{"id":209,"date":"2019-01-01T04:31:19","date_gmt":"2019-01-01T04:31:19","guid":{"rendered":"http:\/\/statp12.epgpbooks.inflibnet.ac.in\/?post_type=chapter&#038;p=209"},"modified":"2019-01-01T04:31:47","modified_gmt":"2019-01-01T04:31:47","slug":"linear-mixed-model-for-longitudinaldata-analysis-3","status":"publish","type":"chapter","link":"https:\/\/ebooks.inflibnet.ac.in\/statp12\/chapter\/linear-mixed-model-for-longitudinaldata-analysis-3\/","title":{"rendered":"Linear Mixed Model for LongitudinalData Analysis-3"},"content":{"raw":"<div><\/div>\r\n<div>\u00a0<img class=\"aligncenter size-full wp-image-210\" src=\"http:\/\/statp12.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/140\/2019\/01\/9492_et_longitudinal_9_linear_mixed_model_3-03.jpg\" alt=\"\" width=\"685\" height=\"321\" \/> <img class=\"aligncenter size-full wp-image-211\" src=\"http:\/\/statp12.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/140\/2019\/01\/9492_et_longitudinal_9_linear_mixed_model_3-04.jpg\" alt=\"\" width=\"812\" height=\"417\" \/> <img class=\"aligncenter size-full wp-image-212\" src=\"http:\/\/statp12.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/140\/2019\/01\/9492_et_longitudinal_9_linear_mixed_model_3-05.jpg\" alt=\"\" width=\"858\" height=\"675\" \/> <img class=\"aligncenter size-full wp-image-213\" src=\"http:\/\/statp12.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/140\/2019\/01\/9492_et_longitudinal_9_linear_mixed_model_3-06.jpg\" alt=\"\" width=\"876\" height=\"394\" \/> <img class=\"aligncenter size-full wp-image-214\" src=\"http:\/\/statp12.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/140\/2019\/01\/9492_et_longitudinal_9_linear_mixed_model_3-07.jpg\" alt=\"\" width=\"908\" height=\"659\" \/> <img class=\"aligncenter size-full wp-image-215\" src=\"http:\/\/statp12.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/140\/2019\/01\/9492_et_longitudinal_9_linear_mixed_model_3-08.jpg\" alt=\"\" width=\"857\" height=\"219\" \/> <img class=\"aligncenter size-full wp-image-216\" src=\"http:\/\/statp12.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/140\/2019\/01\/9492_et_longitudinal_9_linear_mixed_model_3-09.jpg\" alt=\"\" width=\"619\" height=\"675\" \/> <img class=\"aligncenter size-full wp-image-217\" src=\"http:\/\/statp12.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/140\/2019\/01\/9492_et_longitudinal_9_linear_mixed_model_3-10.jpg\" alt=\"\" width=\"749\" height=\"423\" \/> <img class=\"aligncenter size-full wp-image-218\" src=\"http:\/\/statp12.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/140\/2019\/01\/9492_et_longitudinal_9_linear_mixed_model_3-11.jpg\" alt=\"\" width=\"911\" height=\"403\" \/> <img class=\"aligncenter size-full wp-image-219\" src=\"http:\/\/statp12.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/140\/2019\/01\/9492_et_longitudinal_9_linear_mixed_model_3-12.jpg\" alt=\"\" width=\"837\" height=\"410\" \/> <img class=\"aligncenter size-full wp-image-220\" src=\"http:\/\/statp12.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/140\/2019\/01\/9492_et_longitudinal_9_linear_mixed_model_3-13.jpg\" alt=\"\" width=\"857\" height=\"670\" \/> <img class=\"aligncenter size-full wp-image-221\" src=\"http:\/\/statp12.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/140\/2019\/01\/9492_et_longitudinal_9_linear_mixed_model_3-14.jpg\" alt=\"\" width=\"483\" height=\"435\" \/><\/div>\r\n<div>\u00a0 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:9<\/li>\r\n \t<li style=\"text-align: justify\">J.C. Pinhero, D.M. Bates, (2000). Mixed eects model in S and Splus. Springer, Ch:1:4<\/li>\r\n<\/ul>","rendered":"<div><\/div>\n<div>\u00a0<img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-210\" src=\"http:\/\/statp12.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/140\/2019\/01\/9492_et_longitudinal_9_linear_mixed_model_3-03.jpg\" alt=\"\" width=\"685\" height=\"321\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9492_et_longitudinal_9_linear_mixed_model_3-03.jpg 685w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9492_et_longitudinal_9_linear_mixed_model_3-03-300x141.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9492_et_longitudinal_9_linear_mixed_model_3-03-65x30.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9492_et_longitudinal_9_linear_mixed_model_3-03-225x105.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9492_et_longitudinal_9_linear_mixed_model_3-03-350x164.jpg 350w\" sizes=\"auto, (max-width: 685px) 100vw, 685px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-211\" src=\"http:\/\/statp12.