A More Powerful Post Hoc Multiple Comparison Procedure in Analysis of Variance

Alan J. Klockars and Gregory R. Hancock

Journal of Educational and Behavioral Statistics, 1998, vol. 23, issue 3, 279-289

Abstract: Scheffé’s test ( Scheffé, 1953 ), which is commonly used to conduct post hoc contrasts among k group means, is unnecessarily conservative because it guards against an infinite number of potential post hoc contrasts when only a small set would ever be of interest to a researcher. This paper identifies a set of post hoc contrasts based on subsets of the treatment groups and simulates critical values from the appropriate multivariate F-distribution to be used in place of those associated with Scheffé’s test. The proposed method and its critical values provide a uniformly more powerful post hoc procedure.

Keywords: finite intersection tests; multiple comparisons; post hoc tests; Scheffé (search for similar items in EconPapers)
Date: 1998
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Persistent link: https://EconPapers.repec.org/RePEc:sae:jedbes:v:23:y:1998:i:3:p:279-289

DOI: 10.3102/10769986023003279

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