Rempala Grzegorz A, Yang Yuhong
Department of Biostatistics and Cancer Research Center, Georgia Health Sciences University,
School of Statistics, University of Minnesota,
Stat Interface. 2013;6(1). doi: 10.4310/SII.2013.v6.n1.a8.
We consider two popular, permutation-based, step-down procedures of -values adjustment in multiple testing problems known as min and max and 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 min and max without SPP.
我们考虑了多重检验问题中两种流行的、基于排列的逐步下调p值调整程序,分别称为minP和maxP,旨在在所谓的子集枢轴性属性(SPP)下严格控制家族性错误率。我们研究了确定这些方法有效性所涉及的关键但微妙的问题,并引入了一种新的、稍窄的严格控制概念,该概念可确保在没有SPP的情况下,minP和maxP中的家族性错误率有适当的界限。