On testing departure from the binomial and multinomial assumptions.

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

Research output: Contribution to journalArticle

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
StatePublished - Mar 1989
Externally publishedYes

Fingerprint

Likelihood Ratio Test
Beta-binomial
Statistics
Testing
Significance level
Chi-square
Monte Carlo Experiment
Goodness of Fit Test
Dirichlet
Test Statistic
Simplicity
Experiments
testing
Alternatives
Approximation
statistics

ASJC Scopus subject areas

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

Cite this

Paul, S. R., Liang, K. Y., & Self, S. G. (1989). On testing departure from the binomial and multinomial assumptions. Biometrics, 45(1), 231-236.

On testing departure from the binomial and multinomial assumptions. / Paul, S. R.; Liang, K. Y.; Self, S. G.

In: Biometrics, Vol. 45, No. 1, 03.1989, p. 231-236.

Research output: Contribution to journalArticle

Paul, SR, Liang, KY & Self, SG 1989, 'On testing departure from the binomial and multinomial assumptions.', Biometrics, vol. 45, no. 1, pp. 231-236.
Paul SR, Liang KY, Self SG. On testing departure from the binomial and multinomial assumptions. Biometrics. 1989 Mar;45(1):231-236.
Paul, S. R. ; Liang, K. Y. ; Self, S. G. / On testing departure from the binomial and multinomial assumptions. In: Biometrics. 1989 ; Vol. 45, No. 1. pp. 231-236.
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