A Note on One-Sided Tests with Multiple Endpoints

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  1. Department of Statistics
  2. A Note on One-Sided Tests with Multiple Endpoints

A Note on One-Sided Tests with Multiple Endpoints

TitleA Note on One-Sided Tests with Multiple Endpoints
Publication TypeJournal Article
Year of Publication2004
AuthorsPerlman, MD, WU, LANG
JournalBiometrics
Volume60
Pagination276–280
Date Publishedmar
ISSN1541-0420
KeywordsHotelling's T 2, Intersection-union test, Likelihood ratio tests, Multiple endpoints, Multivariate one-sided test
AbstractSummary.  Testing problems with multivariate one-sided alternative hypotheses are common in clinical trials with multiple endpoints. In the case of comparing two treatments, treatment 1 is often preferred if it is superior for at least one of the endpoints and not biologically inferior for the remaining endpoints. Bloch et al. (2001, Biometrics57, 1039–1047) propose an intersection–union test (IUT) for this testing problem, but their test does not utilize the appropriate multivariate one-sided test. In this note we modify their test by an alternative IUT that does utilize the appropriate one-sided test. Empirical and graphical evidence show that the proposed test is more appropriate for this testing problem.
URLhttp://onlinelibrary.wiley.com/doi/10.1111/j.0006-341X.2004.00159.x/abstract
DOI10.1111/j.0006-341X.2004.00159.x