title: On Permutation Procedures for Strong Control in Multiple Testing with Gene Expression Data.
abstract: We consider two popular, permutation-based, step-down procedures ofp-values adjustment in multiple testing problems known as minPand maxTand intended for strong control of the family-wise error rate, under the so-called subset pivotality property (SPP). We examine key but subtle issues involved in ascertaining validity of these methods, and also introduce a new, slightly narrower notion of strong control which ensures proper bounds on the family-wise error rate in minPand maxTwithout SPP.
authors.affiliation: Department of Biostatistics and Cancer Research Center, Georgia Health Sciences University, grempala@georgiahealth.edu.
authors.forename: Grzegorz A
authors.initials: GA
authors.lastname: Rempala
authors.affiliation: School of Statistics, University of Minnesota, yyang@stat.umn.edu.
authors.forename: Yuhong
authors.initials: Y
authors.lastname: Yang
keywords: multiple testing; permutation test; step down p-value adjustment methods; strong control of family-wise error rate; subset pivotality property