{"id":490,"date":"2019-01-02T09:57:29","date_gmt":"2019-01-02T09:57:29","guid":{"rendered":"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/?post_type=chapter&#038;p=490"},"modified":"2019-01-02T09:57:29","modified_gmt":"2019-01-02T09:57:29","slug":"bayesian-hypothesis-testing-and-bayes-factors","status":"publish","type":"chapter","link":"https:\/\/ebooks.inflibnet.ac.in\/statp06\/chapter\/bayesian-hypothesis-testing-and-bayes-factors\/","title":{"rendered":"Bayesian Hypothesis Testing and Bayes Factors"},"content":{"raw":"<img class=\"aligncenter size-full wp-image-491\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2019\/01\/1522660691Bayes_M14_Page_05.jpg\" alt=\"\" width=\"1509\" height=\"607\" \/> <img class=\"aligncenter size-full wp-image-492\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2019\/01\/1522660691Bayes_M14_Page_09.jpg\" alt=\"\" width=\"1510\" height=\"1100\" \/> <img class=\"aligncenter size-full wp-image-493\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2019\/01\/1522660691Bayes_M14_Page_12.jpg\" alt=\"\" width=\"1512\" height=\"1046\" \/> <img class=\"aligncenter size-full wp-image-494\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2019\/01\/1522660691Bayes_M14_Page_18.jpg\" alt=\"\" width=\"1512\" height=\"1100\" \/> <img class=\"aligncenter size-full wp-image-495\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2019\/01\/1522660691Bayes_M14_Page_21.jpg\" alt=\"\" width=\"1510\" height=\"1054\" \/> <img class=\"aligncenter size-full wp-image-496\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2019\/01\/1522660691Bayes_M14_Page_24.jpg\" alt=\"\" width=\"1510\" height=\"1014\" \/> <img class=\"aligncenter size-full wp-image-497\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2019\/01\/1522660691Bayes_M14_Page_28.jpg\" alt=\"\" width=\"1512\" height=\"1028\" \/> <img class=\"aligncenter size-full wp-image-498\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2019\/01\/1522660691Bayes_M14_Page_35.jpg\" alt=\"\" width=\"1510\" height=\"1086\" \/> <img class=\"aligncenter size-full wp-image-499\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2019\/01\/1522660691Bayes_M14_Page_39.jpg\" alt=\"\" width=\"1512\" height=\"1050\" \/> <img class=\"aligncenter size-full wp-image-500\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2019\/01\/1522660691Bayes_M14_Page_42.jpg\" alt=\"\" width=\"1510\" height=\"1100\" \/> <img class=\"aligncenter size-full wp-image-501\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2019\/01\/1522660691Bayes_M14_Page_46.jpg\" alt=\"\" width=\"1512\" height=\"1098\" \/> <img class=\"aligncenter size-full wp-image-502\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2019\/01\/1522660691Bayes_M14_Page_51.jpg\" alt=\"\" width=\"1512\" height=\"1106\" \/> <img class=\"aligncenter size-full wp-image-503\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2019\/01\/1522660691Bayes_M14_Page_55.jpg\" alt=\"\" width=\"1512\" height=\"1104\" \/> <img class=\"aligncenter size-full wp-image-504\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2019\/01\/1522660691Bayes_M14_Page_56.jpg\" alt=\"\" width=\"1510\" height=\"1032\" \/> <img class=\"aligncenter size-full wp-image-505\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2019\/01\/1522660691Bayes_M14_Page_59.jpg\" alt=\"\" width=\"1512\" height=\"1108\" \/>\r\n\r\n<strong>Reference<\/strong>\r\n<ol>\r\n \t<li style=\"text-align: justify\">Beayesian Data Analysis\u201d, 3rd Edition, By Andrew Gelman, John B. Carlin, Hal S. Stern, David B. Dunson, Aki Vehtari and Donald B. Rubin.<\/li>\r\n \t<li style=\"text-align: justify\">Bayesian Statistics: An Introduction\u201d, By Peter Lee, 4th Edition, ISBN: 978-1-118-33257-3.<\/li>\r\n \t<li style=\"text-align: justify\">Monte Carlo Statistical Methods, By Robert, Christian P. and George Casella. 2004. , 2nd edition. Springer.<\/li>\r\n \t<li style=\"text-align: justify\">MCMCpack: Markov Chain Monte Carlo in R.\u201d, (2011), Andrew D. Martin, Kevin M. Quinn, and Jong HeePark,Journal of Statistical Software. 