caa a22 4500 378925806 CHVBK 20180305123617.0 cr unu---uuuuu 161128e20040615xx s 000 0 eng 10.2202/1544-6115.1042 doi (NATIONALLICENCE)gruyter-10.2202/1544-6115.1042 Augmentation Procedures for Control of the Generalized Family-Wise Error Rate and Tail Probabilities for the Proportion of False Positives [Elektronische Daten] [Mark J. van der Laan, Sandrine Dudoit, Katherine S. Pollard] This article shows that any single-step or stepwise multiple testing procedure (asymptotically) controlling the family-wise error rate (FWER) can be augmented into procedures that (asymptotically) control tail probabilities for the number of false positives and the proportion of false positives among the rejected hypotheses. Specifically, given any procedure that (asymptotically) controls the FWER at level alpha, we propose simple augmentation procedures that provide (asymptotic) level-alpha control of: (i) the generalized family-wise error rate, i.e., the tail probability, gFWER(k), that the number of Type I errors exceeds a user-supplied integer k, and (ii) the tail probability, TPPFP(q), that the proportion of Type I errors among the rejected hypotheses exceeds a user-supplied value 0 ©2011 Walter de Gruyter GmbH & Co. KG, Berlin/Boston General Biostatistics nationallicence Statistical Theory and Methods nationallicence Adjusted p-value nationallicence asymptotic control nationallicence augmentation nationallicence false discovery rate nationallicence generalized family-wise error rate nationallicence multiple testing nationallicence null distribution nationallicence proportion of false positives nationallicence single-step nationallicence step-down nationallicence tail probability 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(2004-06-15), 1-25 3:1<1 2004 3 sagmb https://doi.org/10.2202/1544-6115.1042 text/html Onlinezugriff via DOI 1 research article jats NATIONALLICENCE 856 40 https://doi.org/10.2202/1544-6115.1042 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(2004-06-15), 1-25 3:1<1 2004 3 sagmb CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-gruyter