Dmitrienko Alex, Tamhane Ajit C, Wang Xin, Chen Xun
Eli Lilly and Company, Indianapolis, IN 46285, USA.
Biom J. 2006 Dec;48(6):984-91. doi: 10.1002/bimj.200610274.
This paper discusses multiple testing problems in which families of null hypotheses are tested in a sequential manner and each family serves as a gatekeeper for the subsequent families. Gatekeeping testing strategies of this type arise frequently in clinical trials with multiple objectives, e.g., multiple endpoints and/or multiple dose-control comparisons. It is demonstrated in this paper that the parallel gatekeeping procedure of Dmitrienko, Offen and Westfall (2003) admits a simple stepwise representation (n null hypotheses can be tested in n steps rather than 2n steps required in the closed procedure). The stepwise representation considerably simplifies the implementation of gatekeeping procedures in practice and provides an important insight into the nature of gatekeeping inferences. The derived stepwise gatekeeping procedure is illustrated using clinical trial examples.
本文讨论了多重检验问题，其中原假设族以序贯方式进行检验，且每个原假设族作为后续原假设族的把关者。这种类型的把关检验策略在具有多个目标的临床试验中经常出现，例如多个终点和/或多个剂量-对照比较。本文证明，德米特里延科、奥芬和韦斯特福尔（2003年）提出的平行把关程序具有一种简单的逐步表示形式（n个原假设可以分n步进行检验，而不是封闭式程序所需的2n步）。这种逐步表示形式在实践中极大地简化了把关程序的实施，并为把关推断的本质提供了重要的见解。文中使用临床试验示例对推导得出的逐步把关程序进行了说明。
