{"id":526,"date":"2023-07-29T15:06:02","date_gmt":"2023-07-29T15:06:02","guid":{"rendered":"https:\/\/statorials.org\/tr\/dagitim-tablosu-f-nasil-okunur\/"},"modified":"2023-07-29T15:06:02","modified_gmt":"2023-07-29T15:06:02","slug":"dagitim-tablosu-f-nasil-okunur","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/dagitim-tablosu-f-nasil-okunur\/","title":{"rendered":"F da\u011f\u0131t\u0131m panosu nas\u0131l okunur"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">Bu e\u011fitimde <a href=\"https:\/\/statorials.org\/tr\/f-dagitim-tablosu\/\" target=\"_blank\" rel=\"noopener\">F da\u011f\u0131t\u0131m tablosunun nas\u0131l okunaca\u011f\u0131 ve yorumlanaca\u011f\u0131 a\u00e7\u0131klanmaktad\u0131r.<\/a><\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>F da\u011f\u0131l\u0131m tablosu nedir?<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\"><strong>F da\u011f\u0131l\u0131m tablosu,<\/strong> F da\u011f\u0131l\u0131m\u0131n\u0131n kritik de\u011ferlerini g\u00f6steren bir tablodur. F da\u011f\u0131t\u0131m tablosunu kullanmak i\u00e7in yaln\u0131zca \u00fc\u00e7 de\u011fere ihtiyac\u0131n\u0131z vard\u0131r:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Pay\u0131n serbestlik derecesi<\/span><\/li>\n<li> <span style=\"color: #000000;\">Paydan\u0131n serbestlik dereceleri<\/span><\/li>\n<li> <span style=\"color: #000000;\">Alfa d\u00fczeyi (ortak se\u00e7enekler 0,01, 0,05 ve 0,10&#8217;dur)<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki tabloda alfa = 0,10 i\u00e7in F da\u011f\u0131l\u0131m tablosu g\u00f6sterilmektedir. Tablonun \u00fcst k\u0131sm\u0131ndaki say\u0131lar pay\u0131n (tabloda <em>DF1<\/em> olarak etiketlenmi\u015ftir) serbestlik derecelerini, tablonun sol taraf\u0131ndaki say\u0131lar ise paydan\u0131n (tabloda <em>DF2<\/em> olarak etiketlenmi\u015ftir) serbestlik derecelerini temsil etmektedir.<\/span><\/p>\n<p> <em><span style=\"color: #000000;\">Yak\u0131nla\u015ft\u0131rmak i\u00e7in tabloya t\u0131klamaktan \u00e7ekinmeyin.<\/span><\/em> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-493 size-full\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/f1.png\" alt=\"Alfa i\u00e7in F da\u011f\u0131l\u0131m tablosu = 0,1\" width=\"1361\" height=\"829\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Tablodaki kritik de\u011ferler s\u0131kl\u0131kla bir F testinin F istatisti\u011fiyle kar\u015f\u0131la\u015ft\u0131r\u0131l\u0131r. F istatisti\u011fi tabloda bulunan kritik de\u011ferden b\u00fcy\u00fckse, F testinin s\u0131f\u0131r hipotezini reddedebilir ve test sonu\u00e7lar\u0131n\u0131n istatistiksel olarak anlaml\u0131 oldu\u011fu sonucuna varabilirsiniz.<\/span><\/p>\n<h2> <strong>F da\u011f\u0131t\u0131m tablosunu kullanma \u00f6rnekleri<\/strong><\/h2>\n<p> <span style=\"color: #000000;\">F da\u011f\u0131l\u0131m tablosu, bir F testi i\u00e7in kritik de\u011feri bulmak i\u00e7in kullan\u0131l\u0131r. F testini ger\u00e7ekle\u015ftirece\u011finiz en yayg\u0131n \u00fc\u00e7 senaryo \u015funlard\u0131r:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Bir regresyon modelinin genel \u00f6nemini test etmek i\u00e7in regresyon analizinde F testi.