{"id":1729,"date":"2023-07-25T05:32:56","date_gmt":"2023-07-25T05:32:56","guid":{"rendered":"https:\/\/statorials.org\/tr\/2x2-faktoriyel-tasarim\/"},"modified":"2023-07-25T05:32:56","modified_gmt":"2023-07-25T05:32:56","slug":"2x2-faktoriyel-tasarim","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/2x2-faktoriyel-tasarim\/","title":{"rendered":"Eksiksiz bir k\u0131lavuz: 2\u00d72 fakt\u00f6riyel tasar\u0131m"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>2 \u00d7 2 fakt\u00f6riyel tasar\u0131m,<\/strong> ara\u015ft\u0131rmac\u0131lar\u0131n iki ba\u011f\u0131ms\u0131z de\u011fi\u015fkenin (her biri iki <a href=\"https:\/\/statorials.org\/tr\/bagimsiz-degisken-seviyeleri\/\" target=\"_blank\" rel=\"noopener\">d\u00fczeyde<\/a> ) tek bir ba\u011f\u0131ml\u0131 de\u011fi\u015fken \u00fczerindeki etkilerini anlamalar\u0131na olanak tan\u0131yan bir deneysel tasar\u0131m t\u00fcr\u00fcd\u00fcr.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-16989\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/2x2_1.png\" alt=\"2x2 fakt\u00f6riyel tasar\u0131m\" width=\"344\" height=\"183\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, bir botanik\u00e7inin g\u00fcne\u015f \u0131\u015f\u0131\u011f\u0131n\u0131n (d\u00fc\u015f\u00fck 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=\"aligncenter wp-image-16990\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/2x2_2.png\" alt=\"2x2 fakt\u00f6riyel tasar\u0131m \u00f6rne\u011fi\" width=\"312\" height=\"158\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Bu 2&#215;2 fakt\u00f6riyel tasar\u0131m\u0131n bir \u00f6rne\u011fidir \u00e7\u00fcnk\u00fc her biri iki seviyeye sahip 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> d\u00fc\u015f\u00fck, 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<h3> <span style=\"color: #000000;\"><strong>2 \u00d7 2 fakt\u00f6riyel tasar\u0131m\u0131n amac\u0131<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">2&#215;2 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;\">Az g\u00fcne\u015f \u0131\u015f\u0131\u011f\u0131 alan t\u00fcm bitkilerin ortalama b\u00fcy\u00fcmelerini bulabiliriz.<\/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\u00fcmelerini bulabiliriz.<\/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 sulanan t\u00fcm bitkilerin ortalama b\u00fcy\u00fcmelerini bulabiliriz.<\/span><\/li>\n<li> <span style=\"color: #000000;\">Her hafta sulanan t\u00fcm bitkilerin ortalama b\u00fcy\u00fcmesini bulabiliriz.<\/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<h3> <span style=\"color: #000000;\"><strong>Ana efektleri ve etkile\u015fim efektlerini g\u00f6rselle\u015ftirin<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">2 \u00d7 2 fakt\u00f6riyel tasar\u0131m kulland\u0131\u011f\u0131m\u0131zda, ba\u011f\u0131ms\u0131z de\u011fi\u015fkenlerin ba\u011f\u0131ml\u0131 de\u011fi\u015fken \u00fczerindeki etkilerini daha iyi anlamak i\u00e7in genellikle ortalamalar\u0131n grafi\u011fini \u00e7izeriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, a\u015fa\u011f\u0131daki grafi\u011fi g\u00f6z \u00f6n\u00fcnde bulundurun:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-16993 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/2x2_4.png\" alt=\"\" width=\"426\" height=\"434\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Grafikteki de\u011ferlerin nas\u0131l yorumlanaca\u011f\u0131 a\u015fa\u011f\u0131da a\u00e7\u0131klanm\u0131\u015ft\u0131r:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Yo\u011fun g\u00fcne\u015f \u0131\u015f\u0131\u011f\u0131 alan ve g\u00fcnl\u00fck sulanan bitkilerin ortalama b\u00fcy\u00fcmesi yakla\u015f\u0131k <strong>8,2<\/strong> in\u00e7ti.