Bayesian sample size calculations for binomial experiments

Bayesian sample size calculations for binomial experiments
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DOI:
10.1016/s0378-3758(99)00019-1
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发表时间:
1999-11-01
影响因子:
0.9
通讯作者:
Toman, B
Toman, B
中科院分区:
数学3区
文献类型:
--
作者:
Katsis, A;Toman, B

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本文提出了一种新的方法来计算最佳样本容量时,两个二项比例之间的假设检验进行。这个问题是从贝叶斯的角度来解决的。根据DasGupta和Vidakovic(1997,J. Statist.计划推论65,335-347),后验风险被确定并设置为不超过预先指定的界限。第二个约束处理数据不满足风险界限的可能性。当两个比例是等于一个固定的或一个随机值的情况下进行检查。(C)1999 Elsevier Science B. V.保留所有权利。
This paper proposes new methodology for calculating the optimal sample size when a hypothesis test between two binomial proportions is conducted. The problem is addressed from the Bayesian point of view. Following the formulation by DasGupta and Vidakovic (1997, J. Statist. Plann. Inference 65, 335-347), the posterior risk is determined and set not to exceed a prespecified bound. A second constraint deals with the likelihood of data not satisfying the bound on the risk. The cases when the two proportions are equal to a fixed or to a random value are examined. (C) 1999 Elsevier Science B.V. All rights reserved.