Institute of Mathematical Statistics Lecture Notes - Monograph Series

On two results in multiple testing

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

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.

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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

2012 © Institute of Mathematical Statistics

Institute of Mathematical Statistics Lecture Notes - Monograph Series

Institute of Mathematical Statistics Lecture Notes - Monograph Series