{"id":525,"date":"2023-07-29T15:10:43","date_gmt":"2023-07-29T15:10:43","guid":{"rendered":"https:\/\/statorials.org\/tr\/t-testi-ile-anova-arasindaki-fark-nedir\/"},"modified":"2023-07-29T15:10:43","modified_gmt":"2023-07-29T15:10:43","slug":"t-testi-ile-anova-arasindaki-fark-nedir","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/t-testi-ile-anova-arasindaki-fark-nedir\/","title":{"rendered":"T testi ile anova aras\u0131ndaki fark nedir?"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">Bu e\u011fitimde <strong>t testi<\/strong> ile <strong>ANOVA<\/strong> aras\u0131ndaki fark\u0131n yan\u0131 s\u0131ra her testin ne zaman kullan\u0131laca\u011f\u0131 a\u00e7\u0131klanmaktad\u0131r.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>T testi<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\"><span style=\"text-decoration: underline;\">\u0130ki grubun<\/span> ortalamalar\u0131 aras\u0131nda istatistiksel olarak anlaml\u0131 bir fark olup olmad\u0131\u011f\u0131n\u0131 belirlemek i\u00e7in <strong>t testi<\/strong> kullan\u0131l\u0131r. \u0130ki t\u00fcr t testi vard\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>1. Ba\u011f\u0131ms\u0131z \u00f6rnekler t-testi.<\/strong> Bu, iki grubun ortalamalar\u0131 aras\u0131ndaki fark\u0131 kar\u015f\u0131la\u015ft\u0131rmak istedi\u011fimizde ve gruplar\u0131n birbirinden tamamen ba\u011f\u0131ms\u0131z oldu\u011fu durumlarda kullan\u0131l\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin<\/span> <span style=\"color: #000000;\">ara\u015ft\u0131rmac\u0131lar, Diyet A&#8217;n\u0131n m\u0131 yoksa Diyet B&#8217;nin mi insanlar\u0131n daha fazla kilo vermesine yard\u0131mc\u0131 oldu\u011funu bilmek isteyebilirler. Rastgele se\u00e7ilmi\u015f 100 ki\u015fi A diyetine atand\u0131. Rastgele se\u00e7ilmi\u015f 100 ki\u015fi de B diyetine atand\u0131. \u00dc\u00e7 ay sonra ara\u015ft\u0131rmac\u0131lar her ki\u015finin toplam kilo kayb\u0131n\u0131 kaydediyor. \u0130ki grup aras\u0131ndaki ortalama kilo kayb\u0131n\u0131n \u00f6nemli \u00f6l\u00e7\u00fcde farkl\u0131 olup olmad\u0131\u011f\u0131n\u0131 belirlemek i\u00e7in ara\u015ft\u0131rmac\u0131lar ba\u011f\u0131ms\u0131z bir \u00f6rnek t-testi yapabilir.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>2. E\u015fle\u015ftirilmi\u015f \u00f6rnekler t-testi<\/strong> . Bu, iki grubun ortalamalar\u0131 aras\u0131ndaki fark\u0131 kar\u015f\u0131la\u015ft\u0131rmak istedi\u011fimizde ve bir gruptan gelen her g\u00f6zlemin di\u011fer gruptan bir g\u00f6zlemle ili\u015fkilendirilebildi\u011fi durumlarda kullan\u0131l\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Mesela bir s\u0131n\u0131ftaki 20 \u00f6\u011frencinin s\u0131nava girdi\u011fini, sonra belli bir k\u0131lavuzu okuyup tekrar s\u0131nava girdi\u011fini varsayal\u0131m. Birinci ve ikinci test puanlar\u0131 aras\u0131ndaki fark\u0131 kar\u015f\u0131la\u015ft\u0131rmak i\u00e7in e\u015fle\u015ftirilmi\u015f t testi kullan\u0131yoruz \u00e7\u00fcnk\u00fc her \u00f6\u011frencinin ilk test puan\u0131, ikinci test puan\u0131yla ili\u015fkilendirilebilir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bir t-testinin ge\u00e7erli sonu\u00e7lar \u00fcretmesi i\u00e7in a\u015fa\u011f\u0131daki varsay\u0131mlar\u0131n kar\u015f\u0131lanmas\u0131 gerekir:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>Rastgele:<\/strong> Her iki \u00f6rnek i\u00e7in de veri toplamak amac\u0131yla rastgele bir \u00f6rnek veya rastgele deney kullan\u0131lmal\u0131d\u0131r.