@article {perlman_note_2004,
title = {A Note on One-Sided Tests with Multiple Endpoints},
journal = {Biometrics},
volume = {60},
number = {1},
year = {2004},
month = {mar},
pages = {276{\textendash}280},
abstract = {Summary.~ 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{\textendash}1047) propose an intersection{\textendash}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.},
keywords = {Hotelling{\textquoteright}s T~2, Intersection-union test, Likelihood ratio tests, Multiple endpoints, Multivariate one-sided test},
issn = {1541-0420},
doi = {10.1111/j.0006-341X.2004.00159.x},
url = {http://onlinelibrary.wiley.com/doi/10.1111/j.0006-341X.2004.00159.x/abstract},
author = {Perlman, Michael D. and WU, LANG}
}