Sample-size determination for two independent binomial experiments |
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Authors: | Zhanping Zhao Niansheng Tang Yunxian Li |
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Affiliation: | 1.Department of Statistics,Yunnan University,Kunming,China |
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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. |
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