . cord-132120-u5s5heqm 376 1 Our -PRON- PRP$ cord-132120-u5s5heqm 376 2 goal goal NN cord-132120-u5s5heqm 376 3 is be VBZ cord-132120-u5s5heqm 376 4 less less RBR cord-132120-u5s5heqm 376 5 inferential inferential JJ cord-132120-u5s5heqm 376 6 and and CC cord-132120-u5s5heqm 376 7 more more JJR cord-132120-u5s5heqm 376 8 to to TO cord-132120-u5s5heqm 376 9 provide provide VB cord-132120-u5s5heqm 376 10 a a DT cord-132120-u5s5heqm 376 11 sensitivity sensitivity NN cord-132120-u5s5heqm 376 12 analysis analysis NN cord-132120-u5s5heqm 376 13 that that WDT cord-132120-u5s5heqm 376 14 can can MD cord-132120-u5s5heqm 376 15 aid aid VB cord-132120-u5s5heqm 376 16 in in IN cord-132120-u5s5heqm 376 17 understanding understand VBG cord-132120-u5s5heqm 376 18 the the DT cord-132120-u5s5heqm 376 19 amount amount NN cord-132120-u5s5heqm 376 20 of of IN cord-132120-u5s5heqm 376 21 information information NN cord-132120-u5s5heqm 376 22 in in IN cord-132120-u5s5heqm 376 23 observational observational JJ cord-132120-u5s5heqm 376 24 COVID COVID NNP cord-132120-u5s5heqm 376 25 case case NN cord-132120-u5s5heqm 376 26 - - HYPH cord-132120-u5s5heqm 376 27 count count NN cord-132120-u5s5heqm 376 28 data datum NNS cord-132120-u5s5heqm 376 29 . . . cord-132120-u5s5heqm 377 1 On on IN cord-132120-u5s5heqm 377 2 April April NNP cord-132120-u5s5heqm 377 3 23rd 23rd NN cord-132120-u5s5heqm 377 4 , , , cord-132120-u5s5heqm 377 5 Andrew Andrew NNP cord-132120-u5s5heqm 377 6 Cuomo Cuomo NNP cord-132120-u5s5heqm 377 7 announced announce VBD cord-132120-u5s5heqm 377 8 results result NNS cord-132120-u5s5heqm 377 9 from from IN cord-132120-u5s5heqm 377 10 a a DT cord-132120-u5s5heqm 377 11 study study NN cord-132120-u5s5heqm 377 12 in in IN cord-132120-u5s5heqm 377 13 New New NNP cord-132120-u5s5heqm 377 14 York York NNP cord-132120-u5s5heqm 377 15 state state NN cord-132120-u5s5heqm 377 16 . . . cord-132120-u5s5heqm 378 1 It -PRON- PRP cord-132120-u5s5heqm 378 2 found find VBD cord-132120-u5s5heqm 378 3 13.9 13.9 CD cord-132120-u5s5heqm 378 4 % % NN cord-132120-u5s5heqm 378 5 of of IN cord-132120-u5s5heqm 378 6 3,000 3,000 CD cord-132120-u5s5heqm 378 7 people people NNS cord-132120-u5s5heqm 378 8 tested test VBN cord-132120-u5s5heqm 378 9 across across IN cord-132120-u5s5heqm 378 10 the the DT cord-132120-u5s5heqm 378 11 state state NN cord-132120-u5s5heqm 378 12 had have VBD cord-132120-u5s5heqm 378 13 signs sign NNS cord-132120-u5s5heqm 378 14 of of IN cord-132120-u5s5heqm 378 15 the the DT cord-132120-u5s5heqm 378 16 virus virus NN cord-132120-u5s5heqm 378 17 . . . cord-132120-u5s5heqm 379 1 The the DT cord-132120-u5s5heqm 379 2 study study NN cord-132120-u5s5heqm 379 3 did do VBD cord-132120-u5s5heqm 379 4 not not RB cord-132120-u5s5heqm 379 5 report report VB cord-132120-u5s5heqm 379 6 sensitivity sensitivity NN cord-132120-u5s5heqm 379 7 and and CC cord-132120-u5s5heqm 379 8 specificity specificity NN cord-132120-u5s5heqm 379 9 ; ; : cord-132120-u5s5heqm 379 10 therefore therefore RB cord-132120-u5s5heqm 379 11 , , , cord-132120-u5s5heqm 379 12 we -PRON- PRP cord-132120-u5s5heqm 379 13 take take VBP cord-132120-u5s5heqm 379 14 reported report VBN cord-132120-u5s5heqm 379 15 measures measure NNS cord-132120-u5s5heqm 379 16 from from IN cord-132120-u5s5heqm 379 17 the the DT cord-132120-u5s5heqm 379 18 Santa Santa NNP cord-132120-u5s5heqm 379 19 Clara Clara NNP cord-132120-u5s5heqm 379 20 study study NN cord-132120-u5s5heqm 379 21 [ [ -LRB- cord-132120-u5s5heqm 379 22 Bendavid Bendavid NNP cord-132120-u5s5heqm 379 23 et et NNP cord-132120-u5s5heqm 379 24 al al NNP cord-132120-u5s5heqm 379 25 . . . cord-132120-u5s5heqm 380 1 , , , cord-132120-u5s5heqm 380 2 2020 2020 CD cord-132120-u5s5heqm 380 3 ] ] -RRB- cord-132120-u5s5heqm 380 4 3 3 CD cord-132120-u5s5heqm 380 5 . . . cord-132120-u5s5heqm 381 1 The the DT cord-132120-u5s5heqm 381 2 reported report VBN cord-132120-u5s5heqm 381 3 specificity specificity NN cord-132120-u5s5heqm 381 4 is be VBZ cord-132120-u5s5heqm 381 5 82.8 82.8 CD cord-132120-u5s5heqm 381 6 % % NN cord-132120-u5s5heqm 381 7 ( ( -LRB- cord-132120-u5s5heqm 381 8 95 95 CD cord-132120-u5s5heqm 381 9 % % NN cord-132120-u5s5heqm 381 10 CI ci NN cord-132120-u5s5heqm 381 11 : : : cord-132120-u5s5heqm 381 12 76.0 76.0 CD cord-132120-u5s5heqm 381 13 - - HYPH cord-132120-u5s5heqm 381 14 88.4 88.4 CD cord-132120-u5s5heqm 381 15 % % NN cord-132120-u5s5heqm 381 16 ) ) -RRB- cord-132120-u5s5heqm 381 17 and and CC cord-132120-u5s5heqm 381 18 sensitivity sensitivity NN cord-132120-u5s5heqm 381 19 is be VBZ cord-132120-u5s5heqm 381 20 99.5 99.5 CD cord-132120-u5s5heqm 381 21 % % NN cord-132120-u5s5heqm 381 22 ( ( -LRB- cord-132120-u5s5heqm 381 23 95 95 CD cord-132120-u5s5heqm 381 24 % % NN cord-132120-u5s5heqm 381 25 CI ci NN cord-132120-u5s5heqm 381 26 : : : cord-132120-u5s5heqm 381 27 99.2 99.2 CD cord-132120-u5s5heqm 381 28 - - HYPH cord-132120-u5s5heqm 381 29 99.7 99.7 CD cord-132120-u5s5heqm 381 30 % % NN cord-132120-u5s5heqm 381 31 ) ) -RRB- cord-132120-u5s5heqm 381 32 . . . cord-132120-u5s5heqm 382 1 This this DT cord-132120-u5s5heqm 382 2 corresponds correspond VBZ cord-132120-u5s5heqm 382 3 to to IN cord-132120-u5s5heqm 382 4 a a DT cord-132120-u5s5heqm 382 5 false false JJ cord-132120-u5s5heqm 382 6 negative negative JJ cord-132120-u5s5heqm 382 7 rate rate NN cord-132120-u5s5heqm 382 8 of of IN cord-132120-u5s5heqm 382 9 17.2 17.2 CD cord-132120-u5s5heqm 382 10 % % NN cord-132120-u5s5heqm 382 11 ( ( -LRB- cord-132120-u5s5heqm 382 12 11.6 11.6 CD cord-132120-u5s5heqm 382 13 - - SYM cord-132120-u5s5heqm 382 14 24.0 24.0 CD cord-132120-u5s5heqm 382 15 % % NN cord-132120-u5s5heqm 382 16 ) ) -RRB- cord-132120-u5s5heqm 382 17 and and CC cord-132120-u5s5heqm 382 18 false false JJ cord-132120-u5s5heqm 382 19 positive positive JJ cord-132120-u5s5heqm 382 20 rate rate NN cord-132120-u5s5heqm 382 21 of of IN cord-132120-u5s5heqm 382 22 0.5 0.5 CD cord-132120-u5s5heqm 382 23 % % NN cord-132120-u5s5heqm 382 24 ( ( -LRB- cord-132120-u5s5heqm 382 25 0.3 0.3 CD cord-132120-u5s5heqm 382 26 -0.8 -0.8 CD cord-132120-u5s5heqm 382 27 % % NN cord-132120-u5s5heqm 382 28 ) ) -RRB- cord-132120-u5s5heqm 382 29 . . . cord-132120-u5s5heqm 383 1 Correcting correct VBG cord-132120-u5s5heqm 383 2 for for IN cord-132120-u5s5heqm 383 3 these these DT cord-132120-u5s5heqm 383 4 rates rate NNS cord-132120-u5s5heqm 383 5 we -PRON- PRP cord-132120-u5s5heqm 383 6 have have VBP cord-132120-u5s5heqm 383 7 an an DT cord-132120-u5s5heqm 383 8 estimated estimate VBN cord-132120-u5s5heqm 383 9 prevalence prevalence NN cord-132120-u5s5heqm 383 10 of of IN cord-132120-u5s5heqm 383 11 15.9 15.9 CD cord-132120-u5s5heqm 383 12 % % NN cord-132120-u5s5heqm 383 13 with with IN cord-132120-u5s5heqm 383 14 a a DT cord-132120-u5s5heqm 383 15 range range NN cord-132120-u5s5heqm 383 16 of of IN cord-132120-u5s5heqm 383 17 14.8 14.8 CD cord-132120-u5s5heqm 383 18 % % NN cord-132120-u5s5heqm 383 19 to to IN cord-132120-u5s5heqm 383 20 17.0 17.0 CD cord-132120-u5s5heqm 383 21 % % NN cord-132120-u5s5heqm 383 22 using use VBG cord-132120-u5s5heqm 383 23 the the DT cord-132120-u5s5heqm 383 24 ranges range NNS cord-132120-u5s5heqm 383 25 of of IN cord-132120-u5s5heqm 383 26 the the DT cord-132120-u5s5heqm 383 27 false false JJ cord-132120-u5s5heqm 383 28 positive positive JJ cord-132120-u5s5heqm 383 29 and and CC cord-132120-u5s5heqm 383 30 negative negative JJ cord-132120-u5s5heqm 383 31 rates rate NNS cord-132120-u5s5heqm 383 32 . . . cord-132120-u5s5heqm 384 1 Figure figure NN cord-132120-u5s5heqm 384 2 5a 5a CD cord-132120-u5s5heqm 384 3 plots plot VBZ cord-132120-u5s5heqm 384 4 the the DT cord-132120-u5s5heqm 384 5 number number NN cord-132120-u5s5heqm 384 6 of of IN cord-132120-u5s5heqm 384 7 new new JJ cord-132120-u5s5heqm 384 8 total total JJ cord-132120-u5s5heqm 384 9 and and CC cord-132120-u5s5heqm 384 10 positive positive JJ cord-132120-u5s5heqm 384 11 tests test NNS cord-132120-u5s5heqm 384 12 per per IN cord-132120-u5s5heqm 384 13 day day NN cord-132120-u5s5heqm 384 14 . . . cord-132120-u5s5heqm 385 1 Figure figure NN cord-132120-u5s5heqm 385 2 5 5 CD cord-132120-u5s5heqm 385 3 plots plot NNS cord-132120-u5s5heqm 385 4 the the DT cord-132120-u5s5heqm 385 5 fraction fraction NN cord-132120-u5s5heqm 385 6 of of IN cord-132120-u5s5heqm 385 7 tests test NNS cord-132120-u5s5heqm 385 8 that that WDT cord-132120-u5s5heqm 385 9 were be VBD cord-132120-u5s5heqm 385 10 positiver positiver NNP cord-132120-u5s5heqm 385 11 per per IN cord-132120-u5s5heqm 385 12 day day NN cord-132120-u5s5heqm 385 13 . . . cord-132120-u5s5heqm 386 1 In in IN cord-132120-u5s5heqm 386 2 both both DT cord-132120-u5s5heqm 386 3 cases case NNS cord-132120-u5s5heqm 386 4 , , , cord-132120-u5s5heqm 386 5 we -PRON- PRP cord-132120-u5s5heqm 386 6 applied apply VBD cord-132120-u5s5heqm 386 7 an an DT cord-132120-u5s5heqm 386 8 exponential exponential JJ cord-132120-u5s5heqm 386 9 smoothing smoothing NN cord-132120-u5s5heqm 386 10 to to IN cord-132120-u5s5heqm 386 11 the the DT cord-132120-u5s5heqm 386 12 reported report VBN cord-132120-u5s5heqm 386 13 values value NNS cord-132120-u5s5heqm 386 14 because because IN cord-132120-u5s5heqm 386 15 the the DT cord-132120-u5s5heqm 386 16 spiky spiky JJ cord-132120-u5s5heqm 386 17 pattern pattern NN cord-132120-u5s5heqm 386 18 is be VBZ cord-132120-u5s5heqm 386 19 likely likely JJ cord-132120-u5s5heqm 386 20 due due JJ cord-132120-u5s5heqm 386 21 to to IN cord-132120-u5s5heqm 386 22 testing test VBG cord-132120-u5s5heqm 386 23 backlogs backlog NNS cord-132120-u5s5heqm 386 24 . . . cord-132120-u5s5heqm 387 1 Given give VBN cord-132120-u5s5heqm 387 2 the the DT cord-132120-u5s5heqm 387 3 report report NN cord-132120-u5s5heqm 387 4 was be VBD cord-132120-u5s5heqm 387 5 on on IN cord-132120-u5s5heqm 387 6 the the DT cord-132120-u5s5heqm 387 7 23rd 23rd NN cord-132120-u5s5heqm 387 8 , , , cord-132120-u5s5heqm 387 9 we -PRON- PRP cord-132120-u5s5heqm 387 10 suppose suppose VBP cord-132120-u5s5heqm 387 11 for for IN cord-132120-u5s5heqm 387 12 simplicity simplicity NN cord-132120-u5s5heqm 387 13 that that IN cord-132120-u5s5heqm 387 14 the the DT cord-132120-u5s5heqm 387 15 study study NN cord-132120-u5s5heqm 387 16 was be VBD cord-132120-u5s5heqm 387 17 run run VBN cord-132120-u5s5heqm 387 18 several several JJ cord-132120-u5s5heqm 387 19 days day NNS cord-132120-u5s5heqm 387 20 prior prior RB cord-132120-u5s5heqm 387 21 on on IN cord-132120-u5s5heqm 387 22 the the DT cord-132120-u5s5heqm 387 23 20th 20th NN cord-132120-u5s5heqm 387 24 of of IN cord-132120-u5s5heqm 387 25 April April NNP cord-132120-u5s5heqm 387 26 . . . cord-132120-u5s5heqm 388 1 On on IN cord-132120-u5s5heqm 388 2 the the DT cord-132120-u5s5heqm 388 3 20th 20th NN cord-132120-u5s5heqm 388 4 , , , cord-132120-u5s5heqm 388 5 there there EX cord-132120-u5s5heqm 388 6 were be VBD cord-132120-u5s5heqm 388 7 19 19 CD cord-132120-u5s5heqm 388 8 , , , cord-132120-u5s5heqm 388 9 654 654 CD cord-132120-u5s5heqm 388 10 tests test NNS cord-132120-u5s5heqm 388 11 performed perform VBN cord-132120-u5s5heqm 388 12 and and CC cord-132120-u5s5heqm 388 13 617 617 CD cord-132120-u5s5heqm 388 14 , , , cord-132120-u5s5heqm 388 15 555 555 CD cord-132120-u5s5heqm 388 16 tests test NNS cord-132120-u5s5heqm 388 17 had have VBD cord-132120-u5s5heqm 388 18 been be VBN cord-132120-u5s5heqm 388 19 performed perform VBN cord-132120-u5s5heqm 388 20 up up IN cord-132120-u5s5heqm 388 21 to to IN