The variance homogeneity assumption and the traditional ANOVA: Exploring a better gatekeeper.

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dc.contributor.authorKim, Jamie
dc.contributor.authorCribbie, Robert
dc.date.accessioned2017-05-29T18:28:29Z
dc.date.available2017-05-29T18:28:29Z
dc.date.issued2017
dc.description.abstractValid use of the traditional independent samples ANOVA procedure requires that the population variances are equal. Previous research has investigated whether variance homogeneity tests, such as Levene’s test, are satisfactory as gatekeepers for identifying when to use or not to use the ANOVA procedure. This research focuses on a novel homogeneity of variance test that incorporates an equivalence testing approach. Instead of testing the null hypothesis that the variances are equal against an alternate hypothesis that the variances are not equal, the equivalence-based test evaluates the null hypothesis that the difference in the variances falls outside or on the border of a predetermined interval against an alternate hypothesis that the difference in the variances falls within the predetermined interval. Thus, with the equivalence based procedure, the alternate hypothesis is aligned with the research hypothesis (variance equality). A simulation study demonstrated that the equivalence-based test of population variance homogeneity is a better gatekeeper for the ANOVA than traditional homogeneity of variance tests.en_US
dc.description.sponsorshipSSHRC
dc.identifier.citationKim, Y. J. & Cribbie, R. A. (in press). The variance homogeneity assumption and the traditional ANOVA: Exploring a better gatekeeper. British Journal of Mathematical and Statistical Psychology.
dc.identifier.urihttp://hdl.handle.net/10315/33150
dc.language.isoenen_US
dc.publisherBritish Journal of Mathematical and Statistical Psychologyen_US
dc.subjectstatistics, anova, welch, multiple comparisonsen_US
dc.titleThe variance homogeneity assumption and the traditional ANOVA: Exploring a better gatekeeper.
dc.typeArticleen_US

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