On testing departure from the binomial and multinomial assumptions.

S. R. Paul, K. Y. Liang, S. G. Self

Research output: Contribution to journalArticlepeer-review

33 Scopus citations


This paper is concerned with testing the multinomial (binomial) assumption against the Dirichlet-multinomial (beta-binomial) alternatives. In particular, we discuss the distribution of the asymptotic likelihood ratio (LR) test and obtain the C(alpha) goodness-of-fit test statistic. The inadequacy of the regular chi-square approximation to the LR test is supported by some Monte Carlo experiments. The C(alpha) test is recommended based on empirical significance level and power and also computational simplicity. Two examples are given.

Original languageEnglish (US)
Pages (from-to)231-236
Number of pages6
Issue number1
StatePublished - Mar 1989

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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