Inferences on the Difference of Two Proportions: A Bayesian Approach

• 作者: Nguyen Van Thin Phan Phuc Doan Thu Pham-Gia
• 来源期刊: 统计学期刊(英文)
• 学科: 医学
• 关键词: PROPORTION CONVOLUTION Normal BETA BAYESIAN Critical Value Appell’s Function
• 年，卷（期）: tjxqkyw_2017,（1）
• 页码范围: 1-15
• 页数: 15页
• 分类号: R73

摘要

Let π=π1-π2 be the difference of two independent proportions related to two populations. We study the test H0:π≥0 against different alternatives, in the Bayesian context. The various Bayesian approaches use standard beta distributions, and are simple to derive and compute. But the more general test H0:π≥η, with η>0, requires more advanced mathematical tools to carry out the computations. These tools, which include the density of the difference of two general beta variables, are presented in the article, with numerical examples for illustrations to facilitate comprehension of results.