{"id":428,"date":"2023-07-29T23:41:11","date_gmt":"2023-07-29T23:41:11","guid":{"rendered":"https:\/\/statorials.org\/tr\/iki-yonlu-anova\/"},"modified":"2023-07-29T23:41:11","modified_gmt":"2023-07-29T23:41:11","slug":"iki-yonlu-anova","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/iki-yonlu-anova\/","title":{"rendered":"I\u0307ki y\u00f6nl\u00fc anova: tan\u0131m, form\u00fcl ve \u00f6rnek"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>\u0130ki de\u011fi\u015fkene (bazen &#8220;fakt\u00f6rler&#8221; olarak da adland\u0131r\u0131l\u0131r) atanan \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 bir ANOVA<\/strong> (&#8220;varyans analizi&#8221;) kullan\u0131l\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu e\u011fitimde a\u015fa\u011f\u0131dakiler a\u00e7\u0131klanmaktad\u0131r:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u0130ki y\u00f6nl\u00fc ANOVA ne zaman kullan\u0131l\u0131r?<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u0130ki y\u00f6nl\u00fc ANOVA ger\u00e7ekle\u015ftirmek i\u00e7in kar\u015f\u0131lanmas\u0131 gereken varsay\u0131mlar.<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u0130ki y\u00f6nl\u00fc ANOVA&#8217;n\u0131n nas\u0131l ger\u00e7ekle\u015ftirilece\u011fine bir \u00f6rnek.<\/span><\/li>\n<\/ul>\n<h2> <span style=\"color: #000000;\"><strong>\u0130ki y\u00f6nl\u00fc ANOVA ne zaman kullan\u0131l\u0131r?<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">\u0130ki fakt\u00f6r\u00fcn bir yan\u0131t de\u011fi\u015fkenini nas\u0131l etkiledi\u011fini ve iki fakt\u00f6r aras\u0131nda yan\u0131t de\u011fi\u015fkeni \u00fczerinde bir etkile\u015fim etkisinin olup olmad\u0131\u011f\u0131n\u0131 bilmek istedi\u011finizde iki y\u00f6nl\u00fc ANOVA kullanmal\u0131s\u0131n\u0131z.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, bir botanik\u00e7inin g\u00fcne\u015fe maruz kalman\u0131n ve sulama s\u0131kl\u0131\u011f\u0131n\u0131n bitki b\u00fcy\u00fcmesini nas\u0131l etkiledi\u011fini ara\u015ft\u0131rmak istedi\u011fini varsayal\u0131m. 40 tohum ekiyor ve iki ay boyunca farkl\u0131 g\u00fcne\u015f \u0131\u015f\u0131\u011f\u0131 ko\u015fullar\u0131nda ve sulama s\u0131kl\u0131\u011f\u0131nda b\u00fcy\u00fcmelerini sa\u011fl\u0131yor. \u0130ki ay sonra her bitkinin y\u00fcksekli\u011fini kaydediyor.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu durumda a\u015fa\u011f\u0131daki de\u011fi\u015fkenlere sahibiz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>Tepki de\u011fi\u015fkeni:<\/strong> bitki b\u00fcy\u00fcmesi<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>Fakt\u00f6rler:<\/strong> g\u00fcne\u015fe maruz kalma, sulama s\u0131kl\u0131\u011f\u0131<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Ve \u015fu sorulara yan\u0131t vermek istiyoruz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">G\u00fcne\u015fe maruz kalmak bitki b\u00fcy\u00fcmesini etkiler mi?<\/span><\/li>\n<li> <span style=\"color: #000000;\">Sulama s\u0131kl\u0131\u011f\u0131 bitki b\u00fcy\u00fcmesini etkiler mi?<\/span><\/li>\n<li> <span style=\"color: #000000;\">G\u00fcne\u015fe maruz kalma ile sulama s\u0131kl\u0131\u011f\u0131 aras\u0131nda bir etkile\u015fim etkisi var m\u0131? (\u00f6rne\u011fin g\u00fcne\u015fe maruz kalman\u0131n bitkiler \u00fczerindeki etkisi sulama s\u0131kl\u0131\u011f\u0131na ba\u011fl\u0131d\u0131r)<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Bu analiz i\u00e7in iki y\u00f6nl\u00fc ANOVA kullanaca\u011f\u0131z \u00e7\u00fcnk\u00fc <strong>iki<\/strong> fakt\u00f6r\u00fcm\u00fcz var. Bunun yerine, yaln\u0131zca sulama s\u0131kl\u0131\u011f\u0131n\u0131n bitki b\u00fcy\u00fcmesini ne kadar etkiledi\u011fini bilmek isteseydik, yaln\u0131zca tek fakt\u00f6rle \u00e7al\u0131\u015faca\u011f\u0131m\u0131z i\u00e7in <a href=\"https:\/\/statorials.org\/tr\/tek-yonlu-anova\/\" target=\"_blank\" rel=\"noopener\">tek y\u00f6nl\u00fc ANOVA<\/a> kullan\u0131rd\u0131k.