{"id":2528,"date":"2021-10-15T15:26:06","date_gmt":"2021-10-15T15:26:06","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/?post_type=chapter&#038;p=2528"},"modified":"2022-04-24T02:56:05","modified_gmt":"2022-04-24T02:56:05","slug":"summary-facts-about-the-f-distribution","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/chapter\/summary-facts-about-the-f-distribution\/","title":{"raw":"Summary: Facts About the F Distribution","rendered":"Summary: Facts About the F Distribution"},"content":{"raw":"<h2>Key Concepts<\/h2>\r\n<ul>\r\n \t<li style=\"font-weight: 400;\" aria-level=\"1\">The <em>F<\/em>-distribution has some characteristics similar to a chi-square distribution.<\/li>\r\n \t<li style=\"font-weight: 400;\" aria-level=\"1\">The <em>F<\/em>-distribution is skewed to the right.<\/li>\r\n \t<li style=\"font-weight: 400;\" aria-level=\"1\">The <em>F<\/em>-statistic is always 0 or larger.<\/li>\r\n \t<li style=\"font-weight: 400;\" aria-level=\"1\">The <em>F<\/em>-distribution becomes less skewed as the degrees of freedom increase.<\/li>\r\n<\/ul>\r\n<h2>Glossary<\/h2>\r\n<strong>Balanced design:\u00a0<\/strong>occurs when each factor has the same number of observations","rendered":"<h2>Key Concepts<\/h2>\n<ul>\n<li style=\"font-weight: 400;\" aria-level=\"1\">The <em>F<\/em>-distribution has some characteristics similar to a chi-square distribution.<\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\">The <em>F<\/em>-distribution is skewed to the right.<\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\">The <em>F<\/em>-statistic is always 0 or larger.<\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\">The <em>F<\/em>-distribution becomes less skewed as the degrees of freedom increase.<\/li>\n<\/ul>\n<h2>Glossary<\/h2>\n<p><strong>Balanced design:\u00a0<\/strong>occurs when each factor has the same number of observations<\/p>\n\n\t\t\t <section class=\"citations-section\" role=\"contentinfo\">\n\t\t\t <h3>Candela Citations<\/h3>\n\t\t\t\t\t <div>\n\t\t\t\t\t\t <div id=\"citation-list-2528\">\n\t\t\t\t\t\t\t <div class=\"licensing\"><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Original<\/div><ul class=\"citation-list\"><li><strong>Provided by<\/strong>: Lumen Learning. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em><\/li><\/ul><\/div>\n\t\t\t\t\t\t <\/div>\n\t\t\t\t\t <\/div>\n\t\t\t <\/section>","protected":false},"author":169134,"menu_order":14,"template":"","meta":{"_candela_citation":"[{\"type\":\"original\",\"description\":\"\",\"author\":\"\",\"organization\":\"Lumen Learning\",\"url\":\"\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"}]","CANDELA_OUTCOMES_GUID":"","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-2528","chapter","type-chapter","status-publish","hentry"],"part":313,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapters\/2528","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/wp\/v2\/users\/169134"}],"version-history":[{"count":1,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapters\/2528\/revisions"}],"predecessor-version":[{"id":2529,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapters\/2528\/revisions\/2529"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/parts\/313"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapters\/2528\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/wp\/v2\/media?parent=2528"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapter-type?post=2528"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/wp\/v2\/contributor?post=2528"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/wp\/v2\/license?post=2528"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}