{"id":2516,"date":"2021-10-15T12:35:52","date_gmt":"2021-10-15T12:35:52","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/?post_type=chapter&#038;p=2516"},"modified":"2022-04-24T02:44:57","modified_gmt":"2022-04-24T02:44:57","slug":"introduction-to-the-f-distribution-and-the-f-ratio","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/chapter\/introduction-to-the-f-distribution-and-the-f-ratio\/","title":{"raw":"Introduction to The F Distribution and the F-Ratio","rendered":"Introduction to The F Distribution and the F-Ratio"},"content":{"raw":"<h2>What you\u2019ll learn to do: Understand how to calculate an <em>F<\/em>-ratio or <em>F<\/em>-statistic<\/h2>\r\n<img class=\"size-medium wp-image-2517 alignright\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5668\/2021\/10\/15123359\/pexels-eva-elijas-5503107-200x300.jpg\" alt=\"A close up picture of tomatoes.\" width=\"200\" height=\"300\" \/>Is the average tomato yield different across various fertilizers? How does the variability of yield compare across fertilizers and how does the variability in yield compare within a single type of fertilizer? Answering these questions is done through calculating an <em>F<\/em>-ratio, which is the test statistic used in a one-way ANOVA.","rendered":"<h2>What you\u2019ll learn to do: Understand how to calculate an <em>F<\/em>-ratio or <em>F<\/em>-statistic<\/h2>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-medium wp-image-2517 alignright\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5668\/2021\/10\/15123359\/pexels-eva-elijas-5503107-200x300.jpg\" alt=\"A close up picture of tomatoes.\" width=\"200\" height=\"300\" \/>Is the average tomato yield different across various fertilizers? How does the variability of yield compare across fertilizers and how does the variability in yield compare within a single type of fertilizer? Answering these questions is done through calculating an <em>F<\/em>-ratio, which is the test statistic used in a one-way ANOVA.<\/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-2516\">\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 class=\"license-attribution-dropdown-subheading\">CC licensed content, Shared previously<\/div><ul class=\"citation-list\"><li>Close-Up Photo of Unripe Tomatoes. <strong>Authored by<\/strong>: Eva Elijas. <strong>Provided by<\/strong>: Pexels. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/www.pexels.com\/photo\/close-up-photo-of-unripe-tomatoes-5503107\/\">https:\/\/www.pexels.com\/photo\/close-up-photo-of-unripe-tomatoes-5503107\/<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/about\/cc0\">CC0: No Rights Reserved<\/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":9,"template":"","meta":{"_candela_citation":"[{\"type\":\"cc\",\"description\":\"Close-Up Photo of Unripe Tomatoes\",\"author\":\"Eva Elijas\",\"organization\":\"Pexels\",\"url\":\"https:\/\/www.pexels.com\/photo\/close-up-photo-of-unripe-tomatoes-5503107\/\",\"project\":\"\",\"license\":\"cc0\",\"license_terms\":\"\"},{\"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-2516","chapter","type-chapter","status-publish","hentry"],"part":313,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapters\/2516","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":2,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapters\/2516\/revisions"}],"predecessor-version":[{"id":4019,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapters\/2516\/revisions\/4019"}],"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\/2516\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/wp\/v2\/media?parent=2516"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapter-type?post=2516"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/wp\/v2\/contributor?post=2516"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/wp\/v2\/license?post=2516"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}