相对风险和比值比的精确置信区间。
Exact confidence intervals for the relative risk and the odds ratio.
作者信息
Wang Weizhen, Shan Guogen
机构信息
College of Applied Sciences, Beijing University of Technology, Beijing 100124, P. R. China.
Department of Mathematics and Statistics, Wright State University, Dayton, Ohio, U.S.A.
出版信息
Biometrics. 2015 Dec;71(4):985-95. doi: 10.1111/biom.12360. Epub 2015 Jul 30.
For comparison of proportions, there are three commonly used measurements: the difference, the relative risk, and the odds ratio. Significant effort has been spent on exact confidence intervals for the difference. In this article, we focus on the relative risk and the odds ratio when data are collected from a matched-pairs design or a two-arm independent binomial experiment. Exact one-sided and two-sided confidence intervals are proposed for each configuration of two measurements and two types of data. The one-sided intervals are constructed using an inductive order, they are the smallest under the order, and are admissible under the set inclusion criterion. The two-sided intervals are the intersection of two one-sided intervals. R codes are developed to implement the intervals. Supplementary materials for this article are available online.
对于比例的比较，有三种常用的度量方法：差值、相对风险和比值比。人们在差值的精确置信区间方面投入了大量精力。在本文中，当数据是从配对设计或双臂独立二项试验中收集时，我们关注相对风险和比值比。针对两种度量和两种数据类型的每种组合，提出了精确的单侧和双侧置信区间。单侧区间是按照归纳顺序构建的，在该顺序下它们是最小的，并且在集合包含准则下是可接受的。双侧区间是两个单侧区间的交集。开发了R代码来实现这些区间。本文的补充材料可在线获取。
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