文章基本信息

标题：Confidence Intervals for the Binomial Proportion: A Comparison of Four Methods
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作者：Luke Akong’o Orawo
期刊名称：Open Journal of Statistics
印刷版ISSN：2161-718X
电子版ISSN：2161-7198
出版年度：2021
卷号：11
期号：5
页码：806-816
DOI：10.4236/ojs.2021.115047
语种：English
出版社：Scientific Research Publishing
摘要：This paper presents four methods of constructing the confidence interval for the proportion p of the binomial distribution. Evidence in the literature indicates the standard Wald confidence interval for the binomial proportion is inaccurate, especially for extreme values of p. Even for moderately large sample sizes, the coverage probabilities of the Wald confidence interval prove to be erratic for extreme values of p. Three alternative confidence intervals, namely, Wilson confidence interval, Clopper-Pearson interval, and likelihood interval, are compared to the Wald confidence interval on the basis of coverage probability and expected length by means of simulation.
关键词：Binomial Distribution;Confidence Interval;Coverage Probability;Expected Length;Relative Likelihood Function