Journal
BIOMETRICS
Volume 57, Issue 3, Pages 963-971Publisher
INTERNATIONAL BIOMETRIC SOC
DOI: 10.1111/j.0006-341X.2001.00963.x
Keywords
binomial distribution; Clopper-Pearson interval; difference of proportions; exact test; odds ratio; proportion; relative risk; tail method
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The traditional definition of a confidence interval requires the coverage probability at any value of the parameter to be at least the nominal confidence level. In constructing such intervals for parameters in discrete distributions, less conservative behavior results from inverting a single two-sided test than inverting two separate one-sided tests of half the nominal level each. We illustrate for a variety of discrete problems, including interval estimation of a binomial parameter, the difference and the ratio of two binomial parameters for independent samples, and the odds ratio.
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