Advances in p-Value Based Multiple Test Procedures. Issue 1 (2nd January 2018)

• Record Type: Journal Article
• Authors: Tamhane, Ajit C.; Gou, Jiangtao
• Is Part Of: Journal of biopharmaceutical statistics. Volume 28:Issue 1(2018)
• Page Start: 10
• Page End: 27
• Publication Date: 2018-01-02
• Subjects: Adjusted p-values -- closure method -- familywise error rate -- gatekeeping procedures -- graphical approach -- simultaneous confidence intervals -- stepwise procedures; Pharmacy -- Statistical methods -- Periodicals; Drugs -- Testing -- Statistical methods -- Periodicals; Biometry -- Periodicals; Biopharmaceutics -- Periodicals; Pharmacokinetics -- Periodicals; 615.19
• DOI: 10.1080/10543406.2017.1378666
• Languages: English
• ISSNs: 1054-3406

Abstract

ABSTRACT: In this article we review recent advances in -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.