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/140\/2019\/01\/9492_et_longitudinal_9_linear_mixed_model_3-04.jpg\" alt=\"\" width=\"812\" height=\"417\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9492_et_longitudinal_9_linear_mixed_model_3-04.jpg 812w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9492_et_longitudinal_9_linear_mixed_model_3-04-300x154.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9492_et_longitudinal_9_linear_mixed_model_3-04-768x394.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9492_et_longitudinal_9_linear_mixed_model_3-04-65x33.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9492_et_longitudinal_9_linear_mixed_model_3-04-225x116.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9492_et_longitudinal_9_linear_mixed_model_3-04-350x180.jpg 350w\" sizes=\"auto, (max-width: 812px) 100vw, 812px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-212\" src=\"http:\/\/statp12.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/140\/2019\/01\/9492_et_longitudinal_9_linear_mixed_model_3-05.jpg\" alt=\"\" width=\"858\" height=\"675\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9492_et_longitudinal_9_linear_mixed_model_3-05.jpg 858w, 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loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-217\" src=\"http:\/\/statp12.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/140\/2019\/01\/9492_et_longitudinal_9_linear_mixed_model_3-10.jpg\" alt=\"\" width=\"749\" height=\"423\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9492_et_longitudinal_9_linear_mixed_model_3-10.jpg 749w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9492_et_longitudinal_9_linear_mixed_model_3-10-300x169.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9492_et_longitudinal_9_linear_mixed_model_3-10-65x37.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9492_et_longitudinal_9_linear_mixed_model_3-10-225x127.jpg 225w, 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src=\"http:\/\/statp12.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/140\/2019\/01\/9492_et_longitudinal_9_linear_mixed_model_3-13.jpg\" alt=\"\" width=\"857\" height=\"670\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9492_et_longitudinal_9_linear_mixed_model_3-13.jpg 857w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9492_et_longitudinal_9_linear_mixed_model_3-13-300x235.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9492_et_longitudinal_9_linear_mixed_model_3-13-768x600.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9492_et_longitudinal_9_linear_mixed_model_3-13-65x51.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9492_et_longitudinal_9_linear_mixed_model_3-13-225x176.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9492_et_longitudinal_9_linear_mixed_model_3-13-350x274.jpg 350w\" sizes=\"auto, (max-width: 857px) 100vw, 857px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-221\" src=\"http:\/\/statp12.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/140\/2019\/01\/9492_et_longitudinal_9_linear_mixed_model_3-14.jpg\" alt=\"\" width=\"483\" height=\"435\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9492_et_longitudinal_9_linear_mixed_model_3-14.jpg 483w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9492_et_longitudinal_9_linear_mixed_model_3-14-300x270.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9492_et_longitudinal_9_linear_mixed_model_3-14-65x59.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9492_et_longitudinal_9_linear_mixed_model_3-14-225x203.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9492_et_longitudinal_9_linear_mixed_model_3-14-350x315.jpg 350w\" sizes=\"auto, (max-width: 483px) 100vw, 483px\" \/><\/div>\n<div>\u00a0 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:9<\/li>\n<li style=\"text-align: justify\">J.C. Pinhero, D.M. Bates, (2000). Mixed eects model in S and Splus. Springer, Ch:1:4<\/li>\n<\/ul>\n","protected":false},"author":3,"menu_order":9,"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-209","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\/209","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\/209\/revisions"}],"predecessor-version":[{"id":222,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-json\/pressbooks\/v2\/chapters\/209\/revisions\/222"}],"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\/209\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-json\/wp\/v2\/media?parent=209"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-json\/pressbooks\/v2\/chapter-type?post=209"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-json\/wp\/v2\/contributor?post=209"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-json\/wp\/v2\/license?post=209"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}