Calculating the optimal sample size for binomial populations

被引:4
|
作者
Katsis, A [1 ]
机构
[1] Ctr Educ Res, Div Res, Athens 11636, Greece
关键词
hypothesis testing; posterior risk; Bayesian point of view;
D O I
10.1081/STA-100002143
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
This paper examines the problem of calculating the optimal sample size in the general case of a hypothesis test among many binomial proportions. The methodology follows the Bayesian point of view. Initially, an upper bound on the posterior risk is imposed. Since this is a pre-experimental process, a similar constraint is set on the probability of the unknown data not satisfying the previous condition. We examine the cases when the proportions are equal to a fixed or a random value and analyze the results for three binomial populations.
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页码:665 / 678
页数:14
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