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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 · Vol. 10 No. 2 (2021) · hlm. 153–161

DOI
10.20473/jbk.v10i2.2021.153-161
ISSN
2540-8828, 2302-707X
Terbit
2021-10-31
Penerbit
Universitas Airlangga
Bahasa
eng

Abstrak

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.

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  • Universitas Airlangga
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Rekan penulisOrganisasiArtikel bersama
Hari Basuki NotobrotoUniversitas Airlangga3
Trias MahmudionoUniversitas Airlangga3
Hosizah HosizahUniversitas Esa Unggul2
Mochammad Bagus QomaruddinUniversitas Airlangga2
Rachmah IndawatiUniversitas Airlangga2
Mahmudah MahmudahUniversitas Airlangga2
Nursalam NursalamUniversitas Airlangga2
Euvanggelia Dwilda FerdinandusUniversitas Airlangga1
Farida FitrianaUniversitas Airlangga1
Basuki HariUniversitas Airlangga1
Tamara Nur BudiartiUniversitas Airlangga1
Arina Dery PuspitasariUniversitas Airlangga1
Alfian Nur RosyidUniversitas Airlangga1
Diah IndrianiUniversitas Airlangga1
Fatimatuz Zahra Oviary SatryoUniversitas Airlangga1
Lily AinaUniversitas Airlangga1
Nanda ArdiantoUniversitas Airlangga1
Melinda Putri Amelia RachmanUniversitas Airlangga1
Fauzul MeilianiUniversitas Airlangga1
Isa Ma’rufiUniversitas Jember1
Soejdajadi KemanUniversitas Airlangga1
Hari BasukiUniversitas Airlangga1
Apik Indarty MoedjionoHasanuddin University1
Chatarina Umbul WahyuniUniversitas Airlangga1
Fery Agusman Motuho MendrofaUniversitas Karya Husada Semarang1
Hasan MachfoedUniversitas Airlangga1
Rachmad HargonoUniversitas Airlangga1
Bagus WidjonarkoDiponegoro University1
Nugroho SusantoUniversitas Respati Yogyakarta1
Sunarsih SunarsihUniversitas Mandala Waluya1
Chatrin U.WAfiliasi tidak diketahui1
Farisa Al Amin AvinUniversitas Airlangga1
Muhammad Ardian Cahya LaksanaUniversitas Airlangga1
Dyah Ayu FatmaningrumUniversitas Airlangga1
Argus BaskoroUniversitas Airlangga1
Afrian Eskartya HarjonoUniversitas Airlangga1
Asti Dewi Rahayu FitrianingsihUniversitas Airlangga1

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Sumber metadata: OAI-PMH (metadata jurnal) https://e-journal.unair.ac.id/JBK/oai, pertama di-harvest 9 Nov 2026, terakhir terlihat 9 Nov 2026.
Metadata asli (oai_dc) 
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	<dc:title xml:lang="en-US">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</dc:title>
	<dc:creator>Anis, Wahyul</dc:creator>
	<dc:creator>Kuntoro, Kuntoro</dc:creator>
	<dc:creator>Melaniani, Soenarnatalina</dc:creator>
	<dc:subject xml:lang="en-US">multivariate normal test</dc:subject>
	<dc:subject xml:lang="en-US">Mardia MVN test</dc:subject>
	<dc:subject xml:lang="en-US">Henze Zikler's MVN test</dc:subject>
	<dc:subject xml:lang="en-US">Royston's MVN test</dc:subject>
	<dc:description xml:lang="en-US">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.</dc:description>
	<dc:publisher xml:lang="en-US">Universitas Airlangga</dc:publisher>
	<dc:date>2021-10-31</dc:date>
	<dc:type>info:eu-repo/semantics/article</dc:type>
	<dc:type>info:eu-repo/semantics/publishedVersion</dc:type>
	<dc:format>application/pdf</dc:format>
	<dc:identifier>https://e-journal.unair.ac.id/JBK/article/view/22426</dc:identifier>
	<dc:identifier>10.20473/jbk.v10i2.2021.153-161</dc:identifier>
	<dc:source xml:lang="en-US">Jurnal Biometrika dan Kependudukan; Vol. 10 No. 2 (2021): JURNAL BIOMETRIKA DAN KEPENDUDUKAN; 153-161</dc:source>
	<dc:source>2540-8828</dc:source>
	<dc:source>2302-707X</dc:source>
	<dc:language>eng</dc:language>
	<dc:relation>https://e-journal.unair.ac.id/JBK/article/view/22426/pdf</dc:relation>
	<dc:rights xml:lang="en-US">Copyright (c) 2021 Jurnal Biometrika dan Kependudukan</dc:rights>
</oai_dc:dc>