{"id":197,"date":"2015-12-16T12:23:47","date_gmt":"2015-12-16T11:23:47","guid":{"rendered":"http:\/\/candrea.ch\/blog\/?p=197"},"modified":"2015-12-16T12:23:47","modified_gmt":"2015-12-16T11:23:47","slug":"cfa-with-a-single-factor","status":"publish","type":"post","link":"https:\/\/candrea.ch\/blog\/cfa-with-a-single-factor\/","title":{"rendered":"CFA with a single factor"},"content":{"rendered":"<p>Fit values for a CFA with a single factor can only be computed\u00a0with models with more than 3 observed variables.\u00a0With 3 obeserved variables and one factor you have to compute 6 free\u00a0parameters (with one fixed). But your covariance matrix has also 6\u00a0nonredundant elements. Hence you get df=0 degress of freedom. A chi-squared distribution with df=0 is constant 0, hence we\u00a0can expect the test statistic to be 0.<\/p>\n<p><a href=\"http:\/\/rpubs.com\/candrea\/cfa_single_factor\" target=\"_blank\">CFA single factor<\/a><\/p>\n<p><a href=\"https:\/\/candrea.ch\/blog\/wp-content\/uploads\/2015\/12\/20151216121756.png\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-large wp-image-198\" src=\"https:\/\/candrea.ch\/blog\/wp-content\/uploads\/2015\/12\/20151216121756-1024x724.png\" alt=\"20151216121756\" width=\"604\" height=\"427\" srcset=\"https:\/\/candrea.ch\/blog\/wp-content\/uploads\/2015\/12\/20151216121756-1024x724.png 1024w, https:\/\/candrea.ch\/blog\/wp-content\/uploads\/2015\/12\/20151216121756-300x212.png 300w\" sizes=\"(max-width: 604px) 100vw, 604px\" \/><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Fit values for a CFA with a single factor can only be computed\u00a0with models with more than 3 observed variables.\u00a0With 3 obeserved variables and one factor you have to compute 6 free\u00a0parameters (with one fixed). But your covariance matrix has also 6\u00a0nonredundant elements. Hence you get df=0 degress of freedom. A chi-squared distribution with df=0 &hellip; <a href=\"https:\/\/candrea.ch\/blog\/cfa-with-a-single-factor\/\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">CFA with a single factor<\/span> <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-197","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/candrea.ch\/blog\/wp-json\/wp\/v2\/posts\/197"}],"collection":[{"href":"https:\/\/candrea.ch\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/candrea.ch\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/candrea.ch\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/candrea.ch\/blog\/wp-json\/wp\/v2\/comments?post=197"}],"version-history":[{"count":1,"href":"https:\/\/candrea.ch\/blog\/wp-json\/wp\/v2\/posts\/197\/revisions"}],"predecessor-version":[{"id":199,"href":"https:\/\/candrea.ch\/blog\/wp-json\/wp\/v2\/posts\/197\/revisions\/199"}],"wp:attachment":[{"href":"https:\/\/candrea.ch\/blog\/wp-json\/wp\/v2\/media?parent=197"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/candrea.ch\/blog\/wp-json\/wp\/v2\/categories?post=197"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/candrea.ch\/blog\/wp-json\/wp\/v2\/tags?post=197"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}