<\/span><\/li>\n<li> <span style=\"color: #000000;\">Grup ortalamalar\u0131 aras\u0131ndaki genel fark\u0131 test etmek i\u00e7in ANOVA&#8217;da F testi (varyans analizi).<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u0130ki pop\u00fclasyonun e\u015fit varyansa sahip olup olmad\u0131\u011f\u0131n\u0131 bulmak i\u00e7in F testi.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Bu senaryolar\u0131n her birinde F da\u011f\u0131t\u0131m tablosunun kullan\u0131m\u0131na ili\u015fkin bir \u00f6rnek g\u00f6relim.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Regresyon Analizinde F Testi<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\"><em>\u00c7al\u0131\u015f\u0131lan saatleri<\/em> ve <em>al\u0131nan<\/em> <em>haz\u0131rl\u0131k<\/em> s\u0131navlar\u0131n\u0131 yorday\u0131c\u0131 de\u011fi\u015fkenler olarak ve <em>final s\u0131nav notunu<\/em> yan\u0131t de\u011fi\u015fkeni olarak kullanarak \u00e7oklu do\u011frusal regresyon analizi yapt\u0131\u011f\u0131m\u0131z\u0131 varsayal\u0131m. Regresyon analizini \u00e7al\u0131\u015ft\u0131rd\u0131\u011f\u0131m\u0131zda a\u015fa\u011f\u0131daki sonucu elde ederiz:<\/span><\/p>\n<table>\n<thead>\n<tr>\n<th> <span style=\"color: #000000;\">Kaynak<\/span><\/th>\n<th> <span style=\"color: #000000;\">SS<\/span><\/th>\n<th> <span style=\"color: #000000;\">df<\/span><\/th>\n<th> <span style=\"color: #000000;\">HANIM.<\/span><\/th>\n<th> <span style=\"color: #000000;\">F<\/span><\/th>\n<th> <span style=\"color: #000000;\">P.<\/span><\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td> <span style=\"color: #000000;\">Regresyon<\/span><\/td>\n<td> <span style=\"color: #000000;\">546.53<\/span><\/td>\n<td> <span style=\"color: #000000;\">2<\/span><\/td>\n<td> <span style=\"color: #000000;\">273.26<\/span><\/td>\n<td> <span style=\"color: #000000;\">5.09<\/span><\/td>\n<td> <span style=\"color: #000000;\">0,033<\/span><\/td>\n<\/tr>\n<tr>\n<td> <span style=\"color: #000000;\">Art\u0131k<\/span><\/td>\n<td> <span style=\"color: #000000;\">483.13<\/span><\/td>\n<td> <span style=\"color: #000000;\">9<\/span><\/td>\n<td> <span style=\"color: #000000;\">53.68<\/span><\/td>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td> <span style=\"color: #000000;\">Toplam<\/span><\/td>\n<td> <span style=\"color: #000000;\">1029,66<\/span><\/td>\n<td> <span style=\"color: #000000;\">11<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p> <span style=\"color: #000000;\">Regresyon analizinde f istatisti\u011fi regresyon MS\/rezid\u00fcel MS olarak hesaplan\u0131r. Bu istatistik, regresyon modelinin ba\u011f\u0131ms\u0131z de\u011fi\u015fken i\u00e7ermeyen bir modele g\u00f6re verilere daha iyi uyum sa\u011flay\u0131p sa\u011flamad\u0131\u011f\u0131n\u0131 g\u00f6sterir. Temel olarak regresyon modelinin bir b\u00fct\u00fcn olarak yararl\u0131 olup olmad\u0131\u011f\u0131n\u0131 test eder.