<\/span><\/li>\n<li> <span style=\"color: #000000;\">Y\u00fcksek g\u00fcne\u015f \u0131\u015f\u0131\u011f\u0131 alan ve haftal\u0131k sulanan bitkilerin ortalama b\u00fcy\u00fcmesi yakla\u015f\u0131k <strong>9,6<\/strong> in\u00e7ti.<\/span><\/li>\n<li> <span style=\"color: #000000;\">Az g\u00fcne\u015f alan ve g\u00fcnl\u00fck sulanan bitkilerin ortalama b\u00fcy\u00fcmesi yakla\u015f\u0131k <strong>5,3<\/strong> in\u00e7ti.<\/span><\/li>\n<li> <span style=\"color: #000000;\">Az g\u00fcne\u015f alan ve haftal\u0131k sulanan bitkilerin ortalama b\u00fcy\u00fcmesi yakla\u015f\u0131k <strong>5,8<\/strong> in\u00e7ti.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u0130ki ba\u011f\u0131ms\u0131z de\u011fi\u015fken aras\u0131nda bir etkile\u015fim etkisi olup olmad\u0131\u011f\u0131n\u0131 belirlemek i\u00e7in \u00e7izgilerin paralel olup olmad\u0131\u011f\u0131n\u0131 kontrol etmeniz yeterlidir:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Grafi\u011fin iki \u00e7izgisi paralelse etkile\u015fim etkisi yoktur.<\/span><\/li>\n<li> <span style=\"color: #000000;\">Grafi\u011fin iki \u00e7izgisi paralel <em>de\u011filse<\/em> etkile\u015fim etkisi vard\u0131r.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u00d6nceki grafikte iki \u00e7izgi kabaca paraleldi, dolay\u0131s\u0131yla sulama s\u0131kl\u0131\u011f\u0131 ile g\u00fcne\u015fe maruz kalma aras\u0131nda muhtemelen bir etkile\u015fim etkisi yoktur.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ancak a\u015fa\u011f\u0131daki grafi\u011fi g\u00f6z \u00f6n\u00fcnde bulundurun:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-16994 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/2x2_5.png\" alt=\"\" width=\"406\" height=\"413\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">\u0130ki \u00e7izgi hi\u00e7 paralel de\u011fil (asl\u0131nda kesi\u015fiyorlar!), bu da muhtemelen aralar\u0131nda bir etkile\u015fim etkisi oldu\u011funu g\u00f6steriyor.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin bu, g\u00fcne\u015f \u0131\u015f\u0131\u011f\u0131n\u0131n bitki b\u00fcy\u00fcmesi \u00fczerindeki etkisinin sulama s\u0131kl\u0131\u011f\u0131na <em>ba\u011fl\u0131 oldu\u011fu<\/em> anlam\u0131na gelir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ba\u015fka bir deyi\u015fle g\u00fcne\u015f \u0131\u015f\u0131\u011f\u0131 ve sulama s\u0131kl\u0131\u011f\u0131 bitki b\u00fcy\u00fcmesini ba\u011f\u0131ms\u0131z olarak etkilemez. Aksine, iki ba\u011f\u0131ms\u0131z de\u011fi\u015fken aras\u0131nda bir <em>etkile\u015fim etkisi<\/em> vard\u0131r.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>2&#215;2 fakt\u00f6riyel tasar\u0131m nas\u0131l analiz edilir<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Ortalamalar\u0131 \u00e7izmek, ba\u011f\u0131ms\u0131z de\u011fi\u015fkenlerin ba\u011f\u0131ml\u0131 de\u011fi\u015fken \u00fczerindeki etkilerini incelemenin g\u00f6rsel bir yoludur.