{"id":3403,"date":"2023-07-17T16:31:52","date_gmt":"2023-07-17T16:31:52","guid":{"rendered":"https:\/\/statorials.org\/tr\/2x4-faktoriyel-tasarim\/"},"modified":"2023-07-17T16:31:52","modified_gmt":"2023-07-17T16:31:52","slug":"2x4-faktoriyel-tasarim","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/2x4-faktoriyel-tasarim\/","title":{"rendered":"Eksiksiz bir k\u0131lavuz: 2\u00d74 fakt\u00f6riyel tasar\u0131m"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>2&#215;4 fakt\u00f6riyel tasar\u0131m,<\/strong> ara\u015ft\u0131rmac\u0131lar\u0131n iki ba\u011f\u0131ms\u0131z de\u011fi\u015fkenin tek bir ba\u011f\u0131ml\u0131 de\u011fi\u015fken \u00fczerindeki etkilerini anlamalar\u0131na olanak tan\u0131yan bir deney tasar\u0131m\u0131 t\u00fcr\u00fcd\u00fcr.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu tip tasar\u0131mda bir ba\u011f\u0131ms\u0131z de\u011fi\u015fkenin iki <a href=\"https:\/\/statorials.org\/tr\/bagimsiz-degisken-seviyeleri\/\" target=\"_blank\" rel=\"noopener\">d\u00fczeyi<\/a> , di\u011fer ba\u011f\u0131ms\u0131z de\u011fi\u015fkenin ise d\u00f6rt d\u00fczeyi vard\u0131r.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-28543 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/2x4_1.jpg\" alt=\"\" width=\"344\" height=\"260\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, bir botanik\u00e7inin g\u00fcne\u015f \u0131\u015f\u0131\u011f\u0131n\u0131n (yok, d\u00fc\u015f\u00fck, orta veya y\u00fcksek) ve sulama s\u0131kl\u0131\u011f\u0131n\u0131n (g\u00fcnl\u00fck veya haftal\u0131k) belirli bir bitki t\u00fcr\u00fcn\u00fcn b\u00fcy\u00fcmesi \u00fczerindeki etkilerini anlamak istedi\u011fini varsayal\u0131m.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-28544 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/2x4_2.jpg\" alt=\"\" width=\"324\" height=\"244\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Bu 2 \u00d7 4 fakt\u00f6riyel tasar\u0131m\u0131n bir \u00f6rne\u011fidir \u00e7\u00fcnk\u00fc biri iki seviyeli ve di\u011feri d\u00f6rt seviyeli olmak \u00fczere iki ba\u011f\u0131ms\u0131z de\u011fi\u015fken vard\u0131r:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>Ba\u011f\u0131ms\u0131z De\u011fi\u015fken #1:<\/strong> G\u00fcne\u015f I\u015f\u0131\u011f\u0131<\/span>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>Seviyeler:<\/strong> Yok, D\u00fc\u015f\u00fck, Orta, Y\u00fcksek<\/span><\/li>\n<\/ul>\n<\/li>\n<li> <span style=\"color: #000000;\"><strong>Ba\u011f\u0131ms\u0131z de\u011fi\u015fken #2:<\/strong> Sulama s\u0131kl\u0131\u011f\u0131<\/span>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>Seviyeler:<\/strong> g\u00fcnl\u00fck, haftal\u0131k<\/span><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Bir de ba\u011f\u0131ml\u0131 de\u011fi\u015fken var: Bitki b\u00fcy\u00fcmesi.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>2 \u00d7 4 fakt\u00f6riyel tasar\u0131m\u0131n amac\u0131<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">2&#215;4 fakt\u00f6riyel tasar\u0131m a\u015fa\u011f\u0131daki etkilerin analiz edilmesini m\u00fcmk\u00fcn k\u0131lar:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ana etkiler:<\/strong> Bunlar, tek bir ba\u011f\u0131ms\u0131z de\u011fi\u015fkenin ba\u011f\u0131ml\u0131 de\u011fi\u015fken \u00fczerindeki etkileridir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin \u00f6nceki senaryomuzda a\u015fa\u011f\u0131daki ana etkileri analiz edebiliriz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">G\u00fcne\u015f \u0131\u015f\u0131\u011f\u0131n\u0131n bitki b\u00fcy\u00fcmesi \u00fczerindeki ana etkisi.<\/span>\n<ul>\n<li> <span style=\"color: #000000;\">G\u00fcne\u015f \u0131\u015f\u0131\u011f\u0131 almayan t\u00fcm bitkilerin ortalama b\u00fcy\u00fcmesi.