2014
DOI: 10.2991/jsta.2014.13.4.3
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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, π. We propose a model based confidence interval for π 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.

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Cited by 5 publications
(3 citation statements)
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“…The responses to this test were analyzed to measure the recall (ratio of correctly diagnosed images by dermatologists) of the real and generated images. The 95% CI was calculated using the Clopper-Pearson method [ 37 ] to estimate the uncertainty of the reported results.…”
Section: Methodsmentioning
confidence: 99%
“…The responses to this test were analyzed to measure the recall (ratio of correctly diagnosed images by dermatologists) of the real and generated images. The 95% CI was calculated using the Clopper-Pearson method [ 37 ] to estimate the uncertainty of the reported results.…”
Section: Methodsmentioning
confidence: 99%
“…Some CIs for binomial proportions are considered to perform better with small sample data than others with larger ones, the Pearson-Clopper alternative was chosen because it uses the tail method and is common. However, note that "various evaluations indicate that the Clopper-Pearson interval tends to be extremely conservative for small to moderate n (sample sizes)" [35] (p. 297), which is the case in some of the compared countries' domicile category samples.…”
mentioning
confidence: 99%
“…The Pearson-Clopper CI for proportion probability in a binomial distribution was calculated. This particular type of CI has its own pros and cons, which are discussed in the literature [35,36]. Some CIs for binomial proportions are considered to perform better with small sample data than others with larger ones, the Pearson-Clopper alternative was chosen because it uses the tail method and is common.…”
mentioning
confidence: 99%