{"id":221,"date":"2023-08-04T00:57:07","date_gmt":"2023-08-04T00:57:07","guid":{"rendered":"https:\/\/statorials.org\/id\/distribusi-f-dari-snedecor\/"},"modified":"2023-08-04T00:57:07","modified_gmt":"2023-08-04T00:57:07","slug":"distribusi-f-dari-snedecor","status":"publish","type":"post","link":"https:\/\/statorials.org\/id\/distribusi-f-dari-snedecor\/","title":{"rendered":"Distribusi snedecor f"},"content":{"rendered":"<p>Artikel ini menjelaskan apa itu distribusi Snedecor F dan kegunaannya. Selain itu, Anda akan dapat melihat grafik distribusi Snedecor F dan sifat statistiknya. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-la-distribucion-f-de-snedecor\"><\/span> Apa distribusi Snedecor F?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>Distribusi Snedecor F<\/strong> , juga disebut <strong>distribusi Fisher \u2013 Snedecor F<\/strong> atau sederhananya <strong>distribusi F<\/strong> , adalah distribusi probabilitas kontinu yang digunakan dalam inferensi statistik, khususnya dalam analisis varians.<\/p>\n<p> Salah satu sifat distribusi Snedecor F adalah distribusi tersebut ditentukan oleh nilai dua parameter nyata, <em>m<\/em> dan <em>n<\/em> , yang menunjukkan derajat kebebasannya. Jadi, simbol distribusi Snedecor F adalah <em>F <sub>m,n<\/sub><\/em> , dengan <em>m<\/em> dan <em>n<\/em> adalah parameter yang menentukan distribusi tersebut.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-b6126a79c671267450b6523ca16b4a92_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"F_{m,n}\\qquad m,n>0&#8243; title=&#8221;Rendered by QuickLaTeX.com&#8221; height=&#8221;18&#8243; width=&#8221;139&#8243; style=&#8221;vertical-align: -6px;&#8221;><\/p>\n<\/p>\n<p> Secara matematis, distribusi Snedecor F sama dengan hasil bagi antara suatu distribusi chi-kuadrat dan derajat kebebasannya dibagi dengan hasil bagi antara distribusi chi-kuadrat yang lain dan derajat kebebasannya. Jadi rumus yang mendefinisikan distribusi Snedecor F adalah sebagai berikut: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-d407869e61ca4357ffbcb40df3bd83ab_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\left.\\begin{array}{c} X\\sim \\chi_m^2\\\\[2ex] Y\\sim \\chi_n^2\\end{array}\\right\\}\\color{orange}\\bm{\\longrightarrow}\\color{black}\\ F_{m,n}= \\cfrac{X\/m}{Y\/n}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"322\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Lihat:<\/strong> <a href=\"https:\/\/statorials.org\/id\/distribusi-chi-kuadrat\/\">Apa yang dimaksud dengan distribusi chi-kuadrat?<\/a><\/div>\n<p> Distribusi Fisher-Snedecor F mendapatkan namanya dari ahli statistik Inggris Ronald Fisher dan ahli statistik Amerika George Snedecor.<\/p>\n<p> Dalam statistik, distribusi Fisher-Snedecor F memiliki penerapan berbeda. Misalnya, distribusi Fisher-Snedecor F digunakan untuk membandingkan model regresi linier yang berbeda, dan distribusi probabilitas ini digunakan dalam analisis varians (ANOVA). <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"grafica-de-la-distribucion-f-de-snedecor\"><\/span> Diagram distribusi Snedecor F<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Setelah kita melihat definisi distribusi Snedecor F, grafik fungsi kepadatannya dan grafik probabilitas kumulatifnya ditunjukkan di bawah ini.<\/p>\n<p> Pada grafik di bawah ini Anda dapat melihat beberapa contoh distribusi Snedecor F dengan derajat kebebasan yang berbeda-beda. <\/p>\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/graphique-de-distribution-f-de-snedecor.png\" alt=\"Grafik distribusi Snedecor F\" class=\"wp-image-4375\" width=\"700\" height=\"419\" srcset=\"\" sizes=\"\"><\/figure>\n<p> Sebaliknya, pada grafik di bawah ini Anda dapat melihat bagaimana grafik fungsi probabilitas kumulatif dari distribusi Snedecor F bervariasi bergantung pada nilai karakteristiknya. <\/p>\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/distribution-f-de-snedecor-probabilite-cumulative.png\" alt=\"probabilitas kumulatif dari distribusi Snedecor F\" class=\"wp-image-4377\" width=\"700\" height=\"419\" srcset=\"\" sizes=\"\"><\/figure>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"caracteristicas-de-la-distribucion-f-de-snedecor\"><\/span> Karakteristik distribusi Snedecor F<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Terakhir, bagian ini menyajikan karakteristik terpenting dari distribusi Snedecor F.