{"id":8492,"date":"2019-05-22T16:08:18","date_gmt":"2019-05-22T16:08:18","guid":{"rendered":"http:\/\/www.lancaster.ac.uk\/fas\/psych\/glossary\/multivariate_analysis_of_variance_-manova\/"},"modified":"2019-05-22T16:08:18","modified_gmt":"2019-05-22T16:08:18","slug":"multivariate_analysis_of_variance_-manova","status":"publish","type":"post","link":"https:\/\/www.lancaster.ac.uk\/fas\/psych\/glossary\/multivariate_analysis_of_variance_-manova\/","title":{"rendered":"Multivariate analysis of variance (MANOVA)"},"content":{"rendered":"<p>A set of statistical techniques for the analysis of mean differences when there are multiple outcome (i.e., dependent) variables. &nbsp;It is comparable to the analysis of variance of univariate data, but in MANOVA groups are compared on n (2 or more) dependent variables simultaneously. &nbsp;The most commonly used test is <a href=\"http:\/\/www.blackwellpublishing.com\/specialarticles\/jcn_9_381.pdf\" target=\"_self\" data-editable-link=\"http:\/\/www.blackwellpublishing.com\/specialarticles\/jcn_9_381.pdf&amp;target=_self\" rel=\"noopener noreferrer\">Wilks&#8217; lambda<\/a> that is based on three matrices (viz., the within-, the between- and the total matrix of sums of squares and cross products). &nbsp;The test was originally devised by <a href=\"http:\/\/www-history.mcs.st-and.ac.uk\/Biographies\/Wilks.html\" class=\"cc-route-enabled\" target=\"_self\" data-editable-link=\"http:\/\/www-history.mcs.st-and.ac.uk\/Biographies\/Wilks.html&amp;target=_self\" rel=\"noopener noreferrer\">Samuel S. Wilks<\/a> (1906-1964) and published in <a href=\"http:\/\/biomet.oxfordjournals.org\/content\/24\/3-4\/471.extract\" class=\"cc-route-enabled\" target=\"_self\" data-editable-link=\"http:\/\/biomet.oxfordjournals.org\/content\/24\/3-4\/471.extract&amp;target=_self\" rel=\"noopener noreferrer\">1932<\/a>. &nbsp;&nbsp;<\/p>\n<p>See Analysis of variance, <a href=\"latent_growth_model\">Latent growth model<\/a>, Multilevel modelling<\/p>\n<p><\/p>\n<p><\/p>\n<p><\/body><\/html><\/p>\n","protected":false},"excerpt":{"rendered":"<p>A set of statistical techniques for the analysis of mean differences when there are multiple outcome (i.e., dependent) variables. &nbsp;It is comparable to the analysis of variance of univariate data, but in MANOVA groups are compared on n (2 or more) dependent variables simultaneously. &nbsp;The most commonly used test is Wilks&#8217; lambda that is based &hellip; <\/p>\n<p class=\"link-more\"><a href=\"https:\/\/www.lancaster.ac.uk\/fas\/psych\/glossary\/multivariate_analysis_of_variance_-manova\/\" class=\"more-link\">Continue reading<span class=\"screen-reader-text\"> &#8220;Multivariate analysis of variance (MANOVA)&#8221;<\/span><\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[2],"class_list":["post-8492","post","type-post","status-publish","format-standard","hentry","category-uncategorized","tag-glossary","entry"],"_links":{"self":[{"href":"https:\/\/www.lancaster.ac.uk\/fas\/psych\/glossary\/wp-json\/wp\/v2\/posts\/8492","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.lancaster.ac.uk\/fas\/psych\/glossary\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.lancaster.ac.uk\/fas\/psych\/glossary\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.lancaster.ac.uk\/fas\/psych\/glossary\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.lancaster.ac.uk\/fas\/psych\/glossary\/wp-json\/wp\/v2\/comments?post=8492"}],"version-history":[{"count":0,"href":"https:\/\/www.lancaster.ac.uk\/fas\/psych\/glossary\/wp-json\/wp\/v2\/posts\/8492\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.lancaster.ac.uk\/fas\/psych\/glossary\/wp-json\/wp\/v2\/media?parent=8492"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.lancaster.ac.uk\/fas\/psych\/glossary\/wp-json\/wp\/v2\/categories?post=8492"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.lancaster.ac.uk\/fas\/psych\/glossary\/wp-json\/wp\/v2\/tags?post=8492"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}