### Abstract

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 language | English (US) |
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Pages (from-to) | 947-949 |

Number of pages | 3 |

Journal | Biometrics |

Volume | 56 |

Issue number | 3 |

State | Published - Jan 1 2000 |

Externally published | Yes |

### Keywords

- 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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## Cite this

*Biometrics*,

*56*(3), 947-949.