カワサキ　ヨウヘイ   KAWASAKI Yohei   川﨑　洋平    所属   埼玉医科大学  医学部 研究統括センター    職種   教授
論文種別	学術雑誌(原著)
言語種別	英語
査読の有無	査読あり
表題	A Posterior Density for the Difference Between Two Binominal Proportions and the Highest Posterior Density Credible Interval
掲載誌名	正式名：Journal of the Japan Statistical Society
掲載区分	国外
出版社	THE JAPAN STATISTICAL SOCIETY
巻・号・頁	40(2),265-275頁
総ページ数	11
著者・共著者	Y. Kawasaki, E. Miyaoka
発行年月	2010
概要	The statistical inference concerning the difference between two independent binominal proportions has often been discussed in medical and statistical literature. This discussion is far more often based on the frequency theory of statistical inference than on the Bayesian theory. In this article, we propose the expression of the posterior probability density function (pdf) for the difference between two independent binominal proportions. In addition, we calculate the exact Highest Posterior Density (HPD) credible interval by using this expression. We also compare both the exact HPD credible interval and the approximate credible interval. We find that the former always has a narrower interval length than the latter.
DOI	10.14490/jjss.40.265