{"id":1289,"date":"2023-07-27T00:18:37","date_gmt":"2023-07-27T00:18:37","guid":{"rendered":"https:\/\/statorials.org\/tr\/eta-kare\/"},"modified":"2023-07-27T00:18:37","modified_gmt":"2023-07-27T00:18:37","slug":"eta-kare","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/eta-kare\/","title":{"rendered":"Eta karesi nedir? (tan\u0131m &amp; #038; \u00f6rnek)"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>Eta kare,<\/strong> ANOVA modellerinde yayg\u0131n olarak kullan\u0131lan <a href=\"https:\/\/statorials.org\/tr\/etki-boyutu\/\" target=\"_blank\" rel=\"noopener\">etki b\u00fcy\u00fckl\u00fc\u011f\u00fcn\u00fcn<\/a> bir \u00f6l\u00e7\u00fcs\u00fcd\u00fcr.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bir ANOVA modelinde her bir ana etki ve etkile\u015fim etkisi ile ili\u015fkili varyans\u0131n oran\u0131n\u0131 \u00f6l\u00e7er.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Eta Kare Nas\u0131l Hesaplan\u0131r?<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Eta kareyi hesaplama form\u00fcl\u00fc basittir:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Eta kare = SS <sub>etkisi<\/sub> \/ <sub>toplam<\/sub> SS<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>SS <sub>Etkisi<\/sub> :<\/strong> Bir de\u011fi\u015fkene ili\u015fkin etkinin karelerinin toplam\u0131.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong><sub>Toplam<\/sub> SS:<\/strong> ANOVA modelindeki karelerin toplam\u0131.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Eta kare de\u011feri 0 ila 1 aras\u0131nda de\u011fi\u015fir; burada 1&#8217;e yak\u0131n de\u011ferler, modeldeki belirli bir de\u011fi\u015fken taraf\u0131ndan a\u00e7\u0131klanabilecek daha y\u00fcksek varyans oran\u0131n\u0131 g\u00f6sterir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Eta kare de\u011ferlerini yorumlamak i\u00e7in a\u015fa\u011f\u0131daki temel kurallar kullan\u0131l\u0131r:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>0,01:<\/strong> K\u00fc\u00e7\u00fck etki boyutu<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>.06:<\/strong> Ortalama etki b\u00fcy\u00fckl\u00fc\u011f\u00fc<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>0,14 veya daha b\u00fcy\u00fck:<\/strong> b\u00fcy\u00fck etki boyutu<\/span><\/li>\n<\/ul>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek: Eta kareyi hesaplama<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Diyelim ki egzersiz yo\u011funlu\u011funun ve cinsiyetin kilo kayb\u0131n\u0131 etkileyip etkilemedi\u011fini belirlemek istiyoruz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bunu test etmek i\u00e7in, 30 erkek ve 30 kad\u0131n\u0131 bir deneye kat\u0131lmak \u00fczere g\u00f6revlendiriyoruz; her birinden 10 ki\u015fiyi rastgele olarak bir ay boyunca egzersizsiz, hafif egzersiz veya yo\u011fun egzersiz program\u0131na tabi tutacak \u015fekilde atad\u0131k.<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki tablo, fakt\u00f6r olarak egzersiz ve cinsiyeti ve <a href=\"https:\/\/statorials.org\/tr\/degiskenleri-aciklayici-yanitlar\/\" target=\"_blank\" rel=\"noopener\">yan\u0131t de\u011fi\u015fkeni<\/a> olarak kilo kayb\u0131n\u0131 kullanan <a href=\"https:\/\/statorials.org\/tr\/iki-yonlu-anova\/\" target=\"_blank\" rel=\"noopener\">iki y\u00f6nl\u00fc ANOVA&#8217;n\u0131n<\/a> sonu\u00e7lar\u0131n\u0131 sunmaktad\u0131r:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 17px;\"> <strong>Df Sum Sq Mean Sq F value p value    \ngender 1 15.8 15.80 9.916 0.00263\nexercise 2 505.6 252.78 158.610 &lt; 2e-16\nResiduals 56 89.2 1.59  \n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Toplam kareler toplam\u0131 olan SS <sub>toplam\u0131n\u0131<\/sub> \u015fu \u015fekilde hesaplayabiliriz: 15,8 + 505,6 + 89,2 = <strong>610,6<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Daha sonra cinsiyet ve egzersiz i\u00e7in Eta karesini \u015fu \u015fekilde hesaplayabiliriz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Cinsiyet i\u00e7in Eta karesi: 15,8 \/ 610,6 = <strong>0,02588<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">Egzersiz i\u00e7in Eta karesi: 505,6 \/ 610,6 = <strong>0,828<\/strong><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Egzersiz i\u00e7in etki b\u00fcy\u00fckl\u00fc\u011f\u00fcn\u00fcn \u00e7ok b\u00fcy\u00fck oldu\u011fu, cinsiyet i\u00e7in etki b\u00fcy\u00fckl\u00fc\u011f\u00fcn\u00fcn ise olduk\u00e7a k\u00fc\u00e7\u00fck oldu\u011fu sonucuna varabiliriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu sonu\u00e7lar ANOVA tablosu sonucunda g\u00f6r\u00fcnt\u00fclenen p de\u011ferlerine kar\u015f\u0131l\u0131k gelir. Egzersiz i\u00e7in p de\u011feri (&lt;0,000), cinsiyet i\u00e7in p de\u011ferinden (0,00263) \u00e7ok daha k\u00fc\u00e7\u00fckt\u00fcr, bu da egzersizin kilo kayb\u0131n\u0131 \u00f6ng\u00f6rmede \u00e7ok daha anlaml\u0131 oldu\u011funu g\u00f6stermektedir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu \u00f6rnek ayn\u0131 zamanda Eta karenin neden yararl\u0131 oldu\u011funu da g\u00f6stermektedir: Cinsiyet istatistiksel olarak anlaml\u0131 olmas\u0131na ra\u011fmen (p = 0,00263), bununla ili\u015fkili etki b\u00fcy\u00fckl\u00fc\u011f\u00fc asl\u0131nda olduk\u00e7a k\u00fc\u00e7\u00fckt\u00fcr.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bir <a href=\"https:\/\/statorials.org\/tr\/p-degerleri-istatistiksel-anlamlilik\/\" target=\"_blank\" rel=\"noopener\">p de\u011feri<\/a> bize yaln\u0131zca iki de\u011fi\u015fken aras\u0131nda anlaml\u0131 bir ili\u015fki olup olmad\u0131\u011f\u0131n\u0131 s\u00f6yleyebilir, ancak Eta kare gibi bir etki b\u00fcy\u00fckl\u00fc\u011f\u00fc \u00f6l\u00e7\u00fcm\u00fc bize de\u011fi\u015fkenler aras\u0131ndaki ili\u015fkinin g\u00fcc\u00fcn\u00fc s\u00f6yleyebilir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h3>\n<p> <a href=\"https:\/\/statorials.org\/tr\/kismi-eta-kare\/\" target=\"_blank\" rel=\"noopener\">K\u0131smi ETA&#8217;n\u0131n karesi nedir?<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/tek-yonlu-anova\/\" target=\"_blank\" rel=\"noopener\">Tek Y\u00f6nl\u00fc ANOVA&#8217;ya Giri\u015f<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/iki-yonlu-anova\/\" target=\"_blank\" rel=\"noopener\">\u0130ki Y\u00f6nl\u00fc ANOVA&#8217;ya Giri\u015f<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/post-hoc-anova-testleri\/\" target=\"_blank\" rel=\"noopener\">ANOVA ile Post-Hoc Testini Kullanma K\u0131lavuzu<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Eta kare, ANOVA modellerinde yayg\u0131n olarak kullan\u0131lan etki b\u00fcy\u00fckl\u00fc\u011f\u00fcn\u00fcn bir \u00f6l\u00e7\u00fcs\u00fcd\u00fcr. Bir ANOVA modelinde her bir ana etki ve etkile\u015fim etkisi ile ili\u015fkili varyans\u0131n oran\u0131n\u0131 \u00f6l\u00e7er. Eta Kare Nas\u0131l Hesaplan\u0131r? Eta kareyi hesaplama form\u00fcl\u00fc basittir: Eta kare = SS etkisi \/ toplam SS Alt\u0131n: SS Etkisi : Bir de\u011fi\u015fkene ili\u015fkin etkinin karelerinin toplam\u0131. Toplam SS: [&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-1289","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>Eta karesi nedir? 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