cord-132120-u5s5heqm 388 22 to to IN cord-132120-u5s5heqm 388 23 and and CC cord-132120-u5s5heqm 388 24 including include VBG cord-132120-u5s5heqm 388 25 the the DT cord-132120-u5s5heqm 388 26 19th 19th NN cord-132120-u5s5heqm 388 27 . . . cord-132120-u5s5heqm 389 1 The the DT cord-132120-u5s5heqm 389 2 population population NN cord-132120-u5s5heqm 389 3 of of IN cord-132120-u5s5heqm 389 4 New New NNP cord-132120-u5s5heqm 389 5 York York NNP cord-132120-u5s5heqm 389 6 state state NN cord-132120-u5s5heqm 389 7 is be VBZ cord-132120-u5s5heqm 389 8 19 19 CD cord-132120-u5s5heqm 389 9 , , , cord-132120-u5s5heqm 389 10 378 378 CD cord-132120-u5s5heqm 389 11 , , , cord-132120-u5s5heqm 389 12 102 102 CD cord-132120-u5s5heqm 389 13 . . . cord-132120-u5s5heqm 390 1 Subtracting subtract VBG cord-132120-u5s5heqm 390 2 off off RP cord-132120-u5s5heqm 390 3 the the DT cord-132120-u5s5heqm 390 4 number number NN cord-132120-u5s5heqm 390 5 of of IN cord-132120-u5s5heqm 390 6 individuals individual NNS cord-132120-u5s5heqm 390 7 who who WP cord-132120-u5s5heqm 390 8 had have VBD cord-132120-u5s5heqm 390 9 already already RB cord-132120-u5s5heqm 390 10 been be VBN cord-132120-u5s5heqm 390 11 tested test VBN cord-132120-u5s5heqm 390 12 yields yield NNS cord-132120-u5s5heqm 390 13 a a DT cord-132120-u5s5heqm 390 14 sampling sampling NN cord-132120-u5s5heqm 390 15 fraction fraction NN cord-132120-u5s5heqm 391 1 Here here RB cord-132120-u5s5heqm 391 2 , , , cord-132120-u5s5heqm 391 3 we -PRON- PRP cord-132120-u5s5heqm 391 4 assume assume VBP cord-132120-u5s5heqm 391 5 the the DT cord-132120-u5s5heqm 391 6 New New NNP cord-132120-u5s5heqm 391 7 York York NNP cord-132120-u5s5heqm 391 8 survey survey NN cord-132120-u5s5heqm 391 9 is be VBZ cord-132120-u5s5heqm 391 10 a a DT cord-132120-u5s5heqm 391 11 simple simple JJ cord-132120-u5s5heqm 391 12 random random JJ cord-132120-u5s5heqm 391 13 sample sample NN cord-132120-u5s5heqm 391 14 from from IN cord-132120-u5s5heqm 391 15 the the DT cord-132120-u5s5heqm 391 16 state state NN cord-132120-u5s5heqm 391 17 's 's POS cord-132120-u5s5heqm 391 18 population population NN cord-132120-u5s5heqm 391 19 . . . cord-132120-u5s5heqm 392 1 We -PRON- PRP cord-132120-u5s5heqm 392 2 recognize recognize VBP cord-132120-u5s5heqm 392 3 that that IN cord-132120-u5s5heqm 392 4 the the DT cord-132120-u5s5heqm 392 5 survey survey NN cord-132120-u5s5heqm 392 6 is be VBZ cord-132120-u5s5heqm 392 7 not not RB cord-132120-u5s5heqm 392 8 such such PDT cord-132120-u5s5heqm 392 9 a a DT cord-132120-u5s5heqm 392 10 sample sample NN cord-132120-u5s5heqm 392 11 , , , cord-132120-u5s5heqm 392 12 but but CC cord-132120-u5s5heqm 392 13 techniques technique NNS cord-132120-u5s5heqm 392 14 like like IN cord-132120-u5s5heqm 392 15 poststratification poststratification NN cord-132120-u5s5heqm 392 16 and and CC cord-132120-u5s5heqm 392 17 raking raking NN cord-132120-u5s5heqm 392 18 can can MD cord-132120-u5s5heqm 392 19 be be VB cord-132120-u5s5heqm 392 20 applied apply VBN cord-132120-u5s5heqm 392 21 to to TO cord-132120-u5s5heqm 392 22 calibrate calibrate VB cord-132120-u5s5heqm 392 23 estimates estimate NNS cord-132120-u5s5heqm 392 24 . . . cord-132120-u5s5heqm 393 1 Then then RB cord-132120-u5s5heqm 393 2 the the DT cord-132120-u5s5heqm 393 3 error error NN cord-132120-u5s5heqm 393 4 is be VBZ cord-132120-u5s5heqm 393 5 16.6 16.6 CD cord-132120-u5s5heqm 393 6 % % NN cord-132120-u5s5heqm 393 7 . . . cord-132120-u5s5heqm 394 1 Using use VBG cord-132120-u5s5heqm 394 2 ( ( -LRB- cord-132120-u5s5heqm 394 3 1 1 CD cord-132120-u5s5heqm 394 4 ) ) -RRB- cord-132120-u5s5heqm 394 5 , , , cord-132120-u5s5heqm 394 6 we -PRON- PRP cord-132120-u5s5heqm 394 7 can can MD cord-132120-u5s5heqm 394 8 use use VB cord-132120-u5s5heqm 394 9 the the DT cord-132120-u5s5heqm 394 10 error error NN cord-132120-u5s5heqm 394 11 to to TO cord-132120-u5s5heqm 394 12 construct construct VB cord-132120-u5s5heqm 394 13 an an DT cord-132120-u5s5heqm 394 14 estimate estimate NN cord-132120-u5s5heqm 394 15 of of IN cord-132120-u5s5heqm 394 16 the the DT cord-132120-u5s5heqm 394 17 relative relative JJ cord-132120-u5s5heqm 394 18 sampling sampling NN cord-132120-u5s5heqm 394 19 rate rate NN cord-132120-u5s5heqm 394 20 : : : cord-132120-u5s5heqm 394 21 The the DT cord-132120-u5s5heqm 394 22 range range NN cord-132120-u5s5heqm 394 23 for for IN cord-132120-u5s5heqm 394 24 the the DT cord-132120-u5s5heqm 394 25 CIs CIs NNP cord-132120-u5s5heqm 394 26 is be VBZ cord-132120-u5s5heqm 394 27 ( ( -LRB- cord-132120-u5s5heqm 394 28 2.05 2.05 CD cord-132120-u5s5heqm 394 29 , , , cord-132120-u5s5heqm 394 30 2.54 2.54 CD cord-132120-u5s5heqm 394 31 ) ) -RRB- cord-132120-u5s5heqm 394 32 . . . cord-132120-u5s5heqm 395 1 We -PRON- PRP cord-132120-u5s5heqm 395 2 can can MD cord-132120-u5s5heqm 395 3 also also RB cord-132120-u5s5heqm 395 4 perform perform VB cord-132120-u5s5heqm 395 5 sensitivity sensitivity NN cord-132120-u5s5heqm 395 6 as as IN cord-132120-u5s5heqm 395 7 a a DT cord-132120-u5s5heqm 395 8 function function NN cord-132120-u5s5heqm 395 9 of of IN cord-132120-u5s5heqm 395 10 the the DT cord-132120-u5s5heqm 395 11 false false JJ cord-132120-u5s5heqm 395 12 negative negative JJ cord-132120-u5s5heqm 395 13 and and CC cord-132120-u5s5heqm 395 14 positive positive JJ cord-132120-u5s5heqm 395 15 rates rate NNS cord-132120-u5s5heqm 395 16 . . . cord-132120-u5s5heqm 396 1 Under under IN cord-132120-u5s5heqm 396 2 these these DT cord-132120-u5s5heqm 396 3 measurement measurement NN cord-132120-u5s5heqm 396 4 error error NN cord-132120-u5s5heqm 396 5 ranges range VBZ cord-132120-u5s5heqm 396 6 , , , cord-132120-u5s5heqm 396 7 we -PRON- PRP cord-132120-u5s5heqm 396 8 saw see VBD cord-132120-u5s5heqm 396 9 that that IN cord-132120-u5s5heqm 396 10 the the DT cord-132120-u5s5heqm 396 11 impact impact NN cord-132120-u5s5heqm 396 12 on on IN cord-132120-u5s5heqm 396 13 the the DT cord-132120-u5s5heqm 396 14 effective effective JJ cord-132120-u5s5heqm 396 15 reproductive reproductive JJ cord-132120-u5s5heqm 396 16 rate rate NN cord-132120-u5s5heqm 396 17 estimator estimator NN cord-132120-u5s5heqm 396 18 was be VBD cord-132120-u5s5heqm 396 19 much much RB cord-132120-u5s5heqm 396 20 smaller small JJR cord-132120-u5s5heqm 396 21 . . . cord-132120-u5s5heqm 397 1 However however RB cord-132120-u5s5heqm 397 2 , , , cord-132120-u5s5heqm 397 3 for for IN cord-132120-u5s5heqm 397 4 F F NNP cord-132120-u5s5heqm 397 5 P p NN cord-132120-u5s5heqm 397 6 = = SYM cord-132120-u5s5heqm 397 7 0.05 0.05 CD cord-132120-u5s5heqm 397 8 and and CC cord-132120-u5s5heqm 397 9 F F NNP cord-132120-u5s5heqm 397 10 N N NNP cord-132120-u5s5heqm 397 11 = = SYM cord-132120-u5s5heqm 397 12 0.005 0.005 CD cord-132120-u5s5heqm 398 1 we -PRON- PRP cord-132120-u5s5heqm 398 2 have have VBP cord-132120-u5s5heqm 398 3 M M NNP cord-132120-u5s5heqm 398 4 = = SYM cord-132120-u5s5heqm 398 5 4.31 4.31 CD cord-132120-u5s5heqm 398 6 . . . cord-132120-u5s5heqm 399 1 While while IN cord-132120-u5s5heqm 399 2 nothing nothing NN cord-132120-u5s5heqm 399 3 above above RB cord-132120-u5s5heqm 399 4 is be VBZ cord-132120-u5s5heqm 399 5 definitive definitive JJ cord-132120-u5s5heqm 399 6 , , , cord-132120-u5s5heqm 399 7 it -PRON- PRP cord-132120-u5s5heqm 399 8 points point VBZ cord-132120-u5s5heqm 399 9 to to IN cord-132120-u5s5heqm 399 10 the the DT cord-132120-u5s5heqm 399 11 interplay interplay NN cord-132120-u5s5heqm 399 12 of of IN cord-132120-u5s5heqm 399 13 selection selection NN cord-132120-u5s5heqm 399 14 bias bias NN cord-132120-u5s5heqm 399 15 and and CC cord-132120-u5s5heqm 399 16 measurement measurement NN cord-132120-u5s5heqm 399 17 error error NN cord-132120-u5s5heqm 399 18 . . . cord-132120-u5s5heqm 400 1 This this DT cord-132120-u5s5heqm 400 2 calculation calculation NN cord-132120-u5s5heqm 400 3 gives give VBZ cord-132120-u5s5heqm 400 4 us -PRON- PRP cord-132120-u5s5heqm 400 5 simple simple JJ cord-132120-u5s5heqm 400 6 tools tool NNS cord-132120-u5s5heqm 400 7 to to TO cord-132120-u5s5heqm 400 8 understand understand VB cord-132120-u5s5heqm 400 9 how how WRB cord-132120-u5s5heqm 400 10 sensitivity sensitivity NN cord-132120-u5s5heqm 400 11 and and CC cord-132120-u5s5heqm 400 12 specificity specificity NN cord-132120-u5s5heqm 400 13 impact impact NN cord-132120-u5s5heqm 400 14 our -PRON- PRP$ cord-132120-u5s5heqm 400 15 estimators estimator NNS cord-132120-u5s5heqm 400 16 and and CC cord-132120-u5s5heqm 400 17 therefore therefore RB cord-132120-u5s5heqm 400 18 how how WRB cord-132120-u5s5heqm 400 19 much much RB cord-132120-u5s5heqm 400 20 we -PRON- PRP cord-132120-u5s5heqm 400 21 should should MD cord-132120-u5s5heqm 400 22 trust trust VB cord-132120-u5s5heqm 400 23 conclusions conclusion NNS cord-132120-u5s5heqm 400 24 based base VBN cord-132120-u5s5heqm 400 25 on on IN cord-132120-u5s5heqm 400 26 these these DT cord-132120-u5s5heqm 400 27 assumptions assumption NNS cord-132120-u5s5heqm 400 28 . . . cord-132120-u5s5heqm 401 1 Under under IN cord-132120-u5s5heqm 401 2 the the DT cord-132120-u5s5heqm 401 3 Santa Santa NNP cord-132120-u5s5heqm 401 4 Clara Clara NNP cord-132120-u5s5heqm 401 5 study study NN cord-132120-u5s5heqm 401 6 estimates estimate NNS cord-132120-u5s5heqm 401 7 of of IN cord-132120-u5s5heqm 401 8 these these DT cord-132120-u5s5heqm 401 9 quantities quantity NNS cord-132120-u5s5heqm 401 10 , , , cord-132120-u5s5heqm 401 11 while while IN cord-132120-u5s5heqm 401 12 we -PRON- PRP cord-132120-u5s5heqm 401 13 expect expect VBP cord-132120-u5s5heqm 401 14 impact impact NN cord-132120-u5s5heqm 401 15 , , , cord-132120-u5s5heqm 401 16 the the DT cord-132120-u5s5heqm 401 17 bias bias NN cord-132120-u5s5heqm 401 18 is be VBZ cord-132120-u5s5heqm 401 19 much much RB cord-132120-u5s5heqm 401 20 smaller small JJR cord-132120-u5s5heqm 401 21 than than IN cord-132120-u5s5heqm 401 22 under under IN cord-132120-u5s5heqm 401 23 other other JJ cord-132120-u5s5heqm 401 24 estimates estimate NNS cord-132120-u5s5heqm 401 25 . . . cord-132120-u5s5heqm 402 1 This this DT cord-132120-u5s5heqm 402 2 article article NN cord-132120-u5s5heqm 402 3 argues argue VBZ cord-132120-u5s5heqm 402 4 why why WRB cord-132120-u5s5heqm 402 5 random random JJ cord-132120-u5s5heqm 402 6 sampling sampling NN cord-132120-u5s5heqm 402 7 is be VBZ cord-132120-u5s5heqm 402 8 a a DT cord-132120-u5s5heqm 402 9 powerful powerful JJ cord-132120-u5s5heqm 402 10 tool tool NN cord-132120-u5s5heqm 402 11 and and CC cord-132120-u5s5heqm 402 12 the the DT cord-132120-u5s5heqm 402 13 limitations limitation NNS cord-132120-u5s5heqm 402 14 of of IN cord-132120-u5s5heqm 402 15 data datum NNS cord-132120-u5s5heqm 402 16 obtained obtain VBN cord-132120-u5s5heqm 402 17 through through IN cord-132120-u5s5heqm 402 18 a a DT cord-132120-u5s5heqm 402 19 self self NN cord-132120-u5s5heqm 402 20 - - HYPH cord-132120-u5s5heqm 402 21 selection selection NN cord-132120-u5s5heqm 402 22 process process NN cord-132120-u5s5heqm 402 23 . . . cord-132120-u5s5heqm 403 1 As as IN cord-132120-u5s5heqm 403 2 COVID-19 COVID-19 NNP cord-132120-u5s5heqm 403 3 survey survey NN cord-132120-u5s5heqm 403 4 studies study NNS cord-132120-u5s5heqm 403 5 become become VBP cord-132120-u5s5heqm 403 6 more more RBR cord-132120-u5s5heqm 403 7 readily readily RB cord-132120-u5s5heqm 403 8 accessible accessible JJ cord-132120-u5s5heqm 403 9 , , , cord-132120-u5s5heqm 403 10 we -PRON- PRP cord-132120-u5s5heqm 403 11 encourage encourage VBP cord-132120-u5s5heqm 