A graphical approach to sequentially rejective multiple test procedures
A graphical approach to sequentially rejective multiple test procedures
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DOI：
10.1002/sim.3495
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发表时间：
2009-02-15
影响因子：
2
通讯作者：
Posch, Martin
中科院分区：
文献类型：
--
作者：
Bretz, Frank;Maurer, W.;Posch, Martin
对于具有多个治疗组或终点的临床试验，已经提出了各种顺序拒绝的加权Bonferroni型检验，例如守门程序、固定序列检验和回退程序。他们允许映射的重要性差异，以及各种研究问题之间的关系到一个适当的多个测试程序。由于这些程序依赖于封闭测试原则，它们通常需要明确指定大量的交叉假设测试。因此，潜在的测试策略可能难以传达。我们提出了一个简单的迭代图形方法来构建和执行这样的Bonferroni型测试。由此产生的多个测试程序由定向表示。加权图，其中每个节点对应于一个基本假设，以及一个简单的算法来生成这样的图，同时顺序地测试各个假设。该方法说明了几种常见的守门策略的可视化。一个案例研究是用来说明如何从这篇文章的方法可以用来定制一个多测试程序给定的研究目标。版权所有（C）2008约翰威利父子有限公司
For clinical trials with multiple treatment arms or endpoints a variety of sequentially rejective, weighted Bonferroni-type tests have been proposed, such as gatekeeping procedures, fixed sequence tests, and fallback procedures. They allow to map the difference in importance as well as the relationship between the various research questions onto an adequate multiple test procedure. Since these procedures rely on the closed test principle, they usually require the explicit specification of a large number of intersection hypotheses tests. The underlying test strategy may therefore be difficult to communicate. We propose a simple iterative graphical approach to construct and perform such Bonferroni-type tests. The resulting multiple test procedures are represented by directed. weighted graphs, where each node corresponds to an elementary hypothesis, together with a simple algorithm to generate such graphs while sequentially testing the individual hypotheses. The approach is illustrated with the visualization of several common gatekeeping strategies. A case study is used to illustrate how the methods from this article can be used to tailor a multiple test procedure to given study objectives. Copyright (C) 2008 John Wiley & Sons, Ltd.