Abstract Sample size determination is commonly encountered in modern 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 are used to illustrate the proposed methodologies.
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).
Cite this article:
Zhanping ZHAO,Niansheng TANG,Yunxian LI. SAMPLE-SIZE DETERMINATION FOR TWO INDEPENDENT BINOMIAL EXPERIMENTS[J]. Journal of Systems Science and Complexity, 2011, 24(5): 981-990.