403 12 researchers researcher NNS cord-132120-u5s5heqm 403 13 to to TO cord-132120-u5s5heqm 403 14 focus focus VB cord-132120-u5s5heqm 403 15 on on IN cord-132120-u5s5heqm 403 16 building build VBG cord-132120-u5s5heqm 403 17 representative representative NN cord-132120-u5s5heqm 403 18 samples sample NNS cord-132120-u5s5heqm 403 19 . . . cord-132120-u5s5heqm 404 1 One one CD cord-132120-u5s5heqm 404 2 difficulty difficulty NN cord-132120-u5s5heqm 404 3 in in IN cord-132120-u5s5heqm 404 4 the the DT cord-132120-u5s5heqm 404 5 current current JJ cord-132120-u5s5heqm 404 6 crisis crisis NN cord-132120-u5s5heqm 404 7 is be VBZ cord-132120-u5s5heqm 404 8 the the DT cord-132120-u5s5heqm 404 9 low low JJ cord-132120-u5s5heqm 404 10 prevalence prevalence NN cord-132120-u5s5heqm 404 11 relative relative JJ cord-132120-u5s5heqm 404 12 to to IN cord-132120-u5s5heqm 404 13 the the DT cord-132120-u5s5heqm 404 14 population population NN cord-132120-u5s5heqm 404 15 size size NN cord-132120-u5s5heqm 404 16 in in IN cord-132120-u5s5heqm 404 17 certain certain JJ cord-132120-u5s5heqm 404 18 geographies geography NNS cord-132120-u5s5heqm 404 19 . . . cord-132120-u5s5heqm 405 1 Take take VB cord-132120-u5s5heqm 405 2 the the DT cord-132120-u5s5heqm 405 3 recent recent JJ cord-132120-u5s5heqm 405 4 Santa Santa NNP cord-132120-u5s5heqm 405 5 Clara Clara NNP cord-132120-u5s5heqm 405 6 study study NN cord-132120-u5s5heqm 405 7 , , , cord-132120-u5s5heqm 405 8 for for IN cord-132120-u5s5heqm 405 9 example example NN cord-132120-u5s5heqm 405 10 , , , cord-132120-u5s5heqm 405 11 that that DT cord-132120-u5s5heqm 405 12 estimated estimate VBD cord-132120-u5s5heqm 405 13 less less JJR cord-132120-u5s5heqm 405 14 than than IN cord-132120-u5s5heqm 405 15 2 2 CD cord-132120-u5s5heqm 405 16 % % NN cord-132120-u5s5heqm 405 17 prevalence prevalence NN cord-132120-u5s5heqm 405 18 in in IN cord-132120-u5s5heqm 405 19 the the DT cord-132120-u5s5heqm 405 20 area area NN cord-132120-u5s5heqm 405 21 . . . cord-132120-u5s5heqm 406 1 The the DT cord-132120-u5s5heqm 406 2 key key JJ cord-132120-u5s5heqm 406 3 issue issue NN cord-132120-u5s5heqm 406 4 with with IN cord-132120-u5s5heqm 406 5 low low JJ cord-132120-u5s5heqm 406 6 prevalence prevalence NN cord-132120-u5s5heqm 406 7 is be VBZ cord-132120-u5s5heqm 406 8 that that IN cord-132120-u5s5heqm 406 9 if if IN cord-132120-u5s5heqm 406 10 the the DT cord-132120-u5s5heqm 406 11 test test NN cord-132120-u5s5heqm 406 12 's 's POS cord-132120-u5s5heqm 406 13 specificity specificity NN cord-132120-u5s5heqm 406 14 is be VBZ cord-132120-u5s5heqm 406 15 not not RB cord-132120-u5s5heqm 406 16 lower low JJR cord-132120-u5s5heqm 406 17 than than IN cord-132120-u5s5heqm 406 18 the the DT cord-132120-u5s5heqm 406 19 prevalence prevalence NN cord-132120-u5s5heqm 406 20 , , , cord-132120-u5s5heqm 406 21 then then RB cord-132120-u5s5heqm 406 22 the the DT cord-132120-u5s5heqm 406 23 observed observed JJ cord-132120-u5s5heqm 406 24 data data NN cord-132120-u5s5heqm 406 25 is be VBZ cord-132120-u5s5heqm 406 26 consistent consistent JJ cord-132120-u5s5heqm 406 27 with with IN cord-132120-u5s5heqm 406 28 zero zero CD cord-132120-u5s5heqm 406 29 recovered recover VBN cord-132120-u5s5heqm 406 30 individuals individual NNS cord-132120-u5s5heqm 406 31 . . . cord-132120-u5s5heqm 407 1 In in IN cord-132120-u5s5heqm 407 2 such such JJ cord-132120-u5s5heqm 407 3 settings setting NNS cord-132120-u5s5heqm 407 4 , , , cord-132120-u5s5heqm 407 5 simple simple JJ cord-132120-u5s5heqm 407 6 random random JJ cord-132120-u5s5heqm 407 7 sampling sampling NN cord-132120-u5s5heqm 407 8 is be VBZ cord-132120-u5s5heqm 407 9 doomed doom VBN cord-132120-u5s5heqm 407 10 to to TO cord-132120-u5s5heqm 407 11 fail fail VB cord-132120-u5s5heqm 407 12 ; ; : cord-132120-u5s5heqm 407 13 however however RB cord-132120-u5s5heqm 407 14 , , , cord-132120-u5s5heqm 407 15 there there EX cord-132120-u5s5heqm 407 16 are be VBP cord-132120-u5s5heqm 407 17 potential potential JJ cord-132120-u5s5heqm 407 18 solutions solution NNS cord-132120-u5s5heqm 407 19 . . . cord-132120-u5s5heqm 408 1 In in IN cord-132120-u5s5heqm 408 2 particular particular JJ cord-132120-u5s5heqm 408 3 , , , cord-132120-u5s5heqm 408 4 one one PRP cord-132120-u5s5heqm 408 5 can can MD cord-132120-u5s5heqm 408 6 stratify stratify VB cord-132120-u5s5heqm 408 7 the the DT cord-132120-u5s5heqm 408 8 population population NN cord-132120-u5s5heqm 408 9 into into IN cord-132120-u5s5heqm 408 10 risk risk NN cord-132120-u5s5heqm 408 11 categories category NNS cord-132120-u5s5heqm 408 12 ( ( -LRB- cord-132120-u5s5heqm 408 13 based base VBN cord-132120-u5s5heqm 408 14 on on IN cord-132120-u5s5heqm 408 15 population population NN cord-132120-u5s5heqm 408 16 density density NN cord-132120-u5s5heqm 408 17 , , , cord-132120-u5s5heqm 408 18 occupation occupation NN cord-132120-u5s5heqm 408 19 , , , cord-132120-u5s5heqm 408 20 age age NN cord-132120-u5s5heqm 408 21 , , , cord-132120-u5s5heqm 408 22 and and CC cord-132120-u5s5heqm 408 23 other other JJ cord-132120-u5s5heqm 408 24 important important JJ cord-132120-u5s5heqm 408 25 factors factor NNS cord-132120-u5s5heqm 408 26 ) ) -RRB- cord-132120-u5s5heqm 408 27 and and CC cord-132120-u5s5heqm 408 28 perform perform VB cord-132120-u5s5heqm 408 29 Neyman Neyman NNP cord-132120-u5s5heqm 408 30 allocation allocation NN cord-132120-u5s5heqm 408 31 [ [ -LRB- cord-132120-u5s5heqm 408 32 Cochran Cochran NNP cord-132120-u5s5heqm 408 33 , , , cord-132120-u5s5heqm 408 34 1977 1977 CD cord-132120-u5s5heqm 408 35 ] ] -RRB- cord-132120-u5s5heqm 408 36 . . . cord-132120-u5s5heqm 409 1 That that RB cord-132120-u5s5heqm 409 2 is is RB cord-132120-u5s5heqm 409 3 , , , cord-132120-u5s5heqm 409 4 sample sample NN cord-132120-u5s5heqm 409 5 individuals individual NNS cord-132120-u5s5heqm 409 6 at at IN cord-132120-u5s5heqm 409 7 random random JJ cord-132120-u5s5heqm 409 8 in in IN cord-132120-u5s5heqm 409 9 strata strata JJ cord-132120-u5s5heqm 409 10 h h NN cord-132120-u5s5heqm 409 11 with with IN cord-132120-u5s5heqm 409 12 size size NN cord-132120-u5s5heqm 409 13 proportional proportional JJ cord-132120-u5s5heqm 409 14 to to IN cord-132120-u5s5heqm 409 15 P p NN cord-132120-u5s5heqm 409 16 h h NN cord-132120-u5s5heqm 410 1 Ȳ ȳ DT cord-132120-u5s5heqm 410 2 h h NN cord-132120-u5s5heqm 410 3 × × NN cord-132120-u5s5heqm 410 4 ( ( -LRB- cord-132120-u5s5heqm 410 5 1 1 CD cord-132120-u5s5heqm 410 6 −Ȳ −Ȳ NNP cord-132120-u5s5heqm 410 7 h h NNP cord-132120-u5s5heqm 410 8 ) ) -RRB- cord-132120-u5s5heqm 410 9 where where WRB cord-132120-u5s5heqm 410 10 P p NN cord-132120-u5s5heqm 410 11 h h NN cord-132120-u5s5heqm 410 12 is be VBZ cord-132120-u5s5heqm 410 13 the the DT cord-132120-u5s5heqm 410 14 strata strata JJ cord-132120-u5s5heqm 410 15 frequency frequency NN cord-132120-u5s5heqm 410 16 in in IN cord-132120-u5s5heqm 410 17 the the DT cord-132120-u5s5heqm 410 18 population population NN cord-132120-u5s5heqm 410 19 andȲ andȳ IN cord-132120-u5s5heqm 410 20 h h NN cord-132120-u5s5heqm 410 21 the the DT cord-132120-u5s5heqm 410 22 prevalence prevalence NN cord-132120-u5s5heqm 410 23 in in IN cord-132120-u5s5heqm 410 24 the the DT cord-132120-u5s5heqm 410 25 strata strata NN cord-132120-u5s5heqm 410 26 . . . cord-132120-u5s5heqm 411 1 Of of RB cord-132120-u5s5heqm 411 2 course course RB cord-132120-u5s5heqm 411 3 , , , cord-132120-u5s5heqm 411 4 P p NN cord-132120-u5s5heqm 411 5 h h NN cord-132120-u5s5heqm 411 6 and and CC cord-132120-u5s5heqm 411 7 Y Y NNP cord-132120-u5s5heqm 411 8 h h NNP cord-132120-u5s5heqm 411 9 are be VBP cord-132120-u5s5heqm 411 10 not not RB cord-132120-u5s5heqm 411 11 known know VBN cord-132120-u5s5heqm 411 12 a a DT cord-132120-u5s5heqm 411 13 priori priori FW cord-132120-u5s5heqm 411 14 ; ; : cord-132120-u5s5heqm 411 15 however however RB cord-132120-u5s5heqm 411 16 , , , cord-132120-u5s5heqm 411 17 if if IN cord-132120-u5s5heqm 411 18 decent decent JJ cord-132120-u5s5heqm 411 19 estimates estimate NNS cord-132120-u5s5heqm 411 20 can can MD cord-132120-u5s5heqm 411 21 be be VB cord-132120-u5s5heqm 411 22 obtained obtain VBN cord-132120-u5s5heqm 411 23 , , , cord-132120-u5s5heqm 411 24 we -PRON- PRP cord-132120-u5s5heqm 411 25 can can MD cord-132120-u5s5heqm 411 26 see see VB cord-132120-u5s5heqm 411 27 huge huge JJ cord-132120-u5s5heqm 411 28 benefits benefit NNS cord-132120-u5s5heqm 411 29 in in IN cord-132120-u5s5heqm 411 30 settings setting NNS cord-132120-u5s5heqm 411 31 where where WRB cord-132120-u5s5heqm 411 32 the the DT cord-132120-u5s5heqm 411 33 prevalence prevalence NN cord-132120-u5s5heqm 411 34 varies vary VBZ cord-132120-u5s5heqm 411 35 widely widely RB cord-132120-u5s5heqm 411 36 by by IN cord-132120-u5s5heqm 411 37 strata strata NN cord-132120-u5s5heqm 411 38 . . . cord-132120-u5s5heqm 412 1 One one PRP cord-132120-u5s5heqm 412 2 could could MD cord-132120-u5s5heqm 412 3 go go VB cord-132120-u5s5heqm 412 4 attempt attempt VB cord-132120-u5s5heqm 412 5 to to TO cord-132120-u5s5heqm 412 6 go go VB cord-132120-u5s5heqm 412 7 further further RB cord-132120-u5s5heqm 412 8 and and CC cord-132120-u5s5heqm 412 9 incorporate incorporate VB cord-132120-u5s5heqm 412 10 contact contact NN cord-132120-u5s5heqm 412 11 network network NN cord-132120-u5s5heqm 412 12 information information NN cord-132120-u5s5heqm 412 13 . . . cord-132120-u5s5heqm 413 1 However however RB cord-132120-u5s5heqm 413 2 , , , cord-132120-u5s5heqm 413 3 such such JJ cord-132120-u5s5heqm 413 4 data data NN cord-132120-u5s5heqm 413 5 is be VBZ cord-132120-u5s5heqm 413 6 difficult difficult JJ cord-132120-u5s5heqm 413 7 to to TO cord-132120-u5s5heqm 413 8 obtain obtain VB cord-132120-u5s5heqm 413 9 in in IN cord-132120-u5s5heqm 413 10 practice practice NN cord-132120-u5s5heqm 413 11 . . . cord-132120-u5s5heqm 414 1 Indeed indeed RB cord-132120-u5s5heqm 414 2 , , , cord-132120-u5s5heqm 414 3 geographic geographic JJ cord-132120-u5s5heqm 414 4 location location NN cord-132120-u5s5heqm 414 5 , , , cord-132120-u5s5heqm 414 6 occupation occupation NN cord-132120-u5s5heqm 414 7 , , , cord-132120-u5s5heqm 414 8 age age NN cord-132120-u5s5heqm 414 9 and and CC cord-132120-u5s5heqm 414 10 basic basic JJ cord-132120-u5s5heqm 414 11 demographic demographic JJ cord-132120-u5s5heqm 414 12 information information NN cord-132120-u5s5heqm 414 13 are be VBP cord-132120-u5s5heqm 414 14 much much RB cord-132120-u5s5heqm 414 15 easier easy JJR cord-132120-u5s5heqm 414 16 to to TO cord-132120-u5s5heqm 414 17 obtain obtain VB cord-132120-u5s5heqm 414 18 and and CC cord-132120-u5s5heqm 414 19 are be VBP cord-132120-u5s5heqm 414 20 a a DT cord-132120-u5s5heqm 414 21 good good JJ cord-132120-u5s5heqm 414 22 proxy proxy NN cord-132120-u5s5heqm 414 23 for for IN cord-132120-u5s5heqm 414 24 the the DT cord-132120-u5s5heqm 414 25 latent latent JJ cord-132120-u5s5heqm 414 26 network network NN cord-132120-u5s5heqm 414 27 connectivity connectivity NN cord-132120-u5s5heqm 414 28 . . . cord-132120-u5s5heqm 415 1 There there EX cord-132120-u5s5heqm 415 2 is be VBZ cord-132120-u5s5heqm 415 3 nothing nothing NN cord-132120-u5s5heqm 415 4 routine routine JJ cord-132120-u5s5heqm 415 5 about about IN cord-132120-u5s5heqm 415 6 COVID-19 COVID-19 NNP cord-132120-u5s5heqm 415 7 , , , cord-132120-u5s5heqm 415 8 including include VBG cord-132120-u5s5heqm 415 9 the the DT cord-132120-u5s5heqm 415 10 corresponding corresponding JJ cord-132120-u5s5heqm 415 11 statistical