{"id":221,"date":"2023-08-04T00:57:07","date_gmt":"2023-08-04T00:57:07","guid":{"rendered":"https:\/\/statorials.org\/tr\/snedecorun-dagilimi-f\/"},"modified":"2023-08-04T00:57:07","modified_gmt":"2023-08-04T00:57:07","slug":"snedecorun-dagilimi-f","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/snedecorun-dagilimi-f\/","title":{"rendered":"Snedecor f da\u011f\u0131t\u0131m\u0131"},"content":{"rendered":"<p>Bu makalede Snedecor F da\u011f\u0131t\u0131m\u0131n\u0131n ne oldu\u011fu ve ne i\u00e7in kullan\u0131ld\u0131\u011f\u0131 anlat\u0131lmaktad\u0131r. Ayr\u0131ca Snedecor F da\u011f\u0131l\u0131m grafi\u011fini ve istatistiksel \u00f6zelliklerinin neler oldu\u011funu g\u00f6rebileceksiniz. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-la-distribucion-f-de-snedecor\"><\/span> Snedecor F da\u011f\u0131l\u0131m\u0131 nedir?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>Fisher-Snedecor<\/strong> <strong>F da\u011f\u0131l\u0131m\u0131<\/strong> veya basit\u00e7e <strong>F da\u011f\u0131l\u0131m\u0131<\/strong> olarak da adland\u0131r\u0131lan Snedecor F da\u011f\u0131l\u0131m\u0131, istatistiksel \u00e7\u0131kar\u0131mda, \u00f6zellikle varyans analizinde kullan\u0131lan s\u00fcrekli bir olas\u0131l\u0131k da\u011f\u0131l\u0131m\u0131d\u0131r.<\/p>\n<p> Snedecor F da\u011f\u0131l\u0131m\u0131n\u0131n \u00f6zelliklerinden biri, serbestlik derecelerini g\u00f6steren <em>m<\/em> ve <em>n<\/em> olmak \u00fczere iki ger\u00e7ek parametrenin de\u011feriyle tan\u0131mlanmas\u0131d\u0131r. Dolay\u0131s\u0131yla Snedecor da\u011f\u0131l\u0131m\u0131 F&#8217;nin sembol\u00fc <em>Fm <sub>,n&#8217;dir<\/sub><\/em> ; burada <em>m<\/em> ve <em>n<\/em> , da\u011f\u0131l\u0131m\u0131 tan\u0131mlayan parametrelerdir.<\/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> Matematiksel olarak Snedecor F da\u011f\u0131l\u0131m\u0131, bir ki-kare da\u011f\u0131l\u0131m\u0131 ile serbestlik dereceleri aras\u0131ndaki b\u00f6l\u00fcm\u00fcn, ba\u015fka bir ki-kare da\u011f\u0131l\u0131m\u0131 ile onun serbestlik dereceleri aras\u0131ndaki b\u00f6l\u00fcme b\u00f6l\u00fcnmesine e\u015fittir. B\u00f6ylece Snedecor F da\u011f\u0131l\u0131m\u0131n\u0131 tan\u0131mlayan form\u00fcl a\u015fa\u011f\u0131daki gibidir: <\/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>Bak\u0131n\u0131z:<\/strong> <a href=\"https:\/\/statorials.org\/tr\/ki-kare-dagilimi\/\">Ki-kare da\u011f\u0131l\u0131m\u0131 nedir?<\/a><\/div>\n<p> Fisher-Snedecor F da\u011f\u0131l\u0131m\u0131, ad\u0131n\u0131 \u0130ngiliz istatistik\u00e7i Ronald Fisher ve Amerikal\u0131 istatistik\u00e7i George Snedecor&#8217;dan almaktad\u0131r.<\/p>\n<p> \u0130statistikte Fisher-Snedecor F da\u011f\u0131l\u0131m\u0131n\u0131n farkl\u0131 uygulamalar\u0131 vard\u0131r. \u00d6rne\u011fin, Fisher-Snedecor F da\u011f\u0131l\u0131m\u0131 farkl\u0131 do\u011frusal regresyon modellerini kar\u015f\u0131la\u015ft\u0131rmak i\u00e7in kullan\u0131l\u0131r ve bu olas\u0131l\u0131k da\u011f\u0131l\u0131m\u0131, varyans analizinde (ANOVA) kullan\u0131l\u0131r. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"grafica-de-la-distribucion-f-de-snedecor\"><\/span> Snedecor F da\u011f\u0131t\u0131m \u015femas\u0131<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Snedecor F da\u011f\u0131l\u0131m\u0131n\u0131n tan\u0131m\u0131n\u0131 g\u00f6rd\u00fckten sonra yo\u011funluk fonksiyonunun grafi\u011fi ve k\u00fcm\u00fclatif olas\u0131l\u0131k grafi\u011fi a\u015fa\u011f\u0131da g\u00f6sterilmi\u015ftir.<\/p>\n<p> A\u015fa\u011f\u0131daki grafikte farkl\u0131 serbestlik derecelerine sahip Snedecor F da\u011f\u0131l\u0131mlar\u0131n\u0131n birka\u00e7 \u00f6rne\u011fini g\u00f6rebilirsiniz. <\/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=\"Snedecor F da\u011f\u0131l\u0131m grafi\u011fi\" class=\"wp-image-4375\" width=\"700\" height=\"419\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p> \u00d6te yandan a\u015fa\u011f\u0131daki grafikte Snedecor F da\u011f\u0131l\u0131m\u0131n\u0131n k\u00fcm\u00fclatif olas\u0131l\u0131k fonksiyonunun grafi\u011finin karakteristik de\u011ferlerine ba\u011fl\u0131 olarak nas\u0131l de\u011fi\u015fti\u011fini g\u00f6rebilirsiniz. <\/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=\"Snedecor F da\u011f\u0131l\u0131m\u0131n\u0131n k\u00fcm\u00fclatif olas\u0131l\u0131\u011f\u0131\" class=\"wp-image-4377\" width=\"700\" height=\"419\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"caracteristicas-de-la-distribucion-f-de-snedecor\"><\/span> Snedecor F da\u011f\u0131l\u0131m\u0131n\u0131n \u00f6zellikleri<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Son olarak bu b\u00f6l\u00fcmde Snedecor F da\u011f\u0131l\u0131m\u0131n\u0131n en \u00f6nemli \u00f6zellikleri sunulmaktad\u0131r.