{"id":4057,"date":"2023-07-13T21:42:44","date_gmt":"2023-07-13T21:42:44","guid":{"rendered":"https:\/\/statorials.org\/tr\/iki-yonlu-f-anova-degeri\/"},"modified":"2023-07-13T21:42:44","modified_gmt":"2023-07-13T21:42:44","slug":"iki-yonlu-f-anova-degeri","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/iki-yonlu-f-anova-degeri\/","title":{"rendered":"I\u0307ki y\u00f6nl\u00fc anova&#39;da f de\u011ferleri nas\u0131l yorumlan\u0131r?"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/tr\/iki-yonlu-anova\/\" target=\"_blank\" rel=\"noopener\">\u0130ki de\u011fi\u015fkene b\u00f6l\u00fcnm\u00fc\u015f \u00fc\u00e7 veya daha fazla ba\u011f\u0131ms\u0131z grubun ortalamalar\u0131 aras\u0131nda istatistiksel olarak anlaml\u0131 bir fark olup olmad\u0131\u011f\u0131n\u0131 belirlemek i\u00e7in iki y\u00f6nl\u00fc ANOVA<\/a> kullan\u0131l\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Her iki y\u00f6nl\u00fc ANOVA ger\u00e7ekle\u015ftirdi\u011finizde a\u015fa\u011f\u0131daki gibi bir \u00f6zet tablo elde edersiniz:<\/span><\/p>\n<table>\n<tbody>\n<tr>\n<th style=\"text-align: center;\"> <span style=\"color: #000000;\"><strong>Kaynak<\/strong><\/span><\/th>\n<th style=\"text-align: center;\"> <span style=\"color: #000000;\"><strong>Kareler toplam\u0131 (SS)<\/strong><\/span><\/th>\n<th style=\"text-align: center;\"> <span style=\"color: #000000;\"><strong>df<\/strong><\/span><\/th>\n<th style=\"text-align: center;\"> <span style=\"color: #000000;\"><strong>Ortalama kareler (MS)<\/strong><\/span><\/th>\n<th style=\"text-align: center;\"> <span style=\"color: #000000;\"><strong>F<\/strong><\/span><\/th>\n<th style=\"text-align: center;\"> <span style=\"color: #000000;\"><strong>P de\u011feri<\/strong><\/span><\/th>\n<\/tr>\n<tr>\n<td> <span style=\"color: #000000;\"><strong>Fakt\u00f6r 1<\/strong><\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">15.8<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">1<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">15.8<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">11.205<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">0,0015<\/span><\/td>\n<\/tr>\n<tr>\n<td> <span style=\"color: #000000;\"><strong>Fakt\u00f6r 2<\/strong><\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">505.6<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">2<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">252.78<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">179.087<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">0.0000<\/span><\/td>\n<\/tr>\n<tr>\n<td> <span style=\"color: #000000;\"><strong>Etkile\u015fim<\/strong><\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">13.0<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">2<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">6.5<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">4.609<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">0,0141<\/span><\/td>\n<\/tr>\n<tr>\n<td> <span style=\"color: #000000;\"><strong>Kal\u0131nt\u0131<\/strong><\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">76.2<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">54<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">1.41<\/span><\/td>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p> <span style=\"color: #000000;\">Tablodaki <strong>F de\u011ferlerinin<\/strong> her biri \u015fu \u015fekilde hesaplan\u0131r:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">F de\u011feri = Ortalama kareler \/ Art\u0131k ortalama kareler<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><span style=\"color: #000000;\">Her F de\u011ferinin ayn\u0131 zamanda kar\u015f\u0131l\u0131k gelen bir p de\u011feri vard\u0131r.<\/span><\/span><\/p>\n<p> <span style=\"color: #000000;\"><span style=\"color: #000000;\">P de\u011feri belirli bir e\u015fi\u011fin alt\u0131ndaysa (\u00f6rne\u011fin \u03b1 = 0,05), fakt\u00f6r\u00fcn \u00f6l\u00e7t\u00fc\u011f\u00fcm\u00fcz sonu\u00e7 \u00fczerinde istatistiksel olarak anlaml\u0131 bir etkiye sahip oldu\u011fu sonucuna var\u0131r\u0131z.<\/span><\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki \u00f6rnek, pratikte iki y\u00f6nl\u00fc ANOVA&#8217;da F de\u011ferlerinin nas\u0131l yorumlanaca\u011f\u0131n\u0131 g\u00f6stermektedir.