statistical JJ cord-132120-u5s5heqm 415 12 questions question NNS cord-132120-u5s5heqm 415 13 . . . cord-132120-u5s5heqm 416 1 The the DT cord-132120-u5s5heqm 416 2 goal goal NN cord-132120-u5s5heqm 416 3 of of IN cord-132120-u5s5heqm 416 4 this this DT cord-132120-u5s5heqm 416 5 paper paper NN cord-132120-u5s5heqm 416 6 was be VBD cord-132120-u5s5heqm 416 7 to to TO cord-132120-u5s5heqm 416 8 point point VB cord-132120-u5s5heqm 416 9 out out RP cord-132120-u5s5heqm 416 10 questionable questionable JJ cord-132120-u5s5heqm 416 11 statistical statistical JJ cord-132120-u5s5heqm 416 12 routines routine NNS cord-132120-u5s5heqm 416 13 . . . cord-132120-u5s5heqm 417 1 Indeed indeed RB cord-132120-u5s5heqm 417 2 , , , cord-132120-u5s5heqm 417 3 case case NN cord-132120-u5s5heqm 417 4 - - HYPH cord-132120-u5s5heqm 417 5 count count NN cord-132120-u5s5heqm 417 6 trajectories trajectory NNS cord-132120-u5s5heqm 417 7 are be VBP cord-132120-u5s5heqm 417 8 being be VBG cord-132120-u5s5heqm 417 9 reported report VBN cord-132120-u5s5heqm 417 10 daily daily RB cord-132120-u5s5heqm 417 11 by by IN cord-132120-u5s5heqm 417 12 governments government NNS cord-132120-u5s5heqm 417 13 and and CC cord-132120-u5s5heqm 417 14 broadcast broadcast VBN cord-132120-u5s5heqm 417 15 by by IN cord-132120-u5s5heqm 417 16 the the DT cord-132120-u5s5heqm 417 17 media medium NNS cord-132120-u5s5heqm 417 18 . . . cord-132120-u5s5heqm 418 1 The the DT cord-132120-u5s5heqm 418 2 precision precision NN cord-132120-u5s5heqm 418 3 in in IN cord-132120-u5s5heqm 418 4 the the DT cord-132120-u5s5heqm 418 5 reported report VBN cord-132120-u5s5heqm 418 6 numbers number NNS cord-132120-u5s5heqm 418 7 gives give VBZ cord-132120-u5s5heqm 418 8 the the DT cord-132120-u5s5heqm 418 9 illusion illusion NN cord-132120-u5s5heqm 418 10 of of IN cord-132120-u5s5heqm 418 11 accuracy accuracy NN cord-132120-u5s5heqm 418 12 when when WRB cord-132120-u5s5heqm 418 13 what what WP cord-132120-u5s5heqm 418 14 needs need VBZ cord-132120-u5s5heqm 418 15 to to TO cord-132120-u5s5heqm 418 16 be be VB cord-132120-u5s5heqm 418 17 understood understand VBN cord-132120-u5s5heqm 418 18 is be VBZ cord-132120-u5s5heqm 418 19 the the DT cord-132120-u5s5heqm 418 20 level level NN cord-132120-u5s5heqm 418 21 of of IN cord-132120-u5s5heqm 418 22 uncertainty uncertainty NN cord-132120-u5s5heqm 418 23 . . . cord-132120-u5s5heqm 419 1 Selection selection NN cord-132120-u5s5heqm 419 2 bias bias NN cord-132120-u5s5heqm 419 3 not not RB cord-132120-u5s5heqm 419 4 only only RB cord-132120-u5s5heqm 419 5 means mean VBZ cord-132120-u5s5heqm 419 6 uncertainty uncertainty NN cord-132120-u5s5heqm 419 7 , , , cord-132120-u5s5heqm 419 8 it -PRON- PRP cord-132120-u5s5heqm 419 9 also also RB cord-132120-u5s5heqm 419 10 implies imply VBZ cord-132120-u5s5heqm 419 11 analysts analyst NNS cord-132120-u5s5heqm 419 12 feel feel VBP cord-132120-u5s5heqm 419 13 certain certain JJ cord-132120-u5s5heqm 419 14 about about IN cord-132120-u5s5heqm 419 15 incorrect incorrect JJ cord-132120-u5s5heqm 419 16 conclusions conclusion NNS cord-132120-u5s5heqm 419 17 . . . cord-132120-u5s5heqm 420 1 We -PRON- PRP cord-132120-u5s5heqm 420 2 end end VBP cord-132120-u5s5heqm 420 3 this this DT cord-132120-u5s5heqm 420 4 paper paper NN cord-132120-u5s5heqm 420 5 with with IN cord-132120-u5s5heqm 420 6 a a DT cord-132120-u5s5heqm 420 7 brief brief JJ cord-132120-u5s5heqm 420 8 discussion discussion NN cord-132120-u5s5heqm 420 9 of of IN cord-132120-u5s5heqm 420 10 several several JJ cord-132120-u5s5heqm 420 11 important important JJ cord-132120-u5s5heqm 420 12 topics topic NNS cord-132120-u5s5heqm 420 13 related relate VBN cord-132120-u5s5heqm 420 14 to to IN cord-132120-u5s5heqm 420 15 selection selection NN cord-132120-u5s5heqm 420 16 bias bias NN cord-132120-u5s5heqm 420 17 and and CC cord-132120-u5s5heqm 420 18 measurement measurement NN cord-132120-u5s5heqm 420 19 error error NN cord-132120-u5s5heqm 420 20 . . . cord-132120-u5s5heqm 421 1 Decision decision NN cord-132120-u5s5heqm 421 2 - - HYPH cord-132120-u5s5heqm 421 3 making making NN cord-132120-u5s5heqm 421 4 : : : cord-132120-u5s5heqm 421 5 data datum NNS cord-132120-u5s5heqm 421 6 versus versus IN cord-132120-u5s5heqm 421 7 information information NN cord-132120-u5s5heqm 421 8 . . . cord-132120-u5s5heqm 422 1 Having have VBG cord-132120-u5s5heqm 422 2 read read VBN cord-132120-u5s5heqm 422 3 through through IN cord-132120-u5s5heqm 422 4 the the DT cord-132120-u5s5heqm 422 5 above above JJ cord-132120-u5s5heqm 422 6 technical technical JJ cord-132120-u5s5heqm 422 7 discussions discussion NNS cord-132120-u5s5heqm 422 8 , , , cord-132120-u5s5heqm 422 9 one one PRP cord-132120-u5s5heqm 422 10 may may MD cord-132120-u5s5heqm 422 11 come come VB cord-132120-u5s5heqm 422 12 to to IN cord-132120-u5s5heqm 422 13 the the DT cord-132120-u5s5heqm 422 14 incorrect incorrect JJ cord-132120-u5s5heqm 422 15 conclusion conclusion NN cord-132120-u5s5heqm 422 16 that that IN cord-132120-u5s5heqm 422 17 because because IN cord-132120-u5s5heqm 422 18 we -PRON- PRP cord-132120-u5s5heqm 422 19 are be VBP cord-132120-u5s5heqm 422 20 concerned concerned JJ cord-132120-u5s5heqm 422 21 about about IN cord-132120-u5s5heqm 422 22 implicit implicit JJ cord-132120-u5s5heqm 422 23 biases bias NNS cord-132120-u5s5heqm 422 24 in in IN cord-132120-u5s5heqm 422 25 observational observational JJ cord-132120-u5s5heqm 422 26 data datum NNS cord-132120-u5s5heqm 422 27 , , , cord-132120-u5s5heqm 422 28 we -PRON- PRP cord-132120-u5s5heqm 422 29 must must MD cord-132120-u5s5heqm 422 30 wait wait VB cord-132120-u5s5heqm 422 31 for for IN cord-132120-u5s5heqm 422 32 better well JJR cord-132120-u5s5heqm 422 33 data datum NNS cord-132120-u5s5heqm 422 34 sources source NNS cord-132120-u5s5heqm 422 35 in in IN cord-132120-u5s5heqm 422 36 order order NN cord-132120-u5s5heqm 422 37 to to TO cord-132120-u5s5heqm 422 38 act act VB cord-132120-u5s5heqm 422 39 [ [ -LRB- cord-132120-u5s5heqm 422 40 Ioannidis Ioannidis NNP cord-132120-u5s5heqm 422 41 , , , cord-132120-u5s5heqm 422 42 2020 2020 CD cord-132120-u5s5heqm 422 43 ] ] -RRB- cord-132120-u5s5heqm 422 44 . . . cord-132120-u5s5heqm 423 1 This this DT cord-132120-u5s5heqm 423 2 conclusion conclusion NN cord-132120-u5s5heqm 423 3 confuses confuse VBZ cord-132120-u5s5heqm 423 4 data datum NNS cord-132120-u5s5heqm 423 5 and and CC cord-132120-u5s5heqm 423 6 information information NN cord-132120-u5s5heqm 423 7 . . . cord-132120-u5s5heqm 424 1 Lack lack NN cord-132120-u5s5heqm 424 2 of of IN cord-132120-u5s5heqm 424 3 high high JJ cord-132120-u5s5heqm 424 4 quality quality NN cord-132120-u5s5heqm 424 5 data data NN cord-132120-u5s5heqm 424 6 means mean VBZ cord-132120-u5s5heqm 424 7 we -PRON- PRP cord-132120-u5s5heqm 424 8 should should MD cord-132120-u5s5heqm 424 9 be be VB cord-132120-u5s5heqm 424 10 skeptical skeptical JJ cord-132120-u5s5heqm 424 11 regarding regard VBG cord-132120-u5s5heqm 424 12 conclusions conclusion NNS cord-132120-u5s5heqm 424 13 drawn draw VBN cord-132120-u5s5heqm 424 14 from from IN cord-132120-u5s5heqm 424 15 these these DT cord-132120-u5s5heqm 424 16 data datum NNS cord-132120-u5s5heqm 424 17 sources source NNS cord-132120-u5s5heqm 424 18 alone alone RB cord-132120-u5s5heqm 424 19 . . . cord-132120-u5s5heqm 425 1 Being be VBG cord-132120-u5s5heqm 425 2 skeptical skeptical JJ cord-132120-u5s5heqm 425 3 of of IN cord-132120-u5s5heqm 425 4 observed observed JJ cord-132120-u5s5heqm 425 5 data datum NNS cord-132120-u5s5heqm 425 6 does do VBZ cord-132120-u5s5heqm 425 7 not not RB cord-132120-u5s5heqm 425 8 imply imply VB cord-132120-u5s5heqm 425 9 governments government NNS cord-132120-u5s5heqm 425 10 and and CC cord-132120-u5s5heqm 425 11 communities community NNS cord-132120-u5s5heqm 425 12 should should MD cord-132120-u5s5heqm 425 13 wait wait VB cord-132120-u5s5heqm 425 14 for for IN cord-132120-u5s5heqm 425 15 high high JJ cord-132120-u5s5heqm 425 16 quality quality NN cord-132120-u5s5heqm 425 17 data datum NNS cord-132120-u5s5heqm 425 18 to to TO cord-132120-u5s5heqm 425 19 act act VB cord-132120-u5s5heqm 425 20 ; ; : cord-132120-u5s5heqm 425 21 this this DT cord-132120-u5s5heqm 425 22 is be VBZ cord-132120-u5s5heqm 425 23 especially especially RB cord-132120-u5s5heqm 425 24 true true JJ cord-132120-u5s5heqm 425 25 in in IN cord-132120-u5s5heqm 425 26 the the DT cord-132120-u5s5heqm 425 27 current current JJ cord-132120-u5s5heqm 425 28 high high JJ cord-132120-u5s5heqm 425 29 risk risk NN cord-132120-u5s5heqm 425 30 scenario scenario NN cord-132120-u5s5heqm 425 31 . . . cord-132120-u5s5heqm 426 1 Instead instead RB cord-132120-u5s5heqm 426 2 , , , cord-132120-u5s5heqm 426 3 we -PRON- PRP cord-132120-u5s5heqm 426 4 should should MD cord-132120-u5s5heqm 426 5 aim aim VB cord-132120-u5s5heqm 426 6 to to TO cord-132120-u5s5heqm 426 7 have have VB cord-132120-u5s5heqm 426 8 high high JJ cord-132120-u5s5heqm 426 9 quality quality NN cord-132120-u5s5heqm 426 10 information information NN cord-132120-u5s5heqm 426 11 . . . cord-132120-u5s5heqm 427 1 Yet yet CC cord-132120-u5s5heqm 427 2 in in IN cord-132120-u5s5heqm 427 3 the the DT cord-132120-u5s5heqm 427 4 current current JJ cord-132120-u5s5heqm 427 5 crisis crisis NN cord-132120-u5s5heqm 427 6 we -PRON- PRP cord-132120-u5s5heqm 427 7 have have VBP cord-132120-u5s5heqm 427 8 just just RB cord-132120-u5s5heqm 427 9 that that DT cord-132120-u5s5heqm 427 10 . . . cord-132120-u5s5heqm 428 1 Indeed indeed RB cord-132120-u5s5heqm 428 2 , , , cord-132120-u5s5heqm 428 3 epidemiologists epidemiologist NNS cord-132120-u5s5heqm 428 4 and and CC cord-132120-u5s5heqm 428 5 public public JJ cord-132120-u5s5heqm 428 6 health health NN cord-132120-u5s5heqm 428 7 officials official NNS cord-132120-u5s5heqm 428 8 have have VBP cord-132120-u5s5heqm 428 9 a a DT cord-132120-u5s5heqm 428 10 strong strong JJ cord-132120-u5s5heqm 428 11 understanding understanding NN cord-132120-u5s5heqm 428 12 of of IN cord-132120-u5s5heqm 428 13 the the DT cord-132120-u5s5heqm 428 14 basic basic JJ cord-132120-u5s5heqm 428 15 facts fact NNS cord-132120-u5s5heqm 428 16 of of IN cord-132120-u5s5heqm 428 17 pandemics pandemic NNS cord-132120-u5s5heqm 428 18 and and CC cord-132120-u5s5heqm 428 19 disease disease NN cord-132120-u5s5heqm 428 20 spread spread VBD cord-132120-u5s5heqm 428 21 . . . cord-132120-u5s5heqm 429 1 Social social JJ cord-132120-u5s5heqm 429 2 distancing distancing NN cord-132120-u5s5heqm 429 3 , , , cord-132120-u5s5heqm 429 4 contact contact NN cord-132120-u5s5heqm 429 5 tracing tracing NN cord-132120-u5s5heqm 429 6 and and CC cord-132120-u5s5heqm 429 7 mass mass NN cord-132120-u5s5heqm 429 8 testing testing NN cord-132120-u5s5heqm 429 9 are be VBP cord-132120-u5s5heqm 429 10 all all RB cord-132120-u5s5heqm 429 11 important important JJ cord-132120-u5s5heqm 429 12 . . . cord-132120-u5s5heqm 430 1 Individuals individual NNS cord-132120-u5s5heqm 430 2 and and CC cord-132120-u5s5heqm 430 3 communities community NNS cord-132120-u5s5heqm 430 4 with with IN cord-132120-u5s5heqm 430 5 low low JJ cord-132120-u5s5heqm 430 6 quality quality NN cord-132120-u5s5heqm 430 7 data datum NNS cord-132120-u5s5heqm 430 8 and and CC cord-132120-u5s5heqm 430 9 only only RB cord-132120-u5s5heqm 430 10 basic basic JJ cord-132120-u5s5heqm 430 11 information information NN cord-132120-u5s5heqm 430 12 will will MD cord-132120-u5s5heqm 430 13 hopefully hopefully RB cord-132120-u5s5heqm 430 14 make make