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu \u00f6rnekte <strong>F istatisti\u011fi 273,26 \/ 53,68 = 5,09&#8217;dur<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu F istatisti\u011finin alfa = 0,05 seviyesinde anlaml\u0131 olup olmad\u0131\u011f\u0131n\u0131 bilmek istedi\u011fimizi varsayal\u0131m. Alfa = 0,05 i\u00e7in F da\u011f\u0131l\u0131m tablosunu kullanarak, pay serbestlik derecesi <strong>2<\/strong> ( <em>Regresyon i\u00e7in df)<\/em> ve payda serbestlik derecesi <strong>9<\/strong> ( <em>Art\u0131k i\u00e7in df)<\/em> ile kritik F de\u011ferinin <strong>4, 2565<\/strong> oldu\u011funu buluruz.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-494 size-full\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/f.05.png\" alt=\"Alfa i\u00e7in F da\u011f\u0131l\u0131m tablosu = 0,05.\" width=\"1361\" height=\"829\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">\u0130statisti\u011fimiz f( <strong>5.09<\/strong> ), F( <strong>4.2565)<\/strong> kritik de\u011ferinden b\u00fcy\u00fck oldu\u011fundan, regresyon modelinin bir b\u00fct\u00fcn olarak istatistiksel olarak anlaml\u0131 oldu\u011fu sonucuna varabiliriz.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>ANOVA&#8217;da F testi<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u00dc\u00e7 farkl\u0131 \u00e7al\u0131\u015fma tekni\u011finin farkl\u0131 test sonu\u00e7lar\u0131na yol a\u00e7\u0131p a\u00e7mad\u0131\u011f\u0131n\u0131 bilmek istedi\u011fimizi varsayal\u0131m. Bunu test etmek i\u00e7in 60 \u00f6\u011frenciyi i\u015fe al\u0131yoruz. S\u0131nava haz\u0131rlan\u0131rken bir ay boyunca \u00fc\u00e7 \u00e7al\u0131\u015fma tekni\u011finden birini kullanmalar\u0131 i\u00e7in rastgele 20 \u00f6\u011frenciye g\u00f6rev veriyoruz. T\u00fcm \u00f6\u011frenciler s\u0131nava girdikten sonra, \u00e7al\u0131\u015fma tekni\u011finin s\u0131nav sonu\u00e7lar\u0131 \u00fczerinde etkisi olup olmad\u0131\u011f\u0131n\u0131 belirlemek i\u00e7in <a href=\"https:\/\/statorials.org\/tr\/tek-yonlu-anova\/\" target=\"_blank\" rel=\"noopener\">tek y\u00f6nl\u00fc bir ANOVA<\/a> ger\u00e7ekle\u015ftiririz. A\u015fa\u011f\u0131daki tabloda tek y\u00f6nl\u00fc ANOVA&#8217;n\u0131n sonu\u00e7lar\u0131 g\u00f6sterilmektedir:<\/span><\/p>\n<table>\n<thead>\n<tr>\n<th> <span style=\"color: #000000;\">Kaynak<\/span><\/th>\n<th> <span style=\"color: #000000;\">SS<\/span><\/th>\n<th> <span style=\"color: #000000;\">df<\/span><\/th>\n<th> <span style=\"color: #000000;\">HANIM.<\/span><\/th>\n<th> <span style=\"color: #000000;\">F<\/span><\/th>\n<th> <span style=\"color: #000000;\">P.<\/span><\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td> <span style=\"color: #000000;\">Tedavi<\/span><\/td>\n<td> <span style=\"color: #000000;\">58.8<\/span><\/td>\n<td> <span style=\"color: #000000;\">2<\/span><\/td>\n<td> <span style=\"color: #000000;\">29.4<\/span><\/td>\n<td> <span style=\"color: #000000;\">1.74<\/span><\/td>\n<td> <span style=\"color: #000000;\">0,217<\/span><\/td>\n<\/tr>\n<tr>\n<td> <span style=\"color: #000000;\">Hata<\/span><\/td>\n<td> <span style=\"color: #000000;\">202.8<\/span><\/td>\n<td> <span style=\"color: #000000;\">12<\/span><\/td>\n<td> <span style=\"color: #000000;\">16.9<\/span><\/td>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td> <span