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May 2012 The Interval Property in Multiple Testing of Pairwise Differences
Arthur Cohen, Harold Sackrowitz
Statist. Sci. 27(2): 294-307 (May 2012). DOI: 10.1214/11-STS372


The usual step-down and step-up multiple testing procedures most often lack an important intuitive, practical, and theoretical property called the interval property. In short, the interval property is simply that for an individual hypothesis, among the several to be tested, the acceptance sections of relevant statistics are intervals. Lack of the interval property is a serious shortcoming. This shortcoming is demonstrated for testing various pairwise comparisons in multinomial models, multivariate normal models and in nonparametric models.

Residual based stepwise multiple testing procedures that do have the interval property are offered in all these cases.


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Arthur Cohen. Harold Sackrowitz. "The Interval Property in Multiple Testing of Pairwise Differences." Statist. Sci. 27 (2) 294 - 307, May 2012.


Published: May 2012
First available in Project Euclid: 19 June 2012

MathSciNet: MR2963997
Digital Object Identifier: 10.1214/11-STS372

Rights: Copyright © 2012 Institute of Mathematical Statistics


Vol.27 • No. 2 • May 2012
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