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Some Remarks on Testing Overdispersion in Zero-Inflated Poisson and Binomial Regression Models
Authors:Zhao Yang  James W Hardin  Cheryl L Addy
Institution:1. Quintiles, Inc. , Overland Park, Kansas, USA tonyyangsxz@gmail.com;3. Department of Epidemiology and Biostatistics, Arnold School of Public Health , University of South Carolina , Columbia, South Carolina, USA
Abstract:This note extends the score test statistics for overdispersion in Poisson and binomial regression models (Dean, 1992 Dean , C. B. ( 1992 ). Testing for overdispersion in Poisson and binomial regression models . J. Amer. Statist. Assoc. 87 : 451457 .Taylor & Francis Online], Web of Science ®] Google Scholar]) to the zero-inflated models. Some general results are obtained, and examples illustrate the application of the extended results.
Keywords:Binomial regression model  Exponential family  Overdispersion  Poisson model  Score test  Zero-inflation
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