{"id":181,"date":"2019-01-01T04:26:39","date_gmt":"2019-01-01T04:26:39","guid":{"rendered":"http:\/\/statp12.epgpbooks.inflibnet.ac.in\/?post_type=chapter&#038;p=181"},"modified":"2019-01-01T04:27:17","modified_gmt":"2019-01-01T04:27:17","slug":"linear-mixed-model-for-longitudinaldata-analysis-1","status":"publish","type":"chapter","link":"https:\/\/ebooks.inflibnet.ac.in\/statp12\/chapter\/linear-mixed-model-for-longitudinaldata-analysis-1\/","title":{"rendered":"Linear Mixed Model for LongitudinalData Analysis-1"},"content":{"raw":"<div><\/div>\r\n<div><img class=\"aligncenter size-full wp-image-182\" src=\"http:\/\/statp12.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/140\/2019\/01\/9490_et_longitudinal_7_linear_mixed_model_1-03.jpg\" alt=\"\" width=\"535\" height=\"205\" \/> <img class=\"aligncenter size-full wp-image-183\" src=\"http:\/\/statp12.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/140\/2019\/01\/9490_et_longitudinal_7_linear_mixed_model_1-04.jpg\" alt=\"\" width=\"842\" height=\"499\" \/> <img class=\"aligncenter size-full wp-image-184\" src=\"http:\/\/statp12.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/140\/2019\/01\/9490_et_longitudinal_7_linear_mixed_model_1-05.jpg\" alt=\"\" width=\"857\" height=\"585\" \/> <img class=\"aligncenter size-full wp-image-185\" src=\"http:\/\/statp12.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/140\/2019\/01\/9490_et_longitudinal_7_linear_mixed_model_1-06.jpg\" alt=\"\" width=\"822\" height=\"225\" \/> <img class=\"aligncenter size-full wp-image-186\" src=\"http:\/\/statp12.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/140\/2019\/01\/9490_et_longitudinal_7_linear_mixed_model_1-07.jpg\" alt=\"\" width=\"891\" height=\"536\" \/> <img class=\"aligncenter size-full wp-image-187\" src=\"http:\/\/statp12.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/140\/2019\/01\/9490_et_longitudinal_7_linear_mixed_model_1-08.jpg\" alt=\"\" width=\"839\" height=\"524\" \/> <img class=\"aligncenter size-full wp-image-188\" src=\"http:\/\/statp12.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/140\/2019\/01\/9490_et_longitudinal_7_linear_mixed_model_1-09.jpg\" alt=\"\" width=\"843\" height=\"310\" \/> <img class=\"aligncenter size-full wp-image-189\" src=\"http:\/\/statp12.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/140\/2019\/01\/9490_et_longitudinal_7_linear_mixed_model_1-10.jpg\" alt=\"\" width=\"856\" height=\"660\" \/> <img class=\"aligncenter size-full wp-image-190\" src=\"http:\/\/statp12.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/140\/2019\/01\/9490_et_longitudinal_7_linear_mixed_model_1-11.jpg\" alt=\"\" width=\"843\" height=\"276\" \/> <img class=\"aligncenter size-full wp-image-191\" src=\"http:\/\/statp12.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/140\/2019\/01\/9490_et_longitudinal_7_linear_mixed_model_1-12.jpg\" alt=\"\" width=\"847\" height=\"393\" \/> <img class=\"aligncenter size-full wp-image-192\" src=\"http:\/\/statp12.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/140\/2019\/01\/9490_et_longitudinal_7_linear_mixed_model_1-13.jpg\" alt=\"\" width=\"800\" height=\"469\" \/> <img class=\"aligncenter size-full wp-image-193\" src=\"http:\/\/statp12.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/140\/2019\/01\/9490_et_longitudinal_7_linear_mixed_model_1-14.jpg\" alt=\"\" width=\"833\" height=\"422\" \/><\/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: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><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-182\" src=\"http:\/\/statp12.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/140\/2019\/01\/9490_et_longitudinal_7_linear_mixed_model_1-03.jpg\" alt=\"\" width=\"535\" height=\"205\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9490_et_longitudinal_7_linear_mixed_model_1-03.jpg 535w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9490_et_longitudinal_7_linear_mixed_model_1-03-300x115.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9490_et_longitudinal_7_linear_mixed_model_1-03-65x25.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9490_et_longitudinal_7_linear_mixed_model_1-03-225x86.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9490_et_longitudinal_7_linear_mixed_model_1-03-350x134.jpg 350w\" sizes=\"auto, (max-width: 535px) 100vw, 535px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-183\" src=\"http:\/\/statp12.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/140\/2019\/01\/9490_et_longitudinal_7_linear_mixed_model_1-04.jpg\" alt=\"\" width=\"842\" height=\"499\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9490_et_longitudinal_7_linear_mixed_model_1-04.jpg 842w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9490_et_longitudinal_7_linear_mixed_model_1-04-300x178.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9490_et_longitudinal_7_linear_mixed_model_1-04-768x455.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9490_et_longitudinal_7_linear_mixed_model_1-04-65x39.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9490_et_longitudinal_7_linear_mixed_model_1-04-225x133.