{"id":507,"date":"2019-01-02T10:50:30","date_gmt":"2019-01-02T10:50:30","guid":{"rendered":"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/?post_type=chapter&#038;p=507"},"modified":"2019-01-02T10:50:30","modified_gmt":"2019-01-02T10:50:30","slug":"advanced-hierarchical-models-part-1","status":"publish","type":"chapter","link":"https:\/\/ebooks.inflibnet.ac.in\/statp06\/chapter\/advanced-hierarchical-models-part-1\/","title":{"rendered":"Advanced Hierarchical Models &#8211; Part 1"},"content":{"raw":"<img class=\"aligncenter size-full wp-image-508\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2019\/01\/1522660721Bayes_M15_Page_04.jpg\" alt=\"\" width=\"1509\" height=\"469\" \/> <img class=\"aligncenter size-full wp-image-509\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2019\/01\/1522660721Bayes_M15_Page_08.jpg\" alt=\"\" width=\"1510\" height=\"1098\" \/> <img class=\"aligncenter size-full wp-image-510\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2019\/01\/1522660721Bayes_M15_Page_15.jpg\" alt=\"\" width=\"1512\" height=\"1106\" \/> <img class=\"aligncenter size-full wp-image-511\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2019\/01\/1522660721Bayes_M15_Page_16.jpg\" alt=\"\" width=\"1506\" height=\"974\" \/> <img class=\"aligncenter size-full wp-image-512\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2019\/01\/1522660721Bayes_M15_Page_17.jpg\" alt=\"\" width=\"1512\" height=\"1108\" \/> <img class=\"aligncenter size-full wp-image-513\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2019\/01\/1522660721Bayes_M15_Page_21.jpg\" alt=\"\" width=\"1509\" height=\"875\" \/> <img class=\"aligncenter size-full wp-image-514\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2019\/01\/1522660721Bayes_M15_Page_30.jpg\" alt=\"\" width=\"1512\" height=\"1102\" \/> <img class=\"aligncenter size-full wp-image-515\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2019\/01\/1522660721Bayes_M15_Page_34.jpg\" alt=\"\" width=\"1510\" height=\"1104\" \/> <img class=\"aligncenter size-full wp-image-516\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2019\/01\/1522660721Bayes_M15_Page_37.jpg\" alt=\"\" width=\"1509\" height=\"839\" \/> <img class=\"aligncenter size-full wp-image-517\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2019\/01\/1522660721Bayes_M15_Page_38.jpg\" alt=\"\" width=\"1510\" height=\"1066\" \/> <img class=\"aligncenter size-full wp-image-518\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2019\/01\/1522660721Bayes_M15_Page_39.jpg\" alt=\"\" width=\"1511\" height=\"757\" \/> <img class=\"aligncenter size-full wp-image-519\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2019\/01\/1522660721Bayes_M15_Page_40.jpg\" alt=\"\" width=\"1511\" height=\"753\" \/> <img class=\"aligncenter size-full wp-image-520\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2019\/01\/1522660721Bayes_M15_Page_43.jpg\" alt=\"\" width=\"1511\" height=\"999\" \/> <img class=\"aligncenter size-full wp-image-521\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2019\/01\/1522660721Bayes_M15_Page_46.jpg\" alt=\"\" width=\"1509\" height=\"967\" \/> <img class=\"aligncenter size-full wp-image-522\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2019\/01\/1522660721Bayes_M15_Page_48.jpg\" alt=\"\" width=\"1511\" height=\"537\" \/> <img class=\"aligncenter size-full wp-image-523\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2019\/01\/1522660721Bayes_M15_Page_51.jpg\" alt=\"\" width=\"1510\" height=\"1070\" \/> <img class=\"aligncenter size-full wp-image-524\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2019\/01\/1522660721Bayes_M15_Page_53.jpg\" alt=\"\" width=\"1509\" height=\"665\" \/> <img class=\"aligncenter size-full wp-image-525\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2019\/01\/1522660721Bayes_M15_Page_54.jpg\" alt=\"\" width=\"1511\" height=\"413\" \/> <img class=\"aligncenter size-full wp-image-526\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2019\/01\/1522660721Bayes_M15_Page_55.jpg\" alt=\"\" width=\"1511\" height=\"831\" \/> <img class=\"aligncenter size-full wp-image-527\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2019\/01\/1522660721Bayes_M15_Page_56.jpg\" alt=\"\" width=\"1508\" height=\"976\" \/> <img class=\"aligncenter size-full wp-image-528\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2019\/01\/1522660721Bayes_M15_Page_60.jpg\" alt=\"\" width=\"1511\" height=\"893\" \/>\r\n\r\n&nbsp;\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. andGeorge 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 LogisticRegression. New York: Wiley.<\/li>\r\n \t<li style=\"text-align: justify\">Venables, W. N. and Ripley, B. D. (2002) Modern AppliedStatistics 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 GibbsOutput.