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>Normal:<\/strong> \u00d6rnekleme da\u011f\u0131l\u0131m\u0131 normal veya yakla\u015f\u0131k olarak normaldir.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Bu varsay\u0131mlar kar\u015f\u0131lan\u0131rsa, iki grubun ortalamalar\u0131 aras\u0131ndaki fark\u0131 test etmek i\u00e7in t testi kullanmak m\u00fcmk\u00fcnd\u00fcr.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>ANOVA<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\"><span style=\"text-decoration: underline;\">\u00dc\u00e7 veya daha fazla grubun<\/span> ortalamalar\u0131 aras\u0131nda istatistiksel olarak anlaml\u0131 bir fark olup olmad\u0131\u011f\u0131n\u0131 belirlemek i\u00e7in <strong>ANOVA<\/strong> (varyans analizi) kullan\u0131l\u0131r.<\/span> <span style=\"color: #000000;\">Pratikte en s\u0131k kullan\u0131lan ANOVA testleri tek y\u00f6nl\u00fc ANOVA ve iki y\u00f6nl\u00fc ANOVA&#8217;d\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Tek Y\u00f6nl\u00fc ANOVA:<\/strong> Gruplar\u0131n <span style=\"text-decoration: underline;\">tek bir fakt\u00f6re<\/span> g\u00f6re b\u00f6l\u00fcnebildi\u011fi durumlarda \u00fc\u00e7 veya daha fazla grubun ortalamalar\u0131 aras\u0131nda istatistiksel olarak anlaml\u0131 bir fark olup olmad\u0131\u011f\u0131n\u0131 test etmek i\u00e7in kullan\u0131l\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u00d6rnek:<\/strong> 90 ki\u015filik bir s\u0131n\u0131f\u0131 rastgele 30 ki\u015filik \u00fc\u00e7 gruba ay\u0131r\u0131yorsunuz. Her grup bir s\u0131nava haz\u0131rlanmak i\u00e7in bir ay boyunca farkl\u0131 bir \u00e7al\u0131\u015fma tekni\u011fi kullan\u0131yor. Ay sonunda t\u00fcm \u00f6\u011frenciler ayn\u0131 s\u0131nava girerler. \u00c7al\u0131\u015fma tekni\u011finin s\u0131nav puanlar\u0131 \u00fczerinde etkisi olup olmad\u0131\u011f\u0131n\u0131 bilmek istiyorsunuz. Yani \u00fc\u00e7 grubun ortalama puanlar\u0131 aras\u0131nda istatistiksel olarak anlaml\u0131 bir fark olup olmad\u0131\u011f\u0131n\u0131 belirlemek i\u00e7in tek y\u00f6nl\u00fc bir ANOVA ger\u00e7ekle\u015ftirirsiniz.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u0130ki y\u00f6nl\u00fc ANOVA:<\/strong> Gruplar <span style=\"text-decoration: underline;\">iki fakt\u00f6re<\/span> b\u00f6l\u00fcnebildi\u011finde \u00fc\u00e7 veya daha fazla grubun ortalamalar\u0131 aras\u0131nda istatistiksel olarak anlaml\u0131 bir fark olup olmad\u0131\u011f\u0131n\u0131 test etmek i\u00e7in kullan\u0131l\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u00d6rnek:<\/strong> Egzersiz d\u00fczeyinin (egzersiz yapmamak, hafif egzersiz yapmak, yo\u011fun egzersiz yapmak) ve cinsiyetin (erkek, kad\u0131n) kilo kayb\u0131n\u0131 etkileyip etkilemedi\u011fini belirlemek istiyorsunuz. Bu durumda, inceledi\u011finiz iki fakt\u00f6r egzersiz ve cinsiyettir ve yan\u0131t de\u011fi\u015fkeniniz kilo kayb\u0131d\u0131r (pound cinsinden \u00f6l\u00e7\u00fcl\u00fcr). Egzersizin ve cinsiyetin kilo kayb\u0131n\u0131 etkileyip etkilemedi\u011fini belirlemek ve egzersiz ile cinsiyet aras\u0131nda kilo kayb\u0131nda bir etkile\u015fim olup olmad\u0131\u011f\u0131n\u0131 belirlemek i\u00e7in iki y\u00f6nl\u00fc ANOVA ger\u00e7ekle\u015ftirebilirsiniz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bir ANOVA&#8217;n\u0131n ge\u00e7erli sonu\u00e7lar \u00fcretebilmesi i\u00e7in a\u015fa\u011f\u0131daki varsay\u0131mlar\u0131n kar\u015f\u0131lanmas\u0131 gerekir:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>Normallik<\/strong> \u2013 inceledi\u011fimiz t\u00fcm pop\u00fclasyonlar normal bir da\u011f\u0131l\u0131m izler. Yani \u00f6rne\u011fin \u00fc\u00e7 farkl\u0131 \u00f6\u011frenci grubunun s\u0131nav puanlar\u0131n\u0131 kar\u015f\u0131la\u015ft\u0131rmak istiyorsak birinci grubun, ikinci grubun ve \u00fc\u00e7\u00fcnc\u00fc grubun s\u0131nav puanlar\u0131n\u0131n normal da\u011f\u0131lmas\u0131 gerekir.