On testing departure from the binomial and multinomial assumptions.

S R Paul; K Y Liang; S G Self

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PubMed · 2720053

On testing departure from the binomial and multinomial assumptions.

S R Paul·K Y Liang·S G Self

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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.

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Computer Simulation Models, Statistical Monte Carlo Method Operations Research Sampling Studies Journal Article Research Support, Non-U.S. Gov't

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S R Paul, K Y Liang, S G Self. 1989. On testing departure from the binomial and multinomial assumptions.. https://pubmed.ncbi.nlm.nih.gov/2720053/

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