VB cord-132120-u5s5heqm 430 15 decisions decision NNS cord-132120-u5s5heqm 430 16 that that WDT cord-132120-u5s5heqm 430 17 respect respect VBP cord-132120-u5s5heqm 430 18 inherent inherent JJ cord-132120-u5s5heqm 430 19 risks risk NNS cord-132120-u5s5heqm 430 20 to to IN cord-132120-u5s5heqm 430 21 their -PRON- PRP$ cord-132120-u5s5heqm 430 22 well well JJ cord-132120-u5s5heqm 430 23 being be VBG cord-132120-u5s5heqm 430 24 as as RB cord-132120-u5s5heqm 430 25 well well RB cord-132120-u5s5heqm 430 26 as as IN cord-132120-u5s5heqm 430 27 the the DT cord-132120-u5s5heqm 430 28 high high JJ cord-132120-u5s5heqm 430 29 degree degree NN cord-132120-u5s5heqm 430 30 of of IN cord-132120-u5s5heqm 430 31 uncertainty uncertainty NN cord-132120-u5s5heqm 430 32 in in IN cord-132120-u5s5heqm 430 33 the the DT cord-132120-u5s5heqm 430 34 observed observed JJ cord-132120-u5s5heqm 430 35 data datum NNS cord-132120-u5s5heqm 430 36 . . . cord-132120-u5s5heqm 431 1 Of of RB cord-132120-u5s5heqm 431 2 course course RB cord-132120-u5s5heqm 431 3 , , , cord-132120-u5s5heqm 431 4 there there EX cord-132120-u5s5heqm 431 5 are be VBP cord-132120-u5s5heqm 431 6 trade trade NN cord-132120-u5s5heqm 431 7 - - HYPH cord-132120-u5s5heqm 431 8 offs off NNS cord-132120-u5s5heqm 431 9 and and CC cord-132120-u5s5heqm 431 10 long long JJ cord-132120-u5s5heqm 431 11 - - HYPH cord-132120-u5s5heqm 431 12 term term NN cord-132120-u5s5heqm 431 13 stay stay NN cord-132120-u5s5heqm 431 14 - - HYPH cord-132120-u5s5heqm 431 15 at at IN cord-132120-u5s5heqm 431 16 - - HYPH cord-132120-u5s5heqm 431 17 home home NN cord-132120-u5s5heqm 431 18 orders order NNS cord-132120-u5s5heqm 431 19 will will MD cord-132120-u5s5heqm 431 20 have have VB cord-132120-u5s5heqm 431 21 negative negative JJ cord-132120-u5s5heqm 431 22 economic economic JJ cord-132120-u5s5heqm 431 23 consequences consequence NNS cord-132120-u5s5heqm 431 24 . . . cord-132120-u5s5heqm 432 1 A a DT cord-132120-u5s5heqm 432 2 full full JJ cord-132120-u5s5heqm 432 3 discussion discussion NN cord-132120-u5s5heqm 432 4 of of IN cord-132120-u5s5heqm 432 5 these these DT cord-132120-u5s5heqm 432 6 topics topic NNS cord-132120-u5s5heqm 432 7 is be VBZ cord-132120-u5s5heqm 432 8 beyond beyond IN cord-132120-u5s5heqm 432 9 the the DT cord-132120-u5s5heqm 432 10 scope scope NN cord-132120-u5s5heqm 432 11 of of IN cord-132120-u5s5heqm 432 12 the the DT cord-132120-u5s5heqm 432 13 current current JJ cord-132120-u5s5heqm 432 14 article article NN cord-132120-u5s5heqm 432 15 . . . cord-132120-u5s5heqm 433 1 High high JJ cord-132120-u5s5heqm 433 2 quality quality NN cord-132120-u5s5heqm 433 3 information information NN cord-132120-u5s5heqm 433 4 on on IN cord-132120-u5s5heqm 433 5 prevalence prevalence NN cord-132120-u5s5heqm 433 6 . . . cord-132120-u5s5heqm 434 1 Governments government NNS cord-132120-u5s5heqm 434 2 are be VBP cord-132120-u5s5heqm 434 3 pushing push VBG cord-132120-u5s5heqm 434 4 for for IN cord-132120-u5s5heqm 434 5 increased increase VBN cord-132120-u5s5heqm 434 6 testing testing NN cord-132120-u5s5heqm 434 7 capacity capacity NN cord-132120-u5s5heqm 434 8 and and CC cord-132120-u5s5heqm 434 9 robust robust JJ cord-132120-u5s5heqm 434 10 contact contact NN cord-132120-u5s5heqm 434 11 tracing tracing NN cord-132120-u5s5heqm 434 12 . . . cord-132120-u5s5heqm 435 1 Contact contact NN cord-132120-u5s5heqm 435 2 tracing tracing NN cord-132120-u5s5heqm 435 3 is be VBZ cord-132120-u5s5heqm 435 4 incredibly incredibly RB cord-132120-u5s5heqm 435 5 useful useful JJ cord-132120-u5s5heqm 435 6 for for IN cord-132120-u5s5heqm 435 7 identifying identify VBG cord-132120-u5s5heqm 435 8 carriers carrier NNS cord-132120-u5s5heqm 435 9 early early RB cord-132120-u5s5heqm 435 10 and and CC cord-132120-u5s5heqm 435 11 preventing prevent VBG cord-132120-u5s5heqm 435 12 spread spread NN cord-132120-u5s5heqm 435 13 of of IN cord-132120-u5s5heqm 435 14 the the DT cord-132120-u5s5heqm 435 15 disease disease NN cord-132120-u5s5heqm 435 16 . . . cord-132120-u5s5heqm 436 1 We -PRON- PRP cord-132120-u5s5heqm 436 2 would would MD cord-132120-u5s5heqm 436 3 argue argue VB cord-132120-u5s5heqm 436 4 that that IN cord-132120-u5s5heqm 436 5 , , , cord-132120-u5s5heqm 436 6 after after IN cord-132120-u5s5heqm 436 7 the the DT cord-132120-u5s5heqm 436 8 current current JJ cord-132120-u5s5heqm 436 9 wave wave NN cord-132120-u5s5heqm 436 10 , , , cord-132120-u5s5heqm 436 11 understanding understand VBG cord-132120-u5s5heqm 436 12 prevalence prevalence NN cord-132120-u5s5heqm 436 13 is be VBZ cord-132120-u5s5heqm 436 14 also also RB cord-132120-u5s5heqm 436 15 key key JJ cord-132120-u5s5heqm 436 16 . . . cord-132120-u5s5heqm 437 1 We -PRON- PRP cord-132120-u5s5heqm 437 2 know know VBP cord-132120-u5s5heqm 437 3 that that IN cord-132120-u5s5heqm 437 4 the the DT cord-132120-u5s5heqm 437 5 probability probability NN cord-132120-u5s5heqm 437 6 of of IN cord-132120-u5s5heqm 437 7 an an DT cord-132120-u5s5heqm 437 8 outbreak outbreak NN cord-132120-u5s5heqm 437 9 is be VBZ cord-132120-u5s5heqm 437 10 a a DT cord-132120-u5s5heqm 437 11 function function NN cord-132120-u5s5heqm 437 12 of of IN cord-132120-u5s5heqm 437 13 current current JJ cord-132120-u5s5heqm 437 14 prevalence prevalence NN cord-132120-u5s5heqm 437 15 and and CC cord-132120-u5s5heqm 437 16 network network NN cord-132120-u5s5heqm 437 17 connectivity connectivity NN cord-132120-u5s5heqm 437 18 . . . cord-132120-u5s5heqm 438 1 Epidemic epidemic NN cord-132120-u5s5heqm 438 2 critical critical JJ cord-132120-u5s5heqm 438 3 thresholds threshold NNS cord-132120-u5s5heqm 438 4 have have VBP cord-132120-u5s5heqm 438 5 been be VBN cord-132120-u5s5heqm 438 6 derived derive VBN cord-132120-u5s5heqm 438 7 for for IN cord-132120-u5s5heqm 438 8 many many JJ cord-132120-u5s5heqm 438 9 infectious infectious JJ cord-132120-u5s5heqm 438 10 disease disease NN cord-132120-u5s5heqm 438 11 models model NNS cord-132120-u5s5heqm 438 12 Pastor Pastor NNP cord-132120-u5s5heqm 438 13 - - HYPH cord-132120-u5s5heqm 438 14 Satorras Satorras NNP cord-132120-u5s5heqm 438 15 and and CC cord-132120-u5s5heqm 438 16 Vespignani Vespignani NNP cord-132120-u5s5heqm 438 17 [ [ -LRB- cord-132120-u5s5heqm 438 18 2001 2001 CD cord-132120-u5s5heqm 438 19 ] ] -RRB- cord-132120-u5s5heqm 438 20 , , , cord-132120-u5s5heqm 438 21 Newman Newman NNP cord-132120-u5s5heqm 438 22 [ [ -LRB- cord-132120-u5s5heqm 438 23 2002 2002 CD cord-132120-u5s5heqm 438 24 ] ] -RRB- cord-132120-u5s5heqm 438 25 , , , cord-132120-u5s5heqm 438 26 Parshani Parshani NNP cord-132120-u5s5heqm 438 27 et et NNP cord-132120-u5s5heqm 438 28 al al NNP cord-132120-u5s5heqm 438 29 . . . cord-132120-u5s5heqm 439 1 [ [ -LRB- cord-132120-u5s5heqm 439 2 2010 2010 CD cord-132120-u5s5heqm 439 3 ] ] -RRB- cord-132120-u5s5heqm 439 4 . . . cord-132120-u5s5heqm 440 1 Knowing know VBG cord-132120-u5s5heqm 440 2 prevalence prevalence NN cord-132120-u5s5heqm 440 3 will will MD cord-132120-u5s5heqm 440 4 help help VB cord-132120-u5s5heqm 440 5 governments government NNS cord-132120-u5s5heqm 440 6 determine determine VB cord-132120-u5s5heqm 440 7 long long JJ cord-132120-u5s5heqm 440 8 - - HYPH cord-132120-u5s5heqm 440 9 term term NN cord-132120-u5s5heqm 440 10 communitylevel communitylevel NN cord-132120-u5s5heqm 440 11 risk risk NN cord-132120-u5s5heqm 440 12 and and CC cord-132120-u5s5heqm 440 13 allow allow VB cord-132120-u5s5heqm 440 14 for for IN cord-132120-u5s5heqm 440 15 more more RBR cord-132120-u5s5heqm 440 16 targeted target VBN cord-132120-u5s5heqm 440 17 interventions intervention NNS cord-132120-u5s5heqm 440 18 -shutting -shutte VBG cord-132120-u5s5heqm 440 19 down down RP cord-132120-u5s5heqm 440 20 only only RB cord-132120-u5s5heqm 440 21 certain certain JJ cord-132120-u5s5heqm 440 22 locations location NNS cord-132120-u5s5heqm 440 23 when when WRB cord-132120-u5s5heqm 440 24 necessary necessary JJ cord-132120-u5s5heqm 440 25 . . . cord-132120-u5s5heqm 441 1 Data data NN cord-132120-u5s5heqm 441 2 quantity quantity NN cord-132120-u5s5heqm 441 3 versus versus IN cord-132120-u5s5heqm 441 4 quality quality NN cord-132120-u5s5heqm 441 5 . . . cord-132120-u5s5heqm 442 1 Governments government NNS cord-132120-u5s5heqm 442 2 implicitly implicitly RB cord-132120-u5s5heqm 442 3 argue argue VBP cord-132120-u5s5heqm 442 4 that that IN cord-132120-u5s5heqm 442 5 increased increase VBN cord-132120-u5s5heqm 442 6 testing testing NN cord-132120-u5s5heqm 442 7 capacity capacity NN cord-132120-u5s5heqm 442 8 will will MD cord-132120-u5s5heqm 442 9 perform perform VB cord-132120-u5s5heqm 442 10 the the DT cord-132120-u5s5heqm 442 11 above above JJ cord-132120-u5s5heqm 442 12 task task NN cord-132120-u5s5heqm 442 13 . . . cord-132120-u5s5heqm 443 1 Without without IN cord-132120-u5s5heqm 443 2 complete complete JJ cord-132120-u5s5heqm 443 3 compliance compliance NN cord-132120-u5s5heqm 443 4 , , , cord-132120-u5s5heqm 443 5 however however RB cord-132120-u5s5heqm 443 6 , , , cord-132120-u5s5heqm 443 7 our -PRON- PRP$ cord-132120-u5s5heqm 443 8 understanding understanding NN cord-132120-u5s5heqm 443 9 of of IN cord-132120-u5s5heqm 443 10 future future JJ cord-132120-u5s5heqm 443 11 outbreaks outbreak NNS cord-132120-u5s5heqm 443 12 may may MD cord-132120-u5s5heqm 443 13 be be VB cord-132120-u5s5heqm 443 14 plagued plague VBN cord-132120-u5s5heqm 443 15 by by IN cord-132120-u5s5heqm 443 16 self self NN cord-132120-u5s5heqm 443 17 - - HYPH cord-132120-u5s5heqm 443 18 selection selection NN cord-132120-u5s5heqm 443 19 bias bias NN cord-132120-u5s5heqm 443 20 , , , cord-132120-u5s5heqm 443 21 compounded compound VBN cord-132120-u5s5heqm 443 22 by by IN cord-132120-u5s5heqm 443 23 changing change VBG cord-132120-u5s5heqm 443 24 sensitivity sensitivity NN cord-132120-u5s5heqm 443 25 and and CC cord-132120-u5s5heqm 443 26 specificity specificity NN cord-132120-u5s5heqm 443 27 rates rate NNS cord-132120-u5s5heqm 443 28 . . . cord-132120-u5s5heqm 444 1 Random random JJ cord-132120-u5s5heqm 444 2 testing testing NN cord-132120-u5s5heqm 444 3 removes remove VBZ cord-132120-u5s5heqm 444 4 these these DT cord-132120-u5s5heqm 444 5 effect effect NN cord-132120-u5s5heqm 444 6 modifiers modifier NNS cord-132120-u5s5heqm 444 7 , , , cord-132120-u5s5heqm 444 8 giving give VBG cord-132120-u5s5heqm 444 9 governments government NNS cord-132120-u5s5heqm 444 10 more more JJR cord-132120-u5s5heqm 444 11 information information NN cord-132120-u5s5heqm 444 12 to to TO cord-132120-u5s5heqm 444 13 fight fight VB cord-132120-u5s5heqm 444 14 the the DT cord-132120-u5s5heqm 444 15 disease disease NN cord-132120-u5s5heqm 444 16 . . . cord-132120-u5s5heqm 445 1 This this DT cord-132120-u5s5heqm 445 2 is be VBZ cord-132120-u5s5heqm 445 3 not not RB cord-132120-u5s5heqm 445 4 to to TO cord-132120-u5s5heqm 445 5 say say VB cord-132120-u5s5heqm 445 6 random random JJ cord-132120-u5s5heqm 445 7 testing testing NN cord-132120-u5s5heqm 445 8 should should MD cord-132120-u5s5heqm 445 9 replace replace VB cord-132120-u5s5heqm 445 10 current current JJ cord-132120-u5s5heqm 445 11 testing testing NN cord-132120-u5s5heqm 445 12 practices practice NNS cord-132120-u5s5heqm 445 13 ; ; : cord-132120-u5s5heqm 445 14 only only RB cord-132120-u5s5heqm 445 15 that that IN cord-132120-u5s5heqm 445 16 the the DT cord-132120-u5s5heqm 445 17 random random JJ cord-132120-u5s5heqm 445 18 testing testing NN cord-132120-u5s5heqm 445 19 should should MD cord-132120-u5s5heqm 445 20 