Advances in p-Value Based Multiple Test Procedures

Journal of Biopharmaceutical Statistics
Ajit C Tamhane, Jiangtao Gou

Abstract

In this article we review recent advances in [Formula: see text]-value-based multiple test procedures (MTPs). We begin with a brief review of the basic tests of Bonferroni and Simes. Standard stepwise MTPs derived from them using the closure method of Marcus et al. (1976) are discussed next. They include the well-known MTPs of Holm (1979), Hochberg (1988) and Hommel (1988), and their extensions and improvements. This is followed by stepwise MTPs for a priori ordered hypotheses. Next we present gatekeeping MTPs (Dmitrienko and Tamhane, 2007) for hierarchically ordered families of hypotheses with logical relations among them. Finally, we give a brief review of the graphical approach (Bretz et al., 2009) to constructing and visualizing gatekeeping and other MTPs. Simple numerical examples are given to illustrate the various procedures.

References

Jul 23, 2003·Statistics in Medicine·Alexei DmitrienkoPeter H Westfall
Nov 11, 2005·Journal of Biopharmaceutical Statistics·Brian L Wiens, Alexei Dmitrienko
Jun 23, 2007·Pharmaceutical Statistics·Alex Dmitrienko, Ajit C Tamhane
May 20, 2008·Statistics in Medicine·Alex DmitrienkoBrian L Wiens
Oct 22, 2008·Biometrical Journal. Biometrische Zeitschrift·Alex DmitrienkoBrian L Wiens
Oct 22, 2008·Biometrical Journal. Biometrische Zeitschrift·Olivier Guilbaud
Dec 4, 2008·Statistics in Medicine·Frank BretzMartin Posch
Jan 15, 2009·Statistics in Medicine·C-F BurmanO Guilbaud
Apr 20, 2011·Statistics in Medicine·Alex Dmitrienko, Ajit C Tamhane
Apr 26, 2011·Journal of Biopharmaceutical Statistics·Alex DmitrienkoAjit C Tamhane
Apr 26, 2011·Journal of Biopharmaceutical Statistics·Thomas BrechenmacherAjit C Tamhane
Aug 13, 2011·Biometrical Journal. Biometrische Zeitschrift·Frank BretzKornelius Rohmeyer
Oct 10, 2012·Statistics in Medicine·Alex DmitrienkoMohammad F Huque
Feb 21, 2013·Biometrical Journal. Biometrische Zeitschrift·Alex Dmitrienko, Ajit C Tamhane
Oct 10, 2013·Statistics in Medicine·Mohamed AloshMohammad Huque
Oct 12, 2013·Statistics in Medicine·Alex Dmitrienko, Ralph D'Agostino
Dec 7, 2013·Statistics in Medicine·Dong Xi, Ajit C Tamhane
Sep 19, 2014·Biometrical Journal. Biometrische Zeitschrift·Jiangtao Gou, Ajit C Tamhane
May 8, 2015·Biometrical Journal. Biometrische Zeitschrift·Sylvia Schmidt, Werner Brannath

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Citations

Sep 7, 2018·Biometrical Journal. Biometrische Zeitschrift·Rosa J MeijerJelle J Goeman

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Software Mentioned

Hommel
WHM2
gMCP
R library
R

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