style=\"color: #000000;\">Toplam<\/span><\/td>\n<td> <span style=\"color: #000000;\">261.6<\/span><\/td>\n<td> <span style=\"color: #000000;\">14<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p> <span style=\"color: #000000;\">Bir ANOVA&#8217;da f istatisti\u011fi, tedavi MS\/hata MS olarak hesaplan\u0131r. Bu istatistik, \u00fc\u00e7 grubun ortalama puan\u0131n\u0131n e\u015fit olup olmad\u0131\u011f\u0131n\u0131 g\u00f6sterir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu \u00f6rnekte <strong>F istatisti\u011fi 29,4 \/ 16,9 = 1,74&#8217;t\u00fcr<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu F istatisti\u011finin alfa = 0,05 seviyesinde anlaml\u0131 olup olmad\u0131\u011f\u0131n\u0131 bilmek istedi\u011fimizi varsayal\u0131m. Alfa = 0,05 i\u00e7in F da\u011f\u0131l\u0131m tablosunu kullanarak pay serbestlik derecesi <strong>2<\/strong> ( <em>Tedavi i\u00e7in df)<\/em> ve payda serbestlik derecesi <strong>12<\/strong> ( <em>Hata i\u00e7in df)<\/em> ile kritik F de\u011ferinin <strong>3, 8853<\/strong> oldu\u011funu buluruz.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-494 size-full\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/f.05.png\" alt=\"Alfa i\u00e7in F da\u011f\u0131l\u0131m tablosu = 0,05.\" width=\"1361\" height=\"829\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">F istatisti\u011fimiz ( <strong>1,74<\/strong> ), kritik de\u011fer F&#8217;den ( <strong>3,8853)<\/strong> b\u00fcy\u00fck olmad\u0131\u011f\u0131ndan, \u00fc\u00e7 grubun ortalama puanlar\u0131 aras\u0131nda istatistiksel olarak anlaml\u0131 bir fark olmad\u0131\u011f\u0131 sonucuna var\u0131yoruz.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u0130ki pop\u00fclasyonun e\u015fit varyanslar\u0131 i\u00e7in F testi<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u0130ki pop\u00fclasyonun varyanslar\u0131n\u0131n e\u015fit olup olmad\u0131\u011f\u0131n\u0131 bilmek istedi\u011fimizi varsayal\u0131m. Bunu test etmek i\u00e7in, her pop\u00fclasyondan 25 g\u00f6zlemden olu\u015fan rastgele bir \u00f6rnek ald\u0131\u011f\u0131m\u0131z ve her \u00f6rnek i\u00e7in \u00f6rnek varyans\u0131n\u0131 buldu\u011fumuz e\u015fit varyanslar i\u00e7in bir F testi yapabiliriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu F-Testi i\u00e7in test istatisti\u011fi a\u015fa\u011f\u0131daki \u015fekilde tan\u0131mlan\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u0130statistik F<\/strong> = s <sub>1<\/sub> <sup>2<\/sup> \/ s <sub>2<\/sub> <sup>2<\/sup><\/span><\/p>\n<p> <span style=\"color: #000000;\">burada s <sub>1<\/sub> <sup>2<\/sup> ve s <sub>2<\/sub> <sup>2<\/sup> \u00f6rnek varyanslard\u0131r. Bu oran birden ne kadar uzakla\u015f\u0131rsa, pop\u00fclasyon i\u00e7indeki e\u015fit olmayan varyanslar\u0131n kan\u0131t\u0131 o kadar g\u00fc\u00e7l\u00fc olur.<\/span><\/p>\n<p> <span style=\"color: #000000;\">F testinin kritik de\u011feri \u015fu \u015fekilde tan\u0131mlan\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Kritik de\u011fer F<\/strong> = n <sub>1<\/sub> -1 ve n <sub>2<\/sub> -1 serbestlik derecesi ve \u03b1 anlaml\u0131l\u0131k d\u00fczeyi ile F da\u011f\u0131l\u0131m tablosunda bulunan de\u011fer.