supplement supplement VB cord-132120-u5s5heqm 445 21 and and CC cord-132120-u5s5heqm 445 22 will will MD cord-132120-u5s5heqm 445 23 provide provide VB cord-132120-u5s5heqm 445 24 valuable valuable JJ cord-132120-u5s5heqm 445 25 additional additional JJ cord-132120-u5s5heqm 445 26 information information NN cord-132120-u5s5heqm 445 27 even even RB cord-132120-u5s5heqm 445 28 with with IN cord-132120-u5s5heqm 445 29 moderate moderate JJ cord-132120-u5s5heqm 445 30 sample sample NN cord-132120-u5s5heqm 445 31 sizes size NNS cord-132120-u5s5heqm 445 32 . . . cord-132120-u5s5heqm 446 1 Model model NN cord-132120-u5s5heqm 446 2 - - HYPH cord-132120-u5s5heqm 446 3 based base VBN cord-132120-u5s5heqm 446 4 solutions solution NNS cord-132120-u5s5heqm 446 5 . . . cord-132120-u5s5heqm 447 1 One one CD cord-132120-u5s5heqm 447 2 alternative alternative JJ cord-132120-u5s5heqm 447 3 approach approach NN cord-132120-u5s5heqm 447 4 to to IN cord-132120-u5s5heqm 447 5 what what WP cord-132120-u5s5heqm 447 6 is be VBZ cord-132120-u5s5heqm 447 7 presented present VBN cord-132120-u5s5heqm 447 8 in in IN cord-132120-u5s5heqm 447 9 this this DT cord-132120-u5s5heqm 447 10 article article NN cord-132120-u5s5heqm 447 11 is be VBZ cord-132120-u5s5heqm 447 12 a a DT cord-132120-u5s5heqm 447 13 model model NN cord-132120-u5s5heqm 447 14 - - HYPH cord-132120-u5s5heqm 447 15 based base VBN cord-132120-u5s5heqm 447 16 extension extension NN cord-132120-u5s5heqm 447 17 of of IN cord-132120-u5s5heqm 447 18 SIR SIR NNP cord-132120-u5s5heqm 447 19 models model NNS cord-132120-u5s5heqm 447 20 to to TO cord-132120-u5s5heqm 447 21 try try VB cord-132120-u5s5heqm 447 22 and and CC cord-132120-u5s5heqm 447 23 capture capture VB cord-132120-u5s5heqm 447 24 both both DT cord-132120-u5s5heqm 447 25 selection selection NN cord-132120-u5s5heqm 447 26 bias bias NN cord-132120-u5s5heqm 447 27 and and CC cord-132120-u5s5heqm 447 28 measurement measurement NN cord-132120-u5s5heqm 447 29 error error NN cord-132120-u5s5heqm 447 30 ; ; : cord-132120-u5s5heqm 447 31 however however RB cord-132120-u5s5heqm 447 32 , , , cord-132120-u5s5heqm 447 33 without without IN cord-132120-u5s5heqm 447 34 strong strong JJ cord-132120-u5s5heqm 447 35 assumptions assumption NNS cord-132120-u5s5heqm 447 36 on on IN cord-132120-u5s5heqm 447 37 the the DT cord-132120-u5s5heqm 447 38 selection selection NN cord-132120-u5s5heqm 447 39 mechanism mechanism NN cord-132120-u5s5heqm 447 40 , , , cord-132120-u5s5heqm 447 41 the the DT cord-132120-u5s5heqm 447 42 estimates estimate NNS cord-132120-u5s5heqm 447 43 are be VBP cord-132120-u5s5heqm 447 44 often often RB cord-132120-u5s5heqm 447 45 not not RB cord-132120-u5s5heqm 447 46 nonparametrically nonparametrically RB cord-132120-u5s5heqm 447 47 identifiable identifiable JJ cord-132120-u5s5heqm 447 48 . . . cord-132120-u5s5heqm 448 1 When when WRB cord-132120-u5s5heqm 448 2 an an DT cord-132120-u5s5heqm 448 3 issue issue NN cord-132120-u5s5heqm 448 4 " " `` cord-132120-u5s5heqm 448 5 can can MD cord-132120-u5s5heqm 448 6 not not RB cord-132120-u5s5heqm 448 7 be be VB cord-132120-u5s5heqm 448 8 resolved resolve VBN cord-132120-u5s5heqm 448 9 nonparametrically nonparametrically RB cord-132120-u5s5heqm 448 10 then then RB cord-132120-u5s5heqm 448 11 it -PRON- PRP cord-132120-u5s5heqm 448 12 is be VBZ cord-132120-u5s5heqm 448 13 usually usually RB cord-132120-u5s5heqm 448 14 dangerous dangerous JJ cord-132120-u5s5heqm 448 15 to to TO cord-132120-u5s5heqm 448 16 resolve resolve VB cord-132120-u5s5heqm 448 17 it -PRON- PRP cord-132120-u5s5heqm 448 18 parametrically parametrically RB cord-132120-u5s5heqm 448 19 " " '' cord-132120-u5s5heqm 449 1 [ [ -LRB- cord-132120-u5s5heqm 449 2 Cox Cox NNP cord-132120-u5s5heqm 449 3 and and CC cord-132120-u5s5heqm 449 4 Hinkley Hinkley NNP cord-132120-u5s5heqm 449 5 , , , cord-132120-u5s5heqm 449 6 1974 1974 CD cord-132120-u5s5heqm 449 7 , , , cord-132120-u5s5heqm 449 8 pp pp NNP cord-132120-u5s5heqm 449 9 . . NNP cord-132120-u5s5heqm 449 10 96 96 CD cord-132120-u5s5heqm 449 11 ] ] -RRB- cord-132120-u5s5heqm 449 12 . . . cord-132120-u5s5heqm 450 1 In in IN cord-132120-u5s5heqm 450 2 the the DT cord-132120-u5s5heqm 450 3 absence absence NN cord-132120-u5s5heqm 450 4 of of IN cord-132120-u5s5heqm 450 5 randomized randomized JJ cord-132120-u5s5heqm 450 6 experiments experiment NNS cord-132120-u5s5heqm 450 7 , , , cord-132120-u5s5heqm 450 8 the the DT cord-132120-u5s5heqm 450 9 best good JJS cord-132120-u5s5heqm 450 10 route route NN cord-132120-u5s5heqm 450 11 forward forward RB cord-132120-u5s5heqm 450 12 using use VBG cord-132120-u5s5heqm 450 13 any any DT cord-132120-u5s5heqm 450 14 approach approach NN cord-132120-u5s5heqm 450 15 is be VBZ cord-132120-u5s5heqm 450 16 the the DT cord-132120-u5s5heqm 450 17 use use NN cord-132120-u5s5heqm 450 18 of of IN cord-132120-u5s5heqm 450 19 detailed detailed JJ cord-132120-u5s5heqm 450 20 sensitivity sensitivity NN cord-132120-u5s5heqm 450 21 analyses analysis NNS cord-132120-u5s5heqm 450 22 and and CC cord-132120-u5s5heqm 450 23 humility humility NN cord-132120-u5s5heqm 450 24 in in IN cord-132120-u5s5heqm 450 25 conclusions conclusion NNS cord-132120-u5s5heqm 450 26 drawn draw VBN cord-132120-u5s5heqm 450 27 from from IN cord-132120-u5s5heqm 450 28 such such JJ cord-132120-u5s5heqm 450 29 data datum NNS cord-132120-u5s5heqm 450 30 sources source NNS cord-132120-u5s5heqm 450 31 . . . cord-132120-u5s5heqm 451 1 We -PRON- PRP cord-132120-u5s5heqm 451 2 considered consider VBD cord-132120-u5s5heqm 451 3 the the DT cord-132120-u5s5heqm 451 4 mean mean JJ cord-132120-u5s5heqm 451 5 estimator estimator NN cord-132120-u5s5heqm 451 6 _SP cord-132120-u5s5heqm 452 1 The the DT cord-132120-u5s5heqm 452 2 term term NN cord-132120-u5s5heqm 452 3 in in IN cord-132120-u5s5heqm 452 4 parentheses parenthesis NNS cord-132120-u5s5heqm 452 5 can can MD cord-132120-u5s5heqm 452 6 be be VB cord-132120-u5s5heqm 452 7 re re VBN cord-132120-u5s5heqm 452 8 - - VBN cord-132120-u5s5heqm 452 9 written write VBN cord-132120-u5s5heqm 453 1 as as IN cord-132120-u5s5heqm 453 2 which which WDT cord-132120-u5s5heqm 453 3 agrees agree VBZ cord-132120-u5s5heqm 453 4 with with IN cord-132120-u5s5heqm 453 5 Meng Meng NNP cord-132120-u5s5heqm 453 6 's 's POS cord-132120-u5s5heqm 453 7 ( ( -LRB- cord-132120-u5s5heqm 453 8 2019 2019 CD cord-132120-u5s5heqm 453 9 ) ) -RRB- cord-132120-u5s5heqm 453 10 decomposition decomposition NN cord-132120-u5s5heqm 453 11 . . . cord-132120-u5s5heqm 454 1 For for IN cord-132120-u5s5heqm 454 2 the the DT cord-132120-u5s5heqm 454 3 other other JJ cord-132120-u5s5heqm 454 4 term term NN cord-132120-u5s5heqm 454 5 , , , cord-132120-u5s5heqm 454 6 first first RB cord-132120-u5s5heqm 454 7 we -PRON- PRP cord-132120-u5s5heqm 454 8 define define VBP cord-132120-u5s5heqm 454 9 Then then RB cord-132120-u5s5heqm 455 1 the the DT cord-132120-u5s5heqm 455 2 term term NN cord-132120-u5s5heqm 455 3 can can MD cord-132120-u5s5heqm 455 4 be be VB cord-132120-u5s5heqm 455 5 re re VBN cord-132120-u5s5heqm 455 6 - - VBN cord-132120-u5s5heqm 455 7 written write VBN cord-132120-u5s5heqm 455 8 as as IN cord-132120-u5s5heqm 455 9 The the DT cord-132120-u5s5heqm 455 10 term term NN cord-132120-u5s5heqm 455 11 in in IN cord-132120-u5s5heqm 455 12 parentheses parenthesis NNS cord-132120-u5s5heqm 455 13 can can MD cord-132120-u5s5heqm 455 14 be be VB cord-132120-u5s5heqm 455 15 re re VBN cord-132120-u5s5heqm 455 16 - - VBN cord-132120-u5s5heqm 455 17 expressed express VBN cord-132120-u5s5heqm 455 18 using use VBG cord-132120-u5s5heqm 455 19 the the DT cord-132120-u5s5heqm 455 20 previous previous JJ cord-132120-u5s5heqm 455 21 technique technique NN cord-132120-u5s5heqm 455 22 as as IN cord-132120-u5s5heqm 455 23 : : : cord-132120-u5s5heqm 455 24 where where WRB cord-132120-u5s5heqm 455 25 now now RB cord-132120-u5s5heqm 455 26 the the DT cord-132120-u5s5heqm 455 27 " " `` cord-132120-u5s5heqm 455 28 data data NN cord-132120-u5s5heqm 455 29 defect defect NN cord-132120-u5s5heqm 455 30 " " '' cord-132120-u5s5heqm 455 31 and and CC cord-132120-u5s5heqm 455 32 " " `` cord-132120-u5s5heqm 455 33 problem problem NN cord-132120-u5s5heqm 455 34 difficulty difficulty NN cord-132120-u5s5heqm 455 35 " " '' cord-132120-u5s5heqm 455 36 are be VBP cord-132120-u5s5heqm 455 37 with with IN cord-132120-u5s5heqm 455 38 respect respect NN cord-132120-u5s5heqm 455 39 to to IN cord-132120-u5s5heqm 455 40 P p NN cord-132120-u5s5heqm 455 41 Z z NN cord-132120-u5s5heqm 455 42 rather rather RB cord-132120-u5s5heqm 455 43 than than IN cord-132120-u5s5heqm 455 44 Y Y NNP cord-132120-u5s5heqm 455 45 . . . cord-132120-u5s5heqm 456 1 The the DT cord-132120-u5s5heqm 456 2 final final JJ cord-132120-u5s5heqm 456 3 term term NN cord-132120-u5s5heqm 456 4 is be VBZ cord-132120-u5s5heqm 456 5 equal equal JJ cord-132120-u5s5heqm 456 6 to to IN cord-132120-u5s5heqm 456 7 Combining combine VBG cord-132120-u5s5heqm 456 8 these these DT cord-132120-u5s5heqm 456 9 yields yield NNS cord-132120-u5s5heqm 456 10 : : : cord-132120-u5s5heqm 457 1 For for IN cord-132120-u5s5heqm 457 2 the the DT cord-132120-u5s5heqm 457 3 binary binary JJ cord-132120-u5s5heqm 457 4 outcome outcome NN cord-132120-u5s5heqm 457 5 Y Y NNP cord-132120-u5s5heqm 457 6 , , , cord-132120-u5s5heqm 457 7 we -PRON- PRP cord-132120-u5s5heqm 457 8 have have VBP cord-132120-u5s5heqm 457 9 σ σ NN cord-132120-u5s5heqm 457 10 Y Y NNP cord-132120-u5s5heqm 458 1 = = NFP cord-132120-u5s5heqm 458 2 Ȳ ȳ NN cord-132120-u5s5heqm 458 3 ( ( -LRB- cord-132120-u5s5heqm 458 4 1 1 CD cord-132120-u5s5heqm 458 5 −Ȳ −Ȳ NNP cord-132120-u5s5heqm 458 6 ) ) -RRB- cord-132120-u5s5heqm 458 7 . . . cord-132120-u5s5heqm 459 1 Moreover moreover RB cord-132120-u5s5heqm 459 2 , , , cord-132120-u5s5heqm 459 3 Then then RB cord-132120-u5s5heqm 459 4 the the DT cord-132120-u5s5heqm 459 5 formula formula NN cord-132120-u5s5heqm 459 6 for for IN cord-132120-u5s5heqm 459 7 the the DT cord-132120-u5s5heqm 459 8 error error NN cord-132120-u5s5heqm 459 9 is be VBZ cord-132120-u5s5heqm 459 10 given give VBN cord-132120-u5s5heqm 459 11 by by IN cord-132120-u5s5heqm 459 12 : : : cord-132120-u5s5heqm 459 13 _SP cord-132120-u5s5heqm 460 1 We -PRON- PRP cord-132120-u5s5heqm 460 2 can can MD cord-132120-u5s5heqm 460 3 then then RB cord-132120-u5s5heqm 460 4 re re VB cord-132120-u5s5heqm 460 5 - - VB cord-132120-u5s5heqm 460 6 write write VB cord-132120-u5s5heqm 461 1 ρ ρ NFP cord-132120-u5s5heqm 461 2 I -PRON- PRP cord-132120-u5s5heqm 461 3 , , , cord-132120-u5s5heqm 461 4 Y Y NNP cord-132120-u5s5heqm 461 5 σ σ NNP cord-132120-u5s5heqm 462 1 Y y NN cord-132120-u5s5heqm 462 2 + + CC cord-132120-u5s5heqm 462 3 ρ ρ FW cord-132120-u5s5heqm 462 4 I -PRON- PRP cord-132120-u5s5heqm 462 5 , , , cord-132120-u5s5heqm 462 6 P p NN cord-132120-u5s5heqm 462 7 Z z NN cord-132120-u5s5heqm 462 8 σ σ NN cord-132120-u5s5heqm 462 9 P p NN cord-132120-u5s5heqm 462 10 Z z NN cord-132120-u5s5heqm 463 1 as as IN cord-132120-u5s5heqm 463 2 Then then RB cord-132120-u5s5heqm 463 3 ∆ ∆ NNP cord-132120-u5s5heqm 463 4 = = FW cord-132120-u5s5heqm 463 5 f f NN cord-132120-u5s5heqm 463 6 1 1 CD cord-132120-u5s5heqm 463 7 − − NN cord-132120-u5s5heqm 463 8 f f NN cord-132120-u5s5heqm 463 9 0 0 CD cord-132120-u5s5heqm 463 10 = = NFP cord-132120-u5s5heqm 464 1 f f LS cord-132120-u5s5heqm 464 2 0 0 CD cord-132120-u5s5heqm 465 1 ( ( -LRB- cord-132120-u5s5heqm 465 2 M M NNP cord-132120-u5s5heqm 465 3 − − NNP