| Robust tests of equivalence for k independent groups. | |
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MedLine Citation:
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PMID: 23043500 Owner: NLM Status: Publisher |
Abstract/OtherAbstract:
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A common question of interest to researchers in psychology is the equivalence of two or more groups. Failure to reject the null hypothesis of traditional hypothesis tests such as the ANOVA F-test (i.e., H(0) : μ(1) = … = μ(k) ) does not imply the equivalence of the population means. Researchers interested in determining the equivalence of k independent groups should apply a one-way test of equivalence (e.g., Wellek, 2003). The goals of this study were to investigate the robustness of the one-way Wellek test of equivalence to violations of homogeneity of variance assumption, and compare the Type I error rates and power of the Wellek test with a heteroscedastic version which was based on the logic of the one-way Welch (1951) F-test. The results indicate that the proposed Wellek-Welch test was insensitive to violations of the homogeneity of variance assumption, whereas the original Wellek test was not appropriate when the population variances were not equal. |
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Authors:
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Andy Koh; Robert Cribbie |
Publication Detail:
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Type: JOURNAL ARTICLE Date: 2012-10-9 |
Journal Detail:
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Title: The British journal of mathematical and statistical psychology Volume: - ISSN: 2044-8317 ISO Abbreviation: Br J Math Stat Psychol Publication Date: 2012 Oct |
Date Detail:
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Created Date: 2012-10-9 Completed Date: - Revised Date: - |
Medline Journal Info:
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Nlm Unique ID: 0004047 Medline TA: Br J Math Stat Psychol Country: - |
Other Details:
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Languages: ENG Pagination: - Citation Subset: - |
Copyright Information:
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© 2012 The British Psychological Society. |
Affiliation:
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Quantitative Methods Program, Department of Psychology, York University, Toronto, Canada. |
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From MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine
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