Department of Statistics, University of California, Riverside, CA 92521, USA.
Stat Med. 2010 Nov 10;29(25):2617-30. doi: 10.1002/sim.4023.
Coherence and Consonance are two important concepts in multiple testing procedures (MTP). Closed test is a well-known coherent hypothesis testing procedure, which is not necessarily consonant. In this paper, we propose two consonant closed likelihood ratio tests which are compared with the step-down Dunnett test (SD) and Dunnett-Tamhane step-up test (SU) in several aspects. Simulation and dose-response study examples show that the new procedures have certain advantages over the SD and SU test. For example, the rejection region of our new procedures is larger than that of the SD test particularly when most of the null hypotheses are false. The new procedures control the family-wise error rate (FWER) strongly without the equal correlation assumption, which is a necessary condition for the SU test. In terms of computing effort, the new procedures require similar moderate computation for critical constants as the SU test and they follow the same steps as any closed test procedures. We also provide guideline in applying consonance adjustment in multivariate analysis with mixed model and repeated measurements.
一致性和协调性是多重检验程序（MTP）中的两个重要概念。封闭检验是一种众所周知的一致性假设检验程序，但不一定是协调的。在本文中，我们提出了两种协调的封闭似然比检验，它们在多个方面与逐步 Dunnett 检验（SD）和 Dunnett-Tamhane 逐步检验（SU）进行了比较。模拟和剂量反应研究实例表明，新程序在某些方面优于 SD 和 SU 检验。例如，当大多数零假设为假时，我们新程序的拒绝域大于 SD 检验的拒绝域。新程序在没有相等相关性假设的情况下强烈控制总体错误率（FWER），这是 SU 检验的必要条件。在计算工作量方面，新程序需要与 SU 检验相同的临界常数中等计算，并且它们遵循与任何封闭检验程序相同的步骤。我们还为混合模型和重复测量的多元分析中应用协调性调整提供了指导。
