caa a22 4500 378925954 CHVBK 20180305123617.0 cr unu---uuuuu 161128e20040614xx s 000 0 eng 10.2202/1544-6115.1041 doi (NATIONALLICENCE)gruyter-10.2202/1544-6115.1041 Multiple Testing. Part II. Step-Down Procedures for Control of the Family-Wise Error Rate [Elektronische Daten] [Mark J. van der Laan, Sandrine Dudoit, Katherine S. Pollard] The present article proposes two step-down multiple testing procedures for asymptotic control of the family-wise error rate (FWER): the first procedure is based on maxima of test statistics (step-down maxT), while the second relies on minima of unadjusted p-values (step-down minP). A key feature of our approach is the characterization and construction of a test statistics null distribution (rather than data generating null distribution) for deriving cut-offs for these test statistics (i.e., rejection regions) and the resulting adjusted p-values. For general null hypotheses, corresponding to submodels for the data generating distribution, we identify an asymptotic domination condition for a null distribution under which the step-down maxT and minP procedures asymptotically control the Type I error rate, for arbitrary data generating distributions, without the need for conditions such as subset pivotality. Inspired by this general characterization, we then propose as an explicit null distribution the asymptotic distribution of the vector of null value shifted and scaled test statistics. Step-down procedures based on consistent estimators of the null distribution are shown to also provide asymptotic control of the Type I error rate. A general bootstrap algorithm is supplied to conveniently obtain consistent estimators of the null distribution. ©2011 Walter de Gruyter GmbH & Co. KG, Berlin/Boston Statistical Theory and Methods nationallicence Adjusted p-value nationallicence asymptotic control nationallicence bootstrap nationallicence consistency nationallicence cut-off nationallicence family-wise error rate nationallicence maxima of test statistics nationallicence minima of p-values nationallicence multiple testing nationallicence null distribution nationallicence null hypothesis nationallicence quantile nationallicence step-down nationallicence test statistic nationallicence Type I error rate nationallicence van der Laan Mark J. Division of Biostatistics, School of Public Health, University of California, Berkeley aut Dudoit Sandrine Division of Biostatistics, School of Public Health, University of California, Berkeley aut Pollard Katherine S. University of California, Santa Cruz aut Statistical Applications in Genetics and Molecular Biology De Gruyter 3/1(2004-06-14), 1-33 3:1<1 2004 3 sagmb https://doi.org/10.2202/1544-6115.1041 text/html Onlinezugriff via DOI 1 research article jats NATIONALLICENCE 856 40 https://doi.org/10.2202/1544-6115.1041 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- van der Laan Mark J. Division of Biostatistics, School of Public Health, University of California, Berkeley aut NATIONALLICENCE 700 1- Dudoit Sandrine Division of Biostatistics, School of Public Health, University of California, Berkeley aut NATIONALLICENCE 700 1- Pollard Katherine S. University of California, Santa Cruz aut NATIONALLICENCE 773 0- Statistical Applications in Genetics and Molecular Biology De Gruyter 3/1(2004-06-14), 1-33 3:1<1 2004 3 sagmb CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-gruyter