Comparison of ANOVA F and WELCH Tests with Their Respective Permutation Versions in Terms of Type I Error Rates and Test Power

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dc.authoridAKKARTAL, ERKUT/0000-0002-7090-4449
dc.contributor.authorMendes, Mehmet
dc.contributor.authorAkkartal, Erkut
dc.date.accessioned2025-01-27T21:21:38Z
dc.date.available2025-01-27T21:21:38Z
dc.date.issued2010
dc.departmentÇanakkale Onsekiz Mart Üniversitesi
dc.description.abstractWe compared Analysis of Variance (F) and the Welch test (W) with their respective permutation versions (PF and PW) in terms of Type I error rate (alpha) and test power (1-beta) by Monte Carlo simulation technique. Simulation results showed that when the variances were homogeneous, the permutation versions of F and W tests displayed more reliable results in terms of protecting Type I error rate at nominal level, regardless of distribution shape and sample size. Violation of homogeneity of variances adversely affected all tests. Regardless of sample size and effect size, the PF test was slightly more powerful compared to the F test as long as the variances were homogeneous and the distributions were skewed (chi(2)(3) and Exp [0.75]). The PF and F tests had similar power levels when the distributions were symmetrical (Beta (5.5)). The W test was more powerful with homogenous variances, while the PW test was slightly superior with heterogonous variances except for unbalanced sample sizes (i.e., 5:10:15).
dc.identifier.endpage716
dc.identifier.issn1300-6045
dc.identifier.issue5
dc.identifier.scopus2-s2.0-78149441013
dc.identifier.scopusqualityQ3
dc.identifier.startpage711
dc.identifier.trdizinid104597
dc.identifier.urihttps://search.trdizin.gov.tr/tr/yayin/detay/104597
dc.identifier.urihttps://hdl.handle.net/20.500.12428/29016
dc.identifier.volume16
dc.identifier.wosWOS:000282824100001
dc.identifier.wosqualityQ4
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.indekslendigikaynakTR-Dizin
dc.language.isoen
dc.publisherKafkas Univ, Veteriner Fakultesi Dergisi
dc.relation.ispartofKafkas Universitesi Veteriner Fakultesi Dergisi
dc.relation.publicationcategoryinfo:eu-repo/semantics/openAccess
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WoS_20250125
dc.subjectAnalysis of variance
dc.subjectPermutation tests
dc.subjectType I error
dc.subjectTest power
dc.subjectWelch test
dc.titleComparison of ANOVA F and WELCH Tests with Their Respective Permutation Versions in Terms of Type I Error Rates and Test Power
dc.title.alternativeAnova F ve welch testi ile bunlarin permutasyon versiyonlarinin 1. tip hata ve testin gücü bakimindan karşilaştirilması
dc.typeArticle

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