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>E\u015fit varyans<\/strong> \u2013 her gruptaki pop\u00fclasyon varyanslar\u0131 e\u015fit veya yakla\u015f\u0131k olarak e\u015fittir.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>Ba\u011f\u0131ms\u0131zl\u0131k<\/strong> : Her grubun g\u00f6zlemleri birbirinden ba\u011f\u0131ms\u0131z olmal\u0131d\u0131r. Genellikle<\/span> <a href=\"https:\/\/statorials.org\/tr\/istatistiklerde-rastgelelestirme\/\" target=\"_blank\" rel=\"noopener\">rastgele bir tasar\u0131m<\/a> <span style=\"color: #000000;\">bununla ilgilenir.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Bu varsay\u0131mlar kar\u015f\u0131lan\u0131rsa, \u00fc\u00e7 veya daha fazla grubun ortalamalar\u0131 aras\u0131ndaki fark\u0131 test etmek i\u00e7in ANOVA&#8217;n\u0131n kullan\u0131lmas\u0131 m\u00fcmk\u00fcnd\u00fcr.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Her test aras\u0131ndaki farklar\u0131 anlay\u0131n<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">T testi ile ANOVA aras\u0131ndaki temel fark, her iki testin de gruplar aras\u0131nda istatistiksel olarak anlaml\u0131 bir fark olup olmad\u0131\u011f\u0131n\u0131 belirlemek i\u00e7in test istatistiklerini nas\u0131l hesaplad\u0131\u011f\u0131d\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ba\u011f\u0131ms\u0131z \u00f6rnekler t-testi<\/strong> a\u015fa\u011f\u0131daki test istatisti\u011fini kullan\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\">test istatisti\u011fi <em>t<\/em> = [ ( <span style=\"border-top: 1px solid black;\">x<\/span> <sub>1<\/sub> \u2013 <span style=\"border-top: 1px solid black;\">x<\/span> <sub>2<\/sub> ) \u2013 d ] \/ (\u221a <span style=\"border-top: 1px solid black;\">s <sup>2<\/sup> <sub>1<\/sub> \/ n <sub>1<\/sub> + s <sup>2<\/sup> <sub>2<\/sub> \/ n <sub>2<\/sub><\/span> )<\/span><\/p>\n<p> <span style=\"color: #000000;\">burada <span style=\"border-top: 1px solid black;\">x<\/span> <sub>1<\/sub> ve <span style=\"border-top: 1px solid black;\">x<\/span> <sub>2<\/sub> , grup 1 ve 2 i\u00e7in \u00f6rnek ortalamalard\u0131r, <em>d<\/em> , iki ortalama aras\u0131ndaki varsay\u0131msal farkt\u0131r (genellikle s\u0131f\u0131rd\u0131r), s <sub>1<\/sub> <sup>2<\/sup> ve s <sub>2<\/sub> <sup>2<\/sup> , grup 1 ve 2 i\u00e7in \u00f6rnek varyanslard\u0131r ve n <sub>1<\/sub> ve n <sub>2<\/sub> s\u0131ras\u0131yla grup 1 ve 2&#8217;nin \u00f6rnek boyutlar\u0131d\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>E\u015fle\u015ftirilmi\u015f \u00f6rnekler t testi<\/strong> a\u015fa\u011f\u0131daki test istatisti\u011fini kullan\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\">test istatisti\u011fi <em>t<\/em> = <span style=\"border-top: 1px solid black;\">d<\/span> \/ (s <sub>d<\/sub> \/ \u221an)<\/span><\/p>\n<p> <span style=\"color: #000000;\">burada <span style=\"border-top: 1px solid black;\">d<\/span> , iki grup aras\u0131ndaki ortalama farkt\u0131r, <sub>sd<\/sub> , farklar\u0131n standart sapmas\u0131d\u0131r ve n, her grup i\u00e7in \u00f6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fcd\u00fcr (her iki grubun da ayn\u0131 \u00f6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fcne sahip olaca\u011f\u0131n\u0131 unutmay\u0131n).