On a likelihood-based goodness-of-fit test of the beta-binomial model

S. T. Garren, R. L. Smith, W. W. Piegorsch, S. Brooks, B. Morgan, M. Ridout

Research output: Contribution to journalReview articlepeer-review

10 Scopus citations


When faced with proportion data that exhibit extra-binomial variation, data analysts often consider the beta-binomial distribution as an alternative model to the more common binomial distribution. A typical example occurs in toxicological experiments with laboratory animals, where binary observations on fetuses within a litter are often correlated with each other. In such instances, it may be of interest to test for the goodness of fit of the beta-binomial model; this effort is complicated, however, when there is large variability among the litter sizes. We investigate a recent goodness-of-fit test proposed by Brooks et al. (1997, Biometrics 53, 1097-1115) but find that it lacks the ability to distinguish between the beta-binomial model and some severely non-beta-binomial models. Other tests and models developed in their article are quite useful and interesting but are not examined herein.

Original languageEnglish (US)
Pages (from-to)947-949
Number of pages3
Issue number3
StatePublished - 2000


  • Beta-binomial
  • Goodness-of-fit
  • Likelihood
  • Overdispersion
  • Pearson statistic

ASJC Scopus subject areas

  • Statistics and Probability
  • Biochemistry, Genetics and Molecular Biology(all)
  • Immunology and Microbiology(all)
  • Agricultural and Biological Sciences(all)
  • Applied Mathematics


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