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>\u0130ki y\u00f6nl\u00fc ANOVA&#8217;n\u0131n varsay\u0131mlar\u0131<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">\u0130ki y\u00f6nl\u00fc ANOVA sonu\u00e7lar\u0131n\u0131n ge\u00e7erli olabilmesi i\u00e7in a\u015fa\u011f\u0131daki varsay\u0131mlar\u0131n kar\u015f\u0131lanmas\u0131 gerekir:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>1. Normallik<\/strong> \u2013 Yan\u0131t de\u011fi\u015fkeni her grup i\u00e7in yakla\u015f\u0131k olarak normal \u015fekilde da\u011f\u0131t\u0131l\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>2. E\u015fit Varyasyonlar<\/strong> \u2013 Her grup i\u00e7in varyanslar yakla\u015f\u0131k olarak e\u015fit olmal\u0131d\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>3. Ba\u011f\u0131ms\u0131zl\u0131k<\/strong> \u2013 Her grup i\u00e7indeki g\u00f6zlemler birbirinden ba\u011f\u0131ms\u0131zd\u0131r ve gruplar i\u00e7indeki g\u00f6zlemler rastgele \u00f6rnekleme yoluyla elde edilmi\u015ftir.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>\u0130ki y\u00f6nl\u00fc ANOVA: \u00f6rnek<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">Bir botanik\u00e7i bitki b\u00fcy\u00fcmesinin g\u00fcne\u015f \u0131\u015f\u0131\u011f\u0131na maruz kalma ve sulama s\u0131kl\u0131\u011f\u0131ndan etkilenip etkilenmedi\u011fini bilmek ister. 40 tohum ekiyor ve iki ay boyunca farkl\u0131 g\u00fcne\u015f \u0131\u015f\u0131\u011f\u0131 ko\u015fullar\u0131nda ve sulama s\u0131kl\u0131\u011f\u0131nda b\u00fcy\u00fcmelerini sa\u011fl\u0131yor. \u0130ki ay sonra her bitkinin y\u00fcksekli\u011fini kaydediyor. Sonu\u00e7lar a\u015fa\u011f\u0131da g\u00f6sterilmektedir:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-1451 size-full\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/2wayanova1.png\" sizes=\"auto, \" srcset=\"\" alt=\"Excel'de iki y\u00f6nl\u00fc ANOVA tablosu\" width=\"392\" height=\"241\"><\/p>\n<p> <span style=\"color: #000000;\">Yukar\u0131daki tabloda her bir ko\u015ful kombinasyonunda be\u015f bitkinin yeti\u015ftirildi\u011fini g\u00f6r\u00fcyoruz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, be\u015f bitki g\u00fcnl\u00fck sulamayla ve g\u00fcne\u015f \u0131\u015f\u0131\u011f\u0131 olmadan b\u00fcy\u00fct\u00fcld\u00fc ve iki ay sonra boylar\u0131 4,8 in\u00e7, 4,4 in\u00e7, 3,2 in\u00e7, 3,9 in\u00e7 ve 4,4 in\u00e7 oldu:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-1453 size-full\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/2wayanova2.png\" sizes=\"auto, \" srcset=\"\" alt=\"Excel'de iki y\u00f6nl\u00fc ANOVA verileri\" width=\"392\" height=\"241\"><\/p>\n<p> <span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/tr\/cift-yonlu-anova-excel\/\" target=\"_blank\" rel=\"noopener\">Excel&#8217;de iki y\u00f6nl\u00fc bir ANOVA<\/a> ger\u00e7ekle\u015ftirir ve a\u015fa\u011f\u0131daki sonucu elde eder:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-1457 size-full\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/2wayanova6-1.jpg\" alt=\"\u0130ki y\u00f6nl\u00fc ANOVA \u00e7\u0131k\u0131\u015f\u0131\" width=\"626\" height=\"575\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Son tablo iki y\u00f6nl\u00fc ANOVA&#8217;n\u0131n sonucunu g\u00f6stermektedir. \u015eunlar\u0131 g\u00f6zlemleyebiliriz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Sulama s\u0131kl\u0131\u011f\u0131 ile g\u00fcne\u015fe maruz kalma aras\u0131ndaki etkile\u015fimin p de\u011feri <strong>0,310898<\/strong> idi. Bu durum 0,05 alfa d\u00fczeyinde istatistiksel olarak anlaml\u0131 de\u011fildir.