<\/span><\/li>\n<li> <span style=\"color: #000000;\">D\u00fc\u015f\u00fck g\u00fcne\u015f \u0131\u015f\u0131\u011f\u0131 alan t\u00fcm bitkilerin ortalama b\u00fcy\u00fcmesi.<\/span><\/li>\n<li> <span style=\"color: #000000;\">Ortalama g\u00fcne\u015f \u0131\u015f\u0131\u011f\u0131 alan t\u00fcm bitkilerin ortalama b\u00fcy\u00fcmesi.<\/span><\/li>\n<li> <span style=\"color: #000000;\">Y\u00fcksek g\u00fcne\u015f \u0131\u015f\u0131\u011f\u0131 alan t\u00fcm bitkilerin ortalama b\u00fcy\u00fcmesi.<\/span><\/li>\n<\/ul>\n<\/li>\n<li> <span style=\"color: #000000;\">Sulama s\u0131kl\u0131\u011f\u0131n\u0131n bitki b\u00fcy\u00fcmesi \u00fczerindeki temel etkisi.<\/span>\n<ul>\n<li> <span style=\"color: #000000;\">G\u00fcnl\u00fck olarak sulanan t\u00fcm bitkilerin ortalama b\u00fcy\u00fcmesi.<\/span><\/li>\n<li> <span style=\"color: #000000;\">Her hafta sulanan t\u00fcm bitkilerin ortalama b\u00fcy\u00fcmesi.<\/span><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>Etkile\u015fim etkileri:<\/strong> Bir ba\u011f\u0131ms\u0131z de\u011fi\u015fkenin ba\u011f\u0131ml\u0131 de\u011fi\u015fken \u00fczerindeki etkisinin di\u011fer ba\u011f\u0131ms\u0131z de\u011fi\u015fkenin d\u00fczeyine ba\u011fl\u0131 olmas\u0131 durumunda ortaya \u00e7\u0131kar.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin \u00f6nceki senaryomuzda a\u015fa\u011f\u0131daki etkile\u015fim etkilerini analiz edebiliriz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">G\u00fcne\u015f \u0131\u015f\u0131\u011f\u0131n\u0131n bitki b\u00fcy\u00fcmesine etkisi sulama s\u0131kl\u0131\u011f\u0131na ba\u011fl\u0131 m\u0131d\u0131r?<\/span><\/li>\n<li> <span style=\"color: #000000;\">Sulama s\u0131kl\u0131\u011f\u0131n\u0131n bitki b\u00fcy\u00fcmesine etkisi g\u00fcne\u015f \u0131\u015f\u0131\u011f\u0131na ba\u011fl\u0131 m\u0131d\u0131r?<\/span><\/li>\n<\/ul>\n<h2> <span style=\"color: #000000;\"><strong>2 \u00d7 4 fakt\u00f6riyel tasar\u0131m nas\u0131l analiz edilir<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">Ba\u011f\u0131ms\u0131z de\u011fi\u015fkenlerin ba\u011f\u0131ml\u0131 de\u011fi\u015fkenle istatistiksel olarak anlaml\u0131 bir ili\u015fkiye sahip olup olmad\u0131\u011f\u0131n\u0131 resmi olarak test etmek i\u00e7in <a href=\"https:\/\/statorials.org\/tr\/iki-yonlu-anova\/\" target=\"_blank\" rel=\"noopener\">iki y\u00f6nl\u00fc bir ANOVA<\/a> ger\u00e7ekle\u015ftirebiliriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin a\u015fa\u011f\u0131daki kod, R&#8217;deki varsay\u0131msal fabrika senaryomuz i\u00e7in iki y\u00f6nl\u00fc ANOVA&#8217;n\u0131n nas\u0131l ger\u00e7ekle\u015ftirilece\u011fini g\u00f6sterir:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#make this example reproducible<\/span>\nset. <span style=\"color: #3366ff;\">seeds<\/span> (0)\n\n<span style=\"color: #008080;\">#createdata\n<\/span>df &lt;- data. <span style=\"color: #3366ff;\">frame<\/span> (sunlight = rep(c(' <span style=\"color: #ff0000;\">None<\/span> ', ' <span style=\"color: #ff0000;\">Low<\/span> ', ' <span style=\"color: #ff0000;\">Medium<\/span> ', ' <span style=\"color: #ff0000;\">High<\/span> '), each= <span style=\"color: #008000;\">10<\/span> , times= <span style=\"color: #008000;\">2<\/span> ),\n                 water = rep(c(' <span style=\"color: #ff0000;\">Daily<\/span> ', ' <span style=\"color: #ff0000;\">Weekly<\/span> '), each= <span style=\"color: #008000;\">40<\/span> , times= <span style=\"color: #008000;\">2<\/span> ),\n                 growth = c(rnorm(10, 8, 2), rnorm(10, 8, 3), rnorm(10, 13, 2),\n                            rnorm(10, 14, 3), rnorm(10, 10, 4), rnorm(10, 12, 3),\n                            rnorm(10, 13, 2), rnorm(10, 14, 4)))\n\n<span style=\"color: #008080;\">#fit the two-way ANOVA model\n<\/span>model &lt;- aov(growth ~ sunlight * water, data = df)\n\n<span style=\"color: #008080;\">#view the model output\n<\/span>summary(model)\n\n                Df Sum Sq Mean Sq F value Pr(&gt;F)    \nsunlight 3 744.1 248.04 34.16 &lt; 2e-16 ***\nwater 1 43.1 43.05 5.93 0.016 *  \nsunlight:water 3 195.8 65.27 8.99 1.61e-05 ***\nResiduals 152 1103.5 7.26                     \n---\nSignificant. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">ANOVA sonucunun nas\u0131l yorumlanaca\u011f\u0131 a\u015fa\u011f\u0131da a\u00e7\u0131klanm\u0131\u015ft\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ana etki #1 (g\u00fcne\u015f \u0131\u015f\u0131\u011f\u0131)<\/strong> : G\u00fcne\u015f \u0131\u015f\u0131\u011f\u0131yla ili\u015fkili p de\u011feri <strong>&lt;2e-16&#8217;d\u0131r<\/strong> . Bu say\u0131n\u0131n 0,05&#8217;ten k\u00fc\u00e7\u00fck olmas\u0131 g\u00fcne\u015f \u0131\u015f\u0131\u011f\u0131na maruz kalman\u0131n bitki b\u00fcy\u00fcmesi \u00fczerinde istatistiksel olarak anlaml\u0131 bir etkiye sahip oldu\u011fu anlam\u0131na gelir.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ana etki #2 (Su)<\/strong> : Suyla ili\u015fkili p de\u011feri <strong>0,016&#8217;d\u0131r<\/strong> . Bu rakam\u0131n 0,05&#8217;ten k\u00fc\u00e7\u00fck olmas\u0131 sulama s\u0131kl\u0131\u011f\u0131n\u0131n da bitki b\u00fcy\u00fcmesi \u00fczerinde istatistiksel olarak anlaml\u0131 bir etkiye sahip oldu\u011fu anlam\u0131na gelir.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Etkile\u015fim etkisi<\/strong> : G\u00fcne\u015f \u0131\u015f\u0131\u011f\u0131 ile su aras\u0131ndaki etkile\u015fimin p de\u011feri <strong>0,000061&#8217;dir<\/strong> . Bu de\u011ferin 0,05&#8217;ten k\u00fc\u00e7\u00fck olmas\u0131 g\u00fcne\u015f \u0131\u015f\u0131\u011f\u0131 ile su aras\u0131nda etkile\u015fim etkisi oldu\u011fu anlam\u0131na gelir.<\/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 deneysel tasar\u0131m ve analiz hakk\u0131nda ek bilgi sa\u011flar:<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/tr\/2x2-faktoriyel-tasarim\/\" target=\"_blank\" rel=\"noopener\">Eksiksiz bir k\u0131lavuz: 2 \u00d7 2 fakt\u00f6riyel tasar\u0131m<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/2x3-faktoriyel-tasarim\/\" target=\"_blank\" rel=\"noopener\">Eksiksiz bir k\u0131lavuz: 2 \u00d7 3 fakt\u00f6riyel tasar\u0131m<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/faktoriyel-anova\/\" target=\"_blank\" rel=\"noopener\">Fakt\u00f6riyel ANOVA nedir?<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>2&#215;4 fakt\u00f6riyel tasar\u0131m, ara\u015ft\u0131rmac\u0131lar\u0131n iki ba\u011f\u0131ms\u0131z de\u011fi\u015fkenin tek bir ba\u011f\u0131ml\u0131 de\u011fi\u015fken \u00fczerindeki etkilerini anlamalar\u0131na olanak tan\u0131yan bir deney tasar\u0131m\u0131 t\u00fcr\u00fcd\u00fcr. Bu tip tasar\u0131mda bir ba\u011f\u0131ms\u0131z de\u011fi\u015fkenin iki d\u00fczeyi , di\u011fer ba\u011f\u0131ms\u0131z de\u011fi\u015fkenin ise d\u00f6rt d\u00fczeyi vard\u0131r. \u00d6rne\u011fin, bir botanik\u00e7inin g\u00fcne\u015f \u0131\u015f\u0131\u011f\u0131n\u0131n (yok, d\u00fc\u015f\u00fck, orta veya y\u00fcksek) ve sulama s\u0131kl\u0131\u011f\u0131n\u0131n (g\u00fcnl\u00fck veya haftal\u0131k) belirli bir bitki [&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-3403","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>Eksiksiz bir k\u0131lavuz: 2x4 fakt\u00f6riyel tasar\u0131m - Statoryaller<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde, bir tan\u0131m ve \u00f6rnek de dahil olmak \u00fczere 2x4 fakt\u00f6riyel tasar\u0131ma bir giri\u015f sa\u011flanmaktad\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\/2x4-faktoriyel-tasarim\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Eksiksiz bir k\u0131lavuz: 2x4 fakt\u00f6riyel tasar\u0131m - 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