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>\u00d6rnek: \u0130ki Y\u00f6nl\u00fc ANOVA&#8217;da F De\u011ferlerini Yorumlamak<\/strong><\/span><\/h2>\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;\">Her birinden 10&#8217;unu bir ay boyunca egzersizsiz, hafif egzersiz veya yo\u011fun egzersiz program\u0131na uyacak \u015fekilde rastgele atad\u0131\u011f\u0131m\u0131z bir deneye kat\u0131lmak \u00fczere 30 erkek ve 30 kad\u0131n topluyoruz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Daha sonra istatistiksel yaz\u0131l\u0131m\u0131 kullanarak iki y\u00f6nl\u00fc bir ANOVA ger\u00e7ekle\u015ftiririz ve a\u015fa\u011f\u0131daki sonucu al\u0131r\u0131z:<\/span><\/p>\n<table>\n<tbody>\n<tr>\n<th style=\"text-align: center;\"> <span style=\"color: #000000;\"><strong>Kaynak<\/strong><\/span><\/th>\n<th style=\"text-align: center;\"> <span style=\"color: #000000;\"><strong>Kareler toplam\u0131 (SS)<\/strong><\/span><\/th>\n<th style=\"text-align: center;\"> <span style=\"color: #000000;\"><strong>df<\/strong><\/span><\/th>\n<th style=\"text-align: center;\"> <span style=\"color: #000000;\"><strong>Ortalama kareler (MS)<\/strong><\/span><\/th>\n<th style=\"text-align: center;\"> <span style=\"color: #000000;\"><strong>F<\/strong><\/span><\/th>\n<th style=\"text-align: center;\"> <span style=\"color: #000000;\"><strong>P de\u011feri<\/strong><\/span><\/th>\n<\/tr>\n<tr>\n<td> <span style=\"color: #000000;\"><strong>Cinsiyet<\/strong><\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">15.8<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">1<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">15.8<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">11.205<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">0,0015<\/span><\/td>\n<\/tr>\n<tr>\n<td> <span style=\"color: #000000;\"><strong>Egzersiz yapmak<\/strong><\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">505.6<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">2<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">252.78<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">179.087<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">0,0000<\/span><\/td>\n<\/tr>\n<tr>\n<td> <span style=\"color: #000000;\"><strong>Cinsiyet * Egzersiz<\/strong><\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">13.0<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">2<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">6.5<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">4.609<\/span><\/td>\n<td style=\"text-align: center;\"> 0,0141<\/td>\n<\/tr>\n<tr>\n<td> <span style=\"color: #000000;\"><strong>Kal\u0131nt\u0131<\/strong><\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">76.2<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">54<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">1.41<\/span><\/td>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p> <span style=\"color: #000000;\">\u00c7\u0131kt\u0131daki her F de\u011ferinin nas\u0131l yorumlanaca\u011f\u0131 a\u015fa\u011f\u0131da a\u00e7\u0131klanm\u0131\u015ft\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Cinsiyet<\/strong> :<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">F de\u011feri \u015fu \u015fekilde hesaplan\u0131r: MS Cinsiyeti \/ MS Kal\u0131nt\u0131lar\u0131 = 15,8 \/ 1,41 = <strong>11,197<\/strong> .<\/span><\/li>\n<li> <span style=\"color: #000000;\">Kar\u015f\u0131l\u0131k gelen p de\u011feri <strong>0,0015&#8217;tir<\/strong> .<\/span><\/li>\n<li> <span style=\"color: #000000;\">Bu p de\u011feri 0,05&#8217;ten k\u00fc\u00e7\u00fck oldu\u011fundan cinsiyetin kilo kayb\u0131 \u00fczerinde istatistiksel olarak anlaml\u0131 bir etkiye sahip oldu\u011fu sonucuna var\u0131yoruz.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>Egzersiz<\/strong> :<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">F de\u011feri \u015fu \u015fekilde hesaplan\u0131r: MS Egzersizi \/ MS Kal\u0131nt\u0131lar\u0131 = 252,78 \/ 1,41 = <strong>179,087<\/strong> .<\/span><\/li>\n<li> <span style=\"color: #000000;\">Kar\u015f\u0131l\u0131k gelen p de\u011feri <strong>&lt;.0000&#8217;dir<\/strong> .