{"id":239,"date":"2019-01-01T04:36:50","date_gmt":"2019-01-01T04:36:50","guid":{"rendered":"http:\/\/statp12.epgpbooks.inflibnet.ac.in\/?post_type=chapter&#038;p=239"},"modified":"2019-01-01T04:38:32","modified_gmt":"2019-01-01T04:38:32","slug":"marginal-models-for-longitudinaldata-analysis-2","status":"publish","type":"chapter","link":"https:\/\/ebooks.inflibnet.ac.in\/statp12\/chapter\/marginal-models-for-longitudinaldata-analysis-2\/","title":{"rendered":"Marginal Models for LongitudinalData Analysis-2"},"content":{"raw":"<div><img class=\"aligncenter size-full wp-image-274\" src=\"http:\/\/statp12.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/140\/2019\/01\/9494_et_longitudinal_11_marginal_model_2-03-2.jpg\" alt=\"\" width=\"537\" height=\"185\" \/> <img class=\"aligncenter size-full wp-image-275\" src=\"http:\/\/statp12.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/140\/2019\/01\/9494_et_longitudinal_11_marginal_model_2-04-2.jpg\" alt=\"\" width=\"880\" height=\"488\" \/> <img class=\"aligncenter size-full wp-image-276\" src=\"http:\/\/statp12.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/140\/2019\/01\/9494_et_longitudinal_11_marginal_model_2-05-2.jpg\" alt=\"\" width=\"498\" height=\"569\" \/> <img class=\"aligncenter size-full wp-image-277\" src=\"http:\/\/statp12.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/140\/2019\/01\/9494_et_longitudinal_11_marginal_model_2-06-2.jpg\" alt=\"\" width=\"940\" height=\"632\" \/> <img class=\"aligncenter size-full wp-image-278\" src=\"http:\/\/statp12.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/140\/2019\/01\/9494_et_longitudinal_11_marginal_model_2-07-2.jpg\" alt=\"\" width=\"632\" height=\"471\" \/> <img class=\"aligncenter size-full wp-image-279\" src=\"http:\/\/statp12.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/140\/2019\/01\/9494_et_longitudinal_11_marginal_model_2-08-2.jpg\" alt=\"\" width=\"956\" height=\"506\" \/> <img class=\"aligncenter size-full wp-image-280\" src=\"http:\/\/statp12.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/140\/2019\/01\/9494_et_longitudinal_11_marginal_model_2-09-2.jpg\" alt=\"\" width=\"930\" height=\"673\" \/> <img class=\"aligncenter size-full wp-image-281\" src=\"http:\/\/statp12.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/140\/2019\/01\/9494_et_longitudinal_11_marginal_model_2-10-2.jpg\" alt=\"\" width=\"914\" height=\"306\" \/> <img class=\"aligncenter size-full wp-image-282\" src=\"http:\/\/statp12.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/140\/2019\/01\/9494_et_longitudinal_11_marginal_model_2-11-2.jpg\" alt=\"\" width=\"915\" height=\"221\" \/> <img class=\"aligncenter size-full wp-image-283\" src=\"http:\/\/statp12.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/140\/2019\/01\/9494_et_longitudinal_11_marginal_model_2-12-2.jpg\" alt=\"\" width=\"866\" height=\"575\" \/> <img class=\"aligncenter size-full wp-image-284\" src=\"http:\/\/statp12.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/140\/2019\/01\/9494_et_longitudinal_11_marginal_model_2-13-2.jpg\" alt=\"\" width=\"848\" height=\"480\" \/> <img class=\"aligncenter size-full wp-image-285\" src=\"http:\/\/statp12.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/140\/2019\/01\/9494_et_longitudinal_11_marginal_model_2-14-2.jpg\" alt=\"\" width=\"797\" height=\"422\" \/> <img class=\"aligncenter size-full wp-image-286\" src=\"http:\/\/statp12.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/140\/2019\/01\/9494_et_longitudinal_11_marginal_model_2-15-2.jpg\" alt=\"\" width=\"949\" height=\"410\" \/> <img class=\"aligncenter size-full wp-image-287\" src=\"http:\/\/statp12.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/140\/2019\/01\/9494_et_longitudinal_11_marginal_model_2-16-2.jpg\" alt=\"\" width=\"749\" height=\"451\" \/> <img class=\"aligncenter size-full wp-image-288\" src=\"http:\/\/statp12.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/140\/2019\/01\/9494_et_longitudinal_11_marginal_model_2-17-2.jpg\" alt=\"\" width=\"842\" height=\"217\" \/> <img class=\"aligncenter size-full wp-image-289\" src=\"http:\/\/statp12.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/140\/2019\/01\/9494_et_longitudinal_11_marginal_model_2-18-2.jpg\" alt=\"\" width=\"862\" height=\"600\" \/><\/div>\r\n<div><\/div>\r\n<div><\/div>\r\n<div>References<\/div>\r\n<ul>\r\n \t<li style=\"text-align: justify\">P. Diggle, P.Heagerty, K.Y. Liang, S. Zeger, (2002). Analysis of longitudinal data. Oxford University Press, Ch:8<\/li>\r\n \t<li style=\"text-align: justify\">https:\/\/cran.r-project.org\/web\/packages\/gee\/gee.pdf<\/li>\r\n \t<li style=\"text-align: justify\"><\/li>\r\n<\/ul>","rendered":"<div><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-274\" src=\"http:\/\/statp12.