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Test of suitability of normal distribution based on Cramer-von Mises statistics

Shabri, Ani Bin and Jemain, Abdul Aziz (2007) Test of suitability of normal distribution based on Cramer-von Mises statistics. Sains Malaysiana, 36 (2). pp. 201-206. ISSN 0126-6039

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Abstract

Since normal distributions are the most important ones in statistics, there are large number of tests for normality. However they have less some drawbacks. Some of these tests are simple but suitable for some situations. In this study, the traditional Cramer-von Mises test statistics is modified based on Weibull formula. The new goodness-of-fit test is compared with the traditional Anderson-Darling (AD), Cramer von-Mises (CR), Kolmogorov-Smirnov (KS) and Shapiro-Wilk (SW) test statistics. A simulation study using several different distributions shows that the proposed test is very powerful for testing normality.

Item Type:Article
Uncontrolled Keywords:Cramer von-Mises, Kolmogorov-Smirnov, Shapiro-Wilk, test of normality
Subjects:Q Science > QA Mathematics
Divisions:Science
ID Code:7641
Deposited By: Maznira Sylvia Azra Mansor
Deposited On:13 Jan 2009 03:29
Last Modified:13 Jan 2009 03:29

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