{"id":3133,"date":"2023-07-19T01:29:22","date_gmt":"2023-07-19T01:29:22","guid":{"rendered":"https:\/\/statorials.org\/tr\/anova-kareler-toplami\/"},"modified":"2023-07-19T01:29:22","modified_gmt":"2023-07-19T01:29:22","slug":"anova-kareler-toplami","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/anova-kareler-toplami\/","title":{"rendered":"Anova&#39;da karelerin toplam\u0131 nas\u0131l hesaplan\u0131r (\u00f6rnekle)"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u0130statistiklerde, kar\u015f\u0131l\u0131k gelen pop\u00fclasyonun ortalamalar\u0131 aras\u0131nda istatistiksel olarak anlaml\u0131 bir fark olup olmad\u0131\u011f\u0131n\u0131 belirlemek amac\u0131yla \u00fc\u00e7 veya daha fazla ba\u011f\u0131ms\u0131z grubun ortalamalar\u0131n\u0131 kar\u015f\u0131la\u015ft\u0131rmak i\u00e7in <a href=\"https:\/\/statorials.org\/tr\/tek-yonlu-anova\/\" target=\"_blank\" rel=\"noopener\">tek y\u00f6nl\u00fc ANOVA<\/a> kullan\u0131l\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Tek y\u00f6nl\u00fc ANOVA yapt\u0131\u011f\u0131n\u0131zda, her zaman \u00fc\u00e7 kareler toplam\u0131 de\u011ferini hesaplayacaks\u0131n\u0131z:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>1. Kareler Toplam\u0131 Regresyon (SSR)<\/strong><\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Her grubun ortalamas\u0131 ile <a href=\"https:\/\/statorials.org\/tr\/buyuk-orta-anova\/\" target=\"_blank\" rel=\"noopener\">genel ortalama<\/a> aras\u0131ndaki farklar\u0131n karelerinin toplam\u0131d\u0131r.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>2. Kareler Toplam\u0131 Hatas\u0131 (SSE)<\/strong><\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Bu, her bir g\u00f6zlem ile o g\u00f6zlemin grup ortalamas\u0131 aras\u0131ndaki farklar\u0131n karelerinin toplam\u0131d\u0131r.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>3. Toplam Kareler Toplam\u0131 (SST)<\/strong><\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Bu, her bir g\u00f6zlem ile genel ortalama aras\u0131ndaki farklar\u0131n karelerinin toplam\u0131d\u0131r.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Bu \u00fc\u00e7 de\u011ferin her biri, grup ortalamalar\u0131 aras\u0131nda istatistiksel olarak anlaml\u0131 bir fark olup olmad\u0131\u011f\u0131n\u0131 belirlemek i\u00e7in kulland\u0131\u011f\u0131m\u0131z son ANOVA tablosuna yerle\u015ftirilir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki \u00f6rnekte, tek y\u00f6nl\u00fc bir ANOVA i\u00e7in bu kareler toplam\u0131 de\u011ferlerinin her birinin pratikte nas\u0131l hesaplanaca\u011f\u0131 g\u00f6sterilmektedir.<\/span><\/p>\n<h3> <strong><span style=\"color: #000000;\">\u00d6rnek: ANOVA&#8217;da karelerin toplam\u0131 nas\u0131l hesaplan\u0131r?<\/span><\/strong><\/h3>\n<p> <span style=\"color: #000000;\">\u00dc\u00e7 farkl\u0131 s\u0131nava haz\u0131rl\u0131k program\u0131n\u0131n belirli bir s\u0131navda farkl\u0131 ortalama puanlara yol a\u00e7\u0131p a\u00e7mad\u0131\u011f\u0131n\u0131 bilmek istedi\u011fimizi varsayal\u0131m. Bunu test etmek i\u00e7in 30 \u00f6\u011frenciyi bir \u00e7al\u0131\u015fmaya kat\u0131yoruz ve onlar\u0131 \u00fc\u00e7 gruba ay\u0131r\u0131yoruz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Her gruptaki \u00f6\u011frenciler, bir s\u0131nava haz\u0131rlanmak i\u00e7in sonraki \u00fc\u00e7 hafta boyunca \u00fc\u00e7 s\u0131nav haz\u0131rl\u0131k program\u0131ndan birini kullanmak \u00fczere rastgele atan\u0131r. \u00dc\u00e7 haftan\u0131n sonunda t\u00fcm \u00f6\u011frenciler ayn\u0131 s\u0131nava girerler.