Jump to ContentJump to Main Navigation
Show Summary Details
More options …

Statistical Applications in Genetics and Molecular Biology

Editor-in-Chief: Sanguinetti, Guido

IMPACT FACTOR 2018: 0.536
5-year IMPACT FACTOR: 0.764

CiteScore 2018: 0.49

SCImago Journal Rank (SJR) 2018: 0.316
Source Normalized Impact per Paper (SNIP) 2018: 0.342

Mathematical Citation Quotient (MCQ) 2018: 0.02

See all formats and pricing
More options …
Volume 3, Issue 1


Volume 10 (2011)

Volume 9 (2010)

Volume 6 (2007)

Volume 5 (2006)

Volume 4 (2005)

Volume 2 (2003)

Volume 1 (2002)

Augmentation Procedures for Control of the Generalized Family-Wise Error Rate and Tail Probabilities for the Proportion of False Positives

Mark J. van der Laan / Sandrine Dudoit / Katherine S. Pollard
Published Online: 2004-06-15 | DOI: https://doi.org/10.2202/1544-6115.1042

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

Keywords: Adjusted p-value; asymptotic control; augmentation; false discovery rate; generalized family-wise error rate; multiple testing; null distribution; proportion of false positives; single-step; step-down; tail probability; Type I error rate.

About the article

Published Online: 2004-06-15

Citation Information: Statistical Applications in Genetics and Molecular Biology, Volume 3, Issue 1, Pages 1–25, ISSN (Online) 1544-6115, DOI: https://doi.org/10.2202/1544-6115.1042.

Export Citation

©2011 Walter de Gruyter GmbH & Co. KG, Berlin/Boston.Get Permission

Citing Articles

Here you can find all Crossref-listed publications in which this article is cited. If you would like to receive automatic email messages as soon as this article is cited in other publications, simply activate the “Citation Alert” on the top of this page.

Alessandra Valentini, Michela Biancolella, Francesca Amati, Paolo Gravina, Roberto Miano, Giovanni Chillemi, Alessio Farcomeni, Susana Bueno, Giuseppe Vespasiani, Alessandro Desideri, Giorgio Federici, Giuseppe Novelli, and Sergio Bernardini
Drug Metabolism and Disposition, 2007, Volume 35, Number 6, Page 968
Xianming Tan, Guanghan F. Liu, Donglin Zeng, William Wang, Guoqing Diao, Joseph F. Heyse, and Joseph G. Ibrahim
Statistics in Medicine, 2019, Volume 38, Number 22, Page 4378
Li Wang and Xingzhong Xu
Statistics & Probability Letters, 2012, Volume 82, Number 4, Page 775
DoHwan Park, Junyong Park, Xiaosong Zhong, and Michel Sadelain
Computational Statistics & Data Analysis, 2011, Volume 55, Number 7, Page 2421
Francesca Greselin, Salvatore Ingrassia, and Antonio Punzo
Statistical Methods & Applications, 2011, Volume 20, Number 2, Page 141
Alexander Y. Gordon
Statistics & Probability Letters, 2009, Volume 79, Number 19, Page 1996
Joseph P. Romano, Azeem Shaikh, and Michael Wolf
SSRN Electronic Journal, 2009
Joseph P. Romano and Michael Wolf
SSRN Electronic Journal, 2008
Joseph P. Romano, Azeem Shaikh, and Michael Wolf
SSRN Electronic Journal, 2008
Joseph P. Romano, Azeem M. Shaikh, and Michael Wolf
TEST, 2008, Volume 17, Number 3, Page 417
Larry Wasserman
Journal of the American Statistical Association, 2012, Volume 107, Number 499, Page 1035
Lei Du, Xiaolei Qian, Chenyang Dai, Lihua Wang, Ding Huang, Shuying Wang, and Xiaowei Shen
Tumori Journal, 2015, Volume 101, Number 4, Page 384
Alessio Farcomeni
Statistical Methods in Medical Research, 2008, Volume 17, Number 4, Page 347
Tapan S. Mehta, Stanislav O. Zakharkin, Gary L. Gadbury, and David B. Allison
Physiological Genomics, 2006, Volume 28, Number 1, Page 24
International Journal of Oncology, 2012, Volume 41, Number 6, Page 2038
Scandinavian Journal of Statistics, 2009, Volume 36, Number 3, Page 501
Elisabetta Ferretti, Enrico De Smaele, Agnese Po, Lucia Di Marcotullio, Emanuele Tosi, Maria Salome B. Espinola, Concezio Di Rocco, Riccardo Riccardi, Felice Giangaspero, Alessio Farcomeni, Italo Nofroni, Pietro Laneve, Ubaldo Gioia, Elisa Caffarelli, Irene Bozzoni, Isabella Screpanti, and Alberto Gulino
International Journal of Cancer, 2009, Volume 124, Number 3, Page 568
Yoav Benjamini and Marina Bogomolov
Journal of the Royal Statistical Society: Series B (Statistical Methodology), 2014, Volume 76, Number 1, Page 297
Frank Emmert-Streib, Galina V. Glazko, and Fran Lewitter
PLoS Computational Biology, 2011, Volume 7, Number 5, Page e1002053
Djalel Eddine Meskaldji, Elda Fischi-Gomez, Alessandra Griffa, Patric Hagmann, Stephan Morgenthaler, and Jean-Philippe Thiran
NeuroImage, 2013, Volume 80, Page 416
Jesse Hemerik and Jelle J. Goeman
Journal of the Royal Statistical Society: Series B (Statistical Methodology), 2017
Christina C. Bartenschlager and Michael Krapp
AStA Wirtschafts- und Sozialstatistisches Archiv, 2015, Volume 9, Number 2, Page 107
Shulian Shang, Mengling Liu, and Yongzhao Shao
Open Journal of Statistics, 2012, Volume 02, Number 02, Page 163
Irene Castro-Conde and Jacobo de Uña-Álvarez
Computational Statistics, 2015, Volume 30, Number 4, Page 1143
Shulian Shang, Qianhe Zhou, Mengling Liu, and Yongzhao Shao
Journal of Probability and Statistics, 2012, Volume 2012, Page 1
Andrea Cerioli and Alessio Farcomeni
Computational Statistics & Data Analysis, 2011, Volume 55, Number 1, Page 544
David Shilane, Jarno Martikainen, Sandrine Dudoit, and Seppo J. Ovaska
Information Sciences, 2008, Volume 178, Number 14, Page 2870

Comments (0)

Please log in or register to comment.
Log in