{"id":223,"date":"2019-01-01T04:33:16","date_gmt":"2019-01-01T04:33:16","guid":{"rendered":"http:\/\/statp12.epgpbooks.inflibnet.ac.in\/?post_type=chapter&#038;p=223"},"modified":"2019-01-01T04:33:37","modified_gmt":"2019-01-01T04:33:37","slug":"marginal-models-for-longitudinaldata-analysis-1","status":"publish","type":"chapter","link":"https:\/\/ebooks.inflibnet.ac.in\/statp12\/chapter\/marginal-models-for-longitudinaldata-analysis-1\/","title":{"rendered":"Marginal Models for LongitudinalData Analysis-1"},"content":{"raw":"<div><\/div>\r\n<div><img class=\"aligncenter size-full wp-image-224\" src=\"http:\/\/statp12.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/140\/2019\/01\/9493_et_longitudinal_10_marginal_model_1-03.jpg\" alt=\"\" width=\"612\" height=\"231\" \/> <img class=\"aligncenter size-full wp-image-225\" src=\"http:\/\/statp12.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/140\/2019\/01\/9493_et_longitudinal_10_marginal_model_1-04.jpg\" alt=\"\" width=\"705\" height=\"450\" \/> <img class=\"aligncenter size-full wp-image-226\" src=\"http:\/\/statp12.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/140\/2019\/01\/9493_et_longitudinal_10_marginal_model_1-05.jpg\" alt=\"\" width=\"872\" height=\"526\" \/> <img class=\"aligncenter size-full wp-image-227\" src=\"http:\/\/statp12.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/140\/2019\/01\/9493_et_longitudinal_10_marginal_model_1-06.jpg\" alt=\"\" width=\"853\" height=\"317\" \/> <img class=\"aligncenter size-full wp-image-228\" src=\"http:\/\/statp12.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/140\/2019\/01\/9493_et_longitudinal_10_marginal_model_1-07.jpg\" alt=\"\" width=\"881\" height=\"462\" \/> <img class=\"aligncenter size-full wp-image-229\" src=\"http:\/\/statp12.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/140\/2019\/01\/9493_et_longitudinal_10_marginal_model_1-08.jpg\" alt=\"\" width=\"869\" height=\"389\" \/> <img class=\"aligncenter size-full wp-image-230\" src=\"http:\/\/statp12.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/140\/2019\/01\/9493_et_longitudinal_10_marginal_model_1-09.jpg\" alt=\"\" width=\"825\" height=\"414\" \/> <img class=\"aligncenter size-full wp-image-231\" src=\"http:\/\/statp12.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/140\/2019\/01\/9493_et_longitudinal_10_marginal_model_1-10.jpg\" alt=\"\" width=\"849\" height=\"384\" \/> <img class=\"aligncenter size-full wp-image-232\" src=\"http:\/\/statp12.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/140\/2019\/01\/9493_et_longitudinal_10_marginal_model_1-11.jpg\" alt=\"\" width=\"647\" height=\"352\" \/> <img class=\"aligncenter size-full wp-image-233\" src=\"http:\/\/statp12.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/140\/2019\/01\/9493_et_longitudinal_10_marginal_model_1-12.jpg\" alt=\"\" width=\"669\" height=\"310\" \/> <img class=\"aligncenter size-full wp-image-234\" src=\"http:\/\/statp12.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/140\/2019\/01\/9493_et_longitudinal_10_marginal_model_1-13.jpg\" alt=\"\" width=\"677\" height=\"345\" \/> <img class=\"aligncenter size-full wp-image-235\" src=\"http:\/\/statp12.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/140\/2019\/01\/9493_et_longitudinal_10_marginal_model_1-14.jpg\" alt=\"\" width=\"799\" height=\"422\" \/> <img class=\"aligncenter size-full wp-image-236\" src=\"http:\/\/statp12.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/140\/2019\/01\/9493_et_longitudinal_10_marginal_model_1-15.jpg\" alt=\"\" width=\"859\" height=\"322\" \/> <img class=\"aligncenter size-full wp-image-237\" src=\"http:\/\/statp12.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/140\/2019\/01\/9493_et_longitudinal_10_marginal_model_1-16.jpg\" alt=\"\" width=\"858\" height=\"575\" \/><\/div>\r\n<div><\/div>\r\n<div>References<\/div>\r\n<div><\/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<\/ul>","rendered":"<div><\/div>\n<div><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-224\" src=\"http:\/\/statp12.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/140\/2019\/01\/9493_et_longitudinal_10_marginal_model_1-03.jpg\" alt=\"\" width=\"612\" height=\"231\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9493_et_longitudinal_10_marginal_model_1-03.jpg 612w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9493_et_longitudinal_10_marginal_model_1-03-300x113.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9493_et_longitudinal_10_marginal_model_1-03-65x25.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9493_et_longitudinal_10_marginal_model_1-03-225x85.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9493_et_longitudinal_10_marginal_model_1-03-350x132.jpg 350w\" sizes=\"auto, (max-width: 612px) 100vw, 612px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-225\" src=\"http:\/\/statp12.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/140\/2019\/01\/9493_et_longitudinal_10_marginal_model_1-04.jpg\" alt=\"\" width=\"705\" height=\"450\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9493_et_longitudinal_10_marginal_model_1-04.jpg 705w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9493_et_longitudinal_10_marginal_model_1-04-300x191.