Confidence and Credibility Intervals for the Difference of Two Proportions

被引:0
|
作者
Zhang, Hanwen [1 ]
Gutierrez Rojas, Hugo Andres [1 ]
Cepeda Cuervo, Edilberto [2 ]
机构
[1] Univ Santo Tomas, Ctr Invest & Estudios Estadist CIEES, Fac Estadist, Bogota, Colombia
[2] Univ Nacl Colombia, Dept Estadist, Fac Ciencias, Bogota, Colombia
来源
REVISTA COLOMBIANA DE ESTADISTICA | 2010年 / 33卷 / 01期
关键词
Confidence intervals; Credibility intervals; Difference of two proportions; BINOMIAL PROPORTION;
D O I
暂无
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
This paper presents a frequentist comparison of the performance of confidence and credibility intervals for the difference of two proportions from two independent samples. The comparison is carried out considering three frequentist criteria. It was found that the intervals with the best performance, in terms of coverage probability, are Bayesians; in terms of expected length and variance of the length, the Newcombe interval shows the best performance. As a final remark, it was found that traditional intervals such as the Wald and adjusted Wald have a poor performance.
引用
收藏
页码:63 / 88
页数:26
相关论文
共 50 条
  • [21] Confidence intervals for a difference between proportions based on paired data
    Tang, Man-Lai
    Ling, Man-Ho
    Ling, Leevan
    Tian, Guoliang
    [J]. STATISTICS IN MEDICINE, 2010, 29 (01) : 86 - 96
  • [22] New confidence intervals for the difference between two proportions in two-sample correlated binary data
    Kang, Seung-Ho
    [J]. JOURNAL OF THE KOREAN STATISTICAL SOCIETY, 2008, 37 (02) : 175 - 183
  • [23] New confidence intervals for the difference between two proportions in two-sample correlated binary data
    Seung-Ho Kang
    [J]. Journal of the Korean Statistical Society, 2008, 37 : 175 - 183
  • [24] Confidence intervals for a ratio of two independent binomial proportions
    Price, Robert M.
    Bonett, Douglas G.
    [J]. STATISTICS IN MEDICINE, 2008, 27 (26) : 5497 - 5508
  • [25] Cost-efficient fixed-width confidence intervals for the difference of two Bernoulli proportions
    Erazo, Ignacio
    Goldsman, David
    Mei, Yajun
    [J]. JOURNAL OF SIMULATION, 2023, 18 (05) : 726 - 744
  • [26] Smooth bootstrap-based confidence intervals for one binomial proportion and difference of two proportions
    Wang, Dongliang
    Hutson, Alan D.
    [J]. JOURNAL OF APPLIED STATISTICS, 2013, 40 (03) : 614 - 625
  • [27] Recommended confidence intervals for two independent binomial proportions
    Fagerland, Morten W.
    Lydersen, Stian
    Laake, Petter
    [J]. STATISTICAL METHODS IN MEDICAL RESEARCH, 2015, 24 (02) : 224 - 254
  • [28] Confidence Intervals and Credibility Intervals for a Proportion
    Cepeda-Cuervo, Edilberto
    Aguilar, Wilson
    Cervantes, Victor
    Corrales, Martha
    Diaz, Ivan
    Rodriguez, Diana
    [J]. REVISTA COLOMBIANA DE ESTADISTICA, 2008, 31 (02): : 211 - 228
  • [30] Approximate confidence intervals for the difference in proportions for partially observed binary data
    Das, Ujjwal
    Basu, Ranojoy
    [J]. STATISTICAL METHODS IN MEDICAL RESEARCH, 2022, 31 (03) : 488 - 509