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ancak 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> da 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\ndf &lt;- data. <span style=\"color: #3366ff;\">frame<\/span> (sunlight = rep(c(' <span style=\"color: #008000;\">Low<\/span> ', ' <span style=\"color: #008000;\">High<\/span> '), each = <span style=\"color: #3366ff;\">30<\/span> ),\n                 water = rep(c(' <span style=\"color: #008000;\">Daily<\/span> ', ' <span style=\"color: #008000;\">Weekly<\/span> '), each = <span style=\"color: #3366ff;\">15<\/span> , times = <span style=\"color: #3366ff;\">2<\/span> ),\n                 growth = c(rnorm(15, 6, 2), rnorm(15, 7, 3), rnorm(15, 7, 2),\n                                   rnorm(15, 10, 3)))\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 1 52.5 52.48 8.440 0.00525 **\nwater 1 31.6 31.59 5.081 0.02813 * \nsunlight:water 1 12.8 12.85 2.066 0.15620   \nResiduals 56 348.2 6.22                   \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<ul>\n<li> <span style=\"color: #000000;\">G\u00fcne\u015f \u0131\u015f\u0131\u011f\u0131yla ili\u015fkili p de\u011feri <strong>0,005&#8217;tir<\/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><\/li>\n<li> <span style=\"color: #000000;\">Suyla ilgili p de\u011feri <strong>0,028&#8217;dir<\/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><\/li>\n<li> <span style=\"color: #000000;\">G\u00fcne\u015f \u0131\u015f\u0131\u011f\u0131 ile su aras\u0131ndaki etkile\u015fimin p de\u011feri <strong>0,156&#8217;d\u0131r<\/strong> . Bu rakam\u0131n 0,05&#8217;ten az olmamas\u0131 g\u00fcne\u015f \u0131\u015f\u0131\u011f\u0131 ile su aras\u0131nda herhangi bir etkile\u015fim etkisinin olmad\u0131\u011f\u0131 anlam\u0131na gelmektedir.<\/span><\/li>\n<\/ul>\n<h3> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h3>\n<p> <a href=\"https:\/\/statorials.org\/tr\/2x3-faktoriyel-tasarim\/\">Eksiksiz bir k\u0131lavuz: 2 \u00d7 3 fakt\u00f6riyel tasar\u0131m<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/bagimsiz-degisken-seviyeleri\/\" target=\"_blank\" rel=\"noopener\">Ba\u011f\u0131ms\u0131z bir de\u011fi\u015fkenin seviyeleri nelerdir?<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/bagimsiz-degiskenler-ve-bagimli-degiskenler\/\" target=\"_blank\" rel=\"noopener\">Ba\u011f\u0131ms\u0131z veya ba\u011f\u0131ml\u0131 de\u011fi\u015fkenler<\/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 \u00d7 2 fakt\u00f6riyel tasar\u0131m, ara\u015ft\u0131rmac\u0131lar\u0131n iki ba\u011f\u0131ms\u0131z de\u011fi\u015fkenin (her biri iki d\u00fczeyde ) tek bir ba\u011f\u0131ml\u0131 de\u011fi\u015fken \u00fczerindeki etkilerini anlamalar\u0131na olanak tan\u0131yan bir deneysel tasar\u0131m t\u00fcr\u00fcd\u00fcr. \u00d6rne\u011fin, bir botanik\u00e7inin g\u00fcne\u015f \u0131\u015f\u0131\u011f\u0131n\u0131n (d\u00fc\u015f\u00fck 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. Bu 2&#215;2 fakt\u00f6riyel tasar\u0131m\u0131n [&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-1729","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: 2x2 fakt\u00f6riyel tasar\u0131m - Statoryaller<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde, ad\u0131m ad\u0131m tan\u0131m ve \u00f6rnek de dahil olmak \u00fczere 2x2 fakt\u00f6riyel tasar\u0131m i\u00e7in eksiksiz bir k\u0131lavuz 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\/2x2-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: 2x2 fakt\u00f6riyel tasar\u0131m - Statoryaller\" \/>\n<meta property=\"og:description\" content=\"Bu e\u011fitimde, ad\u0131m ad\u0131m tan\u0131m ve \u00f6rnek de dahil olmak \u00fczere 2x2 fakt\u00f6riyel tasar\u0131m i\u00e7in eksiksiz bir k\u0131lavuz sa\u011flanmaktad\u0131r.