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An Examination of the Conservative Nature of “Classical” Confidence Limits for a Proportion
Author(s) -
Walters D. E.
Publication year - 1985
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/bimj.4710270804
Subject(s) - confidence interval , statistics , mathematics , range (aeronautics) , confidence distribution , confidence region , limit (mathematics) , bayes' theorem , value (mathematics) , cdf based nonparametric confidence interval , robust confidence intervals , bayesian probability , mathematical analysis , materials science , composite material
The performance of the standard confidence limits for a proportion is studied over the entire range of proportions, and for various prescribed values of the nominal confidence coefficient. In the light of the conservative nature of these limits, modifications are suggested resulting in limits with average confidence coefficients close to the 95% nominal value. A comparison is made with a solution obtained from the application of Bayes's theorem to the problem.