<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>ANOVA<\/strong> a\u015fa\u011f\u0131daki test istatisti\u011fini kullan\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\">test istatisti\u011fi <em>F<\/em> = s <sup>2<\/sup> <sub>b<\/sub> \/ s <sup>2<\/sup> <sub>w<\/sub><\/span><\/p>\n<p> <span style=\"color: #000000;\">burada<\/span> <span style=\"color: #000000;\">s <sup>2<\/sup> <sub>b<\/sub> \u00f6rnekler aras\u0131 varyanst\u0131r ve s <sup>2<\/sup> <sub>w<\/sub> \u00f6rnek i\u00e7i varyanst\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bir t-testi, iki grup aras\u0131ndaki ortalama fark\u0131n, farklar\u0131n genel standart sapmas\u0131na oran\u0131n\u0131 \u00f6l\u00e7er. Bu oran\u0131n yeterince y\u00fcksek olmas\u0131, iki grup aras\u0131nda anlaml\u0131 bir fark oldu\u011funa dair yeterli kan\u0131tt\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">ANOVA ise gruplar aras\u0131ndaki varyans\u0131n grup i\u00e7indeki varyansa oran\u0131n\u0131 \u00f6l\u00e7er. T testi gibi, e\u011fer bu oran yeterince y\u00fcksekse, \u00fc\u00e7 grubun ayn\u0131 ortalamaya sahip olmad\u0131\u011f\u0131na dair yeterli kan\u0131t sa\u011flar.<\/span><\/p>\n<p> <span style=\"color: #000000;\">T testi ile ANOVA aras\u0131ndaki bir di\u011fer \u00f6nemli fark, t testinin bize iki grubun ayn\u0131 ortalamaya sahip olup olmad\u0131\u011f\u0131n\u0131 s\u00f6yleyebilmesidir. \u00d6te yandan ANOVA bize \u00fc\u00e7 grubun ayn\u0131 ortalamaya sahip olup olmad\u0131\u011f\u0131n\u0131 s\u00f6yler ancak <em>hangi<\/em> gruplar\u0131n birbirinden farkl\u0131 ortalamalara sahip oldu\u011funu bize a\u00e7\u0131k\u00e7a s\u00f6ylemez.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Hangi gruplar\u0131n birbirinden farkl\u0131 oldu\u011funu bulmak i\u00e7in <a href=\"https:\/\/statorials.org\/tr\/post-hoc-anova-testleri\/\" target=\"_blank\" rel=\"noopener\">post hoc testler<\/a> gerekli olacakt\u0131r.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Her testin ne zaman kullan\u0131laca\u011f\u0131n\u0131 anlay\u0131n<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">Uygulamada <span style=\"text-decoration: underline;\">iki <em>grubun<\/em><\/span> ortalamalar\u0131n\u0131 kar\u015f\u0131la\u015ft\u0131rmak istedi\u011fimizde t testini kullan\u0131r\u0131z. <span style=\"text-decoration: underline;\">\u00dc\u00e7 veya daha fazla grubun<\/span> ortalamalar\u0131n\u0131 kar\u015f\u0131la\u015ft\u0131rmak istedi\u011fimizde ANOVA kullan\u0131r\u0131z.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00dc\u00e7 veya daha fazla grubun ortalamalar\u0131n\u0131 kar\u015f\u0131la\u015ft\u0131rmak i\u00e7in birden fazla t testi kullanmamam\u0131z\u0131n alt\u0131nda yatan neden, Tip I hata oran\u0131n\u0131n anla\u015f\u0131lmas\u0131na dayanmaktad\u0131r. Diyelim ki \u00fc\u00e7 grubun ortalamalar\u0131n\u0131 kar\u015f\u0131la\u015ft\u0131rmak istiyoruz<\/span> <span style=\"color: #000000;\">: A grubu, B grubu ve C grubu. A\u015fa\u011f\u0131daki \u00fc\u00e7 t-testini ger\u00e7ekle\u015ftirmek isteyebilirsiniz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">A grubu ile B grubu