cord-132120-u5s5heqm 465 4 1 1 CD cord-132120-u5s5heqm 465 5 ) ) -RRB- cord-132120-u5s5heqm 465 6 and and CC cord-132120-u5s5heqm 466 1 f f LS cord-132120-u5s5heqm 466 2 0 0 CD cord-132120-u5s5heqm 466 3 ( ( -LRB- cord-132120-u5s5heqm 466 4 1 1 CD cord-132120-u5s5heqm 466 5 −Ȳ −Ȳ NNP cord-132120-u5s5heqm 466 6 ) ) -RRB- cord-132120-u5s5heqm 466 7 + + CC cord-132120-u5s5heqm 467 1 f f LS cord-132120-u5s5heqm 467 2 1Ȳ 1ȳ CD cord-132120-u5s5heqm 468 1 = = SYM cord-132120-u5s5heqm 468 2 f f NNP cord-132120-u5s5heqm 468 3 0 0 CD cord-132120-u5s5heqm 468 4 ( ( -LRB- cord-132120-u5s5heqm 468 5 ( ( -LRB- cord-132120-u5s5heqm 468 6 1 1 CD cord-132120-u5s5heqm 468 7 −Ȳ −Ȳ NNP cord-132120-u5s5heqm 468 8 ) ) -RRB- cord-132120-u5s5heqm 468 9 + + CC cord-132120-u5s5heqm 468 10 MȲ MȲ NNP cord-132120-u5s5heqm 468 11 ) ) -RRB- cord-132120-u5s5heqm 468 12 and and CC cord-132120-u5s5heqm 468 13 we -PRON- PRP cord-132120-u5s5heqm 468 14 can can MD cord-132120-u5s5heqm 468 15 re re VB cord-132120-u5s5heqm 468 16 - - VB cord-132120-u5s5heqm 468 17 write write VB cord-132120-u5s5heqm 468 18 above above RB cord-132120-u5s5heqm 468 19 as as IN cord-132120-u5s5heqm 468 20 A.2 a.2 NN cord-132120-u5s5heqm 468 21 . . . cord-132120-u5s5heqm 469 1 Ratio ratio NN cord-132120-u5s5heqm 469 2 estimator estimator NN cord-132120-u5s5heqm 469 3 . . . cord-132120-u5s5heqm 470 1 Let let VB cord-132120-u5s5heqm 470 2 u u PRP cord-132120-u5s5heqm 470 3 = = NFP cord-132120-u5s5heqm 470 4 ( ( -LRB- cord-132120-u5s5heqm 470 5 u u NNP cord-132120-u5s5heqm 470 6 t−1 t−1 NNP cord-132120-u5s5heqm 470 7 , , , cord-132120-u5s5heqm 470 8 u u NNP cord-132120-u5s5heqm 470 9 t t NN cord-132120-u5s5heqm 470 10 ) ) -RRB- cord-132120-u5s5heqm 470 11 ∈ ∈ NN cord-132120-u5s5heqm 470 12 R r NN cord-132120-u5s5heqm 470 13 2 2 CD cord-132120-u5s5heqm 470 14 and and CC cord-132120-u5s5heqm 470 15 g(u g(u CD cord-132120-u5s5heqm 470 16 ) ) -RRB- cord-132120-u5s5heqm 470 17 = = NFP cord-132120-u5s5heqm 471 1 ut ut UH cord-132120-u5s5heqm 472 1 ut−1 ut−1 DT cord-132120-u5s5heqm 473 1 , , , cord-132120-u5s5heqm 473 2 i.e. i.e. FW cord-132120-u5s5heqm 473 3 , , , cord-132120-u5s5heqm 473 4 a a DT cord-132120-u5s5heqm 473 5 differentiable differentiable JJ cord-132120-u5s5heqm 473 6 function function NN cord-132120-u5s5heqm 473 7 g g NN cord-132120-u5s5heqm 473 8 : : : cord-132120-u5s5heqm 473 9 R r NN cord-132120-u5s5heqm 473 10 2 2 CD cord-132120-u5s5heqm 474 1 → → IN cord-132120-u5s5heqm 474 2 R. R. NNP cord-132120-u5s5heqm 474 3 Centering center VBG cord-132120-u5s5heqm 474 4 a a DT cord-132120-u5s5heqm 474 5 Taylor Taylor NNP cord-132120-u5s5heqm 474 6 series series NN cord-132120-u5s5heqm 474 7 expansion expansion NN cord-132120-u5s5heqm 474 8 of of IN cord-132120-u5s5heqm 474 9 second second JJ cord-132120-u5s5heqm 474 10 - - HYPH cord-132120-u5s5heqm 474 11 order order NN cord-132120-u5s5heqm 474 12 around around IN cord-132120-u5s5heqm 474 13 coordinates coordinate NNS cord-132120-u5s5heqm 474 14 ( ( -LRB- cord-132120-u5s5heqm 474 15 U U NNP cord-132120-u5s5heqm 474 16 2 2 CD cord-132120-u5s5heqm 474 17 , , , cord-132120-u5s5heqm 474 18 U U NNP cord-132120-u5s5heqm 474 19 1 1 CD cord-132120-u5s5heqm 474 20 ) ) -RRB- cord-132120-u5s5heqm 475 1 ∈ ∈ NN cord-132120-u5s5heqm 475 2 R r NN cord-132120-u5s5heqm 475 3 2 2 CD cord-132120-u5s5heqm 475 4 yields yield NNS cord-132120-u5s5heqm 475 5 Plugging plug VBG cord-132120-u5s5heqm 475 6 in in IN cord-132120-u5s5heqm 475 7 ( ( -LRB- cord-132120-u5s5heqm 475 8 ȳ ȳ FW cord-132120-u5s5heqm 475 9 t−1 t−1 NNP cord-132120-u5s5heqm 475 10 , , , cord-132120-u5s5heqm 475 11 ȳ ȳ NNP cord-132120-u5s5heqm 475 12 t t NNP cord-132120-u5s5heqm 475 13 ) ) -RRB- cord-132120-u5s5heqm 475 14 for for IN cord-132120-u5s5heqm 475 15 ( ( -LRB- cord-132120-u5s5heqm 475 16 u u NNP cord-132120-u5s5heqm 475 17 t−1 t−1 NNP cord-132120-u5s5heqm 475 18 , , , cord-132120-u5s5heqm 475 19 u u NNP cord-132120-u5s5heqm 475 20 t t NNP cord-132120-u5s5heqm 475 21 ) ) -RRB- cord-132120-u5s5heqm 475 22 and and CC cord-132120-u5s5heqm 475 23 ( ( -LRB- cord-132120-u5s5heqm 475 24 Ȳ ȳ UH cord-132120-u5s5heqm 475 25 t−1 t−1 NN cord-132120-u5s5heqm 475 26 , , , cord-132120-u5s5heqm 475 27 Ȳ Ȳ NNP cord-132120-u5s5heqm 475 28 t t NN cord-132120-u5s5heqm 475 29 ) ) -RRB- cord-132120-u5s5heqm 475 30 for for IN cord-132120-u5s5heqm 475 31 ( ( -LRB- cord-132120-u5s5heqm 475 32 U u VB cord-132120-u5s5heqm 475 33 t−1 t−1 NN cord-132120-u5s5heqm 475 34 , , , cord-132120-u5s5heqm 475 35 U U NNP cord-132120-u5s5heqm 475 36 t t NN cord-132120-u5s5heqm 475 37 ) ) -RRB- cord-132120-u5s5heqm 475 38 yields yield VBZ cord-132120-u5s5heqm 476 1 theȳ theȳ NNP cord-132120-u5s5heqm 476 2 t t NNP cord-132120-u5s5heqm 476 3 yt−1 yt−1 PRP cord-132120-u5s5heqm 477 1 −Ȳ −Ȳ NNP cord-132120-u5s5heqm 477 2 t t NNP cord-132120-u5s5heqm 477 3 Yt−1 Yt−1 NNP cord-132120-u5s5heqm 477 4 is be VBZ cord-132120-u5s5heqm 477 5 equal equal JJ cord-132120-u5s5heqm 477 6 to to IN cord-132120-u5s5heqm 477 7 where where WRB cord-132120-u5s5heqm 477 8 the the DT cord-132120-u5s5heqm 477 9 second second JJ cord-132120-u5s5heqm 477 10 equality equality NN cord-132120-u5s5heqm 477 11 is be VBZ cord-132120-u5s5heqm 477 12 obtained obtain VBN cord-132120-u5s5heqm 477 13 by by IN cord-132120-u5s5heqm 477 14 plugging plug VBG cord-132120-u5s5heqm 477 15 in in IN cord-132120-u5s5heqm 477 16 the the DT cord-132120-u5s5heqm 477 17 statistical statistical JJ cord-132120-u5s5heqm 477 18 decomposition decomposition NN cord-132120-u5s5heqm 477 19 of of IN cord-132120-u5s5heqm 477 20 the the DT cord-132120-u5s5heqm 477 21 error error NN cord-132120-u5s5heqm 477 22 for for IN cord-132120-u5s5heqm 477 23 both both DT cord-132120-u5s5heqm 477 24 time time NN cord-132120-u5s5heqm 477 25 points point NNS cord-132120-u5s5heqm 477 26 and and CC cord-132120-u5s5heqm 477 27 the the DT cord-132120-u5s5heqm 477 28 coefficient coefficient NN cord-132120-u5s5heqm 477 29 of of IN cord-132120-u5s5heqm 477 30 variation variation NN cord-132120-u5s5heqm 477 31 being be VBG cord-132120-u5s5heqm 477 32 defined define VBN cord-132120-u5s5heqm 477 33 as as IN cord-132120-u5s5heqm 477 34 CV CV NNP cord-132120-u5s5heqm 477 35 ( ( -LRB- cord-132120-u5s5heqm 477 36 Y Y NNP cord-132120-u5s5heqm 477 37 ) ) -RRB- cord-132120-u5s5heqm 477 38 : : : cord-132120-u5s5heqm 478 1 = = NFP cord-132120-u5s5heqm 479 1 σ σ NNP cord-132120-u5s5heqm 479 2 Y Y NNP cord-132120-u5s5heqm 479 3 /µ /µ NNP cord-132120-u5s5heqm 479 4 Y Y NNP cord-132120-u5s5heqm 479 5 . . . cord-132120-u5s5heqm 480 1 Under under IN cord-132120-u5s5heqm 480 2 measurement measurement NN cord-132120-u5s5heqm 480 3 error error NN cord-132120-u5s5heqm 480 4 , , , cord-132120-u5s5heqm 480 5 the the DT cord-132120-u5s5heqm 480 6 extra extra JJ cord-132120-u5s5heqm 480 7 terms term NNS cord-132120-u5s5heqm 480 8 D d NN cord-132120-u5s5heqm 480 9 2 2 CD cord-132120-u5s5heqm 480 10 and and CC cord-132120-u5s5heqm 480 11 D d NN cord-132120-u5s5heqm 480 12 1 1 CD cord-132120-u5s5heqm 480 13 can can MD cord-132120-u5s5heqm 480 14 be be VB cord-132120-u5s5heqm 480 15 inserted insert VBN cord-132120-u5s5heqm 480 16 in in IN cord-132120-u5s5heqm 480 17 the the DT cord-132120-u5s5heqm 480 18 correct correct JJ cord-132120-u5s5heqm 480 19 locations location NNS cord-132120-u5s5heqm 480 20 . . . cord-132120-u5s5heqm 481 1 A.3 A.3 NNP cord-132120-u5s5heqm 481 2 . . . cord-132120-u5s5heqm 482 1 Estimation estimation NN cord-132120-u5s5heqm 482 2 of of IN cord-132120-u5s5heqm 482 3 effective effective JJ cord-132120-u5s5heqm 482 4 reproduction reproduction NN cord-132120-u5s5heqm 482 5 number number NN cord-132120-u5s5heqm 482 6 . . . cord-132120-u5s5heqm 483 1 Let let VB cord-132120-u5s5heqm 483 2 Then then RB cord-132120-u5s5heqm 483 3 results result NNS cord-132120-u5s5heqm 483 4 from from IN cord-132120-u5s5heqm 483 5 Section section NN cord-132120-u5s5heqm 483 6 A.2 A.2 NNP cord-132120-u5s5heqm 483 7 show show VBP cord-132120-u5s5heqm 483 8 that that IN cord-132120-u5s5heqm 483 9 the the DT cord-132120-u5s5heqm 483 10 estimate estimate NN cord-132120-u5s5heqm 483 11 of of IN cord-132120-u5s5heqm 483 12 the the DT cord-132120-u5s5heqm 483 13 number number NN cord-132120-u5s5heqm 483 14 of of IN cord-132120-u5s5heqm 483 15 new new JJ cord-132120-u5s5heqm 483 16 cases case NNS cord-132120-u5s5heqm 483 17 on on IN cord-132120-u5s5heqm 483 18 day day NN cord-132120-u5s5heqm 483 19 t t NN cord-132120-u5s5heqm 483 20 is be VBZ cord-132120-u5s5heqm 483 21 given give VBN cord-132120-u5s5heqm 483 22 by by IN cord-132120-u5s5heqm 483 23 Then then RB cord-132120-u5s5heqm 483 24 setting set VBG cord-132120-u5s5heqm 483 25 e e NN cord-132120-u5s5heqm 483 26 t t NN cord-132120-u5s5heqm 483 27 = = SYM cord-132120-u5s5heqm 483 28 δ δ NN cord-132120-u5s5heqm 483 29 t t NNP cord-132120-u5s5heqm 483 30 × × NN cord-132120-u5s5heqm 483 31 [ [ -LRB- cord-132120-u5s5heqm 484 1 1 1 LS cord-132120-u5s5heqm 484 2 − − NN cord-132120-u5s5heqm 484 3 ρ ρ . cord-132120-u5s5heqm 485 1 It−1,Kt−1 It−1,Kt−1 NNP cord-132120-u5s5heqm 485 2 D D NNP cord-132120-u5s5heqm 485 3 Mt−1 Mt−1 NNP cord-132120-u5s5heqm 486 1 Appendix Appendix NNP cord-132120-u5s5heqm 486 2 B. B. NNP cord-132120-u5s5heqm 486 3 Derivation Derivation NNP cord-132120-u5s5heqm 486 4 for for IN cord-132120-u5s5heqm 486 5 the the DT cord-132120-u5s5heqm 486 6 effective effective JJ cord-132120-u5s5heqm 486 7 sample sample NN cord-132120-u5s5heqm 486 8 size size NN cord-132120-u5s5heqm 486 9 Using use VBG cord-132120-u5s5heqm 486 10 this this DT cord-132120-u5s5heqm 486 11 computation computation NN cord-132120-u5s5heqm 487 1 , , , cord-132120-u5s5heqm 487 2 we -PRON- PRP cord-132120-u5s5heqm 487 3 compute compute VBP cord-132120-u5s5heqm 487 4 effective effective JJ cord-132120-u5s5heqm 487 5 sample sample NN cord-132120-u5s5heqm 487 6 size size NN cord-132120-u5s5heqm 487 7 under under IN cord-132120-u5s5heqm 487 8 a a DT cord-132120-u5s5heqm 487 9 range range NN cord-132120-u5s5heqm 487 10 of of IN cord-132120-u5s5heqm 487 11 valuesȳ valuesȳ NNS cord-132120-u5s5heqm 487 12 , , , cord-132120-u5s5heqm 487 13 M M NNP cord-132120-u5s5heqm 487 14 with with IN cord-132120-u5s5heqm 487 15 f f NNP cord-132120-u5s5heqm 488 1 = = SYM cord-132120-u5s5heqm 488 2 0.026 0.026 CD cord-132120-u5s5heqm 488 3 ( ( -LRB- cord-132120-u5s5heqm 488 4 i.e. i.e. FW cord-132120-u5s5heqm 488 5 , , , cord-132120-u5s5heqm 488 6 current current JJ cord-132120-u5s5heqm 488 7 sampling sampling NN cord-132120-u5s5heqm 488 8 fraction fraction NN cord-132120-u5s5heqm 488 9 ) ) -RRB- cord-132120-u5s5heqm 488 10 and and CC cord-132120-u5s5heqm 488 11 f f NNP cord-132120-u5s5heqm 488 12 = = NN cord-132120-u5s5heqm 488 13 1/7 1/7 CD cord-132120-u5s5heqm 488 14 ( ( -LRB- cord-132120-u5s5heqm 488 15 sample sample NN cord-132120-u5s5heqm 488 16 individuals individual NNS cord-132120-u5s5heqm 488 17 roughly roughly RB cord-132120-u5s5heqm 488 18 every every DT cord-132120-u5s5heqm 488 19 7 7 CD cord-132120-u5s5heqm 488 20 days day NNS cord-132120-u5s5heqm 488 21 ) ) -RRB- cord-132120-u5s5heqm 488 22 . . . cord-132120-u5s5heqm 488 23 _SP cord-132120-u5s5heqm 489 1 An an DT cord-132120-u5s5heqm 489 2 analytic analytic JJ cord-132120-u5s5heqm 489 3 framework framework NN cord-132120-u5s5heqm 489 4 for for IN cord-132120-u5s5heqm 489 5 exploring explore VBG cord-132120-u5s5heqm 489 6 sampling sampling NN cord-132120-u5s5heqm 489 7 and and CC cord-132120-u5s5heqm 489 8 observation observation