Influence of using alternative means on type-i error rate in the comparison of independent groups

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dc.contributor.authorMirtagio?lu, H.
dc.contributor.authorYi?it, S.
dc.contributor.authorMollao?ullari, A.
dc.contributor.authorGenç, S.
dc.contributor.authorMendeş, M.
dc.date.accessioned2025-01-27T19:02:57Z
dc.date.available2025-01-27T19:02:57Z
dc.date.issued2014
dc.departmentÇanakkale Onsekiz Mart Üniversitesi
dc.description.abstractIn this study, the effect of using trimmed, winsorized, and modified means instead of arithmetic mean on type-I error rate was investigated when the assumptions of the one-way ANOVA were not satisfied. Therefore, random numbers were generated by simulation technique from the populations distributed by Normal (0,1), Beta (5,2) and ?2 (3) for 3 and 4 groups. The results of 30 000 simulation trials demonstrated that all the means displayed similar type-I error rates when the variances were homogenous regardless of the distribution shape, sample size and the number of groups. When homogeneity of variances assumption was not satisfied, the most reliable result was obtained by using trimmed mean in terms of keeping the type-I error rate at nominal alpha level and it was followed by modified and winsorized means. The most biased results were obtained when arithmetic mean was used.
dc.identifier.endpage349
dc.identifier.issn1018-7081
dc.identifier.issue1
dc.identifier.scopus2-s2.0-84894055114
dc.identifier.scopusqualityQ3
dc.identifier.startpage344
dc.identifier.urihttps://hdl.handle.net/20.500.12428/13734
dc.identifier.volume24
dc.indekslendigikaynakScopus
dc.language.isoen
dc.relation.ispartofJournal of Animal and Plant Sciences
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_Scopus_20250125
dc.subjectHomogeneity of variance; Non-normality; One-way ANOVA; Outlier; Type-I error
dc.titleInfluence of using alternative means on type-i error rate in the comparison of independent groups
dc.typeArticle

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