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9490_et_longitudinal_7_linear_mixed_model_1-04-350x207.jpg 350w\" sizes=\"auto, (max-width: 842px) 100vw, 842px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-184\" src=\"http:\/\/statp12.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/140\/2019\/01\/9490_et_longitudinal_7_linear_mixed_model_1-05.jpg\" alt=\"\" width=\"857\" height=\"585\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9490_et_longitudinal_7_linear_mixed_model_1-05.jpg 857w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9490_et_longitudinal_7_linear_mixed_model_1-05-300x205.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9490_et_longitudinal_7_linear_mixed_model_1-05-768x524.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9490_et_longitudinal_7_linear_mixed_model_1-05-65x44.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9490_et_longitudinal_7_linear_mixed_model_1-05-225x154.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9490_et_longitudinal_7_linear_mixed_model_1-05-350x239.jpg 350w\" sizes=\"auto, (max-width: 857px) 100vw, 857px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-185\" src=\"http:\/\/statp12.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/140\/2019\/01\/9490_et_longitudinal_7_linear_mixed_model_1-06.jpg\" alt=\"\" width=\"822\" height=\"225\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9490_et_longitudinal_7_linear_mixed_model_1-06.jpg 822w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9490_et_longitudinal_7_linear_mixed_model_1-06-300x82.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9490_et_longitudinal_7_linear_mixed_model_1-06-768x210.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9490_et_longitudinal_7_linear_mixed_model_1-06-65x18.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9490_et_longitudinal_7_linear_mixed_model_1-06-225x62.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9490_et_longitudinal_7_linear_mixed_model_1-06-350x96.jpg 350w\" sizes=\"auto, (max-width: 822px) 100vw, 822px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-186\" src=\"http:\/\/statp12.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/140\/2019\/01\/9490_et_longitudinal_7_linear_mixed_model_1-07.jpg\" alt=\"\" width=\"891\" height=\"536\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9490_et_longitudinal_7_linear_mixed_model_1-07.jpg 891w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9490_et_longitudinal_7_linear_mixed_model_1-07-300x180.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9490_et_longitudinal_7_linear_mixed_model_1-07-768x462.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9490_et_longitudinal_7_linear_mixed_model_1-07-65x39.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9490_et_longitudinal_7_linear_mixed_model_1-07-225x135.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9490_et_longitudinal_7_linear_mixed_model_1-07-350x211.jpg 350w\" sizes=\"auto, (max-width: 891px) 100vw, 891px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-187\" src=\"http:\/\/statp12.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/140\/2019\/01\/9490_et_longitudinal_7_linear_mixed_model_1-08.jpg\" alt=\"\" width=\"839\" height=\"524\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9490_et_longitudinal_7_linear_mixed_model_1-08.jpg 839w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9490_et_longitudinal_7_linear_mixed_model_1-08-300x187.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9490_et_longitudinal_7_linear_mixed_model_1-08-768x480.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9490_et_longitudinal_7_linear_mixed_model_1-08-65x41.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9490_et_longitudinal_7_linear_mixed_model_1-08-225x141.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9490_et_longitudinal_7_linear_mixed_model_1-08-350x219.jpg 350w\" sizes=\"auto, (max-width: 839px) 100vw, 839px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-188\" src=\"http:\/\/statp12.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/140\/2019\/01\/9490_et_longitudinal_7_linear_mixed_model_1-09.jpg\" alt=\"\" width=\"843\" height=\"310\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9490_et_longitudinal_7_linear_mixed_model_1-09.jpg 843w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9490_et_longitudinal_7_linear_mixed_model_1-09-300x110.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9490_et_longitudinal_7_linear_mixed_model_1-09-768x282.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9490_et_longitudinal_7_linear_mixed_model_1-09-65x24.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9490_et_longitudinal_7_linear_mixed_model_1-09-225x83.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9490_et_longitudinal_7_linear_mixed_model_1-09-350x129.jpg 350w\" sizes=\"auto, (max-width: 843px) 100vw, 843px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-189\" src=\"http:\/\/statp12.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/140\/2019\/01\/9490_et_longitudinal_7_linear_mixed_model_1-10.jpg\" alt=\"\" width=\"856\" height=\"660\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9490_et_longitudinal_7_linear_mixed_model_1-10.jpg 856w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9490_et_longitudinal_7_linear_mixed_model_1-10-300x231.