<\/p>\n<ul>\n<li> Derajat kebebasan distribusi Snedecor F, <em>m<\/em> dan <em>n<\/em> , adalah dua parameter yang menentukan bentuk distribusi. Nilai karakteristik distribusi Snedecor F ini adalah bilangan bulat positif.<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-043df156b055e7088fa83fe733825632_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}m,n \\in \\mathbb{Z}\\\\[2ex] m,n>0\\end{array}&#8221; title=&#8221;Rendered by QuickLaTeX.com&#8221; height=&#8221;54&#8243; width=&#8221;68&#8243; style=&#8221;vertical-align: 0px;&#8221;><\/p>\n<\/p>\n<ul>\n<li> Domain distribusi Snedecor F terdiri dari semua bilangan real yang lebih besar atau sama dengan nol.<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-0b8fb6676086841f8e7454004bfb39da_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x\\in [0,+\\infty) \" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"91\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li> Untuk nilai <em>n<\/em> lebih besar dari 2, mean distribusi Snedecor F sama dengan <em>n<\/em> pada pengurangan <em>n<\/em> dikurangi 2.<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-5861b8fbc6e7aef8cac0eb21cad00c9f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}X\\sim F_{m,n}\\\\[2ex] E[X]=\\cfrac{n}{n-2} \\qquad \\text{para }n>2\\end{array} &#8221; title=&#8221;Rendered by QuickLaTeX.com&#8221; height=&#8221;75&#8243; width=&#8221;225&#8243; style=&#8221;vertical-align: 0px;&#8221;><\/p>\n<\/p>\n<ul>\n<li> Jika parameter <em>n<\/em> lebih besar dari 2, varians distribusi Snedecor F dapat dihitung dengan menggunakan rumus berikut:<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-9a284413da889eec7ac2e9a95e255169_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}X\\sim F_{m,n}\\\\[2ex] Var(X)=\\cfrac{2n^2\\cdot (m+n-2)}{m\\cdot (n-2)^2\\cdot (n-4)} \\qquad \\text{para }n>4\\end{array} &#8221; title=&#8221;Rendered by QuickLaTeX.com&#8221; height=&#8221;80&#8243; width=&#8221;366&#8243; style=&#8221;vertical-align: 0px;&#8221;><\/p>\n<\/p>\n<ul>\n<li> Jika parameter <em>m<\/em> lebih besar dari 2, modus distribusi Snedecor F dapat dihitung dengan ekspresi berikut:<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-45d29450e457b8fa07c41227c7b407e3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Mo=\\cfrac{m-2}{m}\\cdot \\cfrac{n}{n+2}\\qquad \\text{para }m>2&#8243; title=&#8221;Rendered by QuickLaTeX.com&#8221; height=&#8221;40&#8243; width=&#8221;278&#8243; style=&#8221;vertical-align: -14px;&#8221;><\/p>\n<\/p>\n<ul>\n<li> Rumus fungsi densitas distribusi Snedecor F adalah sebagai berikut:<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-06871a7baaf462b75f545a02eac7dd11_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle P[X=x]=\\frac{\\Gamma\\left(\\frac{m+n}{2}\\right)}{\\Gamma\\left(\\frac{m}{2}\\right)\\Gamma\\left(\\frac{n}{2}\\right)}\\left(\\frac{m}{n}\\right)^{\\frac{m}{2}}\\cdot\\frac{x^{\\frac{m-2}{2}}}{\\left(1+\\frac{mx}{n}\\right)^{\\frac{m+n}{2}}}\" title=\"Rendered by QuickLaTeX.com\" height=\"57\" width=\"370\" style=\"vertical-align: -26px;\"><\/p>\n<\/p>\n<ul>\n<li> Jika suatu variabel mengikuti distribusi Snedecor F dengan derajat kebebasan <em>m<\/em> dan <em>n<\/em> , maka kebalikan dari variabel tersebut mengikuti distribusi Snedecor F dengan derajat kebebasan yang sama tetapi urutan nilainya berubah.<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-33587ac8fb53a8c4360dfa7f54da2792_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"X\\sim F_{m,n} \\ \\color{orange}\\bm{\\longrightarrow}\\color{\\black} \\ X^{-1}\\sim F_{n,m}\" title=\"Rendered by QuickLaTeX.com\" height=\"21\" width=\"264\" style=\"vertical-align: -6px;\"><\/p>\n<\/p>\n<ul>\n<li> Distribusi Student mempunyai hubungan sebagai berikut dengan distribusi Snedecor F: <\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-3efae8413f4588d5f30ae36f2b96a4d3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"X\\sim t_n \\ \\color{orange}\\bm{\\longrightarrow}\\color{\\black} \\ X^2\\sim F_{1,n}\" title=\"Rendered by QuickLaTeX.com\" height=\"21\" width=\"228\" style=\"vertical-align: -6px;\"><\/p>\n<\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Lihat:<\/strong> <a href=\"https:\/\/statorials.org\/id\/distribusi-siswa\/\">Berapakah distribusi t Siswa?