{"id":1508,"date":"2023-07-26T02:42:57","date_gmt":"2023-07-26T02:42:57","guid":{"rendered":"https:\/\/statorials.org\/tr\/faktoriyel-anova\/"},"modified":"2023-07-26T02:42:57","modified_gmt":"2023-07-26T02:42:57","slug":"faktoriyel-anova","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/faktoriyel-anova\/","title":{"rendered":"Fakt\u00f6riyel anova nedir? (tan\u0131m &amp; #038; \u00f6rnek)"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>Fakt\u00f6riyel ANOVA,<\/strong> iki veya daha fazla ba\u011f\u0131ms\u0131z fakt\u00f6r ve tek bir yan\u0131t de\u011fi\u015fkeni kullanan herhangi bir ANOVA&#8217;d\u0131r (&#8220;varyans analizi&#8221;).<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu t\u00fcr ANOVA, iki veya daha fazla fakt\u00f6r\u00fcn bir <a href=\"https:\/\/statorials.org\/tr\/degiskenleri-aciklayici-yanitlar\/\" target=\"_blank\" rel=\"noopener\">yan\u0131t de\u011fi\u015fkenini<\/a> nas\u0131l etkiledi\u011fini ve fakt\u00f6rler aras\u0131nda yan\u0131t de\u011fi\u015fkeni \u00fczerinde bir etkile\u015fim etkisinin olup olmad\u0131\u011f\u0131n\u0131 anlamak istedi\u011finizde kullan\u0131lmal\u0131d\u0131r.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-14968 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/factorielleanova1.png\" alt=\"Fakt\u00f6riyel ANOVA\" width=\"539\" height=\"474\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Bu e\u011fitimde fakt\u00f6riyel ANOVA&#8217;n\u0131n kullan\u0131labilece\u011fi durumlar\u0131n \u00e7e\u015fitli \u00f6rneklerinin yan\u0131 s\u0131ra fakt\u00f6riyel ANOVA&#8217;n\u0131n nas\u0131l ger\u00e7ekle\u015ftirilece\u011fine ili\u015fkin ad\u0131m ad\u0131m bir \u00f6rnek sunulmaktad\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Not:<\/strong> <a href=\"https:\/\/statorials.org\/tr\/iki-yonlu-anova\/\" target=\"_blank\" rel=\"noopener\">\u0130ki y\u00f6nl\u00fc ANOVA,<\/a> fakt\u00f6riyel ANOVA&#8217;n\u0131n bir t\u00fcr\u00fcd\u00fcr.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Fakt\u00f6riyel ANOVA kullanma \u00f6rnekleri<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">Fakt\u00f6riyel ANOVA a\u015fa\u011f\u0131daki durumlar\u0131n her birinde kullan\u0131labilir.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u00d6rnek 1: Bitki B\u00fcy\u00fcmesi<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Bir botanik\u00e7i g\u00fcne\u015fe maruz kalman\u0131n ve sulama s\u0131kl\u0131\u011f\u0131n\u0131n bitki b\u00fcy\u00fcmesini nas\u0131l etkiledi\u011fini anlamak ister. 100 tohum ekiyor ve bunlar\u0131n de\u011fi\u015fen g\u00fcne\u015f \u0131\u015f\u0131\u011f\u0131 ko\u015fullar\u0131 ve sulama s\u0131kl\u0131\u011f\u0131 alt\u0131nda \u00fc\u00e7 ay boyunca b\u00fcy\u00fcmelerine izin veriyor. \u00dc\u00e7 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 sahiptir:<\/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 istiyor:<\/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?<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u0130ki fakt\u00f6r\u00fcn tek bir yan\u0131t de\u011fi\u015fkenini nas\u0131l etkiledi\u011fini anlamak istedi\u011fi i\u00e7in bu analiz i\u00e7in fakt\u00f6riyel ANOVA kullanabilir.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u00d6rnek 2: S\u0131nav sonu\u00e7lar\u0131<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Bir profes\u00f6r ders saatinin ve \u00f6\u011fretim y\u00f6nteminin s\u0131nav sonu\u00e7lar\u0131n\u0131 nas\u0131l etkiledi\u011fini anlamak istiyor. \u0130ki farkl\u0131 \u00f6\u011fretim y\u00f6ntemi ve iki farkl\u0131 \u00f6\u011fretim saati (sabah erken ve \u00f6\u011fleden sonra) kullan\u0131r ve her \u00f6\u011frencinin d\u00f6nem sonundaki ortalama s\u0131nav puanlar\u0131n\u0131 kaydeder.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu durumda a\u015fa\u011f\u0131daki de\u011fi\u015fkenlere sahiptir:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>Yan\u0131t de\u011fi\u015fkeni:<\/strong> s\u0131nav puan\u0131<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>Fakt\u00f6rler:<\/strong> \u00f6\u011fretim y\u00f6ntemi, \u00f6\u011fretim s\u00fcresi<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Ve \u015fu sorulara yan\u0131t vermek istiyor:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u00d6\u011fretim y\u00f6ntemi s\u0131nav sonu\u00e7lar\u0131n\u0131 etkiler mi?<\/span><\/li>\n<li> <span style=\"color: #000000;\">Ders verme s\u00fcresi s\u0131nav puanlar\u0131n\u0131 etkiler mi?<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u00d6\u011fretim y\u00f6ntemi ile \u00f6\u011fretim s\u00fcresi aras\u0131nda etkile\u015fim etkisi var m\u0131d\u0131r?<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u0130ki fakt\u00f6r\u00fcn tek bir yan\u0131t de\u011fi\u015fkenini nas\u0131l etkiledi\u011fini anlamak istedi\u011fi i\u00e7in bu analiz i\u00e7in fakt\u00f6riyel ANOVA kullanabilir.