SAMPLE-SIZE DETERMINATION FOR TWO INDEPENDENT BINOMIAL EXPERIMENTS  

作　　者：Zhanping ZHAO NianshengTANG Yunxian LI 

机构地区：[1]Department of Statistics, Yunnan University, Kunming 650091, China

出　　处：《Journal of Systems Science & Complexity》2011年第5期981-990,共10页系统科学与复杂性学报（英文版）

基　　金：This research is supported by the National Natural Science Foundation of China under Grant Nos. 10761011, 10961026, Ph.D. Special Scientific Research Foundation of Chinese University under Grant No. 20060673002, and by program for New Century Excellent Talents in University （NCET-07-0737）.

摘　　要：Sample size determination is commonly encountered in modern medical studies for two inde- pendent 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 are used to illustrate the proposed methodologies.

关 键 词：Bayes factor Bayes posterior decision function binomial proportions power of the mostpowerful test sample-size determination. 

分 类 号：O212.2[理学—概率论与数理统计] TP368[理学—数学]