<\/p>\n<ul>\n<li> Snedecor F da\u011f\u0131l\u0131m\u0131n\u0131n serbestlik dereceleri, <em>m<\/em> ve <em>n<\/em> , da\u011f\u0131l\u0131m\u0131n \u015feklini tan\u0131mlayan iki parametredir. Snedecor F da\u011f\u0131l\u0131m\u0131n\u0131n bu karakteristik de\u011ferleri pozitif tamsay\u0131lard\u0131r.<\/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> Snedecor F da\u011f\u0131l\u0131m\u0131n\u0131n alan\u0131 s\u0131f\u0131rdan b\u00fcy\u00fck veya s\u0131f\u0131ra e\u015fit t\u00fcm ger\u00e7ek say\u0131lardan olu\u015fur.<\/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> <em>n&#8217;nin<\/em> 2&#8217;den b\u00fcy\u00fck de\u011ferleri i\u00e7in Snedecor F da\u011f\u0131l\u0131m\u0131n\u0131n ortalamas\u0131, <em>n<\/em> eksi 2&#8217;nin \u00e7\u0131kar\u0131lmas\u0131yla <em>n&#8217;ye<\/em> e\u015fittir.<\/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> <em>n<\/em> parametresi 2&#8217;den b\u00fcy\u00fck oldu\u011funda Snedecor da\u011f\u0131l\u0131m\u0131 F&#8217;nin varyans\u0131 a\u015fa\u011f\u0131daki form\u00fcl uygulanarak hesaplanabilir:<\/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> E\u011fer <em>m<\/em> parametresi 2&#8217;den b\u00fcy\u00fckse, Snedecor da\u011f\u0131l\u0131m\u0131 F&#8217;nin modu a\u015fa\u011f\u0131daki ifadeyle hesaplanabilir:<\/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> Snedecor da\u011f\u0131l\u0131m\u0131 F&#8217;nin yo\u011funluk fonksiyonu form\u00fcl\u00fc a\u015fa\u011f\u0131daki gibidir:<\/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> Bir de\u011fi\u015fken, <em>m<\/em> ve <em>n<\/em> serbestlik derecelerine sahip bir Snedecor F da\u011f\u0131l\u0131m\u0131n\u0131 takip ediyorsa, s\u00f6z konusu de\u011fi\u015fkenin tersi, ayn\u0131 serbestlik derecesine sahip ancak de\u011ferlerinin s\u0131ras\u0131 de\u011fi\u015fen bir Snedecor F da\u011f\u0131l\u0131m\u0131n\u0131 takip eder.<\/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> \u00d6\u011frenci da\u011f\u0131l\u0131m\u0131 Snedecor F da\u011f\u0131l\u0131m\u0131 ile a\u015fa\u011f\u0131daki ili\u015fkiye sahiptir: <\/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>Bak\u0131n\u0131z:<\/strong> <a href=\"https:\/\/statorials.org\/tr\/ogrenci-dagilimi\/\">\u00d6\u011frencinin t da\u011f\u0131l\u0131m\u0131 nedir?<\/a><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Bu makalede Snedecor F da\u011f\u0131t\u0131m\u0131n\u0131n ne oldu\u011fu ve ne i\u00e7in kullan\u0131ld\u0131\u011f\u0131 anlat\u0131lmaktad\u0131r. Ayr\u0131ca Snedecor F da\u011f\u0131l\u0131m grafi\u011fini ve istatistiksel \u00f6zelliklerinin neler oldu\u011funu g\u00f6rebileceksiniz. Snedecor F da\u011f\u0131l\u0131m\u0131 nedir? Fisher-Snedecor F da\u011f\u0131l\u0131m\u0131 veya basit\u00e7e F da\u011f\u0131l\u0131m\u0131 olarak da adland\u0131r\u0131lan Snedecor F da\u011f\u0131l\u0131m\u0131, istatistiksel \u00e7\u0131kar\u0131mda, \u00f6zellikle varyans analizinde kullan\u0131lan s\u00fcrekli bir olas\u0131l\u0131k da\u011f\u0131l\u0131m\u0131d\u0131r. Snedecor F da\u011f\u0131l\u0131m\u0131n\u0131n \u00f6zelliklerinden biri, [&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":[],"class_list":["post-221","post","type-post","status-publish","format-standard","hentry","category-olasilik"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.3 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u25b7 Snedecor&#039;dan F Da\u011f\u0131t\u0131m\u0131<\/title>\n<meta name=\"description\" content=\"Burada Snedecor F da\u011f\u0131l\u0131m\u0131n\u0131n ne oldu\u011funu, ne i\u00e7in kullan\u0131ld\u0131\u011f\u0131n\u0131, \u00f6zelliklerini ve Snedecor F da\u011f\u0131l\u0131m grafi\u011fini bulacaks\u0131n\u0131z.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link 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