การทดสอบภาวะสารูปดีสำหรับการแจกแจงปัวซงกรณีที่ ไม่ทราบค่าพารามิเตอร์โดยใช้ตารางค่าวิกฤตที่สร้างใหม่

Vanida   Pongsakchat

Authors

Vanida Pongsakchat Department of Mathematics, Faculty of Science, Burapha University

Keywords:

Poisson distribution , Goodness of fit test , Critical values , Power of the test , Type I error

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.

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