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9493_et_longitudinal_10_marginal_model_1-04-65x41.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9493_et_longitudinal_10_marginal_model_1-04-225x144.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9493_et_longitudinal_10_marginal_model_1-04-350x223.jpg 350w\" sizes=\"auto, (max-width: 705px) 100vw, 705px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-226\" src=\"http:\/\/statp12.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/140\/2019\/01\/9493_et_longitudinal_10_marginal_model_1-05.jpg\" alt=\"\" width=\"872\" height=\"526\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9493_et_longitudinal_10_marginal_model_1-05.jpg 872w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9493_et_longitudinal_10_marginal_model_1-05-300x181.jpg 300w, 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https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9493_et_longitudinal_10_marginal_model_1-13-300x153.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9493_et_longitudinal_10_marginal_model_1-13-65x33.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9493_et_longitudinal_10_marginal_model_1-13-225x115.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9493_et_longitudinal_10_marginal_model_1-13-350x178.jpg 350w\" sizes=\"auto, (max-width: 677px) 100vw, 677px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-235\" src=\"http:\/\/statp12.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/140\/2019\/01\/9493_et_longitudinal_10_marginal_model_1-14.jpg\" alt=\"\" width=\"799\" height=\"422\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9493_et_longitudinal_10_marginal_model_1-14.jpg 799w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9493_et_longitudinal_10_marginal_model_1-14-300x158.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9493_et_longitudinal_10_marginal_model_1-14-768x406.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9493_et_longitudinal_10_marginal_model_1-14-65x34.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9493_et_longitudinal_10_marginal_model_1-14-225x119.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9493_et_longitudinal_10_marginal_model_1-14-350x185.jpg 350w\" sizes=\"auto, (max-width: 799px) 100vw, 799px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-236\" src=\"http:\/\/statp12.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/140\/2019\/01\/9493_et_longitudinal_10_marginal_model_1-15.jpg\" alt=\"\" width=\"859\" height=\"322\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9493_et_longitudinal_10_marginal_model_1-15.jpg 859w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9493_et_longitudinal_10_marginal_model_1-15-300x112.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9493_et_longitudinal_10_marginal_model_1-15-768x288.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9493_et_longitudinal_10_marginal_model_1-15-65x24.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9493_et_longitudinal_10_marginal_model_1-15-225x84.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9493_et_longitudinal_10_marginal_model_1-15-350x131.jpg 350w\" sizes=\"auto, (max-width: 859px) 100vw, 859px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-237\" src=\"http:\/\/statp12.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/140\/2019\/01\/9493_et_longitudinal_10_marginal_model_1-16.jpg\" alt=\"\" width=\"858\" height=\"575\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9493_et_longitudinal_10_marginal_model_1-16.jpg 858w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9493_et_longitudinal_10_marginal_model_1-16-300x201.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9493_et_longitudinal_10_marginal_model_1-16-768x515.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9493_et_longitudinal_10_marginal_model_1-16-65x44.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9493_et_longitudinal_10_marginal_model_1-16-225x151.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9493_et_longitudinal_10_marginal_model_1-16-350x235.jpg 350w\" sizes=\"auto, (max-width: 858px) 100vw, 858px\" \/><\/div>\n<div><\/div>\n<div>References<\/div>\n<div><\/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<\/ul>\n","protected":false},"author":3,"menu_order":10,"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-223","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\/223","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":1,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-json\/pressbooks\/v2\/chapters\/223\/revisions"}],"predecessor-version":[{"id":238,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-json\/pressbooks\/v2\/chapters\/223\/revisions\/238"}],"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\/223\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-json\/wp\/v2\/media?parent=223"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-json\/pressbooks\/v2\/chapter-type?post=223"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-json\/wp\/v2\/contributor?post=223"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-json\/wp\/v2\/license?post=223"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}