Equivalence of Population Variances: Synchronizing the Objective and Analysis

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dc.contributor.authorMara, Constance A.
dc.contributor.authorCribbie, Robert
dc.date.accessioned2017-05-29T18:37:26Z
dc.date.available2017-05-29T18:37:26Z
dc.date.issued2017
dc.description.abstractResearchers are often interested in testing for the equivalence of population variances. Traditional difference-based procedures are appropriate to answer questions about differences in some statistic (e.g., variances, etc.). However, if a researcher is interested in evaluating the equivalence of population variances, it is more appropriate to use a procedure specifically designed to determine equivalence. A simulation study was used to compare newly developed equivalence-based tests to difference-based variance homogeneity tests under common data conditions. Results demonstrated that traditional difference-based tests assess equality of variances from the wrong perspective, and that the proposed Levene-Wellek-Welch test for equivalence of group variances using the absolute deviations from the median was the best performing test for detecting equivalence. An R function is provided in order to facilitate use of this test for equivalence of population variances.en_US
dc.description.sponsorshipSSHRC
dc.identifier.citationMara, C. & Cribbie, R. A. (2018). Equivalence of population variances: Synchronizing the objective and analysis. Journal of Experimental Education, 86(3), 442-457. doi:10.1080/00220973.2017.1301356
dc.identifier.urihttp://hdl.handle.net/10315/33151
dc.language.isoenen_US
dc.publisherJournal of Experimental Educationen_US
dc.subjecthomogeneity of variance, equivalence tests, leveneen_US
dc.titleEquivalence of Population Variances: Synchronizing the Objective and Analysis
dc.typeArticleen_US

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