Advances in p-Value Based Multiple Test Procedures
Advances in p-Value Based Multiple Test Procedures
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DOI：
10.1080/10543406.2017.1378666
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发表时间：
2018-01-01
影响因子：
1.1
通讯作者：
Gou, Jiangtao
中科院分区：
文献类型：
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作者：
Tamhane, Ajit C.;Gou, Jiangtao
在本文中，我们回顾了基于 p 值的多重测试程序 (MTP) 的最新进展。我们首先简要回顾一下 Bonferroni 和 Simes 的基本测试。使用 Marcus 等人的闭合方法从它们导出标准逐步 MTP。 （1976）接下来讨论。它们包括著名的 Holm (1979)、Hochberg (1988) 和 Hommel (1988) 的 MTP 及其扩展和改进。接下来是先验有序假设的逐步 MTP。接下来，我们提出了针对层次有序的假设族及其之间的逻辑关系的把关 MTP（Dmitrienko 和 Tamhane，2007）。最后，我们简要回顾了构建和可视化守门及其他 MTP 的图形方法（Bretz 等，2009）。给出了简单的数值示例来说明各种过程。
In this article we review recent advances in p-value-based multiple test procedures (MTPs). We begin with a brief review of the basic tests of Bonferroni and Simes. Standard stepwise MTPs derived from them using the closure method of Marcus et al. (1976) are discussed next. They include the well-known MTPs of Holm (1979), Hochberg (1988) and Hommel (1988), and their extensions and improvements. This is followed by stepwise MTPs for a priori ordered hypotheses. Next we present gatekeeping MTPs (Dmitrienko and Tamhane, 2007) for hierarchically ordered families of hypotheses with logical relations among them. Finally, we give a brief review of the graphical approach (Bretz et al., 2009) to constructing and visualizing gatekeeping and other MTPs. Simple numerical examples are given to illustrate the various procedures.