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

Abstract

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
JournalBiometrics
Volume45
Issue number1
DOIs
StatePublished - Mar 1989
Externally publishedYes

ASJC Scopus subject areas

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

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