Open Access
VOL. 47 | 2004 On two results in multiple testing
Chapter Author(s) Sanat K. Sarkar, Pranab K. Sen, Helmut Finner
Editor(s) Y. Benjamini, F. Bretz, S. Sarkar
IMS Lecture Notes Monogr. Ser., 2004: 89-99 (2004) DOI: 10.1214/lnms/1196285628

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.

Information

Published: 1 January 2004
First available in Project Euclid: 28 November 2007

zbMATH: 1268.62079
MathSciNet: MR2118594

Digital Object Identifier: 10.1214/lnms/1196285628

Subjects:
Primary: 62F03

Keywords: augmented step-down procedure , monotonicity of critical values , step-up-step-down procedure , TP$_2$ distributions , type III errors

Rights: Copyright © 2004, Institute of Mathematical Statistics

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