Comparison of five introduced confidence intervals for the binomial proportion

Confidence intervals for a binomial proportion.

Thirteen methods for computing binomial confidence intervals are compared based on their coverage properties, widths and errors relative to exact limits. The use of the standard textbook method, x/n +/- 1.96 square root of [(x/n)(1-x/n)/n], or its continuity corrected version, is strongly discouraged. A commonly cited rule of thumb stating that alternatives to exact methods may be used when the...

Confidence Intervals for a Binomial Proportion and Asymptotic Expansions

Your use of the JSTOR archive indicates your acceptance of JSTOR's Terms and Conditions of Use, available at http://www.jstor.org/page/info/about/policies/terms.jsp. JSTOR's Terms and Conditions of Use provides, in part, that unless you have obtained prior permission, you may not download an entire issue of a journal or multiple copies of articles, and you may use content in the JSTOR archive o...

The monotone boundary property and the full coverage property of confidence intervals for a binomial proportion

Article history: Received 1 March 2006 Accepted 26 July 2009 Available online 27 August 2009

Confidence Intervals for the Binomial Parameter

Simultaneous confidence intervals for comparing binomial parameters.

SUMMARY To compare proportions with several independent binomial samples, we recommend a method of constructing simultaneous confidence intervals that uses the studentized range distribution with a score statistic. It applies to a variety of measures, including the difference of proportions, odds ratio, and relative risk. For the odds ratio, a simulation study suggests that the method has cover...

Confidence Intervals for a Binomial Proportion and Asymptotic Expansions1 by Lawrence

We address the classic problem of interval estimation of a binomial proportion. The Wald interval p̂ ± zα/2n−1/2(p̂(1 − p̂))1/2 is currently in near universal use. We first show that the coverage properties of the Wald interval are persistently poor and defy virtually all conventional wisdom. We then proceed to a theoretical comparison of the standard interval and four additional alternative inter...