文章基本信息

标题：Type I error for a chi-square test when the response probability changes during a trial
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作者：Feifang Hu ; Jiandong Lu ; Feng Tai 等
期刊名称：Statistics and Its Interface
印刷版ISSN：1938-7989
电子版ISSN：1938-7997
出版年度：2012
卷号：5
期号：4
页码：471-478
DOI：10.4310/SII.2012.v5.n4.a10
出版社：International Press
摘要：Chi-square test is a commonly used method for testing null hypothesis of no difference between treatment groups in a binary response in a randomized clinical trial. The Type I error is considered well controlled with a homogeneous population. In this article, we investigate the type I error of the chi-square test when the underlying response probability changes in the middle of a trial. In particular, we derive the asymptotic properties of the chi-square test under such an assumption and show that the type I error of the chi-square test is well controlled. Therefore, the chi-square test is still valid under change in response probability. Additionally, we present the computation of the actual type I error and some numerical results in an example to illustrate impact on Type I error by a change in response probability.
关键词：response probability; Cochran-Mantel-Haenzsel test; asymptotic property