@article {perlman_improved_2006,
	title = {Some Improved Tests for Multivariate One-Sided Hypotheses},
	journal = {Metrika},
	volume = {64},
	number = {1},
	year = {2006},
	month = {feb},
	pages = {23{\textendash}39},
	abstract = {Multivariate one-sided hypothesis-testing problems are very common in clinical trials with multiple endpoints. The likelihood ratio test (LRT) and union-intersection test (UIT) are widely used for testing such problems. It is argued that, for many important multivariate one-sided testing problems, the LRT and UIT fail to adapt to the presence of subregions of varying dimensionalities on the boundary of the null parameter space and thus give undesirable results. Several improved tests are proposed that do adapt to the varying dimensionalities and hence reflect the evidence provided by the data more accurately than the LRT and UIT. Moreover, the proposed tests are often less biased and more powerful than the LRT and UIT.},
	keywords = {Economic Theory, general, likelihood ratio test, Multiple endpoints, One-sided hypothesis, p-value, Probability Theory and Stochastic Processes, Statistics, Statistics for Business/Economics/Mathematical Finance/Insurance, Union-intersection test},
	issn = {0026-1335, 1435-926X},
	doi = {10.1007/s00184-006-0028-0},
	url = {http://link.springer.com/article/10.1007/s00184-006-0028-0},
	author = {Perlman, Michael D. and WU, LANG}
}
@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}
}