<\/a><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Artikel ini menjelaskan apa itu distribusi Snedecor F dan kegunaannya. Selain itu, Anda akan dapat melihat grafik distribusi Snedecor F dan sifat statistiknya. Apa distribusi Snedecor F? Distribusi Snedecor F , juga disebut distribusi Fisher \u2013 Snedecor F atau sederhananya distribusi F , adalah distribusi probabilitas kontinu yang digunakan dalam inferensi statistik, khususnya dalam analisis [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[12],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u25b7 Distribusi F dari Snedecor<\/title>\n<meta name=\"description\" content=\"Di sini Anda akan menemukan apa itu distribusi Snedecor F, kegunaannya, karakteristiknya, dan grafik distribusi Snedecor F.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/statorials.org\/id\/distribusi-f-dari-snedecor\/\" \/>\n<meta property=\"og:locale\" content=\"id_ID\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u25b7 Distribusi F dari Snedecor\" \/>\n<meta property=\"og:description\" content=\"Di sini Anda akan menemukan apa itu distribusi Snedecor F, kegunaannya, karakteristiknya, dan grafik distribusi Snedecor F.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/id\/distribusi-f-dari-snedecor\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-08-04T00:57:07+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-b6126a79c671267450b6523ca16b4a92_l3.png\" \/>\n<meta name=\"author\" content=\"Benjamin anderson\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Ditulis oleh\" \/>\n\t<meta name=\"twitter:data1\" content=\"Benjamin anderson\" \/>\n\t<meta name=\"twitter:label2\" content=\"Estimasi waktu membaca\" \/>\n\t<meta name=\"twitter:data2\" content=\"2 menit\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/id\/distribusi-f-dari-snedecor\/\",\"url\":\"https:\/\/statorials.org\/id\/distribusi-f-dari-snedecor\/\",\"name\":\"\u25b7 Distribusi F dari Snedecor\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/id\/#website\"},\"datePublished\":\"2023-08-04T00:57:07+00:00\",\"dateModified\":\"2023-08-04T00:57:07+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/id\/#\/schema\/person\/3d17a1160dd2d052b7c78e502cb9ec81\"},\"description\":\"Di sini Anda akan menemukan apa itu distribusi Snedecor F, kegunaannya, karakteristiknya, dan grafik distribusi Snedecor F.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/id\/distribusi-f-dari-snedecor\/#breadcrumb\"},\"inLanguage\":\"id\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/id\/distribusi-f-dari-snedecor\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/id\/distribusi-f-dari-snedecor\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/statorials.org\/id\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Distribusi snedecor f\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/statorials.org\/id\/#website\",\"url\":\"https:\/\/statorials.org\/id\/\",\"name\":\"Statorials\",\"description\":\"Panduan anda untuk kompetensi statistik!\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/statorials.org\/id\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"id\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/statorials.org\/id\/#\/schema\/person\/3d17a1160dd2d052b7c78e502cb9ec81\",\"name\":\"Benjamin anderson\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"id\",\"@id\":\"https:\/\/statorials.org\/id\/#\/schema\/person\/image\/\",\"url\":\"http:\/\/statorials.org\/id\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"contentUrl\":\"http:\/\/statorials.org\/id\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"caption\":\"Benjamin anderson\"},\"description\":\"Halo, saya Benjamin, pensiunan profesor statistika yang menjadi guru Statorial yang berdedikasi. 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