Fisher's exact test from a Bayes perspective

被引:1
|
作者
Gunel, Erdogan [1 ]
Ryan, Kenneth Joseph [1 ]
机构
[1] West Virginia Univ, Dept Stat, 150 Stansbury Hall, Morgantown, WV 26506 USA
关键词
Bayesian hypothesis test; Hypergeometric distribution; Test of independence; POINT NULL HYPOTHESIS; P-VALUES; IRRECONCILABILITY;
D O I
10.1080/03610918.2016.1241402
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
Fisher's exact test is commonly used to test the null hypothesis H-0 of independence or homogeneity in 2 x 2 contingency tables. This article presents a closed formula for the Bayes factor for testing independence or homogeneity in 2 x 2 contingency tables under a flexible family of spike-and-slab testing priors. Bayes factors are also compared numerically to Fisher's exact p-values for 2 x 2 contingency tables with equal row totals. Numerical results show that a large percentage of tables with 0.01 < p-value <= 0.05 have more evidence in favor of H-0 than H-1 from the Bayesian perspective.
引用
收藏
页码:7393 / 7404
页数:12
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