{"title":"二项比例的贝叶斯优势指数和Fisher精确检验的p值","authors":"K. Kawasaki, Asanao Shimokawa, E. Miyaoka","doi":"10.14490/JJSS.44.73","DOIUrl":null,"url":null,"abstract":"Proportions based on the binominal distribution are often compared in clinical tests. Biostatisticians often use the Fisher exact test in order to show the superiority of the binominal proportions of a test drug. Kawasaki and Miyaoka (2012) derived an accurate expression for a new index: θ = P (π1,post > π2,post | X1, X2) within a Bayesian framework. In this paper, we investigate the relationship between θ proposed by Kawasaki and Miyaoka (2012) and the p-value of Fisher’s exact test (Fisher (1934)). We show that these two indicators are equivalent under certain conditions.","PeriodicalId":326924,"journal":{"name":"Journal of the Japan Statistical Society. Japanese issue","volume":"25 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2014-09-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"On the Bayesian Index of Superiority and the p-Value of the Fisher Exact Test for Binomial Proportions\",\"authors\":\"K. Kawasaki, Asanao Shimokawa, E. Miyaoka\",\"doi\":\"10.14490/JJSS.44.73\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Proportions based on the binominal distribution are often compared in clinical tests. Biostatisticians often use the Fisher exact test in order to show the superiority of the binominal proportions of a test drug. Kawasaki and Miyaoka (2012) derived an accurate expression for a new index: θ = P (π1,post > π2,post | X1, X2) within a Bayesian framework. In this paper, we investigate the relationship between θ proposed by Kawasaki and Miyaoka (2012) and the p-value of Fisher’s exact test (Fisher (1934)). We show that these two indicators are equivalent under certain conditions.\",\"PeriodicalId\":326924,\"journal\":{\"name\":\"Journal of the Japan Statistical Society. Japanese issue\",\"volume\":\"25 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2014-09-29\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of the Japan Statistical Society. Japanese issue\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.14490/JJSS.44.73\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of the Japan Statistical Society. Japanese issue","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.14490/JJSS.44.73","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 3
摘要
基于二项分布的比例在临床试验中经常被比较。生物统计学家经常使用费雪精确检验，以显示试验药物的二项比例的优越性。Kawasaki and Miyaoka(2012)在贝叶斯框架下导出了一个新指标的精确表达式:θ = P (π1,post > π2,post | X1, X2)。本文研究了Kawasaki and Miyaoka(2012)提出的θ与Fisher精确检验(Fisher(1934))的p值之间的关系。我们证明这两个指标在一定条件下是等价的。
On the Bayesian Index of Superiority and the p-Value of the Fisher Exact Test for Binomial Proportions
Proportions based on the binominal distribution are often compared in clinical tests. Biostatisticians often use the Fisher exact test in order to show the superiority of the binominal proportions of a test drug. Kawasaki and Miyaoka (2012) derived an accurate expression for a new index: θ = P (π1,post > π2,post | X1, X2) within a Bayesian framework. In this paper, we investigate the relationship between θ proposed by Kawasaki and Miyaoka (2012) and the p-value of Fisher’s exact test (Fisher (1934)). We show that these two indicators are equivalent under certain conditions.
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