<\/span><\/li>\n<li> <span style=\"color: #000000;\">Sulama s\u0131kl\u0131\u011f\u0131na ili\u015fkin p de\u011feri <strong>0,975975&#8217;tir<\/strong> . Bu durum 0,05 alfa d\u00fczeyinde istatistiksel olarak anlaml\u0131 de\u011fildir.<\/span><\/li>\n<li> <span style=\"color: #000000;\">G\u00fcne\u015fe maruz kalman\u0131n p de\u011feri <strong>3,9E-8 (0,000000039)<\/strong> idi. Bu, 0,05 alfa seviyesinde istatistiksel olarak anlaml\u0131d\u0131r.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Bu sonu\u00e7lar, bitki boyu \u00fczerinde istatistiksel olarak anlaml\u0131 etkiye sahip tek fakt\u00f6r\u00fcn g\u00fcne\u015fe maruz kalma oldu\u011funu g\u00f6stermektedir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Etkile\u015fim etkisi olmad\u0131\u011f\u0131ndan g\u00fcne\u015fe maruz kalman\u0131n etkisi, sulama s\u0131kl\u0131\u011f\u0131n\u0131n her seviyesinde tutarl\u0131d\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Basit\u00e7e s\u00f6ylemek gerekirse, bir bitkinin g\u00fcnl\u00fck veya haftal\u0131k olarak sulanmas\u0131n\u0131n, g\u00fcne\u015fe maruz kalman\u0131n bitkiyi nas\u0131l etkiledi\u011fi \u00fczerinde hi\u00e7bir etkisi yoktur.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki makaleler, farkl\u0131 istatistiksel yaz\u0131l\u0131mlar kullan\u0131larak iki y\u00f6nl\u00fc ANOVA&#8217;n\u0131n nas\u0131l ger\u00e7ekle\u015ftirilece\u011fini a\u00e7\u0131klamaktad\u0131r:<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/tr\/cift-yonlu-anova-excel\/\">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\/\">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\/\">SPSS&#8217;de \u0130ki Y\u00f6nl\u00fc ANOVA Nas\u0131l Ger\u00e7ekle\u015ftirilir<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/iki-yonlu-anova-durumu\/\">Stata&#8217;da iki y\u00f6nl\u00fc ANOVA nas\u0131l ger\u00e7ekle\u015ftirilir?<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0130ki de\u011fi\u015fkene (bazen &#8220;fakt\u00f6rler&#8221; olarak da adland\u0131r\u0131l\u0131r) atanan \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 bir ANOVA (&#8220;varyans analizi&#8221;) kullan\u0131l\u0131r. Bu e\u011fitimde a\u015fa\u011f\u0131dakiler a\u00e7\u0131klanmaktad\u0131r: \u0130ki y\u00f6nl\u00fc ANOVA ne zaman kullan\u0131l\u0131r? \u0130ki y\u00f6nl\u00fc ANOVA ger\u00e7ekle\u015ftirmek i\u00e7in kar\u015f\u0131lanmas\u0131 gereken varsay\u0131mlar. \u0130ki y\u00f6nl\u00fc ANOVA&#8217;n\u0131n nas\u0131l ger\u00e7ekle\u015ftirilece\u011fine [&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-428","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: tan\u0131m, form\u00fcl ve \u00f6rnek - Statoryaller<\/title>\n<meta name=\"description\" content=\"Resmi bir tan\u0131m ve ad\u0131m ad\u0131m \u00f6rnek i\u00e7eren, iki y\u00f6nl\u00fc ANOVA&#039;ya basit bir giri\u015f.\" \/>\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-anova\/\" \/>\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: tan\u0131m, form\u00fcl ve \u00f6rnek - 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