{"id":1572,"date":"2023-07-25T20:07:28","date_gmt":"2023-07-25T20:07:28","guid":{"rendered":"https:\/\/statorials.org\/tr\/tek-yonlu-ve-cift-yonlu-anova\/"},"modified":"2023-07-25T20:07:28","modified_gmt":"2023-07-25T20:07:28","slug":"tek-yonlu-ve-cift-yonlu-anova","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/tek-yonlu-ve-cift-yonlu-anova\/","title":{"rendered":"Tek y\u00f6nl\u00fc veya iki y\u00f6nl\u00fc anova: ne zaman kullan\u0131lmal\u0131?"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">&#8220;Varyans Analizi&#8221;nin k\u0131saltmas\u0131 olan <strong>ANOVA<\/strong> , \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 kullan\u0131l\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">ANOVA&#8217;n\u0131n en yayg\u0131n iki t\u00fcr\u00fc 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> Bir fakt\u00f6r\u00fcn yan\u0131t de\u011fi\u015fkenini nas\u0131l etkiledi\u011fini belirlemek i\u00e7in kullan\u0131l\u0131r.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-15580 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/oneway_twoway1.png\" alt=\"\" width=\"532\" height=\"97\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u0130ki y\u00f6nl\u00fc ANOVA:<\/strong> \u0130ki fakt\u00f6r\u00fcn bir yan\u0131t de\u011fi\u015fkenini nas\u0131l etkiledi\u011fini belirlemek ve yan\u0131t de\u011fi\u015fkeni \u00fczerinde iki fakt\u00f6r aras\u0131nda bir etkile\u015fim olup olmad\u0131\u011f\u0131n\u0131 belirlemek i\u00e7in kullan\u0131l\u0131r.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-15581 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/oneway_twoway2.png\" alt=\"\" width=\"530\" height=\"193\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki \u00f6rnekler, her ANOVA t\u00fcr\u00fcn\u00fcn nas\u0131l ger\u00e7ekle\u015ftirilece\u011fine ili\u015fkin bir \u00f6rnek sa\u011flar.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek: Tek y\u00f6nl\u00fc ANOVA<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Bir profes\u00f6r\u00fcn \u00fc\u00e7 farkl\u0131 \u00e7al\u0131\u015fma tekni\u011finin farkl\u0131 test puanlar\u0131na yol a\u00e7\u0131p a\u00e7mad\u0131\u011f\u0131n\u0131 bilmek istedi\u011fini varsayal\u0131m. Bunu test etmek i\u00e7in 30 \u00f6\u011frenciyi bir \u00e7al\u0131\u015fmaya kat\u0131yor ve her birinden rastgele bir s\u0131nava haz\u0131rlanmak i\u00e7in \u00fc\u00e7 teknikten birini kullanmalar\u0131n\u0131 istiyor. Bir ay sonra t\u00fcm \u00f6\u011frenciler ayn\u0131 s\u0131nava girer.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Her \u00f6\u011frencinin test sonu\u00e7lar\u0131 a\u015fa\u011f\u0131da g\u00f6sterilmektedir:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-15582 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/oneway_twoway3.png\" alt=\"\" width=\"228\" height=\"288\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Profes\u00f6r tek y\u00f6nl\u00fc bir ANOVA ger\u00e7ekle\u015ftirir ve a\u015fa\u011f\u0131daki sonu\u00e7lar\u0131 elde eder:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-15583 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/oneway_twoway4.png\" alt=\"\" width=\"495\" height=\"326\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">F testi istatisti\u011fi <strong>2,3575&#8217;tir<\/strong> ve kar\u015f\u0131l\u0131k gelen p de\u011feri <strong>0,1138&#8217;dir<\/strong> . Bu p de\u011feri 0,05&#8217;ten az olmad\u0131\u011f\u0131ndan, \u00fc\u00e7 \u00e7al\u0131\u015fma tekni\u011finin farkl\u0131 ortalama s\u0131nav puanlar\u0131na yol a\u00e7t\u0131\u011f\u0131n\u0131 s\u00f6yleyecek yeterli kan\u0131t\u0131m\u0131z yok.