%0 Journal Article
%T Confidence Intervals for the Binomial Proportion: A Comparison of Four Methods
%A Luke AkongˇŻo Orawo
%J Open Journal of Statistics
%P 806-816
%@ 2161-7198
%D 2021
%I Scientific Research Publishing
%R 10.4236/ojs.2021.115047
%X This
paper presents four methods of constructing the confidence interval for the
proportion <i><span style=\"font-family:Verdana;\">p</span></i><span style=\"font-family:;\" \"=\"\"><span style=\"font-family:Verdana;\"> 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 </span><i><span style=\"font-family:Verdana;\">p</span></i><span style=\"font-family:Verdana;\">.
Even for moderately large sample sizes, the coverage probabilities of the Wald
confidence interval prove to be erratic for extreme values of </span><i><span style=\"font-family:Verdana;\">p</span></i><span style=\"font-family:Verdana;\">. Three alternative confidence
intervals, namely, Wilson confidence interval, Clopper-Pearson interval, and
likelihood interval</span></span><span style=\"font-family:Verdana;\">,</span><span style=\"font-family:Verdana;\"> are
compared to the Wald confidence interval on the basis of coverage probability
and expected length by means of simulation.</span>
%K Binomial Distribution
%K Confidence Interval
%K Coverage Probability
%K Expected Length
%K Relative Likelihood Function
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=112481