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Her gruba ait s\u0131nav sonu\u00e7lar\u0131 a\u015fa\u011f\u0131da g\u00f6sterilmektedir:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-8258 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/aller-simple2.png\" sizes=\"auto, \" srcset=\"\" alt=\"Tek y\u00f6nl\u00fc ANOVA verilerine \u00f6rnek\" width=\"237\" height=\"246\"><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki ad\u0131mlarda bu tek y\u00f6nl\u00fc ANOVA i\u00e7in kareler toplam\u0131 de\u011ferlerinin nas\u0131l hesaplanaca\u011f\u0131 g\u00f6sterilmektedir.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 1: Grup ortalamas\u0131n\u0131 ve genel ortalamay\u0131 hesaplay\u0131n.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0130lk olarak, genel (veya &#8220;genel&#8221;) ortalaman\u0131n yan\u0131 s\u0131ra \u00fc\u00e7 grubun ortalamas\u0131n\u0131 da hesaplayaca\u011f\u0131z:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-8434 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/anovamain1-1.png\" alt=\"\" width=\"300\" height=\"257\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 2: SSR&#8217;yi hesaplay\u0131n.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Daha sonra, a\u015fa\u011f\u0131daki form\u00fcl\u00fc kullanarak kareler toplam\u0131 regresyonunu (SSR) hesaplayaca\u011f\u0131z:<\/span><\/p>\n<p> <span style=\"color: #000000;\">n\u03a3(X <sub>j<\/sub> \u2013 <span style=\"text-decoration: overline;\">X<\/span> ..) <sup>2<\/sup><\/span><\/p>\n<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>n<\/strong> : j grubunun \u00f6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fc<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>\u03a3<\/strong> : \u201ctoplam\u201d anlam\u0131na gelen Yunanca bir sembol<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>X <sub>j<\/sub><\/strong> : j grubunun ortalamas\u0131<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong><span style=\"text-decoration: overline;\">X<\/span> ..<\/strong> : genel ortalama<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fimizde SSR = 10(83,4-85,8) <sup>2<\/sup> + 10(89,3-85,8) <sup>2<\/sup> + 10(84,7-85,8) <sup>2<\/sup> = <strong>192,2<\/strong> oldu\u011funu hesapl\u0131yoruz.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 3: SES&#8217;i hesaplay\u0131n.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Daha sonra, a\u015fa\u011f\u0131daki form\u00fcl\u00fc kullanarak hatan\u0131n karelerinin toplam\u0131n\u0131 (SSE) hesaplayaca\u011f\u0131z:<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u03a3(X <sub>ij<\/sub> \u2013 <span style=\"text-decoration: overline;\">X<\/span> <sub>j<\/sub> ) <sup>2<\/sup><\/span><\/p>\n<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>\u03a3<\/strong> : \u201ctoplam\u201d anlam\u0131na gelen Yunanca bir sembol<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>X <sub>ij<\/sub><\/strong> : j grubunun <sup>i&#8217;inci<\/sup> g\u00f6zlemi<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong><span style=\"text-decoration: overline;\">X<\/span> <sub>j<\/sub><\/strong> : j grubunun ortalamas\u0131<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fimizde SSE&#8217;yi \u015fu \u015fekilde hesapl\u0131yoruz:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Grup 1:<\/strong> (85-83,4) <sup>2<\/sup> + (86-83,4) <sup>2<\/sup> + <strong>&nbsp;<\/strong> (88-83,4) <sup>2<\/sup> + <strong>&nbsp;<\/strong> (75-83,4) <sup>2<\/sup> + <strong>&nbsp;<\/strong> (78-83,4) <sup>2<\/sup> + <strong>&nbsp;<\/strong> (94-83,4) <sup>2<\/sup> + <strong>&nbsp;<\/strong> (98-83,4) <sup>2<\/sup> + <strong>&nbsp;<\/strong> (79-83,4) <sup>2<\/sup> + <strong>&nbsp;<\/strong> (71-83,4) <sup>2<\/sup> + <strong>&nbsp;<\/strong> (80-83,4) <sup>2<\/sup> = <strong>640,4<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Grup 