{"id":47408,"date":"2024-06-19T18:38:12","date_gmt":"2024-06-19T18:38:12","guid":{"rendered":"https:\/\/www.oracletutoring.ca\/blog\/?p=47408"},"modified":"2024-06-19T18:38:13","modified_gmt":"2024-06-19T18:38:13","slug":"statistics-theory-about-the-degrees-of-freedom","status":"publish","type":"post","link":"https:\/\/www.oracletutoring.ca\/blog\/statistics-theory-about-the-degrees-of-freedom\/","title":{"rendered":"Statistics: theory about the degrees of freedom"},"content":{"rendered":"\n<h2>Self-tutoring about statistics: the tutor mentions some intriguing ideas (and resources they came from) about degrees of freedom.<\/h2>\n<p>\nDegrees of freedom (df) is a concern in calculating statistics, eg., the t or Chi-squared, since the higher the df, the more precisely the data can describe its corresponding population. One gets more df from more data points; hence, the reason more data is generally seen as better.<\/p>\n<p>\nYet, explaining degrees of freedom and its importance may sometimes get less priority than it deserves. Academia to the rescue: today I watched a <a href=\"https:\/\/www.youtube.com\/watch?v=FGBOejMiM5k\">video by Quant Psych on YouTube<\/a> which gives a refreshing way to understand degrees of freedom. The source paper, by Joseph Lee Rodgers, is <a href=\"https:\/\/journals.sagepub.com\/doi\/full\/10.1177\/2515245919882050\">here<\/a>.<\/p>\n<p>\nPut simply, the idea is that every parameter used to model the data, but calculated from the data itself, &#8220;costs&#8221; a degree of freedom. Therefore, a two-parameter model, such as a regression line (y=a +bx), costs two degrees of freedom, and so on. Yet, it seems a parameter that is wholly calculated from already-calculated parameters won&#8217;t cost any df, since it doesn&#8217;t derive further information from the data.<\/p>\nJack of <a href=\"https:\/\/www.oracletutoring.ca\">Oracle Tutoring by Jack and Diane,<\/a> Campbell River, BC.\n","protected":false},"excerpt":{"rendered":"<p>Self-tutoring about statistics: the tutor mentions some intriguing ideas (and resources they came from) about degrees of freedom. Degrees of freedom (df) is a concern in calculating statistics, eg., the t or Chi-squared, since the higher the df, the more &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"more-link\" href=\"https:\/\/www.oracletutoring.ca\/blog\/statistics-theory-about-the-degrees-of-freedom\/\"> <span class=\"screen-reader-text\">Statistics: theory about the degrees of freedom<\/span> Read More &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[19],"tags":[3198],"class_list":["post-47408","post","type-post","status-publish","format-standard","hentry","category-statistics","tag-degrees-of-freedom"],"_links":{"self":[{"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/posts\/47408","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/comments?post=47408"}],"version-history":[{"count":6,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/posts\/47408\/revisions"}],"predecessor-version":[{"id":47414,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/posts\/47408\/revisions\/47414"}],"wp:attachment":[{"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/media?parent=47408"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/categories?post=47408"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/tags?post=47408"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}