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/140\/2019\/01\/9494_et_longitudinal_11_marginal_model_2-03-2.jpg\" alt=\"\" width=\"537\" height=\"185\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9494_et_longitudinal_11_marginal_model_2-03-2.jpg 537w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9494_et_longitudinal_11_marginal_model_2-03-2-300x103.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9494_et_longitudinal_11_marginal_model_2-03-2-65x22.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9494_et_longitudinal_11_marginal_model_2-03-2-225x78.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9494_et_longitudinal_11_marginal_model_2-03-2-350x121.jpg 350w\" sizes=\"auto, (max-width: 537px) 100vw, 537px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-275\" src=\"http:\/\/statp12.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/140\/2019\/01\/9494_et_longitudinal_11_marginal_model_2-04-2.jpg\" alt=\"\" width=\"880\" height=\"488\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9494_et_longitudinal_11_marginal_model_2-04-2.jpg 880w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9494_et_longitudinal_11_marginal_model_2-04-2-300x166.jpg 300w, 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https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9494_et_longitudinal_11_marginal_model_2-17-2-225x58.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9494_et_longitudinal_11_marginal_model_2-17-2-350x90.jpg 350w\" sizes=\"auto, (max-width: 842px) 100vw, 842px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-289\" src=\"http:\/\/statp12.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/140\/2019\/01\/9494_et_longitudinal_11_marginal_model_2-18-2.jpg\" alt=\"\" width=\"862\" height=\"600\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9494_et_longitudinal_11_marginal_model_2-18-2.jpg 862w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9494_et_longitudinal_11_marginal_model_2-18-2-300x209.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9494_et_longitudinal_11_marginal_model_2-18-2-768x535.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9494_et_longitudinal_11_marginal_model_2-18-2-65x45.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9494_et_longitudinal_11_marginal_model_2-18-2-225x157.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9494_et_longitudinal_11_marginal_model_2-18-2-350x244.jpg 350w\" sizes=\"auto, (max-width: 862px) 100vw, 862px\" \/><\/div>\n<div><\/div>\n<div><\/div>\n<div>References<\/div>\n<ul>\n<li style=\"text-align: justify\">P. Diggle, P.Heagerty, K.Y. Liang, S. Zeger, (2002). Analysis of longitudinal data. Oxford University Press, Ch:8<\/li>\n<li style=\"text-align: justify\">https:\/\/cran.r-project.org\/web\/packages\/gee\/gee.pdf<\/li>\n<li style=\"text-align: justify\"><\/li>\n<\/ul>\n","protected":false},"author":3,"menu_order":11,"template":"","meta":{"_acf_changed":false,"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":["souvik-kumar-bandyopadhyay"],"pb_section_license":""},"chapter-type":[],"contributor":[58],"license":[],"class_list":["post-239","chapter","type-chapter","status-publish","hentry","contributor-souvik-kumar-bandyopadhyay"],"part":3,"_links":{"self":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-json\/pressbooks\/v2\/chapters\/239","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-json\/wp\/v2\/users\/3"}],"version-history":[{"count":3,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-json\/pressbooks\/v2\/chapters\/239\/revisions"}],"predecessor-version":[{"id":290,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-json\/pressbooks\/v2\/chapters\/239\/revisions\/290"}],"part":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-json\/pressbooks\/v2\/parts\/3"}],"metadata":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-json\/pressbooks\/v2\/chapters\/239\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-json\/wp\/v2\/media?parent=239"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-json\/pressbooks\/v2\/chapter-type?post=239"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-json\/wp\/v2\/contributor?post=239"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-json\/wp\/v2\/license?post=239"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}