aras\u0131ndaki ortalamalar aras\u0131ndaki fark\u0131 kar\u015f\u0131la\u015ft\u0131rmak i\u00e7in bir t testi<\/span><\/li>\n<li> <span style=\"color: #000000;\">A grubu ile C grubu aras\u0131ndaki ortalamalar aras\u0131ndaki fark\u0131 kar\u015f\u0131la\u015ft\u0131rmak i\u00e7in bir t testi<\/span><\/li>\n<li> <span style=\"color: #000000;\">B grubu ile C grubu aras\u0131ndaki ortalamalar aras\u0131ndaki fark\u0131 kar\u015f\u0131la\u015ft\u0131rmak i\u00e7in bir t testi<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Her t-testi i\u00e7in, <strong>Tip I hata<\/strong> yapma \u015fans\u0131m\u0131z vard\u0131r; bu, s\u0131f\u0131r hipotezi ger\u00e7ekten do\u011fruyken reddetme olas\u0131l\u0131\u011f\u0131m\u0131zd\u0131r. Bu olas\u0131l\u0131k genellikle %5&#8217;tir. Bu da birden fazla t testi yapt\u0131\u011f\u0131m\u0131zda bu hata oran\u0131n\u0131n artt\u0131\u011f\u0131 anlam\u0131na geliyor. \u00d6rne\u011fin:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Tek bir t-testi ile Tip I hata yapma olas\u0131l\u0131\u011f\u0131m\u0131z 1 \u2013 0,95 = <strong>0,05&#8217;tir<\/strong> .<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u0130ki t testiyle Tip I hata yapma olas\u0131l\u0131\u011f\u0131m\u0131z 1 \u2013 (0,95 <sup>2<\/sup> ) = <strong>0,0975&#8217;tir<\/strong> .<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u0130ki t testiyle Tip I hata yapma olas\u0131l\u0131\u011f\u0131m\u0131z 1 \u2013 (0,95 <sup>3<\/sup> ) = <strong>0,1427&#8217;dir<\/strong> .<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Bu hata oran\u0131 kabul edilemeyecek kadar y\u00fcksektir. Neyse ki ANOVA bu hatalar\u0131 kontrol ederek Tip I hatan\u0131n yaln\u0131zca %5&#8217;te kalmas\u0131n\u0131 sa\u011flar. Bu, istatistiksel olarak anlaml\u0131 bir test sonucunun yaln\u0131zca \u00e7ok say\u0131da test yaparak elde etti\u011fimiz bir sonu\u00e7 de\u011fil, ger\u00e7ekten anlaml\u0131 oldu\u011fundan daha emin olmam\u0131z\u0131 sa\u011flar.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Dolay\u0131s\u0131yla \u00fc\u00e7 veya daha fazla grubun ortalamalar\u0131 aras\u0131nda fark olup olmad\u0131\u011f\u0131n\u0131 anlamak istedi\u011fimizde sonu\u00e7lar\u0131m\u0131z\u0131n istatistiksel olarak ge\u00e7erli ve g\u00fcvenilir olmas\u0131 i\u00e7in ANOVA kullanmam\u0131z gerekir.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Bu e\u011fitimde t testi ile ANOVA aras\u0131ndaki fark\u0131n yan\u0131 s\u0131ra her testin ne zaman kullan\u0131laca\u011f\u0131 a\u00e7\u0131klanmaktad\u0131r. T testi \u0130ki grubun ortalamalar\u0131 aras\u0131nda istatistiksel olarak anlaml\u0131 bir fark olup olmad\u0131\u011f\u0131n\u0131 belirlemek i\u00e7in t testi kullan\u0131l\u0131r. \u0130ki t\u00fcr t testi vard\u0131r: 1. Ba\u011f\u0131ms\u0131z \u00f6rnekler t-testi. Bu, iki grubun ortalamalar\u0131 aras\u0131ndaki fark\u0131 kar\u015f\u0131la\u015ft\u0131rmak istedi\u011fimizde ve gruplar\u0131n birbirinden tamamen [&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-525","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>T testi ile ANOVA aras\u0131ndaki fark nedir? - Statoryaller<\/title>\n<meta name=\"description\" content=\"T testi ile ANOVA aras\u0131ndaki fark\u0131n basit bir a\u00e7\u0131klamas\u0131.