NN cord-132120-u5s5heqm 489 9 process process NN cord-132120-u5s5heqm 489 10 biases bias NNS cord-132120-u5s5heqm 489 11 in in IN cord-132120-u5s5heqm 489 12 genome genome NN cord-132120-u5s5heqm 489 13 and and CC cord-132120-u5s5heqm 489 14 phenomewide phenomewide NNP cord-132120-u5s5heqm 489 15 association association NNP cord-132120-u5s5heqm 489 16 studies study NNS cord-132120-u5s5heqm 489 17 using use VBG cord-132120-u5s5heqm 489 18 electronic electronic JJ cord-132120-u5s5heqm 489 19 health health NN cord-132120-u5s5heqm 489 20 records record NNS cord-132120-u5s5heqm 489 21 Statistical statistical JJ cord-132120-u5s5heqm 489 22 inference inference NN cord-132120-u5s5heqm 489 23 for for IN cord-132120-u5s5heqm 489 24 association association NN cord-132120-u5s5heqm 489 25 studies study NNS cord-132120-u5s5heqm 489 26 using use VBG cord-132120-u5s5heqm 489 27 electronic electronic JJ cord-132120-u5s5heqm 489 28 health health NN cord-132120-u5s5heqm 489 29 records record NNS cord-132120-u5s5heqm 489 30 : : : cord-132120-u5s5heqm 489 31 handling handle VBG cord-132120-u5s5heqm 489 32 both both DT cord-132120-u5s5heqm 489 33 selection selection NN cord-132120-u5s5heqm 489 34 bias bias NN cord-132120-u5s5heqm 489 35 and and CC cord-132120-u5s5heqm 489 36 outcome outcome NN cord-132120-u5s5heqm 489 37 misclassification misclassification NN cord-132120-u5s5heqm 489 38 . . . cord-132120-u5s5heqm 490 1 medRxiv medRxiv NNP cord-132120-u5s5heqm 490 2 Covid-19 Covid-19 NNP cord-132120-u5s5heqm 490 3 antibody antibody NN cord-132120-u5s5heqm 490 4 seroprevalence seroprevalence NN cord-132120-u5s5heqm 490 5 in in IN cord-132120-u5s5heqm 490 6 santa santa NNP cord-132120-u5s5heqm 490 7 clara clara NNP cord-132120-u5s5heqm 490 8 county county NNP cord-132120-u5s5heqm 490 9 Real Real NNP cord-132120-u5s5heqm 490 10 time time NN cord-132120-u5s5heqm 490 11 bayesian bayesian JJ cord-132120-u5s5heqm 490 12 estimation estimation NN cord-132120-u5s5heqm 490 13 of of IN cord-132120-u5s5heqm 490 14 the the DT cord-132120-u5s5heqm 490 15 epidemic epidemic NN cord-132120-u5s5heqm 490 16 potential potential NN cord-132120-u5s5heqm 490 17 of of IN cord-132120-u5s5heqm 490 18 emerging emerge VBG cord-132120-u5s5heqm 490 19 infectious infectious JJ cord-132120-u5s5heqm 490 20 diseases disease NNS cord-132120-u5s5heqm 490 21 Sampling sampling NN cord-132120-u5s5heqm 490 22 Techniques Techniques NNPS cord-132120-u5s5heqm 490 23 Theoretical Theoretical NNP cord-132120-u5s5heqm 490 24 Statistics statistic NNS cord-132120-u5s5heqm 490 25 Forecasting forecast VBG cord-132120-u5s5heqm 490 26 the the DT cord-132120-u5s5heqm 490 27 impact impact NN cord-132120-u5s5heqm 490 28 of of IN cord-132120-u5s5heqm 490 29 the the DT cord-132120-u5s5heqm 490 30 first first JJ cord-132120-u5s5heqm 490 31 wave wave NN cord-132120-u5s5heqm 490 32 of of IN cord-132120-u5s5heqm 490 33 the the DT cord-132120-u5s5heqm 490 34 covid-19 covid-19 JJ cord-132120-u5s5heqm 490 35 pandemic pandemic NN cord-132120-u5s5heqm 490 36 on on IN cord-132120-u5s5heqm 490 37 hospital hospital NN cord-132120-u5s5heqm 490 38 demand demand NN cord-132120-u5s5heqm 490 39 and and CC cord-132120-u5s5heqm 490 40 deaths death NNS cord-132120-u5s5heqm 490 41 for for IN cord-132120-u5s5heqm 490 42 the the DT cord-132120-u5s5heqm 490 43 usa usa NNP cord-132120-u5s5heqm 490 44 and and CC cord-132120-u5s5heqm 490 45 european european NNP cord-132120-u5s5heqm 490 46 economic economic NNP cord-132120-u5s5heqm 490 47 area area NN cord-132120-u5s5heqm 490 48 countries country NNS cord-132120-u5s5heqm 490 49 . . . cord-132120-u5s5heqm 491 1 medRxiv medRxiv NNS cord-132120-u5s5heqm 491 2 A a DT cord-132120-u5s5heqm 491 3 fiasco fiasco NN cord-132120-u5s5heqm 491 4 in in IN cord-132120-u5s5heqm 491 5 the the DT cord-132120-u5s5heqm 491 6 making making NN cord-132120-u5s5heqm 491 7 ? ? . cord-132120-u5s5heqm 492 1 as as IN cord-132120-u5s5heqm 492 2 the the DT cord-132120-u5s5heqm 492 3 coronavirus coronavirus NN cord-132120-u5s5heqm 492 4 pandemic pandemic NN cord-132120-u5s5heqm 492 5 takes take VBZ cord-132120-u5s5heqm 492 6 hold hold NN cord-132120-u5s5heqm 492 7 , , , cord-132120-u5s5heqm 492 8 we -PRON- PRP cord-132120-u5s5heqm 492 9 are be VBP cord-132120-u5s5heqm 492 10 making make VBG cord-132120-u5s5heqm 492 11 decisions decision NNS cord-132120-u5s5heqm 492 12 without without IN cord-132120-u5s5heqm 492 13 reliable reliable JJ cord-132120-u5s5heqm 492 14 data datum NNS cord-132120-u5s5heqm 492 15 . . . cord-132120-u5s5heqm 493 1 Stat Stat NNP cord-132120-u5s5heqm 493 2 News News NNP cord-132120-u5s5heqm 493 3 , , , cord-132120-u5s5heqm 493 4 2020 2020 CD cord-132120-u5s5heqm 493 5 . . . cord-132120-u5s5heqm 494 1 N. N. NNP cord-132120-u5s5heqm 494 2 Keiding Keiding NNP cord-132120-u5s5heqm 494 3 and and CC cord-132120-u5s5heqm 494 4 T. T. NNP cord-132120-u5s5heqm 494 5 A. a. NN cord-132120-u5s5heqm 494 6 Louis Louis NNP cord-132120-u5s5heqm 494 7 . . . cord-132120-u5s5heqm 495 1 Perils peril NNS cord-132120-u5s5heqm 495 2 and and CC cord-132120-u5s5heqm 495 3 potentials potential NNS cord-132120-u5s5heqm 495 4 of of IN cord-132120-u5s5heqm 495 5 selfselected selfselecte VBN cord-132120-u5s5heqm 495 6 entry entry NN cord-132120-u5s5heqm 495 7 to to IN cord-132120-u5s5heqm 495 8 epidemiological epidemiological JJ cord-132120-u5s5heqm 495 9 studies study NNS cord-132120-u5s5heqm 495 10 and and CC cord-132120-u5s5heqm 495 11 surveys survey NNS cord-132120-u5s5heqm 495 12 Lockdown Lockdown NNP cord-132120-u5s5heqm 495 13 ca can MD cord-132120-u5s5heqm 495 14 nt not RB cord-132120-u5s5heqm 495 15 last last VB cord-132120-u5s5heqm 495 16 forever forever RB cord-132120-u5s5heqm 495 17 . . . cord-132120-u5s5heqm 496 1 heres heres UH cord-132120-u5s5heqm 496 2 how how WRB cord-132120-u5s5heqm 496 3 to to TO cord-132120-u5s5heqm 496 4 lift lift VB cord-132120-u5s5heqm 496 5 it -PRON- PRP cord-132120-u5s5heqm 496 6 Statistical statistical JJ cord-132120-u5s5heqm 496 7 paradises paradise NNS cord-132120-u5s5heqm 496 8 and and CC cord-132120-u5s5heqm 496 9 paradoxes paradox NNS cord-132120-u5s5heqm 496 10 in in IN cord-132120-u5s5heqm 496 11 big big JJ cord-132120-u5s5heqm 496 12 data datum NNS cord-132120-u5s5heqm 496 13 ( ( -LRB- cord-132120-u5s5heqm 496 14 i i NN cord-132120-u5s5heqm 496 15 ) ) -RRB- cord-132120-u5s5heqm 496 16 : : : cord-132120-u5s5heqm 497 1 Law law NN cord-132120-u5s5heqm 497 2 of of IN cord-132120-u5s5heqm 497 3 large large JJ cord-132120-u5s5heqm 497 4 populations population NNS cord-132120-u5s5heqm 497 5 , , , cord-132120-u5s5heqm 497 6 big big JJ cord-132120-u5s5heqm 497 7 data datum NNS cord-132120-u5s5heqm 497 8 paradox paradox NN cord-132120-u5s5heqm 497 9 , , , cord-132120-u5s5heqm 497 10 and and CC cord-132120-u5s5heqm 497 11 the the DT cord-132120-u5s5heqm 497 12 2016 2016 CD cord-132120-u5s5heqm 497 13 us us NNP cord-132120-u5s5heqm 497 14 presidential presidential JJ cord-132120-u5s5heqm 497 15 election election NN cord-132120-u5s5heqm 497 16 Epidemic epidemic NN cord-132120-u5s5heqm 497 17 threshold threshold NN cord-132120-u5s5heqm 497 18 for for IN cord-132120-u5s5heqm 497 19 the the DT cord-132120-u5s5heqm 497 20 sis sis NNP cord-132120-u5s5heqm 497 21 model model NN cord-132120-u5s5heqm 497 22 on on IN cord-132120-u5s5heqm 497 23 random random JJ cord-132120-u5s5heqm 497 24 networks network NNS cord-132120-u5s5heqm 497 25 Epidemic epidemic NN cord-132120-u5s5heqm 497 26 spreading spread VBG cord-132120-u5s5heqm 497 27 in in IN cord-132120-u5s5heqm 497 28 scale scale NN cord-132120-u5s5heqm 497 29 - - HYPH cord-132120-u5s5heqm 497 30 free free JJ cord-132120-u5s5heqm 497 31 networks network NNS cord-132120-u5s5heqm 497 32 Predictions prediction NNS cord-132120-u5s5heqm 497 33 , , , cord-132120-u5s5heqm 497 34 role role NN cord-132120-u5s5heqm 497 35 of of IN cord-132120-u5s5heqm 497 36 interventions intervention NNS cord-132120-u5s5heqm 497 37 and and CC cord-132120-u5s5heqm 497 38 effects effect NNS cord-132120-u5s5heqm 497 39 of of IN cord-132120-u5s5heqm 497 40 a a DT cord-132120-u5s5heqm 497 41 historic historic JJ cord-132120-u5s5heqm 497 42 national national JJ cord-132120-u5s5heqm 497 43 lockdown lockdown NN cord-132120-u5s5heqm 497 44 in in IN cord-132120-u5s5heqm 497 45 india india NNP cord-132120-u5s5heqm 497 46 's 's POS cord-132120-u5s5heqm 497 47 response response NN cord-132120-u5s5heqm 497 48 to to IN cord-132120-u5s5heqm 497 49 the the DT cord-132120-u5s5heqm 497 50 covid-19 covid-19 NNP cord-132120-u5s5heqm 497 51 pandemic pandemic NN cord-132120-u5s5heqm 497 52 : : : cord-132120-u5s5heqm 497 53 data datum NNS cord-132120-u5s5heqm 497 54 science science NN cord-132120-u5s5heqm 497 55 call call NN cord-132120-u5s5heqm 497 56 to to IN cord-132120-u5s5heqm 497 57 arms arm NNS cord-132120-u5s5heqm 497 58 . . . cord-132120-u5s5heqm 498 1 medRxiv medRxiv NNP cord-132120-u5s5heqm 498 2 High high JJ cord-132120-u5s5heqm 498 3 contagiousness contagiousness NN cord-132120-u5s5heqm 498 4 and and CC cord-132120-u5s5heqm 498 5 rapid rapid JJ cord-132120-u5s5heqm 498 6 spread spread NN cord-132120-u5s5heqm 498 7 of of IN cord-132120-u5s5heqm 498 8 severe severe JJ cord-132120-u5s5heqm 498 9 acute acute JJ cord-132120-u5s5heqm 498 10 respiratory respiratory JJ cord-132120-u5s5heqm 498 11 syndrome syndrome NN cord-132120-u5s5heqm 498 12 coronavirus coronavirus NN cord-132120-u5s5heqm 498 13 2 2 CD cord-132120-u5s5heqm 498 14 . . . cord-132120-u5s5heqm 499 1 Emerg Emerg NNP cord-132120-u5s5heqm 499 2 Infect infect VB cord-132120-u5s5heqm 499 3 Dis Dis NNP cord-132120-u5s5heqm 500 1 Why why WRB cord-132120-u5s5heqm 500 2 we -PRON- PRP cord-132120-u5s5heqm 500 3 must must MD cord-132120-u5s5heqm 500 4 test test VB cord-132120-u5s5heqm 500 5 millions million NNS cord-132120-u5s5heqm 500 6 a a DT cord-132120-u5s5heqm 500 7 day day NN cord-132120-u5s5heqm 500 8 . . . cord-132120-u5s5heqm 501 1 COVID-19 COVID-19 NNP cord-132120-u5s5heqm 501 2 Rapid Rapid NNP cord-132120-u5s5heqm 501 3 Response Response NNP cord-132120-u5s5heqm 501 4 Impact Impact NNP cord-132120-u5s5heqm 501 5 Initiative Initiative NNP cord-132120-u5s5heqm 501 6 Coronavirus Coronavirus NNP cord-132120-u5s5heqm 501 7 in in IN cord-132120-u5s5heqm 501 8 the the DT cord-132120-u5s5heqm 501 9 us us NNP cord-132120-u5s5heqm 502 1 An an DT cord-132120-u5s5heqm 502 2 epidemiological epidemiological JJ cord-132120-u5s5heqm 502 3 forecast forecast NN cord-132120-u5s5heqm 502 4 model model NN cord-132120-u5s5heqm 502 5 and and CC cord-132120-u5s5heqm 502 6 software software NN cord-132120-u5s5heqm 502 7 assessing assess VBG cord-132120-u5s5heqm 502 8 interventions intervention NNS cord-132120-u5s5heqm 502 9 on on IN cord-132120-u5s5heqm 502 10 covid-19 covid-19 CD cord-132120-u5s5heqm 502 11 epidemic epidemic NN cord-132120-u5s5heqm 502 12 in in IN cord-132120-u5s5heqm 502 13 china china NNP cord-132120-u5s5heqm 502 14 . . . cord-132120-u5s5heqm 503 1 medRxiv medRxiv NNS cord-132120-u5s5heqm 503 2 , , , cord-132120-u5s5heqm 503 3 2020 2020 CD cord-132120-u5s5heqm 503 4 . . . cord-132120-u5s5heqm 504 1 Maarten Maarten NNP cord-132120-u5s5heqm 504 2 van van NNP cord-132120-u5s5heqm 504 3 Smeden Smeden NNP cord-132120-u5s5heqm 504 4 Appendix Appendix NNP cord-132120-u5s5heqm 504 5 A. a. NN cord-132120-u5s5heqm 504 6 Imperfect imperfect JJ cord-132120-u5s5heqm 504 7 testing testing NN cord-132120-u5s5heqm 504 8 : : : cord-132120-u5s5heqm 504 9 derivation derivation NN