title: A note on one-sided tests with multiple endpoints.
abstract: 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.
authors.affiliation: Department of Statistics, University of Washington, Seattle, Washington 98195, USA. michael@ms.washington.edu
authors.forename: Michael D
authors.initials: MD
authors.lastname: Perlman
authors.forename: Lang
authors.initials: L
authors.lastname: Wu
mesh_terms: D001699:Biometry; D002986:Clinical Trials as Topic / Q000706:statistics & numerical data; D023381:Endpoint Determination / Q000706:statistics & numerical data; D006801:Humans; D015233:Models, Statistical; D009010:Monte Carlo Method; D015999:Multivariate Analysis