2:<\/strong> (91-89,3) <sup>2<\/sup> + (92-89,3) <sup>2<\/sup> + <strong>&nbsp;<\/strong> (93-89,3) <sup>2<\/sup> + <strong>&nbsp;<\/strong> (85-89,3) <sup>2<\/sup> + <strong>&nbsp;<\/strong> (87-89,3) <sup>2<\/sup> + <strong>&nbsp;<\/strong> (84-89,3) <sup>2<\/sup> + <strong>&nbsp;<\/strong> (82-89,3) <sup>2<\/sup> + <strong>&nbsp;<\/strong> (88-89,3) <sup>2<\/sup> + <strong>&nbsp;<\/strong> (95-89,3) <sup>2<\/sup> + <strong>&nbsp;<\/strong> (96-89,3) <sup>2<\/sup> = <strong>208,1<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Grup 3:<\/strong> (79-84,7) <sup>2<\/sup> + (78-84,7) <sup>2<\/sup> + <strong>&nbsp;<\/strong> (88-84,7) <sup>2<\/sup> + <strong>&nbsp;<\/strong> (94-84,7) <sup>2<\/sup> + <strong>&nbsp;<\/strong> (92-84,7) <sup>2<\/sup> + <strong>&nbsp;<\/strong> (85-84,7) <sup>2<\/sup> + <strong>&nbsp;<\/strong> (83-84,7) <sup>2<\/sup> + <strong>&nbsp;<\/strong> (85-84,7) <sup>2<\/sup> + <strong>&nbsp;<\/strong> (82-84,7) <sup>2<\/sup> + <strong>&nbsp;<\/strong> (81-84,7) <sup>2<\/sup> = <strong>252,1<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>ESS:<\/strong> 640,4 + 208,1 + 252,1 = <strong>1.100,6<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 4: SST&#8217;yi hesaplay\u0131n.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Daha sonra, a\u015fa\u011f\u0131daki form\u00fcl\u00fc kullanarak toplam kareler toplam\u0131n\u0131 (SST) hesaplayaca\u011f\u0131z:<\/span><\/p>\n<p> <span style=\"color: #000000;\">SST = SSR + SSE<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fimizde SST = 192,2 + 1100,6 = <strong>1292,8<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">SSR, SSE ve SST de\u011ferlerini hesaplad\u0131ktan sonra bu de\u011ferlerin her biri son olarak ANOVA tablosuna yerle\u015ftirilecektir:<\/span><\/p>\n<table>\n<tbody>\n<tr>\n<th style=\"text-align: center;\"> <span style=\"color: #000000;\"><strong>Kaynak<\/strong><\/span><\/th>\n<th style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">Kareler toplam\u0131 (SS)<\/span><\/strong><\/th>\n<th style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">df<\/span><\/strong><\/th>\n<th style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">Ortalama kareler (MS)<\/span><\/strong><\/th>\n<th style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">F de\u011feri<\/span><\/strong><\/th>\n<th style=\"text-align: center;\"> <strong><span style=\"color: #000000;\">p de\u011feri<\/span><\/strong><\/th>\n<\/tr>\n<tr>\n<td> <span style=\"color: #000000;\"><strong>Regresyon<\/strong><\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">192.2<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">2<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">96.1<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">2.358<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">0,1138<\/span><\/td>\n<\/tr>\n<tr>\n<td> <span style=\"color: #000000;\"><strong>Hata<\/strong><\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">1100.6<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">27<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">40.8<\/span><\/td>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<tr>\n<td> <span style=\"color: #000000;\"><strong>Toplam<\/strong><\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">1292.8<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">29<\/span><\/td>\n<td><\/td>\n<td><\/td>\n<td><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p> <span style=\"color: #000000;\">Tablodaki farkl\u0131 say\u0131lar\u0131 \u015fu \u015fekilde hesaplad\u0131k:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>regresyon sd:<\/strong> k-1 = 3-1 = 2<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>hata df:<\/strong> nk = 30-3 = 27<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>toplam sd:<\/strong> n-1 = 30-1 = 29<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>SEP tedavisi:<\/strong> SST tedavisi\/df = 192,2 \/ 2 = 96,1<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>MS hatas\u0131:<\/strong> SSE hatas\u0131 \/ df = 1100,6 \/ 27 = 40,8<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>F de\u011feri:<\/strong> MS i\u015fleme \/ MS hatas\u0131 = 96,1 \/ 40,8 = 2,358<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>p-de\u011feri<\/strong> : F de\u011ferine kar\u015f\u0131l\u0131k gelen p-de\u011feri.