Test of suitability of normal distribution based on Cramer-von Mises statistics
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 bas...
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2007
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| Online Access: | http://eprints.utm.my/7641/ |
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| author | Shabri, Ani Bin Jemain, Abdul Aziz |
| author_facet | Shabri, Ani Bin Jemain, Abdul Aziz |
| author_sort | Shabri, Ani Bin |
| building | UTM Library |
| collection | Institutional Repository |
| content_provider | Universiti Teknologi Malaysia |
| content_source | UTM Institutional Repository |
| continent | Asia |
| country | Malaysia |
| description | 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. |
| format | Article |
| id | my.utm.eprints-7641 |
| institution | Universiti Teknologi Malaysia |
| publishDate | 2007 |
| publisher | UKM |
| record_format | eprints |
| spelling | my.utm.eprints-76412017-10-23T04:22:43Z http://eprints.utm.my/7641/ Test of suitability of normal distribution based on Cramer-von Mises statistics Shabri, Ani Bin Jemain, Abdul Aziz QA Mathematics 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. UKM 2007-12 Article PeerReviewed 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 |
| spellingShingle | QA Mathematics Shabri, Ani Bin Jemain, Abdul Aziz Test of suitability of normal distribution based on Cramer-von Mises statistics |
| title | Test of suitability of normal distribution based on Cramer-von Mises statistics
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| title_full | Test of suitability of normal distribution based on Cramer-von Mises statistics
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| title_fullStr | Test of suitability of normal distribution based on Cramer-von Mises statistics
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| title_full_unstemmed | Test of suitability of normal distribution based on Cramer-von Mises statistics
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| title_short | Test of suitability of normal distribution based on Cramer-von Mises statistics
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| title_sort | test of suitability of normal distribution based on cramer-von mises statistics |
| topic | QA Mathematics |
| url | http://eprints.utm.my/7641/ |
| url_provider | http://eprints.utm.my/ |