Document Detail


Robust tests of equivalence for k independent groups.
MedLine Citation:
PMID:  23043500     Owner:  NLM     Status:  Publisher    
Abstract/OtherAbstract:
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.
Authors:
Andy Koh; Robert Cribbie
Publication Detail:
Type:  JOURNAL ARTICLE     Date:  2012-10-9
Journal Detail:
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:
Created Date:  2012-10-9     Completed Date:  -     Revised Date:  -    
Medline Journal Info:
Nlm Unique ID:  0004047     Medline TA:  Br J Math Stat Psychol     Country:  -    
Other Details:
Languages:  ENG     Pagination:  -     Citation Subset:  -    
Copyright Information:
© 2012 The British Psychological Society.
Affiliation:
Quantitative Methods Program, Department of Psychology, York University, Toronto, Canada.
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