On testing departure from the binomial and multinomial assumptions.

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

doi:10.2307/2532048

On testing departure from the binomial and multinomial assumptions.

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

Bloomberg School of Public Health

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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 language	English (US)
Pages (from-to)	231-236
Number of pages	6
Journal	Biometrics
Volume	45
Issue number	1
DOIs	https://doi.org/10.2307/2532048
State	Published - 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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On testing departure from the binomial and multinomial assumptions.

Abstract

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