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><em><strong>Not:<\/strong> n = toplam g\u00f6zlem say\u0131s\u0131, k = grup say\u0131s\u0131<\/em><\/span><\/p>\n<p> <span style=\"color: #000000;\">ANOVA tablosundaki F de\u011feri ve p de\u011ferinin nas\u0131l yorumlanaca\u011f\u0131n\u0131 \u00f6\u011frenmek i\u00e7in <a href=\"https:\/\/statorials.org\/tr\/anova-f-degeri-p-degeri\/\" target=\"_blank\" rel=\"noopener\">bu e\u011fitime<\/a> g\u00f6z at\u0131n.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0130statistiklerde, kar\u015f\u0131l\u0131k gelen pop\u00fclasyonun ortalamalar\u0131 aras\u0131nda istatistiksel olarak anlaml\u0131 bir fark olup olmad\u0131\u011f\u0131n\u0131 belirlemek amac\u0131yla \u00fc\u00e7 veya daha fazla ba\u011f\u0131ms\u0131z grubun ortalamalar\u0131n\u0131 kar\u015f\u0131la\u015ft\u0131rmak i\u00e7in tek y\u00f6nl\u00fc ANOVA kullan\u0131l\u0131r. Tek y\u00f6nl\u00fc ANOVA yapt\u0131\u011f\u0131n\u0131zda, her zaman \u00fc\u00e7 kareler toplam\u0131 de\u011ferini hesaplayacaks\u0131n\u0131z: 1. Kareler Toplam\u0131 Regresyon (SSR) Her grubun ortalamas\u0131 ile genel ortalama aras\u0131ndaki farklar\u0131n karelerinin toplam\u0131d\u0131r. 2. [&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-3133","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>ANOVA&#039;da karelerin toplam\u0131 nas\u0131l hesaplan\u0131r (\u00f6rnekle) - Statorials<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde ANOVA&#039;da kareler toplam\u0131n\u0131n nas\u0131l hesaplanaca\u011f\u0131 eksiksiz bir \u00f6rnekle a\u00e7\u0131klanmaktad\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\/anova-kareler-toplami\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"ANOVA&#039;da karelerin toplam\u0131 nas\u0131l hesaplan\u0131r (\u00f6rnekle) - Statorials\" \/>\n<meta property=\"og:description\" content=\"Bu e\u011fitimde ANOVA&#039;da kareler toplam\u0131n\u0131n nas\u0131l hesaplanaca\u011f\u0131 eksiksiz bir \u00f6rnekle a\u00e7\u0131klanmaktad\u0131r.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/tr\/anova-kareler-toplami\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-19T01:29:22+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/aller-simple2.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=\"3 dakika\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/tr\/anova-kareler-toplami\/\",\"url\":\"https:\/\/statorials.org\/tr\/anova-kareler-toplami\/\",\"name\":\"ANOVA&#39;da karelerin toplam\u0131 nas\u0131l hesaplan\u0131r (\u00f6rnekle) - Statorials\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/tr\/#website\"},\"datePublished\":\"2023-07-19T01:29:22+00:00\",\"dateModified\":\"2023-07-19T01:29:22+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\"},\"description\":\"Bu e\u011fitimde ANOVA&#39;da kareler toplam\u0131n\u0131n nas\u0131l hesaplanaca\u011f\u0131 eksiksiz bir \u00f6rnekle a\u00e7\u0131klanmaktad\u0131r.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/tr\/anova-kareler-toplami\/#breadcrumb\"},\"inLanguage\":\"tr\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/tr\/anova-kareler-toplami\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/tr\/anova-kareler-toplami\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Ev\",\"item\":\"https:\/\/statorials.org\/tr\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Anova&#39;da karelerin toplam\u0131 nas\u0131l hesaplan\u0131r (\u00f6rnekle)\"}]},{\"@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. 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