42(9): 1-21.<\/li>\r\n \t<li style=\"text-align: justify\">Applied Bayesian Modeling\u201d By Peter Congdon, 2nd Edition,Wiley,. ISBN: 978-1-119-95151-3<\/li>\r\n \t<li style=\"text-align: justify\">Bayes Linear Statistics, Theory Methods\u201d. By Goldstein,Michael; Woo, David (2007). Wiley. ISBN978-0-470-01562-9.<\/li>\r\n \t<li style=\"text-align: justify\">Hosmer, D.W. and Lemeshow, S. (1989) Applied Logistic Regression. New York: Wiley.<\/li>\r\n \t<li style=\"text-align: justify\">Venables, W. N. and Ripley, B. D. (2002) Modern Applied Statistics with S. Fourth edition. Springer.<\/li>\r\n \t<li style=\"text-align: justify\">Albert, J. H. and S. Chib. 1993. \\Bayesian Analysis of Binaryand Polychotomous Response Data.\u201dJ. Amer. Statist. Assoc.88, 669-679.<\/li>\r\n \t<li style=\"text-align: justify\">Albert, J. H. and S. Chib. 1995. \\Bayesian Residual Analysisfor Binary Response Regression Models.\u201d Biometrika. 82,747-759.<\/li>\r\n \t<li style=\"text-align: justify\">Andrew D. Martin, Kevin M. Quinn, and Jong Hee Park.2011. \u201cMCMCpack: Markov Chain Monte Carlo in R.\u201d,Journal of Statistical Software. 42(9): 1-21. http:\/\/www.jstatsoft.org\/v42\/i09\/I<\/li>\r\n \t<li style=\"text-align: justify\">Siddhartha Chib. 1995. \\ Marginal Likelihood from the Gibbs Output.\u201d Journal of the American Statistical Association.90:1313-1321.<\/li>\r\n<\/ol>","rendered":"<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-491\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2019\/01\/1522660691Bayes_M14_Page_05.jpg\" alt=\"\" width=\"1509\" height=\"607\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2019\/01\/1522660691Bayes_M14_Page_05.jpg 1509w, https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2019\/01\/1522660691Bayes_M14_Page_05-300x121.jpg 300w, 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src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2019\/01\/1522660691Bayes_M14_Page_55.jpg\" alt=\"\" width=\"1512\" height=\"1104\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2019\/01\/1522660691Bayes_M14_Page_55.jpg 1512w, https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2019\/01\/1522660691Bayes_M14_Page_55-300x219.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2019\/01\/1522660691Bayes_M14_Page_55-768x561.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2019\/01\/1522660691Bayes_M14_Page_55-1024x748.jpg 1024w, https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2019\/01\/1522660691Bayes_M14_Page_55-65x47.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2019\/01\/1522660691Bayes_M14_Page_55-225x164.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2019\/01\/1522660691Bayes_M14_Page_55-350x256.jpg 350w\" sizes=\"auto, (max-width: 1512px) 100vw, 1512px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-504\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2019\/01\/1522660691Bayes_M14_Page_56.jpg\" alt=\"\" width=\"1510\" height=\"1032\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2019\/01\/1522660691Bayes_M14_Page_56.jpg 1510w, https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2019\/01\/1522660691Bayes_M14_Page_56-300x205.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2019\/01\/1522660691Bayes_M14_Page_56-768x525.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2019\/01\/1522660691Bayes_M14_Page_56-1024x700.jpg 1024w, https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2019\/01\/1522660691Bayes_M14_Page_56-65x44.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2019\/01\/1522660691Bayes_M14_Page_56-225x154.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2019\/01\/1522660691Bayes_M14_Page_56-350x239.jpg 350w\" sizes=\"auto, (max-width: 1510px) 100vw, 1510px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-505\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2019\/01\/1522660691Bayes_M14_Page_59.jpg\" alt=\"\" width=\"1512\" height=\"1108\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2019\/01\/1522660691Bayes_M14_Page_59.jpg 1512w, https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2019\/01\/1522660691Bayes_M14_Page_59-300x220.