A comparison of homogeneity tests in Poisson distribution based on Mont Carlo simulation

Year 2015, Volume: 36 Issue: 3, 710 - 714, 13.05.2015

Tahereh Bahramı , Somayyeh Chashıanı

Abstract

Abstract. In this article, we introduce tests for examining the hypothesis of whether the observations in a Poisson distribution with the same parameters fit with the observations of Poisson distribution with different parameters. When Poisson parameter is small, and the sample volume is large, homogeneity tests like Conditional Chi-square test, Likelihood ratio, and Nymen-Scott test are not efficient enough. Therefore, in this article, another test which is efficient enough in these conditioned is introduced, named Anscombe test. At last, based on Mont Carlo simulation we compare these tests in terms of performance and accuracy, and we illustrate use of them through a real example.

Keywords

homogeneity test, likelihood ratio test, chi-square test, Anscombe transformation, Poisson distribution

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