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Exact confidence intervals for the relative risk and the odds ratio
Author(s) -
Wang Weizhen,
Shan Guogen
Publication year - 2015
Publication title -
biometrics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.298
H-Index - 130
eISSN - 1541-0420
pISSN - 0006-341X
DOI - 10.1111/biom.12360
Subject(s) - confidence interval , odds ratio , statistics , binomial (polynomial) , mathematics , relative risk , intersection (aeronautics) , odds , binomial proportion confidence interval , logistic regression , negative binomial distribution , poisson distribution , engineering , aerospace engineering
Summary 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.