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Although the problem has been extensively studied in the literature, researchers cannot agree on its solution at present. In this paper, we propose a new method for dealing with the Behrens-Fisher problem in the Bayesian framework. The Bayesian evidence for testing the equality of two normal means and a credible interval at a specified level for the difference between the means are derived. Simulation studies are carried out to evaluate the performance of the provided Bayesian evidence.<\/jats:p>","DOI":"10.1155\/2014\/978691","type":"journal-article","created":{"date-parts":[[2014,3,4]],"date-time":"2014-03-04T21:11:09Z","timestamp":1393967469000},"page":"1-5","source":"Crossref","is-referenced-by-count":3,"title":["Analysis of the Behrens-Fisher Problem Based on Bayesian Evidence"],"prefix":"10.1155","volume":"2014","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-1801-0031","authenticated-orcid":true,"given":"Yuliang","family":"Yin","sequence":"first","affiliation":[{"name":"School of Economics, Beijing Technology and Business University, Beijing 100048, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Baoren","family":"Li","sequence":"additional","affiliation":[{"name":"School of Economics, Beijing Technology and Business University, Beijing 100048, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","reference":[{"issue":"406","key":"16","first-page":"602","volume":"84","year":"1989","journal-title":"Journal of the American Statistical Association"},{"key":"10","year":"1967"},{"key":"17","series-title":"Edited by R. 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