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek: \u0130ki y\u00f6nl\u00fc ANOVA<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Bir botanik\u00e7inin 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 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. Sonu\u00e7lar a\u015fa\u011f\u0131da g\u00f6sterilmektedir:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-15585 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/oneway_twoway5.png\" alt=\"\" width=\"408\" height=\"266\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Profes\u00f6r iki y\u00f6nl\u00fc bir ANOVA ger\u00e7ekle\u015ftirir ve a\u015fa\u011f\u0131daki sonu\u00e7lar\u0131 elde eder:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-15586 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/oneway_twoway6.png\" alt=\"\" width=\"506\" height=\"154\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Sonu\u00e7lar\u0131 nas\u0131l yorumlayaca\u011f\u0131n\u0131z a\u015fa\u011f\u0131da a\u00e7\u0131klanm\u0131\u015ft\u0131r:<\/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>0,000003<\/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. 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<h3> <strong>Pratik: Hangi ANOVA&#8217;y\u0131 kullanmal\u0131s\u0131n\u0131z?<\/strong><\/h3>\n<p> <span style=\"color: #000000;\">Tek y\u00f6nl\u00fc veya iki y\u00f6nl\u00fc ANOVA&#8217;y\u0131 ne zaman kullanman\u0131z gerekti\u011fini daha iyi anlamak i\u00e7in a\u015fa\u011f\u0131daki uygulama problemlerini kullan\u0131n.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Sorun #1: Tar\u0131m<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Bir \u00e7ift\u00e7i, \u00fc\u00e7 farkl\u0131 g\u00fcbrenin farkl\u0131 verim sa\u011flay\u0131p sa\u011flamad\u0131\u011f\u0131n\u0131 bilmek istiyor. Bunu test etmek i\u00e7in her t\u00fcr g\u00fcbreyi 10 farkl\u0131 tarlaya serpiyor ve b\u00fcy\u00fcme mevsimi sonundaki toplam verimi \u00f6l\u00e7\u00fcyor.<\/span><\/p>\n<p> <em><span style=\"color: #000000;\">Farkl\u0131 g\u00fcbrelerin farkl\u0131 \u00fcr\u00fcn verimine yol a\u00e7\u0131p a\u00e7mad\u0131\u011f\u0131n\u0131 belirlemek i\u00e7in ne t\u00fcr ANOVA kullanmal\u0131d\u0131r?<\/span><\/em><\/p>\n<p> <span style=\"color: #000000;\"><strong>Cevap:<\/strong> Tek y\u00f6nl\u00fc ANOVA kullanmal\u0131d\u0131r \u00e7\u00fcnk\u00fc yaln\u0131zca tek bir fakt\u00f6re bakmaktad\u0131r: g\u00fcbre. Tek y\u00f6nl\u00fc bir ANOVA, ona \u00fc\u00e7 farkl\u0131 g\u00fcbre t\u00fcr\u00fc aras\u0131nda mahsul verimi a\u00e7\u0131s\u0131ndan istatistiksel olarak anlaml\u0131 bir fark olup olmad\u0131\u011f\u0131n\u0131 s\u00f6yleyebilir.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Sorun #2: Biyoloji<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Bir biyolog, farkl\u0131 toprak seviyelerinin (d\u00fc\u015f\u00fck, orta, y\u00fcksek) ve sulama s\u0131kl\u0131klar\u0131n\u0131n (haftal\u0131k, ayl\u0131k) belirli bir bitkinin b\u00fcy\u00fcmesini nas\u0131l etkiledi\u011fini bilmek ister.<\/span><\/p>\n<p> <em><span style=\"color: #000000;\">Farkl\u0131 g\u00fcne\u015fe maruz kalma ve sulama s\u0131kl\u0131\u011f\u0131 kombinasyonlar\u0131n\u0131n farkl\u0131 bitki b\u00fcy\u00fcmesi d\u00fczeylerine yol a\u00e7\u0131p a\u00e7mad\u0131\u011f\u0131n\u0131 belirlemek i\u00e7in ne t\u00fcr ANOVA kullan\u0131lmal\u0131d\u0131r?<\/span><\/em><\/p>\n<p> <span style=\"color: #000000;\"><strong>Cevap:<\/strong> \u0130ki y\u00f6nl\u00fc bir ANOVA kullanmal\u0131d\u0131r \u00e7\u00fcnk\u00fc iki fakt\u00f6re bakmaktad\u0131r: g\u00fcne\u015f \u0131\u015f\u0131\u011f\u0131na maruz kalma ve sulama s\u0131kl\u0131\u011f\u0131. \u0130ki y\u00f6nl\u00fc bir ANOVA, her fakt\u00f6r\u00fcn farkl\u0131 seviyelerinin bitki b\u00fcy\u00fcmesini farkl\u0131 \u015fekilde etkileyip etkilemedi\u011fini ve g\u00fcne\u015f \u0131\u015f\u0131\u011f\u0131 ile sulama s\u0131kl\u0131\u011f\u0131 aras\u0131nda bitki b\u00fcy\u00fcmesi \u00fczerinde bir etkile\u015fim etkisinin olup olmad\u0131\u011f\u0131n\u0131 s\u00f6yleyebilir.