\u201dJournal of the American Statistical Association.90:1313-1321.<\/li>\r\n \t<li style=\"text-align: justify\">\r\n<div>Peter E. Rossi, Greg M. Allenby and Rob McCulloch, Bayesian Statistics and Marketing (2005), Wiley-Interscience, New York, NY.<\/div><\/li>\r\n \t<li style=\"text-align: justify\">Adelino F. da Silva, cudaBayesreg: Bayesian Computation inCUDA (2010), The R Journal, Vol. 2\/2, 48-55.http:\/\/journal.r-project.org\/archive\/2010-2\/RJournal_2010-2_FerreiradaSilva.pdf8 \/ 8<\/li>\r\n<\/ol>","rendered":"<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-508\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2019\/01\/1522660721Bayes_M15_Page_04.jpg\" alt=\"\" width=\"1509\" height=\"469\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2019\/01\/1522660721Bayes_M15_Page_04.jpg 1509w, https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2019\/01\/1522660721Bayes_M15_Page_04-300x93.jpg 300w, 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src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2019\/01\/1522660721Bayes_M15_Page_56.jpg\" alt=\"\" width=\"1508\" height=\"976\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2019\/01\/1522660721Bayes_M15_Page_56.jpg 1508w, https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2019\/01\/1522660721Bayes_M15_Page_56-300x194.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2019\/01\/1522660721Bayes_M15_Page_56-768x497.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2019\/01\/1522660721Bayes_M15_Page_56-1024x663.jpg 1024w, https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2019\/01\/1522660721Bayes_M15_Page_56-65x42.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2019\/01\/1522660721Bayes_M15_Page_56-225x146.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2019\/01\/1522660721Bayes_M15_Page_56-350x227.jpg 350w\" sizes=\"auto, (max-width: 1508px) 100vw, 1508px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-528\" src=\"http:\/\/statp06.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/133\/2019\/01\/1522660721Bayes_M15_Page_60.jpg\" alt=\"\" width=\"1511\" height=\"893\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2019\/01\/1522660721Bayes_M15_Page_60.jpg 1511w, https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2019\/01\/1522660721Bayes_M15_Page_60-300x177.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2019\/01\/1522660721Bayes_M15_Page_60-768x454.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2019\/01\/1522660721Bayes_M15_Page_60-1024x605.jpg 1024w, https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2019\/01\/1522660721Bayes_M15_Page_60-65x38.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2019\/01\/1522660721Bayes_M15_Page_60-225x133.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-content\/uploads\/sites\/133\/2019\/01\/1522660721Bayes_M15_Page_60-350x207.jpg 350w\" sizes=\"auto, (max-width: 1511px) 100vw, 1511px\" \/><\/p>\n<p>&nbsp;<\/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. andGeorge 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 LogisticRegression. New York: Wiley.<\/li>\n<li style=\"text-align: justify\">Venables, W. N. and Ripley, B. D. (2002) Modern AppliedStatistics 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 GibbsOutput.\u201dJournal of the American Statistical Association.90:1313-1321.<\/li>\n<li style=\"text-align: justify\">\n<div>Peter E. Rossi, Greg M. Allenby and Rob McCulloch, Bayesian Statistics and Marketing (2005), Wiley-Interscience, New York, NY.<\/div>\n<\/li>\n<li style=\"text-align: justify\">Adelino F. da Silva, cudaBayesreg: Bayesian Computation inCUDA (2010), The R Journal, Vol. 2\/2, 48-55.http:\/\/journal.r-project.org\/archive\/2010-2\/RJournal_2010-2_FerreiradaSilva.pdf8 \/ 8<\/li>\n<\/ol>\n","protected":false},"author":4,"menu_order":15,"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-507","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\/507","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\/507\/revisions"}],"predecessor-version":[{"id":529,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-json\/pressbooks\/v2\/chapters\/507\/revisions\/529"}],"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\/507\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-json\/wp\/v2\/media?parent=507"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-json\/pressbooks\/v2\/chapter-type?post=507"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-json\/wp\/v2\/contributor?post=507"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp06\/wp-json\/wp\/v2\/license?post=507"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}