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Calibrated Bayesian credible intervals for binomial proportions

Calibrated Bayesian credible intervals for binomial proportions

Drawbacks of traditional approximate and exact confidence intervals for binomial proportions are well recognized. Alternatives include an interval based on inverting the score test, adaptations of exact testing, and Bayesian credible intervals. We propose an approach that calls for selecting an optimal value κ between 0 and 0.5 based on …