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Sorun 3: \u0130la\u00e7lar<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Bir t\u0131bbi ara\u015ft\u0131rmac\u0131, d\u00f6rt farkl\u0131 ilac\u0131n hastalarda kan bas\u0131nc\u0131nda farkl\u0131 ortalama d\u00fc\u015f\u00fc\u015flere neden olup olmad\u0131\u011f\u0131n\u0131 bilmek istiyor. Her ilac\u0131 bir ay boyunca kullanacak 20 hastay\u0131 rastgele se\u00e7iyor ve ard\u0131ndan her hastadaki kan bas\u0131nc\u0131ndaki d\u00fc\u015f\u00fc\u015f\u00fc \u00f6l\u00e7\u00fcyor.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><em>D\u00f6rt farkl\u0131 ilac\u0131n kan bas\u0131nc\u0131n\u0131 d\u00fc\u015f\u00fcrmede farkl\u0131 etkileri olup olmad\u0131\u011f\u0131n\u0131 belirlemek i\u00e7in ne t\u00fcr ANOVA kullan\u0131lmal\u0131d\u0131r?<\/em><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Cevap:<\/strong> Tek y\u00f6nl\u00fc ANOVA kullanmal\u0131d\u0131r \u00e7\u00fcnk\u00fc yaln\u0131zca tek bir fakt\u00f6re bakmaktad\u0131r: ilac\u0131n t\u00fcr\u00fcne. Tek y\u00f6nl\u00fc bir ANOVA, d\u00f6rt ila\u00e7 t\u00fcr\u00fc aras\u0131nda ortalama kan bas\u0131nc\u0131 d\u00fc\u015f\u00fc\u015f\u00fcnde istatistiksel olarak anlaml\u0131 bir fark olup olmad\u0131\u011f\u0131n\u0131 s\u00f6yleyebilir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Tek y\u00f6nl\u00fc ANOVA&#8217;y\u0131 daha iyi anlamak i\u00e7in a\u015fa\u011f\u0131daki e\u011fitimleri kullan\u0131n:<\/span><\/p>\n<ul>\n<li> <a href=\"https:\/\/statorials.org\/tr\/tek-yonlu-anova\/\" target=\"_blank\" rel=\"noopener\">Tek Y\u00f6nl\u00fc ANOVA&#8217;ya Giri\u015f<\/a><\/li>\n<li> <a href=\"https:\/\/statorials.org\/tr\/tek-yonlu-anova-excel\/\" target=\"_blank\" rel=\"noopener\">Excel&#8217;de Tek Y\u00f6nl\u00fc ANOVA Nas\u0131l Ger\u00e7ekle\u015ftirilir<\/a><\/li>\n<li> <a href=\"https:\/\/statorials.org\/tr\/tek-yonlu-anova-r\/\">R&#8217;de tek y\u00f6nl\u00fc ANOVA nas\u0131l ger\u00e7ekle\u015ftirilir<\/a><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u0130ki y\u00f6nl\u00fc ANOVA&#8217;y\u0131 daha iyi anlamak i\u00e7in bu e\u011fitimleri kullan\u0131n:<\/span><\/p>\n<ul>\n<li> <a href=\"https:\/\/statorials.org\/tr\/iki-yonlu-anova\/\" target=\"_blank\" rel=\"noopener\">\u0130ki Y\u00f6nl\u00fc ANOVA&#8217;ya Giri\u015f<\/a><\/li>\n<li> <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><\/li>\n<li> <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><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>&#8220;Varyans Analizi&#8221;nin k\u0131saltmas\u0131 olan ANOVA , \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 kullan\u0131l\u0131r. ANOVA&#8217;n\u0131n en yayg\u0131n iki t\u00fcr\u00fc tek y\u00f6nl\u00fc ANOVA ve iki y\u00f6nl\u00fc ANOVA&#8217;d\u0131r. Tek y\u00f6nl\u00fc ANOVA: Bir fakt\u00f6r\u00fcn yan\u0131t de\u011fi\u015fkenini nas\u0131l etkiledi\u011fini belirlemek i\u00e7in kullan\u0131l\u0131r. \u0130ki y\u00f6nl\u00fc ANOVA: \u0130ki fakt\u00f6r\u00fcn bir yan\u0131t [&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-1572","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>Tek y\u00f6nl\u00fc veya iki y\u00f6nl\u00fc ANOVA: ne zaman kullan\u0131lmal\u0131?<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde, tek y\u00f6nl\u00fc veya iki y\u00f6nl\u00fc ANOVA&#039;n\u0131n yan\u0131 s\u0131ra her y\u00f6ntemi ne zaman kullanman\u0131z gerekti\u011fi hakk\u0131nda basit 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