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VOL. 6 | 2010 Multiple testing of pairwise comparisons
Arthur Cohen, Harold Sackrowitz, Chuanwen Chen

Editor(s) James O. Berger, T. Tony Cai, Iain M. Johnstone


Multiple testing for pairwise comparisons in a one way fixed and balanced analysis of variance model is studied. Normality, independence and homogeneity of variance is assumed. Two sided alternatives are considered. The usual stepwise procedures are shown to lack an intuitive and important interval property for acceptance sections of individual tests. This renders them inadmissible in terms of both types of errors. Alternative procedures that do have the interval property are suggested. The new procedures are compared to the standard procedures in terms of power and in terms of practicality. One of the new procedures follows logical restrictions which may be a desirable property in some instances.


Published: 1 January 2010
First available in Project Euclid: 26 October 2010

MathSciNet: MR2798516

Digital Object Identifier: 10.1214/10-IMSCOLL610

Primary: 62C15, 62H15

Rights: Copyright © 2010, Institute of Mathematical Statistics


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