Inferences on the Difference of Two Proportions: A Bayesian Approach
作者: Thu Pham-GiaNguyen Van ThinPhan Phuc Doan
作者单位: 1Department of Mathematics and Statistics, Université de Moncton, New Brunswick, Canada
2Faculty of Mathematics and Computer Science, Hochiminh University of Science, Ho Chi Minh, Vietnam
刊名: Open Journal of Statistics, 2017, Vol.7 (1), pp.1-15
来源数据库: Scientific Research Publishing Journal
DOI: 10.4236/ojs.2017.71001
原始语种摘要: 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.
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  • general 普遍的
  • facilitate 简化
  • standard 标准
  • more 更多
  • alternatives 代替案
  • comprehension 理解力
  • advanced 先进的
  • tools 工具
  • density 密度
  • independent 独立的