{"id":88,"date":"2018-12-31T06:04:01","date_gmt":"2018-12-31T06:04:01","guid":{"rendered":"http:\/\/statp11.epgpbooks.inflibnet.ac.in\/?post_type=chapter&#038;p=88"},"modified":"2018-12-31T06:09:26","modified_gmt":"2018-12-31T06:09:26","slug":"multivariate-analysis-of-variance","status":"publish","type":"chapter","link":"https:\/\/ebooks.inflibnet.ac.in\/statp11\/chapter\/multivariate-analysis-of-variance\/","title":{"rendered":"Multivariate Analysis of Variance"},"content":{"raw":"<div><span style=\"float: right\"><a href=\"https:\/\/youtu.be\/J0_ugyt7vOI\" target=\"_blank\" rel=\"noopener\"><img src=\"http:\/\/epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/2018\/11\/download.png\" alt=\"epgp books\" width=\"75px\" height=\"75px;\" \/><\/a>\r\n<\/span><\/div>\r\n&nbsp;\r\n\r\n&nbsp;\r\n\r\n&nbsp;\r\n\r\n<img class=\"aligncenter size-full wp-image-91\" src=\"http:\/\/statp11.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/139\/2018\/12\/1525690995MultivariateAnalysisofVariance-1.jpg\" alt=\"\" width=\"1417\" height=\"1213\" \/>\r\n\r\n<img class=\"aligncenter size-full wp-image-92\" src=\"http:\/\/statp11.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/139\/2018\/12\/1525690995MultivariateAnalysisofVariance-2.jpg\" alt=\"\" width=\"1321\" height=\"1801\" \/>\r\n\r\n<img class=\"aligncenter size-full wp-image-93\" src=\"http:\/\/statp11.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/139\/2018\/12\/1525690995MultivariateAnalysisofVariance-3.jpg\" alt=\"\" width=\"1377\" height=\"1769\" \/>\r\n\r\n<img class=\"aligncenter size-full wp-image-94\" src=\"http:\/\/statp11.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/139\/2018\/12\/1525690995MultivariateAnalysisofVariance-4.jpg\" alt=\"\" width=\"1385\" height=\"1617\" \/>\r\n<table>\r\n<tbody>\r\n<tr>\r\n<td><strong>you can view video on Multivariate Analysis of Variance<\/strong><\/td>\r\n<td><a href=\"https:\/\/youtu.be\/J0_ugyt7vOI\" target=\"_blank\" rel=\"noopener\"><img class=\"alignnone wp-image-120\" src=\"http:\/\/epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/2018\/11\/download.png\" alt=\"\" width=\"36\" height=\"36\" \/><\/a><\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<img class=\"aligncenter size-full wp-image-95\" src=\"http:\/\/statp11.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/139\/2018\/12\/1525691005MultivariateAnalysisofVariance_Ref-09.jpg\" alt=\"\" width=\"947\" height=\"348\" \/>\r\n\r\n<img class=\"aligncenter size-full wp-image-96\" src=\"http:\/\/statp11.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/139\/2018\/12\/1525691005MultivariateAnalysisofVariance_Ref-13.jpg\" alt=\"\" width=\"955\" height=\"354\" \/>","rendered":"<div><span style=\"float: right\"><a href=\"https:\/\/youtu.be\/J0_ugyt7vOI\" target=\"_blank\" rel=\"noopener\"><img decoding=\"async\" src=\"http:\/\/epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/2018\/11\/download.png\" alt=\"epgp books\" width=\"75px\" height=\"75px;\" \/><\/a><br \/>\n<\/span><\/div>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-91\" src=\"http:\/\/statp11.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/139\/2018\/12\/1525690995MultivariateAnalysisofVariance-1.jpg\" alt=\"\" width=\"1417\" height=\"1213\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525690995MultivariateAnalysisofVariance-1.jpg 1417w, https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525690995MultivariateAnalysisofVariance-1-300x257.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525690995MultivariateAnalysisofVariance-1-768x657.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525690995MultivariateAnalysisofVariance-1-1024x877.jpg 1024w, https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525690995MultivariateAnalysisofVariance-1-65x56.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525690995MultivariateAnalysisofVariance-1-225x193.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525690995MultivariateAnalysisofVariance-1-350x300.jpg 350w\" sizes=\"auto, (max-width: 1417px) 100vw, 1417px\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-92\" src=\"http:\/\/statp11.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/139\/2018\/12\/1525690995MultivariateAnalysisofVariance-2.jpg\" alt=\"\" width=\"1321\" height=\"1801\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525690995MultivariateAnalysisofVariance-2.jpg 1321w, https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525690995MultivariateAnalysisofVariance-2-220x300.jpg 220w, https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525690995MultivariateAnalysisofVariance-2-768x1047.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525690995MultivariateAnalysisofVariance-2-751x1024.jpg 751w, https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525690995MultivariateAnalysisofVariance-2-65x89.