Lui Kung-Jong, Chang Kuang-Chao
1 Department of Mathematics and Statistics, College of Sciences, San Diego State University, San Diego, California, USA.
2 Department of Statistics and Information Science, Fu-Jen Catholic University, New Taipei, Taiwan, ROC.
Stat Methods Med Res. 2018 Feb;27(2):579-592. doi: 10.1177/0962280216638382. Epub 2016 Mar 21.
To improve the power of a parallel groups design and reduce the time length of a crossover trial, we may consider an incomplete block crossover design. Under a distribution-free random effects logistic regression model, we derive an exact test and a Mantel-Haenszel Type of summary test procedure for testing non-equality in binary data when comparing three treatments. We employ Monte Carlo simulation to evaluate the performance of these test procedures. We find that both test procedures developed here can perform well in a variety of situations. We use the data taken as a part of the crossover trial comparing the low and high doses of an analgesic with a placebo for the relief of pain in primary dysmenorrhea to illustrate the use of the proposed test procedures.
为了提高平行组设计的效能并缩短交叉试验的时长，我们可以考虑不完全区组交叉设计。在无分布随机效应逻辑回归模型下，我们推导了一种精确检验以及一种曼特尔-亨泽尔类型的汇总检验程序，用于在比较三种治疗方法时检验二元数据中的不平等性。我们采用蒙特卡罗模拟来评估这些检验程序的性能。我们发现这里开发的两种检验程序在各种情况下都能表现良好。我们使用作为交叉试验一部分的数据来说明所提出的检验程序的用法，该交叉试验比较了低剂量和高剂量的一种镇痛药与安慰剂对原发性痛经疼痛缓解的效果。
