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

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Cumhuriyet Üniversitesi Fen-Edebiyat Fakültesi Fen Bilimleri Dergisi
Volume:36 Issue:3
A comparison of homogeneity tests in Poisson distribution based on Mont Carlo simulation

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

Authors : Tahereh BAHRAMI, Somayyeh CHASHIANI

Pages : 710-714

View : 54 | Download : 9

Publication Date : 2015-05-13

Article Type : Review Paper

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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