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/tr\/2x2-faktoriyel-tasarim\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-25T05:32:56+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/2x2_1.png\" \/>\n<meta name=\"author\" content=\"Dr.benjamin anderson\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Yazan:\" \/>\n\t<meta name=\"twitter:data1\" content=\"Dr.benjamin anderson\" \/>\n\t<meta name=\"twitter:label2\" content=\"Tahmini okuma s\u00fcresi\" \/>\n\t<meta name=\"twitter:data2\" content=\"5 dakika\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/tr\/2x2-faktoriyel-tasarim\/\",\"url\":\"https:\/\/statorials.org\/tr\/2x2-faktoriyel-tasarim\/\",\"name\":\"Eksiksiz bir k\u0131lavuz: 2x2 fakt\u00f6riyel tasar\u0131m - Statoryaller\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/tr\/#website\"},\"datePublished\":\"2023-07-25T05:32:56+00:00\",\"dateModified\":\"2023-07-25T05:32:56+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\"},\"description\":\"Bu e\u011fitimde, ad\u0131m ad\u0131m tan\u0131m ve \u00f6rnek de dahil olmak \u00fczere 2x2 fakt\u00f6riyel tasar\u0131m i\u00e7in eksiksiz bir k\u0131lavuz sa\u011flanmaktad\u0131r.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/tr\/2x2-faktoriyel-tasarim\/#breadcrumb\"},\"inLanguage\":\"tr\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/tr\/2x2-faktoriyel-tasarim\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/tr\/2x2-faktoriyel-tasarim\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Ev\",\"item\":\"https:\/\/statorials.org\/tr\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Eksiksiz bir k\u0131lavuz: 2\u00d72 fakt\u00f6riyel tasar\u0131m\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/statorials.org\/tr\/#website\",\"url\":\"https:\/\/statorials.org\/tr\/\",\"name\":\"Statorials\",\"description\":\"\u0130statistik okuryazarl\u0131\u011f\u0131 rehberiniz!\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/statorials.org\/tr\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"tr\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\",\"name\":\"Dr.benjamin anderson\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"tr\",\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/statorials.org\/tr\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"contentUrl\":\"https:\/\/statorials.org\/tr\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"caption\":\"Dr.benjamin anderson\"},\"description\":\"Merhaba, ben Benjamin, emekli bir istatistik profes\u00f6r\u00fc ve Statorials \u00f6\u011fretmenine d\u00f6n\u00fc\u015ft\u00fcm. \u0130statistik alan\u0131ndaki kapsaml\u0131 deneyimim ve uzmanl\u0131\u011f\u0131mla, \u00f6\u011frencilerimi Statorials arac\u0131l\u0131\u011f\u0131yla g\u00fc\u00e7lendirmek i\u00e7in bilgilerimi payla\u015fmaya can at\u0131yorum. Daha fazlas\u0131n\u0131 bil\",\"sameAs\":[\"https:\/\/statorials.org\/tr\"]}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Eksiksiz bir k\u0131lavuz: 2x2 fakt\u00f6riyel tasar\u0131m - Statoryaller","description":"Bu e\u011fitimde, ad\u0131m ad\u0131m tan\u0131m ve \u00f6rnek de dahil olmak \u00fczere 2x2 fakt\u00f6riyel tasar\u0131m i\u00e7in eksiksiz bir k\u0131lavuz sa\u011flanmaktad\u0131r.","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/statorials.org\/tr\/2x2-faktoriyel-tasarim\/","og_locale":"tr_TR","og_type":"article","og_title":"Eksiksiz bir k\u0131lavuz: 2x2 fakt\u00f6riyel tasar\u0131m - Statoryaller","og_description":"Bu e\u011fitimde, ad\u0131m ad\u0131m tan\u0131m ve \u00f6rnek de dahil olmak \u00fczere 2x2 fakt\u00f6riyel tasar\u0131m i\u00e7in eksiksiz bir