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2019\/01\/1522660691Bayes_M14_Page_59-768x563.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2019\/01\/1522660691Bayes_M14_Page_59-1024x750.jpg 1024w, https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2019\/01\/1522660691Bayes_M14_Page_59-65x48.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2019\/01\/1522660691Bayes_M14_Page_59-225x165.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2019\/01\/1522660691Bayes_M14_Page_59-350x256.jpg 350w\" sizes=\"auto, (max-width: 1512px) 100vw, 1512px\" \/><\/p>\n<p><strong>Reference<\/strong><\/p>\n<ol>\n<li style=\"text-align: justify\">Beayesian Data Analysis\u201d, 3rd Edition, By Andrew Gelman, John B. Carlin, Hal S. Stern, David B. Dunson, Aki Vehtari and Donald B. Rubin.<\/li>\n<li style=\"text-align: justify\">Bayesian Statistics: An Introduction\u201d, By Peter Lee, 4th Edition, ISBN: 978-1-118-33257-3.<\/li>\n<li style=\"text-align: justify\">Monte Carlo Statistical Methods, By Robert, Christian P. and George Casella. 2004. , 2nd edition. Springer.<\/li>\n<li style=\"text-align: justify\">MCMCpack: Markov Chain Monte Carlo in R.\u201d, (2011), Andrew D. Martin, Kevin M. Quinn, and Jong HeePark,Journal of Statistical Software. 42(9): 1-21.<\/li>\n<li style=\"text-align: justify\">Applied Bayesian Modeling\u201d By Peter Congdon, 2nd Edition,Wiley,. ISBN: 978-1-119-95151-3<\/li>\n<li style=\"text-align: justify\">Bayes Linear Statistics, Theory Methods\u201d. By Goldstein,Michael; Woo, David (2007). Wiley. ISBN978-0-470-01562-9.<\/li>\n<li style=\"text-align: justify\">Hosmer, D.W. and Lemeshow, S. (1989) Applied Logistic Regression. New York: Wiley.<\/li>\n<li style=\"text-align: justify\">Venables, W. N. and Ripley, B. D. (2002) Modern Applied Statistics with S. Fourth edition. Springer.<\/li>\n<li style=\"text-align: justify\">Albert, J. H. and S. Chib. 1993. \\Bayesian Analysis of Binaryand Polychotomous Response Data.\u201dJ. Amer. Statist. Assoc.88, 669-679.<\/li>\n<li style=\"text-align: justify\">Albert, J. H. and S. Chib. 1995. \\Bayesian Residual Analysisfor Binary Response Regression Models.\u201d Biometrika. 82,747-759.<\/li>\n<li style=\"text-align: justify\">Andrew D. Martin, Kevin M. Quinn, and Jong Hee Park.2011. \u201cMCMCpack: Markov Chain Monte Carlo in R.\u201d,Journal of Statistical Software. 42(9): 1-21. http:\/\/www.jstatsoft.org\/v42\/i09\/I<\/li>\n<li style=\"text-align: justify\">Siddhartha Chib. 1995. \\ Marginal Likelihood from the Gibbs Output.\u201d Journal of the American Statistical Association.90:1313-1321.<\/li>\n<\/ol>\n","protected":false},"author":4,"menu_order":14,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":["dr-sourish-das"],"pb_section_license":""},"chapter-type":[],"contributor":[58],"license":[],"class_list":["post-490","chapter","type-chapter","status-publish","hentry","contributor-dr-sourish-das"],"part":3,"_links":{"self":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-json\/pressbooks\/v2\/chapters\/490","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-json\/wp\/v2\/users\/4"}],"version-history":[{"count":1,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-json\/pressbooks\/v2\/chapters\/490\/revisions"}],"predecessor-version":[{"id":506,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-json\/pressbooks\/v2\/chapters\/490\/revisions\/506"}],"part":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-json\/pressbooks\/v2\/parts\/3"}],"metadata":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-json\/pressbooks\/v2\/chapters\/490\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-json\/wp\/v2\/media?parent=490"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-json\/pressbooks\/v2\/chapter-type?post=490"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-json\/wp\/v2\/contributor?post=490"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-json\/wp\/v2\/license?post=490"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}