Longitudinal beta-binomial modeling using GEE for overdispersed binomial data

Hongqian Wu, Ying Zhang, Jeffrey D. Long

Research output: Contribution to journalArticlepeer-review

8 Scopus citations


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.

Original languageEnglish (US)
Pages (from-to)1029-1040
Number of pages12
JournalStatistics in Medicine
Issue number6
StatePublished - Mar 15 2017
Externally publishedYes


  • beta-binomial model
  • generalized estimating equation
  • generalized linear mixed-effects model
  • overdispersion
  • probit model

ASJC Scopus subject areas

  • Epidemiology
  • Statistics and Probability


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