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525690995MultivariateAnalysisofVariance-2-225x307.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525690995MultivariateAnalysisofVariance-2-350x477.jpg 350w\" sizes=\"auto, (max-width: 1321px) 100vw, 1321px\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-93\" src=\"http:\/\/statp11.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/139\/2018\/12\/1525690995MultivariateAnalysisofVariance-3.jpg\" alt=\"\" width=\"1377\" height=\"1769\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525690995MultivariateAnalysisofVariance-3.jpg 1377w, https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525690995MultivariateAnalysisofVariance-3-234x300.jpg 234w, https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525690995MultivariateAnalysisofVariance-3-768x987.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525690995MultivariateAnalysisofVariance-3-797x1024.jpg 797w, https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525690995MultivariateAnalysisofVariance-3-65x84.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525690995MultivariateAnalysisofVariance-3-225x289.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525690995MultivariateAnalysisofVariance-3-350x450.jpg 350w\" sizes=\"auto, (max-width: 1377px) 100vw, 1377px\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-94\" src=\"http:\/\/statp11.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/139\/2018\/12\/1525690995MultivariateAnalysisofVariance-4.jpg\" alt=\"\" width=\"1385\" height=\"1617\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525690995MultivariateAnalysisofVariance-4.jpg 1385w, https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525690995MultivariateAnalysisofVariance-4-257x300.jpg 257w, https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525690995MultivariateAnalysisofVariance-4-768x897.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525690995MultivariateAnalysisofVariance-4-877x1024.jpg 877w, https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525690995MultivariateAnalysisofVariance-4-65x76.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525690995MultivariateAnalysisofVariance-4-225x263.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525690995MultivariateAnalysisofVariance-4-350x409.jpg 350w\" sizes=\"auto, (max-width: 1385px) 100vw, 1385px\" \/><\/p>\n<table>\n<tbody>\n<tr>\n<td><strong>you can view video on Multivariate Analysis of Variance<\/strong><\/td>\n<td><a href=\"https:\/\/youtu.be\/J0_ugyt7vOI\" target=\"_blank\" rel=\"noopener\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-120\" src=\"http:\/\/epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/2018\/11\/download.png\" alt=\"\" width=\"36\" height=\"36\" \/><\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-95\" src=\"http:\/\/statp11.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/139\/2018\/12\/1525691005MultivariateAnalysisofVariance_Ref-09.jpg\" alt=\"\" width=\"947\" height=\"348\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525691005MultivariateAnalysisofVariance_Ref-09.jpg 947w, https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525691005MultivariateAnalysisofVariance_Ref-09-300x110.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525691005MultivariateAnalysisofVariance_Ref-09-768x282.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525691005MultivariateAnalysisofVariance_Ref-09-65x24.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525691005MultivariateAnalysisofVariance_Ref-09-225x83.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525691005MultivariateAnalysisofVariance_Ref-09-350x129.jpg 350w\" sizes=\"auto, (max-width: 947px) 100vw, 947px\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-96\" src=\"http:\/\/statp11.epgpbooks.inflibnet.ac.in\/wp-content\/uploads\/sites\/139\/2018\/12\/1525691005MultivariateAnalysisofVariance_Ref-13.jpg\" alt=\"\" width=\"955\" height=\"354\" srcset=\"https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525691005MultivariateAnalysisofVariance_Ref-13.jpg 955w, https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525691005MultivariateAnalysisofVariance_Ref-13-300x111.jpg 300w, https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525691005MultivariateAnalysisofVariance_Ref-13-768x285.jpg 768w, https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525691005MultivariateAnalysisofVariance_Ref-13-65x24.jpg 65w, https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525691005MultivariateAnalysisofVariance_Ref-13-225x83.jpg 225w, https:\/\/ebooks.inflibnet.ac.in\/statp11\/wp-content\/uploads\/sites\/139\/2018\/12\/1525691005MultivariateAnalysisofVariance_Ref-13-350x130.jpg 350w\" sizes=\"auto, (max-width: 955px) 100vw, 955px\" 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