Wang Weizhen, Peng Jianan
a Department of Mathematics and Statistics , Wright State University , Dayton , Ohio , USA.
J Biopharm Stat. 2015;25(3):525-38. doi: 10.1080/10543406.2014.920854.
It is of great interest to find the minimum effective dose (MED) in dose-response studies. A sequence of decreasing null hypotheses to find the MED is formulated under the assumption of nondecreasing dose response means. A step-up multiple test procedure that controls the familywise error rate (FWER) is constructed based on the maximum likelihood estimators for the monotone normal means. When the MED is equal to one, the proposed test is uniformly more powerful than Hsu and Berger's test (1999). Also, a simulation study shows a substantial power improvement for the proposed test over four competitors. Three R-codes are provided in Supplemental Materials for this article. Go to the publishers online edition of Journal of Biopharmaceutical Statistics to view the files.
在剂量反应研究中找到最小有效剂量(MED)极具意义。在剂量反应均值非递减的假设下,构建了一系列递减的原假设以找到MED。基于单调正态均值的最大似然估计量,构建了一种控制族错误率(FWER)的逐步多重检验程序。当MED等于1时,所提出的检验在功效上始终优于Hsu和Berger(1999年)的检验。此外,一项模拟研究表明,与四个竞争对手相比,所提出的检验在功效上有显著提高。本文的补充材料中提供了三个R代码。请访问《生物制药统计学杂志》的出版商在线版查看这些文件。