文章基本信息

标题：Test Of Homogeneity For Umbrella Alternatives In Dose-Response Relationship For Poisson Variables
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作者：Xiong, Chengjie ; Yan, Yan ; Ji, Ming 等
期刊名称：Journal of Modern Applied Statistical Methods
出版年度：2003
卷号：2
期号：2
页码：12
出版社：Wayne State University
摘要：This article concerns the testing and estimation of a dose-response effect in medical studies. We study the statistical test of homogeneity against umbrella alternatives in a sequence of Poisson distributions associated with an ordered dose variable. We propose a test similar to Cochran-Armitage’s trend test and study the asymptotic null distribution and the power of the test. We also propose an estimator to the vertex point when the umbrella pattern is confirmed and study the performance of the estimator. A real data set pertaining to the number of visible revertant colonies associated with different doses of test agents in an in vitro mutagenicity assay is used to demonstrate the test and estimation process.
关键词：C(α ) statistic; maximum likelihood estimate; monotone trend test; Poisson distribution; vertex point