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Longitudinal beta-binomial modeling using GEE for overdispersed binomial data
Journal article   Peer reviewed

Longitudinal beta-binomial modeling using GEE for overdispersed binomial data

Hongqian Wu, Ying Zhang and Jeffrey D. Long
Statistics in medicine, Vol.36(6), pp.1029-1040
03/01/2017
DOI: 10.1002/sim.7191
PMID: 27917499

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Abstract

Longitudinal binomial data are frequently generated from multiple questionnaires and assessments in various scientific settings for which the binomial data are often overdispersed. The standard generalized linear mixed effects model may result in severe underestimation of standard errors of estimated regression parameters in such cases and hence potentially bias the statistical inference. In this paper, we propose a longitudinal beta-binomial model for overdispersed binomial data and estimate the regression parameters under a probit model using the generalized estimating equation method. A hybrid algorithm of the Fisher scoring and the method of moments is implemented for computing the method. Extensive simulation studies are conducted to justify the validity of the proposed method. Finally, the proposed method is applied to analyze functional impairment in subjects who are at risk of Huntington disease from a multisite observational study of prodromal Huntington disease. Copyright (C) 2016 John Wiley & Sons, Ltd.
Life Sciences & Biomedicine Mathematical & Computational Biology Mathematics Medical Informatics Medicine, Research & Experimental Physical Sciences Public, Environmental & Occupational Health Research & Experimental Medicine Science & Technology Statistics & Probability

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