\" \/>\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\/t-testi-ile-anova-arasindaki-fark-nedir\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"T testi ile ANOVA aras\u0131ndaki fark nedir? - Statoryaller\" \/>\n<meta property=\"og:description\" content=\"T testi ile ANOVA aras\u0131ndaki fark\u0131n basit bir a\u00e7\u0131klamas\u0131.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/tr\/t-testi-ile-anova-arasindaki-fark-nedir\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-29T15:10:43+00:00\" \/>\n<meta name=\"author\" content=\"Dr.benjamin anderson\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Yazan:\" \/>\n\t<meta name=\"twitter:data1\" content=\"Dr.benjamin anderson\" \/>\n\t<meta name=\"twitter:label2\" content=\"Tahmini okuma s\u00fcresi\" \/>\n\t<meta name=\"twitter:data2\" content=\"7 dakika\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/tr\/t-testi-ile-anova-arasindaki-fark-nedir\/\",\"url\":\"https:\/\/statorials.org\/tr\/t-testi-ile-anova-arasindaki-fark-nedir\/\",\"name\":\"T testi ile ANOVA aras\u0131ndaki fark nedir? - Statoryaller\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/tr\/#website\"},\"datePublished\":\"2023-07-29T15:10:43+00:00\",\"dateModified\":\"2023-07-29T15:10:43+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\"},\"description\":\"T testi ile ANOVA aras\u0131ndaki fark\u0131n basit bir a\u00e7\u0131klamas\u0131.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/tr\/t-testi-ile-anova-arasindaki-fark-nedir\/#breadcrumb\"},\"inLanguage\":\"tr\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/tr\/t-testi-ile-anova-arasindaki-fark-nedir\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/tr\/t-testi-ile-anova-arasindaki-fark-nedir\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Ev\",\"item\":\"https:\/\/statorials.org\/tr\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"T testi ile anova aras\u0131ndaki fark nedir?\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/statorials.org\/tr\/#website\",\"url\":\"https:\/\/statorials.org\/tr\/\",\"name\":\"Statorials\",\"description\":\"\u0130statistik okuryazarl\u0131\u011f\u0131 rehberiniz!\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/statorials.org\/tr\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"tr\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\",\"name\":\"Dr.benjamin anderson\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"tr\",\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/statorials.org\/tr\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"contentUrl\":\"https:\/\/statorials.org\/tr\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"caption\":\"Dr.benjamin anderson\"},\"description\":\"Merhaba, ben Benjamin, emekli bir istatistik profes\u00f6r\u00fc ve Statorials \u00f6\u011fretmenine d\u00f6n\u00fc\u015ft\u00fcm. \u0130statistik alan\u0131ndaki kapsaml\u0131 deneyimim ve uzmanl\u0131\u011f\u0131mla, \u00f6\u011frencilerimi Statorials arac\u0131l\u0131\u011f\u0131yla g\u00fc\u00e7lendirmek i\u00e7in bilgilerimi payla\u015fmaya can at\u0131yorum. Daha fazlas\u0131n\u0131 bil\",\"sameAs\":[\"https:\/\/statorials.org\/tr\"]}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"T testi ile ANOVA aras\u0131ndaki fark nedir? - Statoryaller","description":"T testi ile ANOVA aras\u0131ndaki fark\u0131n basit bir a\u00e7\u0131klamas\u0131.","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/statorials.org\/tr\/t-testi-ile-anova-arasindaki-fark-nedir\/","og_locale":"tr_TR","og_type":"article","og_title":"T testi ile ANOVA aras\u0131ndaki fark