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u00d6rnek 3: Y\u0131ll\u0131k gelir<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Bir ekonomist, e\u011fitim d\u00fczeyinin (lise diplomas\u0131, \u00fcniversite diplomas\u0131, y\u00fcksek lisans), medeni durumun (bekar, bo\u015fanm\u0131\u015f, evli) ve b\u00f6lgenin (Kuzey, Do\u011fu, G\u00fcney, Bat\u0131) y\u0131ll\u0131k geliri nas\u0131l etkiledi\u011fini anlamak i\u00e7in veri toplar.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu durumda a\u015fa\u011f\u0131daki de\u011fi\u015fkenlere sahiptir:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>Yan\u0131t de\u011fi\u015fkeni:<\/strong> y\u0131ll\u0131k gelir<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>Fakt\u00f6rler:<\/strong> e\u011fitim d\u00fczeyi, medeni durum, b\u00f6lge<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Ve \u015fu sorulara yan\u0131t vermek istiyor:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">E\u011fitim d\u00fczeyi geliri etkiler mi?<\/span><\/li>\n<li> <span style=\"color: #000000;\">Medeni durum geliri etkiler mi?<\/span><\/li>\n<li> <span style=\"color: #000000;\">B\u00f6lge geliri etkiler mi?<\/span><\/li>\n<li> <span style=\"color: #000000;\">Bu \u00fc\u00e7 ba\u011f\u0131ms\u0131z fakt\u00f6r aras\u0131nda etkile\u015fim etkisi var m\u0131?<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u00dc\u00e7 fakt\u00f6r\u00fcn tek bir yan\u0131t de\u011fi\u015fkenini nas\u0131l etkiledi\u011fini anlamak istedi\u011fi i\u00e7in bu analiz i\u00e7in fakt\u00f6riyel ANOVA kullanabilir.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Fakt\u00f6riyel ANOVA&#8217;n\u0131n ad\u0131m ad\u0131m \u00f6rne\u011fi<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">Bir botanik\u00e7i g\u00fcne\u015f \u0131\u015f\u0131\u011f\u0131na maruz kalman\u0131n ve sulama s\u0131kl\u0131\u011f\u0131n\u0131n bitki b\u00fcy\u00fcmesini etkileyip etkilemedi\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.<\/span><\/p>\n<p> <span style=\"color: #000000;\">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\" alt=\"\" width=\"392\" height=\"241\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Her ko\u015ful kombinasyonunda be\u015f bitkinin yeti\u015ftirildi\u011fini g\u00f6rebiliriz.<\/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=\"size-full wp-image-1453 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/2wayanova2.png\" alt=\"\" width=\"392\" height=\"241\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Botanik\u00e7i bu verileri <a href=\"https:\/\/statorials.org\/tr\/cift-yonlu-anova-excel\/\" target=\"_blank\" rel=\"noopener\">Excel&#8217;de fakt\u00f6riyel bir ANOVA<\/a> ger\u00e7ekle\u015ftirmek i\u00e7in kullan\u0131r 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=\"\" width=\"626\" height=\"575\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Son tablo fakt\u00f6riyel ANOVA&#8217;n\u0131n sonucunu g\u00f6stermektedir:<\/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;\">G\u00fcne\u015f \u0131\u015f\u0131\u011f\u0131na maruz kalman\u0131n bitki b\u00fcy\u00fcmesi \u00fczerinde istatistiksel olarak anlaml\u0131 etkiye sahip tek fakt\u00f6r oldu\u011fu sonucuna varabiliriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ayr\u0131ca g\u00fcne\u015fe maruz kalma ile sulama s\u0131kl\u0131\u011f\u0131 aras\u0131nda herhangi bir etkile\u015fim etkisinin olmad\u0131\u011f\u0131 ve sulama s\u0131kl\u0131\u011f\u0131n\u0131n bitki b\u00fcy\u00fcmesi \u00fczerinde istatistiksel olarak anlaml\u0131 bir etkisinin olmad\u0131\u011f\u0131 sonucuna varabiliriz. bitkiler.<\/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\u011fitimler ANOVA modelleri hakk\u0131nda ek bilgi sa\u011flar:<\/span><\/p>\n<p> <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\/anova-tekrarlanan-olcumler\/\" target=\"_blank\" rel=\"noopener\">Tekrarlanan \u00d6l\u00e7\u00fcmlere Giri\u015f ANOVA<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/anova-ancova-manova-mancova-arasindaki-farklar\/\" target=\"_blank\" rel=\"noopener\">ANOVA, ANCOVA, MANOVA ve MANCOVA aras\u0131ndaki farklar<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Fakt\u00f6riyel ANOVA, iki veya daha fazla ba\u011f\u0131ms\u0131z fakt\u00f6r ve tek bir yan\u0131t de\u011fi\u015fkeni kullanan herhangi bir ANOVA&#8217;d\u0131r (&#8220;varyans analizi&#8221;). Bu t\u00fcr ANOVA, iki veya daha fazla fakt\u00f6r\u00fcn bir yan\u0131t de\u011fi\u015fkenini nas\u0131l etkiledi\u011fini ve fakt\u00f6rler aras\u0131nda yan\u0131t de\u011fi\u015fkeni \u00fczerinde bir etkile\u015fim etkisinin olup olmad\u0131\u011f\u0131n\u0131 anlamak istedi\u011finizde kullan\u0131lmal\u0131d\u0131r. Bu e\u011fitimde fakt\u00f6riyel ANOVA&#8217;n\u0131n kullan\u0131labilece\u011fi durumlar\u0131n \u00e7e\u015fitli \u00f6rneklerinin yan\u0131 [&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-1508","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>Fakt\u00f6riyel ANOVA nedir? 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