Confidence intervals for the binomial parameter: some new considerations

作     者：Reiczigel, J 

作者机构：Szent Istvan Univ Fac Vet Sci Dept Biomath & Informat H-1078 Budapest Hungary 

出 版 物：《STATISTICS IN MEDICINE》 (医学统计学)

年 卷 期：2003年第22卷第4期

页      面：611-621页

核心收录：

学科分类：0710[理学-生物学] 1004[医学-公共卫生与预防医学(可授医学、理学学位)] 1001[医学-基础医学(可授医学、理学学位)] 0714[理学-统计学（可授理学、经济学学位）] 10[医学] 

主　　题：exact confidence interval test inversion minimum coverage mean coverage binomial proportion 

摘      要：Several methods have been proposed to construct confidence intervals for the binomial parameter. Some recent papers introduced the mean coverage criterion to evaluate the performance of confidence intervals and suggested that exact methods, because of their conservatism, are less useful than asymptotic ones. In these studies, however, exact intervals were always represented by the Clopper-Pearson interval (C-P). Now we focus on Sterne s interval, which is also exact and known to be better than the C-P in the two-sided case. Introducing a computer intensive level-adjustment procedure which allows constructing intervals that are exact in terms of mean coverage, we demonstrate that Sterne s interval performs better than the best asymptotic intervals, even in the mean coverage context. Level adjustment improves the C-P as well, which, with an appropriate level adjustment, becomes equivalent to the mid-P interval. Finally we show that the asymptotic behaviour of the mid-P method is far poorer than is generally expected. Copyright (C) 2003 John Wiley Sons, Ltd.