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Sample-size determination for two independent binomial experiments
  • 期刊名称:Journal of Systems Science and Complexity
  • 时间:0
  • 页码:981-990
  • 分类:O212.2[理学—概率论与数理统计;理学—数学] TP368[自动化与计算机技术—计算机系统结构;自动化与计算机技术—计算机科学与技术]
  • 作者机构:[1]Department of Statistics, Yunnan University, Kunming 650091, China
  • 相关基金: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).
  • 相关项目:复杂数据非线性模型的统计推断及其应用
中文摘要:

样品尺寸决心通常为二个独立二项式的实验在现代医药研究被遇到。为精明的样品尺寸的一条新途径被联合开发贝叶斯并且 frequentist 想法当在二个二项式的比例之间的假设测试被进行时。样品尺寸在 0-1 损失功能下面根据贝叶斯的以后的决定功能和最强大的测试的力量被计算。样品尺寸为二个比例等于某固定价值或随机的价值的二个案例被调查。模拟研究和一个真实例子被用来说明建议方法论。

英文摘要:

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.

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