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Institute of Mathematical Statistics Lecture Notes - Monograph Series

On two results in multiple testing

Sanat K. Sarkar, Pranab K. Sen, Helmut Finner

Source: Y. Benjamini, F. Bretz and S. Sarkar, eds., Recent Developments in Multiple Comparison Procedures (Beachwood, Ohio, USA: Institute of Mathematical Statistics, 2004), 89-99.

Abstract

Two known results in multiple testing, one relating to the directional error control of augmented step-down procedure proved by Shaffer (1980) and the other on the monotonicity of the critical values of step-up procedure proved by Dalal and Mallows (1992), are revisited and given alternative proofs in this article.

Primary Subjects: 62F03
Keywords: type III errors; augmented step-down procedure; TP$_2$ distributions; step-up-step-down procedure; monotonicity of critical values

Full-text: Open access

Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.lnms/1196285628
Mathematical Reviews (MathSciNet): MR2118594

Digital Object Identifier: doi:10.1214/lnms/1196285628

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2009 © Institute of Mathematical Statistics

Institute of Mathematical Statistics Lecture Notes - Monograph Series

Institute of Mathematical Statistics Lecture Notes - Monograph Series