k\u0131lavuz sa\u011flanmaktad\u0131r.","og_url":"https:\/\/statorials.org\/tr\/2x2-faktoriyel-tasarim\/","og_site_name":"Statorials","article_published_time":"2023-07-25T05:32:56+00:00","og_image":[{"url":"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/2x2_1.png"}],"author":"Dr.benjamin anderson","twitter_card":"summary_large_image","twitter_misc":{"Yazan:":"Dr.benjamin anderson","Tahmini okuma s\u00fcresi":"5 dakika"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/statorials.org\/tr\/2x2-faktoriyel-tasarim\/","url":"https:\/\/statorials.org\/tr\/2x2-faktoriyel-tasarim\/","name":"Eksiksiz bir k\u0131lavuz: 2x2 fakt\u00f6riyel tasar\u0131m - Statoryaller","isPartOf":{"@id":"https:\/\/statorials.org\/tr\/#website"},"datePublished":"2023-07-25T05:32:56+00:00","dateModified":"2023-07-25T05:32:56+00:00","author":{"@id":"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48"},"description":"Bu e\u011fitimde, ad\u0131m ad\u0131m tan\u0131m ve \u00f6rnek de dahil olmak \u00fczere 2x2 fakt\u00f6riyel tasar\u0131m i\u00e7in eksiksiz bir k\u0131lavuz sa\u011flanmaktad\u0131r.","breadcrumb":{"@id":"https:\/\/statorials.org\/tr\/2x2-faktoriyel-tasarim\/#breadcrumb"},"inLanguage":"tr","potentialAction":[{"@type":"ReadAction","target":["https:\/\/statorials.org\/tr\/2x2-faktoriyel-tasarim\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/statorials.org\/tr\/2x2-faktoriyel-tasarim\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Ev","item":"https:\/\/statorials.org\/tr\/"},{"@type":"ListItem","position":2,"name":"Eksiksiz bir k\u0131lavuz: 2\u00d72 fakt\u00f6riyel tasar\u0131m"}]},{"@type":"WebSite","@id":"https:\/\/statorials.org\/tr\/#website","url":"https:\/\/statorials.org\/tr\/","name":"Statorials","description":"\u0130statistik okuryazarl\u0131\u011f\u0131 rehberiniz!","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/statorials.org\/tr\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"tr"},{"@type":"Person","@id":"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48","name":"Dr.benjamin anderson","image":{"@type":"ImageObject","inLanguage":"tr","@id":"https:\/\/statorials.org\/tr\/#\/schema\/person\/image\/","url":"https:\/\/statorials.org\/tr\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg","contentUrl":"https:\/\/statorials.org\/tr\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg","caption":"Dr.benjamin anderson"},"description":"Merhaba, ben Benjamin, emekli bir istatistik profes\u00f6r\u00fc ve Statorials \u00f6\u011fretmenine d\u00f6n\u00fc\u015ft\u00fcm. \u0130statistik alan\u0131ndaki kapsaml\u0131 deneyimim ve uzmanl\u0131\u011f\u0131mla, \u00f6\u011frencilerimi Statorials arac\u0131l\u0131\u011f\u0131yla g\u00fc\u00e7lendirmek i\u00e7in bilgilerimi payla\u015fmaya can at\u0131yorum. Daha fazlas\u0131n\u0131 bil","sameAs":["https:\/\/statorials.org\/tr"]}]}},"yoast_meta":{"yoast_wpseo_title":"","yoast_wpseo_metadesc":"","yoast_wpseo_canonical":""},"_links":{"self":[{"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/posts\/1729","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/comments?post=1729"}],"version-history":[{"count":0,"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/posts\/1729\/revisions"}],"wp:attachment":[{"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/media?parent=1729"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/categories?post=1729"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/tags?post=1729"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}