SAMPLE-SIZE DETERMINATION FOR TWO INDEPENDENT BINOMIAL EXPERIMENTS

• 作 者: Zhanping ZHAO Niansheng TANG Yunxian LI
• 机 构: Department of Statistics, Yunnan University, Kunming 650091, China
• 出 处: 系统科学与复杂性学报（英文版）
• 发表日期: 2011年5期
• 关键词: Bayes factor Bayes posterior decision function binomial proportions power of the

Sample size determination is commonly encountered in mod medical studies for two independent binomial experiments.A new approach for calculating sample size is developed by combining Bayesian and frequentist idea when a hypothesis test between two binomial proportions is conducted.Sample size is calculated according to Bayesian posterior decision function and power of the most powerful test under 0-1 loss function.Sample sizes are investigated for two cases that two proportions are equal to some fixed value or a random value.A simulation study and a real example axe used to illustrate the proposed methodologies.