Modified Clopper-Pearson Confidence Interval for Binomial Proportion

Abstract

We introduce expected coverage probability as a measure for constructing confidence intervals for the binomial proportion, p. We propose a model based confidence interval for p using the expected coverage probabilities of the Clopper-Pearson interval. The method provides intervals comparable or better than the alternative intervals, such as the Wilson, Agresti-Coull and Jeffreys intervals.

Keywords

• Binomial proportion
• Expected coverage probability
• Coverage probability
• Exact confidence interval
• Logistic model