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Tests of Equivalence for One-Way Independent Groups Designs
Authors:Robert A Cribbie  Chantal A Arpin-Cribbie  Jamie A Gruman
Institution:1. York University;2. Laurentian University;3. University of Guelph
Abstract:Researchers in education are often interested in determining whether independent groups are equivalent on a specific outcome. Equivalence tests for 2 independent populations have been widely discussed, whereas testing for equivalence with more than 2 independent groups has received little attention. The authors discuss alternatives for testing the equivalence of more than 2 independent populations, and they use a Monte Carlo study to demonstrate and compare the performance of these alternatives under several conditions. The results indicate that a 1-way test (e.g., Wellek's F test) is recommended for assessing the equivalence of more than 2 independent groups because approaches based on conducting pairwise tests of equivalence are overly conservative.
Keywords:equivalence testing  independent groups designs  Monte Carlo research
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