Perlman Michael D, Wu Lang
Department of Statistics, University of Washington, Seattle, Washington 98195, USA.
Biometrics. 2004 Mar;60(1):276-9; discussion 279-80. doi: 10.1111/j.0006-341X.2004.00159.x.
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.
在具有多个终点的临床试验中，涉及多变量单侧备择假设的检验问题很常见。在比较两种治疗方法的情况下，如果治疗1在至少一个终点上更优，而在其余终点上没有生物学劣势，那么通常更倾向于选择治疗1。布洛赫等人（2001年，《生物统计学》57卷，第1039 - 1047页）针对此检验问题提出了一种交并检验（IUT），但他们的检验未使用适当的多变量单侧检验。在本笔记中，我们通过一种确实使用适当单侧检验的替代交并检验对他们的检验进行修改。实证和图形证据表明，所提出的检验更适合此检验问题。
