{"id":4642,"date":"2025-01-18T11:59:48","date_gmt":"2025-01-18T10:59:48","guid":{"rendered":"https:\/\/www.psyctc.org\/psyctc\/?post_type=docs&#038;p=4642"},"modified":"2025-01-20T17:08:19","modified_gmt":"2025-01-20T16:08:19","password":"","slug":"bifactor-models","status":"publish","type":"docs","link":"https:\/\/www.psyctc.org\/psyctc\/glossary2\/bifactor-models\/","title":{"rendered":"Bifactor models"},"content":{"rendered":"\n<p>A subset of factor analytic models, not to be confused with 2-factor models.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Details<\/h4>\n\n\n\n<p>As with all factor analytic analyses bifactor models are a set of models of how we might understand correlations between scores on multiple variables (scores collected across a lot of different peopleand such that scores from any one person are not related to those from another person, e.g. not collected by collecting all people in one house, a house at a time).  Bifactor models are a particular subset of confirmatory factor models.  The bifactor model assumes that the scores on all the variables come from one of three sources:<br>1) a general factor<br>2) &#8220;group&#8221; factors each involving only some of the variables (and no variables contributing to more than one group factor)<br>3) &#8220;specific&#8221; or &#8220;error&#8221; contributions to each variable, uncorrelated with either the of the above factors.  I.e. &#8220;error&#8221;, &#8220;noise&#8221; or &#8220;unreliability&#8221; variance.<\/p>\n\n\n\n<p>These models are widely used where it is assumed that there is some general factor so a popular model of psychological distress or dysfunction is that we each have a general tendency to any distress, a general or <em>p<\/em> factor, but that we can also have distinct amounts of more specific forms of distress\/dysfunction, often diagnostic groups like anxiety or depression.<\/p>\n\n\n\n<p>These models <em>can <\/em>have some real strengths but are often used rather uncritically.  The pros and cons are really beyond this glossary but I might get into them in the Rblog and even, at some point, in a paper.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Try also<\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li><a href=\"https:\/\/www.psyctc.org\/psyctc\/glossary2\/confirmatory-factor-analysis\/\" title=\"\">Confirmatory factor analysis<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/www.psyctc.org\/psyctc\/glossary2\/exploratory-factor-analysis-efa\/\" title=\"\">Exploratory factor analysis<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/www.psyctc.org\/psyctc\/glossary2\/factor-analysis\/\" title=\"\">Factor analysis<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/www.psyctc.org\/psyctc\/glossary2\/hierarchical-factor-models\/\" title=\"\">Hierarchical factor models<\/a><\/li>\n\n\n\n<li>Network analysis<\/li>\n\n\n\n<li>Psychometrics<\/li>\n<\/ul>\n\n\n\n<h4 class=\"wp-block-heading\">Chapters<\/h4>\n\n\n\n<p>Not covered in the OMbook.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Online resources<\/h4>\n\n\n\n<p>Probably needs an Rblog post with plots to explain it better: coming!<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Dates<\/h4>\n\n\n\n<p>First created 18.i.25, links tweaked 20.i.25.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>A subset of factor analytic models, not to be confused with 2-factor models. Details As with all factor analytic analyses bifactor models are a set of models of how we might understand correlations between scores on multiple variables (scores collected across a lot of different peopleand such that scores from any one person are not &hellip; <a href=\"https:\/\/www.psyctc.org\/psyctc\/glossary2\/bifactor-models\/\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">Bifactor models<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","template":"","meta":{"footnotes":""},"doc_category":[],"glossaries":[],"doc_tag":[],"knowledge_base":[],"class_list":["post-4642","docs","type-docs","status-publish","hentry"],"year_month":"2026-04","word_count":292,"total_views":"748","reactions":{"happy":"0","normal":"0","sad":"0"},"author_info":{"name":"chris","author_nicename":"chris","author_url":"https:\/\/www.psyctc.org\/psyctc\/author\/chris\/"},"doc_category_info":[],"doc_tag_info":[],"knowledge_base_info":[],"knowledge_base_slug":[],"_links":{"self":[{"href":"https:\/\/www.psyctc.org\/psyctc\/wp-json\/wp\/v2\/docs\/4642","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.psyctc.org\/psyctc\/wp-json\/wp\/v2\/docs"}],"about":[{"href":"https:\/\/www.psyctc.org\/psyctc\/wp-json\/wp\/v2\/types\/docs"}],"author":[{"embeddable":true,"href":"https:\/\/www.psyctc.org\/psyctc\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.psyctc.org\/psyctc\/wp-json\/wp\/v2\/comments?post=4642"}],"version-history":[{"count":2,"href":"https:\/\/www.psyctc.org\/psyctc\/wp-json\/wp\/v2\/docs\/4642\/revisions"}],"predecessor-version":[{"id":4653,"href":"https:\/\/www.psyctc.org\/psyctc\/wp-json\/wp\/v2\/docs\/4642\/revisions\/4653"}],"wp:attachment":[{"href":"https:\/\/www.psyctc.org\/psyctc\/wp-json\/wp\/v2\/media?parent=4642"}],"wp:term":[{"taxonomy":"doc_category","embeddable":true,"href":"https:\/\/www.psyctc.org\/psyctc\/wp-json\/wp\/v2\/doc_category?post=4642"},{"taxonomy":"glossaries","embeddable":true,"href":"https:\/\/www.psyctc.org\/psyctc\/wp-json\/wp\/v2\/glossaries?post=4642"},{"taxonomy":"doc_tag","embeddable":true,"href":"https:\/\/www.psyctc.org\/psyctc\/wp-json\/wp\/v2\/doc_tag?post=4642"},{"taxonomy":"knowledge_base","embeddable":true,"href":"https:\/\/www.psyctc.org\/psyctc\/wp-json\/wp\/v2\/knowledge_base?post=4642"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}