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

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

Research output: Contribution to journalArticle

7 Citations (Scopus)

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 languageEnglish (US)
Pages (from-to)947-950
Number of pages4
JournalBiometrics
Volume56
Issue number3
StatePublished - 2000
Externally publishedYes

Fingerprint

Beta-binomial Model
Goodness of Fit Test
Statistical Models
Binomial Distribution
Extra-binomial Variation
Likelihood
Beta-binomial Distribution
Binomial Model
Binomial distribution
Goodness of fit
Biometrics
Animals
Litter Size
Proportion
testing
Laboratory Animals
Binary
Toxicology
Alternatives
Fetus

Keywords

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

ASJC Scopus subject areas

  • Agricultural and Biological Sciences(all)
  • Public Health, Environmental and Occupational Health
  • Agricultural and Biological Sciences (miscellaneous)
  • Applied Mathematics
  • Statistics and Probability

Cite this

Garren, S. T., Smith, R. L., Piegorsch, W. W., Brooks, S., Morgan, B., & Ridout, M. (2000). On a likelihood-based goodness-of-fit test of the beta-binomial model. Biometrics, 56(3), 947-950.

On a likelihood-based goodness-of-fit test of the beta-binomial model. / Garren, S. T.; Smith, R. L.; Piegorsch, Walter W; Brooks, S.; Morgan, B.; Ridout, M.

In: Biometrics, Vol. 56, No. 3, 2000, p. 947-950.

Research output: Contribution to journalArticle

Garren, ST, Smith, RL, Piegorsch, WW, Brooks, S, Morgan, B & Ridout, M 2000, 'On a likelihood-based goodness-of-fit test of the beta-binomial model', Biometrics, vol. 56, no. 3, pp. 947-950.
Garren ST, Smith RL, Piegorsch WW, Brooks S, Morgan B, Ridout M. On a likelihood-based goodness-of-fit test of the beta-binomial model. Biometrics. 2000;56(3):947-950.
Garren, S. T. ; Smith, R. L. ; Piegorsch, Walter W ; Brooks, S. ; Morgan, B. ; Ridout, M. / On a likelihood-based goodness-of-fit test of the beta-binomial model. In: Biometrics. 2000 ; Vol. 56, No. 3. pp. 947-950.
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