DIFFERENCE OF POWER TEST AND TYPE II ERROR (β) ON MARDIA MVN TEST, HENZE ZIKLER'S MVN TEST, AND ROYSTON'S MVN TEST USING MULTIVARIATE DATA ANALYSIS
The Mardia MVN test, Henze Zikler's MVN test, and Royston's MVN test are the most widely used tests to analyze multivariate normal (MVN) data, but there have not been many studies explaining the advantages and disadvantages of these tests. The research objective was to analyze the differen...
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Format: | Article |
Language: | English |
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Universitas Airlangga
2021-10-01
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Series: | Jurnal Biometrika dan Kependudukan |
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Online Access: | https://e-journal.unair.ac.id/JBK/article/view/22426 |
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author | Wahyul Anis Kuntoro Kuntoro Soenarnatalina Melaniani |
author_facet | Wahyul Anis Kuntoro Kuntoro Soenarnatalina Melaniani |
author_sort | Wahyul Anis |
collection | DOAJ |
description | The Mardia MVN test, Henze Zikler's MVN test, and Royston's MVN test are the most widely used tests to analyze multivariate normal (MVN) data, but there have not been many studies explaining the advantages and disadvantages of these tests. The research objective was to analyze the difference in test strength and type II (β) error in the Mardia MVN test, Henze Zikler's MVN test, and Royston's MVN test. The research data were analyzed using three MVN tests, namely the Mardia MVN test, Henze Zikler's MVN test, and Royston's MVN test. The results of the analysis in the form of test strength and type II error (β) would be compared at alpha (α) 1%, 5%, 10%, 15%, 20%, and 25%. The comparison results explained that the Mardia test had the greatest test strength and the smallest type II (β) error. The study concluded that the Mardia MVN test was a multivariate normal test better than Henze Zikler's MVN test and Royston's MVN test. |
first_indexed | 2024-12-14T13:10:29Z |
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institution | Directory Open Access Journal |
issn | 2302-707X 2540-8828 |
language | English |
last_indexed | 2024-12-14T13:10:29Z |
publishDate | 2021-10-01 |
publisher | Universitas Airlangga |
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series | Jurnal Biometrika dan Kependudukan |
spelling | doaj.art-1be8457d0f3b43fabcf1215587e24e422022-12-21T23:00:12ZengUniversitas AirlanggaJurnal Biometrika dan Kependudukan2302-707X2540-88282021-10-0110215316110.20473/jbk.v10i2.2021.153-16113994DIFFERENCE OF POWER TEST AND TYPE II ERROR (β) ON MARDIA MVN TEST, HENZE ZIKLER'S MVN TEST, AND ROYSTON'S MVN TEST USING MULTIVARIATE DATA ANALYSISWahyul Anis0Kuntoro Kuntoro1Soenarnatalina Melaniani2Faculty of Medicine, Universitas Airlangga, 60132 Surabaya, East Java, IndonesiaFaculty of Public Health, Universitas Airlangga, 60115 Surabaya, East Java, IndonesiaFaculty of Public Health, Universitas Airlangga, 60115 Surabaya, East Java, IndonesiaThe Mardia MVN test, Henze Zikler's MVN test, and Royston's MVN test are the most widely used tests to analyze multivariate normal (MVN) data, but there have not been many studies explaining the advantages and disadvantages of these tests. The research objective was to analyze the difference in test strength and type II (β) error in the Mardia MVN test, Henze Zikler's MVN test, and Royston's MVN test. The research data were analyzed using three MVN tests, namely the Mardia MVN test, Henze Zikler's MVN test, and Royston's MVN test. The results of the analysis in the form of test strength and type II error (β) would be compared at alpha (α) 1%, 5%, 10%, 15%, 20%, and 25%. The comparison results explained that the Mardia test had the greatest test strength and the smallest type II (β) error. The study concluded that the Mardia MVN test was a multivariate normal test better than Henze Zikler's MVN test and Royston's MVN test.https://e-journal.unair.ac.id/JBK/article/view/22426multivariate normal test, mardia mvn test, henze zikler's mvn test, royston's mvn test |
spellingShingle | Wahyul Anis Kuntoro Kuntoro Soenarnatalina Melaniani DIFFERENCE OF POWER TEST AND TYPE II ERROR (β) ON MARDIA MVN TEST, HENZE ZIKLER'S MVN TEST, AND ROYSTON'S MVN TEST USING MULTIVARIATE DATA ANALYSIS Jurnal Biometrika dan Kependudukan multivariate normal test, mardia mvn test, henze zikler's mvn test, royston's mvn test |
title | DIFFERENCE OF POWER TEST AND TYPE II ERROR (β) ON MARDIA MVN TEST, HENZE ZIKLER'S MVN TEST, AND ROYSTON'S MVN TEST USING MULTIVARIATE DATA ANALYSIS |
title_full | DIFFERENCE OF POWER TEST AND TYPE II ERROR (β) ON MARDIA MVN TEST, HENZE ZIKLER'S MVN TEST, AND ROYSTON'S MVN TEST USING MULTIVARIATE DATA ANALYSIS |
title_fullStr | DIFFERENCE OF POWER TEST AND TYPE II ERROR (β) ON MARDIA MVN TEST, HENZE ZIKLER'S MVN TEST, AND ROYSTON'S MVN TEST USING MULTIVARIATE DATA ANALYSIS |
title_full_unstemmed | DIFFERENCE OF POWER TEST AND TYPE II ERROR (β) ON MARDIA MVN TEST, HENZE ZIKLER'S MVN TEST, AND ROYSTON'S MVN TEST USING MULTIVARIATE DATA ANALYSIS |
title_short | DIFFERENCE OF POWER TEST AND TYPE II ERROR (β) ON MARDIA MVN TEST, HENZE ZIKLER'S MVN TEST, AND ROYSTON'S MVN TEST USING MULTIVARIATE DATA ANALYSIS |
title_sort | difference of power test and type ii error β on mardia mvn test henze zikler s mvn test and royston s mvn test using multivariate data analysis |
topic | multivariate normal test, mardia mvn test, henze zikler's mvn test, royston's mvn test |
url | https://e-journal.unair.ac.id/JBK/article/view/22426 |
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