Shapiro–Wilk Test with Known Mean
An adaptation of the Shapiro–Wilk W test to the case of normality with a known mean is considered. The table of critical values for different sample sizes and several significance levels is given. The power of the test is investigated and compared with the Kolmogorov test and the two-step procedure...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Instituto Nacional de Estatística | Statistics Portugal
2016-02-01
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| Series: | Revstat Statistical Journal |
| Subjects: | |
| Online Access: | https://revstat.ine.pt/index.php/REVSTAT/article/view/180 |
| _version_ | 1798036688267640832 |
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| author | Zofia Hanusz Joanna Tarasinska Wojciech Zielinski |
| author_facet | Zofia Hanusz Joanna Tarasinska Wojciech Zielinski |
| author_sort | Zofia Hanusz |
| collection | DOAJ |
| description |
An adaptation of the Shapiro–Wilk W test to the case of normality with a known mean is considered. The table of critical values for different sample sizes and several significance levels is given. The power of the test is investigated and compared with the Kolmogorov test and the two-step procedure consisting of the Shapiro–Wilk W and t tests. Additionally, the normalizing coefficients for the test statistic are given.
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| first_indexed | 2024-04-11T21:16:23Z |
| format | Article |
| id | doaj.art-1d49e76ac56d4ebcad7a871561a4a1f4 |
| institution | Directory Open Access Journal |
| issn | 1645-6726 2183-0371 |
| language | English |
| last_indexed | 2024-04-11T21:16:23Z |
| publishDate | 2016-02-01 |
| publisher | Instituto Nacional de Estatística | Statistics Portugal |
| record_format | Article |
| series | Revstat Statistical Journal |
| spelling | doaj.art-1d49e76ac56d4ebcad7a871561a4a1f42022-12-22T04:02:47ZengInstituto Nacional de Estatística | Statistics PortugalRevstat Statistical Journal1645-67262183-03712016-02-0114110.57805/revstat.v14i1.180Shapiro–Wilk Test with Known MeanZofia Hanusz 0Joanna Tarasinska 1Wojciech Zielinski 2University of Life Sciences in LublinUniversity of Life Sciences in LublinWarsaw University of Life Sciences An adaptation of the Shapiro–Wilk W test to the case of normality with a known mean is considered. The table of critical values for different sample sizes and several significance levels is given. The power of the test is investigated and compared with the Kolmogorov test and the two-step procedure consisting of the Shapiro–Wilk W and t tests. Additionally, the normalizing coefficients for the test statistic are given. https://revstat.ine.pt/index.php/REVSTAT/article/view/180normalityShapiro–Wilk testKolmogorov testStudent t testpower |
| spellingShingle | Zofia Hanusz Joanna Tarasinska Wojciech Zielinski Shapiro–Wilk Test with Known Mean Revstat Statistical Journal normality Shapiro–Wilk test Kolmogorov test Student t test power |
| title | Shapiro–Wilk Test with Known Mean |
| title_full | Shapiro–Wilk Test with Known Mean |
| title_fullStr | Shapiro–Wilk Test with Known Mean |
| title_full_unstemmed | Shapiro–Wilk Test with Known Mean |
| title_short | Shapiro–Wilk Test with Known Mean |
| title_sort | shapiro wilk test with known mean |
| topic | normality Shapiro–Wilk test Kolmogorov test Student t test power |
| url | https://revstat.ine.pt/index.php/REVSTAT/article/view/180 |
| work_keys_str_mv | AT zofiahanusz shapirowilktestwithknownmean AT joannatarasinska shapirowilktestwithknownmean AT wojciechzielinski shapirowilktestwithknownmean |