Bayesian Sample Size Calculations for Comparing Two Binomial Proportions

被引：0
|
作者：
Zhao Zhanping [1 ,2 ]
Chen Rong jiang [3 ]
Tang Niansheng [1 ]
机构：
[1] Yunnan Univ, Dept Stat, Kunming 650091, Peoples R China
[2] Huanghuai Univ, Dept Math, Zhumadian 463000, Peoples R China
[3] Henan Inst Sci & Technol, Xinxiang 453003, Peoples R China
来源：
RECENT ADVANCE IN STATISTICS APPLICATION AND RELATED AREAS, PTS 1 AND 2 | 2008年
关键词：
Bayes Decision Function; Bayes Factor; Binomial Proportions; Power of the Most Powerful Test; Sample Size Determination;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Sample size determination is a popular problem in medical Studies. A new approach to calculate the sample size is developed by combining Bayesian and frequentist views when a hypothesis test between two binomial proportions is conducted. The sample size is calculated according to Bayesian posterior decision function and the power of the most powerful test. Sample sizes for two cases that the two proportions are equal to a fixed or to a random Value are investigated. Two numerical examples are used to Illustrate the proposed methodologies.
引用
收藏
页码：481 / +
页数：2
相关论文
共 50 条
  • [1] Bayesian Sample Size Determination for Binomial Proportions
    M'Lan, Cyr E.
    Joseph, Lawrence
    Wolfson, David B.
    BAYESIAN ANALYSIS, 2008, 3 (02): : 269 - 296
  • [2] Bayesian sample size calculation for estimation of the difference between two binomial proportions
    Pezeshk, Hamid
    Nematollahi, Nader
    Maroufy, Vahed
    Marriott, Paul
    Gittins, John
    STATISTICAL METHODS IN MEDICAL RESEARCH, 2013, 22 (06) : 598 - 611
  • [3] Bayesian sample size calculations for binomial experiments
    Katsis, A
    Toman, B
    JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 1999, 81 (02) : 349 - 362
  • [4] Sample size and power calculations for comparing two independent proportions in a 'negative' trial
    Tai, BC
    Lee, J
    PSYCHIATRY RESEARCH, 1998, 80 (02) : 197 - 200
  • [5] Bayesian consensus-based sample size criteria for binomial proportions
    Joseph, Lawrence
    Belisle, Patrick
    STATISTICS IN MEDICINE, 2019, 38 (23) : 4566 - 4573
  • [6] Bayesian sample size calculations for comparing two strategies in SMART studies
    Turchetta, Armando
    Moodie, Erica E. M.
    Stephens, David A.
    Lambert, Sylvie D.
    BIOMETRICS, 2023, 79 (03) : 2489 - 2502
  • [7] Sample calculations for comparing proportions
    Pandis, Nikolaos
    AMERICAN JOURNAL OF ORTHODONTICS AND DENTOFACIAL ORTHOPEDICS, 2012, 141 (05) : 666 - 667
  • [8] Bayesian sample size calculations for a non-inferiority test of two proportions in clinical trials
    Daimon, Takashi
    CONTEMPORARY CLINICAL TRIALS, 2008, 29 (04) : 507 - 516
  • [9] SAMPLE-SIZE CALCULATIONS FOR BINOMIAL PROPORTIONS VIA HIGHEST POSTERIOR DENSITY INTERVALS
    JOSEPH, L
    WOLFSON, DB
    DUBERGER, R
    STATISTICIAN, 1995, 44 (02): : 143 - 154
  • [10] Sample size calculation for comparing two negative binomial rates
    Zhu, Haiyuan
    Lakkis, Hassan
    STATISTICS IN MEDICINE, 2014, 33 (03) : 376 - 387
12345