id	author	title	date	pages	extension	mime	words	sentences	flesch	summary	cache	txt
cord-344870-tbgqulpu	Lloyd-Smith, James O.	Maximum Likelihood Estimation of the Negative Binomial Dispersion Parameter for Highly Overdispersed Data, with Applications to Infectious Diseases	2007-02-14		.txt	text/plain	5997	290	50	METHODOLOGY: This article presents a simulation study exploring the bias, precision, and confidence interval coverage of maximum-likelihood estimates of k from highly overdispersed distributions. In addition to exploring small-sample bias on negative binomial estimates, the study addresses estimation from datasets influenced by two types of event under-counting, and from disease transmission data subject to selection bias for successful outbreaks. This study uses simulated data to assess the bias and precision of NB parameter estimates and the coverage accuracy of CIs for highly overdispersed datasets, addressing the challenges of small datasets as well as potential biases arising in the data collection process. In the epidemiological context that motivated this study, these values x i correspond to the numbers of secondary cases that were infected by n different infectious individuals, but similar data could arise from many other processes.	./cache/cord-344870-tbgqulpu.txt	./txt/cord-344870-tbgqulpu.txt