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9490_et_longitudinal_7_linear_mixed_model_1-10-768x592.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9490_et_longitudinal_7_linear_mixed_model_1-10-65x50.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9490_et_longitudinal_7_linear_mixed_model_1-10-225x173.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9490_et_longitudinal_7_linear_mixed_model_1-10-350x270.jpg 350w\" sizes=\"auto, (max-width: 856px) 100vw, 856px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-190\" src=\"http:\/\/statp12.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/140\/2019\/01\/9490_et_longitudinal_7_linear_mixed_model_1-11.jpg\" alt=\"\" width=\"843\" height=\"276\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9490_et_longitudinal_7_linear_mixed_model_1-11.jpg 843w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9490_et_longitudinal_7_linear_mixed_model_1-11-300x98.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9490_et_longitudinal_7_linear_mixed_model_1-11-768x251.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9490_et_longitudinal_7_linear_mixed_model_1-11-65x21.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9490_et_longitudinal_7_linear_mixed_model_1-11-225x74.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9490_et_longitudinal_7_linear_mixed_model_1-11-350x115.jpg 350w\" sizes=\"auto, (max-width: 843px) 100vw, 843px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-191\" src=\"http:\/\/statp12.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/140\/2019\/01\/9490_et_longitudinal_7_linear_mixed_model_1-12.jpg\" alt=\"\" width=\"847\" height=\"393\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9490_et_longitudinal_7_linear_mixed_model_1-12.jpg 847w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9490_et_longitudinal_7_linear_mixed_model_1-12-300x139.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9490_et_longitudinal_7_linear_mixed_model_1-12-768x356.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9490_et_longitudinal_7_linear_mixed_model_1-12-65x30.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9490_et_longitudinal_7_linear_mixed_model_1-12-225x104.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9490_et_longitudinal_7_linear_mixed_model_1-12-350x162.jpg 350w\" sizes=\"auto, (max-width: 847px) 100vw, 847px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-192\" src=\"http:\/\/statp12.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/140\/2019\/01\/9490_et_longitudinal_7_linear_mixed_model_1-13.jpg\" alt=\"\" width=\"800\" height=\"469\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9490_et_longitudinal_7_linear_mixed_model_1-13.jpg 800w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9490_et_longitudinal_7_linear_mixed_model_1-13-300x176.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9490_et_longitudinal_7_linear_mixed_model_1-13-768x450.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9490_et_longitudinal_7_linear_mixed_model_1-13-65x38.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9490_et_longitudinal_7_linear_mixed_model_1-13-225x132.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9490_et_longitudinal_7_linear_mixed_model_1-13-350x205.jpg 350w\" sizes=\"auto, (max-width: 800px) 100vw, 800px\" \/> <img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-193\" src=\"http:\/\/statp12.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/140\/2019\/01\/9490_et_longitudinal_7_linear_mixed_model_1-14.jpg\" alt=\"\" width=\"833\" height=\"422\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9490_et_longitudinal_7_linear_mixed_model_1-14.jpg 833w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9490_et_longitudinal_7_linear_mixed_model_1-14-300x152.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9490_et_longitudinal_7_linear_mixed_model_1-14-768x389.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9490_et_longitudinal_7_linear_mixed_model_1-14-65x33.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9490_et_longitudinal_7_linear_mixed_model_1-14-225x114.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-content\/uploads\/sites\/140\/2019\/01\/9490_et_longitudinal_7_linear_mixed_model_1-14-350x177.jpg 350w\" sizes=\"auto, (max-width: 833px) 100vw, 833px\" \/><\/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: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":7,"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-181","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\/181","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\/181\/revisions"}],"predecessor-version":[{"id":194,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-json\/pressbooks\/v2\/chapters\/181\/revisions\/194"}],"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\/181\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-json\/wp\/v2\/media?parent=181"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-json\/pressbooks\/v2\/chapter-type?post=181"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-json\/wp\/v2\/contributor?post=181"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/ebooks.inflibnet.ac.in\/statp12\/wp-json\/wp\/v2\/license?post=181"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}