nedir? - Statoryaller","og_description":"T testi ile ANOVA aras\u0131ndaki fark\u0131n basit bir a\u00e7\u0131klamas\u0131.","og_url":"https:\/\/statorials.org\/tr\/t-testi-ile-anova-arasindaki-fark-nedir\/","og_site_name":"Statorials","article_published_time":"2023-07-29T15:10:43+00:00","author":"Dr.benjamin anderson","twitter_card":"summary_large_image","twitter_misc":{"Yazan:":"Dr.benjamin anderson","Tahmini okuma s\u00fcresi":"7 dakika"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/statorials.org\/tr\/t-testi-ile-anova-arasindaki-fark-nedir\/","url":"https:\/\/statorials.org\/tr\/t-testi-ile-anova-arasindaki-fark-nedir\/","name":"T testi ile ANOVA aras\u0131ndaki fark nedir? - Statoryaller","isPartOf":{"@id":"https:\/\/statorials.org\/tr\/#website"},"datePublished":"2023-07-29T15:10:43+00:00","dateModified":"2023-07-29T15:10:43+00:00","author":{"@id":"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48"},"description":"T testi ile ANOVA aras\u0131ndaki fark\u0131n basit bir a\u00e7\u0131klamas\u0131.","breadcrumb":{"@id":"https:\/\/statorials.org\/tr\/t-testi-ile-anova-arasindaki-fark-nedir\/#breadcrumb"},"inLanguage":"tr","potentialAction":[{"@type":"ReadAction","target":["https:\/\/statorials.org\/tr\/t-testi-ile-anova-arasindaki-fark-nedir\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/statorials.org\/tr\/t-testi-ile-anova-arasindaki-fark-nedir\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Ev","item":"https:\/\/statorials.org\/tr\/"},{"@type":"ListItem","position":2,"name":"T testi ile anova aras\u0131ndaki fark nedir?"}]},{"@type":"WebSite","@id":"https:\/\/statorials.org\/tr\/#website","url":"https:\/\/statorials.org\/tr\/","name":"Statorials","description":"\u0130statistik okuryazarl\u0131\u011f\u0131 rehberiniz!","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/statorials.org\/tr\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"tr"},{"@type":"Person","@id":"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48","name":"Dr.benjamin anderson","image":{"@type":"ImageObject","inLanguage":"tr","@id":"https:\/\/statorials.org\/tr\/#\/schema\/person\/image\/","url":"https:\/\/statorials.org\/tr\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg","contentUrl":"https:\/\/statorials.org\/tr\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg","caption":"Dr.benjamin anderson"},"description":"Merhaba, ben Benjamin, emekli bir istatistik profes\u00f6r\u00fc ve Statorials \u00f6\u011fretmenine d\u00f6n\u00fc\u015ft\u00fcm. \u0130statistik alan\u0131ndaki kapsaml\u0131 deneyimim ve uzmanl\u0131\u011f\u0131mla, \u00f6\u011frencilerimi Statorials arac\u0131l\u0131\u011f\u0131yla g\u00fc\u00e7lendirmek i\u00e7in bilgilerimi payla\u015fmaya can at\u0131yorum. Daha fazlas\u0131n\u0131 bil","sameAs":["https:\/\/statorials.org\/tr"]}]}},"yoast_meta":{"yoast_wpseo_title":"","yoast_wpseo_metadesc":"","yoast_wpseo_canonical":""},"_links":{"self":[{"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/posts\/525","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/comments?post=525"}],"version-history":[{"count":0,"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/posts\/525\/revisions"}],"wp:attachment":[{"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/media?parent=525"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/categories?post=525"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/tags?post=525"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}