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rnek 1 i\u00e7in \u00f6rnek varyans\u0131n\u0131n 30,5 ve \u00f6rnek 2 i\u00e7in \u00f6rnek varyans\u0131n\u0131n 20,5 oldu\u011funu varsayal\u0131m. Bu, test istatisti\u011fimizin 30,5 \/ 20,5 = <strong>1,487<\/strong> oldu\u011fu anlam\u0131na gelir. Bu test istatisti\u011finin alpha = 0,10&#8217;da anlaml\u0131 olup olmad\u0131\u011f\u0131n\u0131 \u00f6\u011frenmek i\u00e7in F da\u011f\u0131l\u0131m tablosunda alpha = 0,10, pay df = 24 ve payda df = 24 ile ili\u015fkili kritik de\u011feri bulabiliriz. Bu say\u0131 <strong>1,7019 olarak \u00e7\u0131kar.<\/strong> .<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"alignnone wp-image-493 size-full\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/f1.png\" alt=\"Alfa i\u00e7in F da\u011f\u0131l\u0131m tablosu = 0,1\" width=\"1361\" height=\"829\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">\u0130statisti\u011fimiz f( <strong>1.487<\/strong> ), F( <strong>1.7019)<\/strong> kritik de\u011ferinden b\u00fcy\u00fck olmad\u0131\u011f\u0131ndan, bu iki pop\u00fclasyonun varyanslar\u0131 aras\u0131nda istatistiksel olarak anlaml\u0131 bir fark olmad\u0131\u011f\u0131 sonucuna var\u0131yoruz.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">0,001, 0,01, 0,025, 0,05 ve 0,10 alfa de\u011ferlerine y\u00f6nelik eksiksiz F da\u011f\u0131t\u0131m tablolar\u0131 seti i\u00e7in <a href=\"https:\/\/statorials.org\/tr\/f-dagitim-tablosu\/\" target=\"_blank\" rel=\"noopener\">bu sayfaya<\/a> bak\u0131n.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Bu e\u011fitimde F da\u011f\u0131t\u0131m tablosunun nas\u0131l okunaca\u011f\u0131 ve yorumlanaca\u011f\u0131 a\u00e7\u0131klanmaktad\u0131r. F da\u011f\u0131l\u0131m tablosu nedir? F da\u011f\u0131l\u0131m tablosu, F da\u011f\u0131l\u0131m\u0131n\u0131n kritik de\u011ferlerini g\u00f6steren bir tablodur. F da\u011f\u0131t\u0131m tablosunu kullanmak i\u00e7in yaln\u0131zca \u00fc\u00e7 de\u011fere ihtiyac\u0131n\u0131z vard\u0131r: Pay\u0131n serbestlik derecesi Paydan\u0131n serbestlik dereceleri Alfa d\u00fczeyi (ortak se\u00e7enekler 0,01, 0,05 ve 0,10&#8217;dur) A\u015fa\u011f\u0131daki tabloda alfa = 0,10 i\u00e7in F [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[11],"tags":[],"class_list":["post-526","post","type-post","status-publish","format-standard","hentry","category-rehber"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.3 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Da\u011f\u0131t\u0131m Tablosu F Nas\u0131l Okunmal\u0131 - Statoryaller<\/title>\n<meta name=\"description\" content=\"F da\u011f\u0131t\u0131m tablosunun nas\u0131l okunaca\u011f\u0131na ve yorumlanaca\u011f\u0131na dair basit bir e\u011fitim.\" \/>\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\/tr\/dagitim-tablosu-f-nasil-okunur\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Da\u011f\u0131t\u0131m Tablosu F Nas\u0131l Okunmal\u0131 - 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