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Goodness of Fit Tests for the Poisson Distribution with Unknown Parameter Using the New Critical Value Tables | Pongsakchat | งดใช้ระบบ 3-31 กค 66 Burapha Science Journal

Goodness of Fit Tests for the Poisson Distribution with Unknown Parameter Using the New Critical Value Tables

Vanida Pongsakchat

Abstract


This study aims to establish the critical values tables for Kolmogorov-Smirnov, Cramer-von Mises and Anderson-Darling tests for the Poisson distribution with unknown parameter. Additionally, examined how well these tests performed when using the new critical value tables based on type I error rate and power of the test. The results showed that the Kolmogorov-Smirnov test could not control type I error as well as the Cramer-von Mises and Anderson-Darling tests. In almost every situation, the Cramer-von Mises test provided the most powerful test. Furthermore, as the sample size increase, the power of each test increases.  

 

Keywords :  Poisson distribution ; Goodness of fit test ; Critical values ; Power of the test ; Type I error


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References


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