<\/span><\/li>\n<li> <span style=\"color: #000000;\">Bu p de\u011feri 0,05&#8217;ten k\u00fc\u00e7\u00fck oldu\u011fundan egzersizin kilo kayb\u0131 \u00fczerinde istatistiksel olarak anlaml\u0131 bir etkisinin oldu\u011fu sonucuna var\u0131yoruz.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>Cinsiyet * Egzersiz<\/strong> :<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">F de\u011feri \u015fu \u015fekilde hesaplan\u0131r: MS Cinsiyet * Egzersiz \/ MS Kal\u0131nt\u0131lar\u0131 = 6,5 \/ 1,41 = <strong>4,609<\/strong> .<\/span><\/li>\n<li> <span style=\"color: #000000;\">Kar\u015f\u0131l\u0131k gelen p de\u011feri <strong>0,0141&#8217;dir<\/strong> .<\/span><\/li>\n<li> <span style=\"color: #000000;\">Bu p de\u011feri 0,05&#8217;ten k\u00fc\u00e7\u00fck oldu\u011fundan cinsiyet ve egzersiz aras\u0131ndaki etkile\u015fimin kilo kayb\u0131 \u00fczerinde istatistiksel olarak anlaml\u0131 bir etkiye sahip oldu\u011fu sonucuna var\u0131yoruz.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><span style=\"color: #000000;\">Bu \u00f6zel \u00f6rnekte, her iki fakt\u00f6r\u00fcn de (cinsiyet ve egzersiz) yan\u0131t de\u011fi\u015fkeni (kilo kayb\u0131) \u00fczerinde istatistiksel olarak anlaml\u0131 bir etkisi vard\u0131 ve iki fakt\u00f6r aras\u0131ndaki etkile\u015fimin de yan\u0131t de\u011fi\u015fkeni \u00fczerinde istatistiksel olarak anlaml\u0131 bir etkisi vard\u0131.<\/span><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Not<\/strong> : Etkile\u015fim etkisi istatistiksel olarak anlaml\u0131 oldu\u011funda, iki fakt\u00f6r aras\u0131ndaki etkile\u015fimi daha iyi anlamak ve iki fakt\u00f6r\u00fcn yan\u0131t de\u011fi\u015fkenini tam olarak nas\u0131l etkiledi\u011fini g\u00f6rselle\u015ftirmek i\u00e7in bir <a href=\"https:\/\/statorials.org\/tr\/etkilesim-grafigi-r\/\" target=\"_blank\" rel=\"noopener\">etkile\u015fim grafi\u011fi<\/a> olu\u015fturabilirsiniz.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki e\u011fitimlerde farkl\u0131 istatistiksel yaz\u0131l\u0131mlar kullan\u0131larak iki y\u00f6nl\u00fc ANOVA&#8217;n\u0131n nas\u0131l ger\u00e7ekle\u015ftirilece\u011fi a\u00e7\u0131klanmaktad\u0131r:<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/tr\/cift-yonlu-anova-excel\/\" target=\"_blank\" rel=\"noopener\">Excel&#8217;de \u0130ki Y\u00f6nl\u00fc ANOVA Nas\u0131l Ger\u00e7ekle\u015ftirilir<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/anova-ra-iki-yonlu\/\" target=\"_blank\" rel=\"noopener\">R&#8217;de iki y\u00f6nl\u00fc ANOVA nas\u0131l ger\u00e7ekle\u015ftirilir<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/python-anova-cift-yonlu\/\" target=\"_blank\" rel=\"noopener\">Python&#8217;da \u0130ki Y\u00f6nl\u00fc ANOVA Nas\u0131l Ger\u00e7ekle\u015ftirilir<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/iki-yonlu-anova-spss\/\" target=\"_blank\" rel=\"noopener\">SPSS&#8217;de \u0130ki Y\u00f6nl\u00fc ANOVA Nas\u0131l Ger\u00e7ekle\u015ftirilir<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0130ki de\u011fi\u015fkene b\u00f6l\u00fcnm\u00fc\u015f \u00fc\u00e7 veya daha fazla ba\u011f\u0131ms\u0131z grubun ortalamalar\u0131 aras\u0131nda istatistiksel olarak anlaml\u0131 bir fark olup olmad\u0131\u011f\u0131n\u0131 belirlemek i\u00e7in iki y\u00f6nl\u00fc ANOVA kullan\u0131l\u0131r. Her iki y\u00f6nl\u00fc ANOVA ger\u00e7ekle\u015ftirdi\u011finizde a\u015fa\u011f\u0131daki gibi bir \u00f6zet tablo elde edersiniz: Kaynak Kareler toplam\u0131 (SS) df Ortalama kareler (MS) F P de\u011feri Fakt\u00f6r 1 15.8 1 15.8 11.205 0,0015 Fakt\u00f6r [&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-4057","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>\u0130ki y\u00f6nl\u00fc ANOVA&#039;da F de\u011ferleri nas\u0131l yorumlan\u0131r - Statorials<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde f de\u011ferlerinin iki y\u00f6nl\u00fc ANOVA&#039;da nas\u0131l yorumlanaca\u011f\u0131 bir \u00f6rnekle a\u00e7\u0131klanmaktad\u0131r.\" \/>\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\/iki-yonlu-f-anova-degeri\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u0130ki y\u00f6nl\u00fc ANOVA&#039;da F de\u011ferleri nas\u0131l yorumlan\u0131r - 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