{"id":1308,"date":"2023-07-26T22:37:32","date_gmt":"2023-07-26T22:37:32","guid":{"rendered":"https:\/\/statorials.org\/tr\/standartlastirilmis-kalintilar\/"},"modified":"2023-07-26T22:37:32","modified_gmt":"2023-07-26T22:37:32","slug":"standartlastirilmis-kalintilar","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/standartlastirilmis-kalintilar\/","title":{"rendered":"Standartla\u015ft\u0131r\u0131lm\u0131\u015f art\u0131klar nelerdir?"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>Art\u0131k,<\/strong> bir<a href=\"https:\/\/statorials.org\/tr\/dogrusal-regresyon-1\/\" target=\"_blank\" rel=\"noopener noreferrer\">regresyon modelinde<\/a> g\u00f6zlemlenen bir de\u011fer ile tahmin edilen bir de\u011fer aras\u0131ndaki farkt\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki \u015fekilde hesaplan\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Art\u0131k = G\u00f6zlemlenen de\u011fer \u2013 Tahmin edilen de\u011fer<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">G\u00f6zlemlenen de\u011ferleri \u00e7izer ve uygun regresyon \u00e7izgisini \u00fcst \u00fcste koyarsak, her <a href=\"https:\/\/statorials.org\/tr\/istatistikte-gozlem\/\" target=\"_blank\" rel=\"noopener\">g\u00f6zlem<\/a> i\u00e7in art\u0131klar, g\u00f6zlem ile regresyon \u00e7izgisi aras\u0131ndaki dikey mesafe olacakt\u0131r:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-12422 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/residus1-1.png\" alt=\"\u0130statistiklerde art\u0131k \u00f6rne\u011fi\" width=\"487\" height=\"382\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Bir regresyon modelinde ayk\u0131r\u0131 de\u011ferleri tan\u0131mlamak i\u00e7in s\u0131kl\u0131kla kulland\u0131\u011f\u0131m\u0131z bir t\u00fcr art\u0131k <strong>, standartla\u015ft\u0131r\u0131lm\u0131\u015f art\u0131k<\/strong> olarak adland\u0131r\u0131l\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki \u015fekilde hesaplan\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>r <sub>ben<\/sub> = e <sub>ben<\/sub> \/ s(e <sub>ben<\/sub> )<\/strong> = <strong>e <sub>ben<\/sub> \/ RSE\u221a <span style=\"border-top: 1px solid black;\">1-h <sub>ii<\/sub><\/span><\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>e <sub>i<\/sub> :<\/strong> i&#8217;inci <sup>kal\u0131nt\u0131<\/sup><\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>RSE:<\/strong> modelin art\u0131k standart hatas\u0131<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>h <sub>ii<\/sub><\/strong> : <sup>i&#8217;inci<\/sup> g\u00f6zlemin y\u00fckseli\u015fi<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Pratikte, mutlak de\u011feri 3&#8217;ten b\u00fcy\u00fck olan herhangi bir standartla\u015ft\u0131r\u0131lm\u0131\u015f art\u0131k de\u011feri genellikle ayk\u0131r\u0131 de\u011fer olarak kabul ederiz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu, mutlaka bu g\u00f6zlemleri modelden \u00e7\u0131karaca\u011f\u0131m\u0131z anlam\u0131na gelmez, ancak en az\u0131ndan bunlar\u0131n bir veri giri\u015f hatas\u0131n\u0131n veya ba\u015fka bir garip olay\u0131n sonucu olmad\u0131\u011f\u0131n\u0131 do\u011frulamak i\u00e7in bunlar\u0131 daha ayr\u0131nt\u0131l\u0131 olarak incelememiz gerekir.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><em><strong>Not:<\/strong> Bazen standartla\u015ft\u0131r\u0131lm\u0131\u015f kal\u0131nt\u0131lara &#8220;kurum i\u00e7i incelenen kal\u0131nt\u0131lar&#8221; da denir.<\/em><\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek: Standartla\u015ft\u0131r\u0131lm\u0131\u015f art\u0131klar nas\u0131l hesaplan\u0131r?<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Toplamda 12 g\u00f6zlem i\u00e7eren a\u015fa\u011f\u0131daki veri setine sahip oldu\u011fumuzu varsayal\u0131m:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-12424 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/residus3.png\" alt=\"\" width=\"153\" height=\"269\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Bu veri setine do\u011frusal bir regresyon \u00e7izgisi s\u0131\u011fd\u0131rmak i\u00e7in istatistiksel yaz\u0131l\u0131m ( R , Excel , Python , Stata vb. gibi) kullan\u0131rsak, en iyi uyum \u00e7izgisinin \u015fu \u015fekilde ortaya \u00e7\u0131kt\u0131\u011f\u0131n\u0131 g\u00f6rece\u011fiz:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>y = 29,63 + 0,7553x<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu sat\u0131r\u0131 kullanarak X de\u011ferine g\u00f6re her Y de\u011feri i\u00e7in tahmin edilen de\u011feri hesaplayabiliriz. \u00d6rne\u011fin ilk g\u00f6zlemin tahmin edilen de\u011feri \u015f\u00f6yle olacakt\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\">y = 29,63 + 0,7553*(8) = <strong>35,67<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Daha sonra bu g\u00f6zlemin art\u0131\u011f\u0131 \u015fu \u015fekilde hesaplayabiliriz:<\/span><\/p>\n<p> <span style=\"color: #000000;\">Art\u0131k = G\u00f6zlemlenen de\u011fer \u2013 Tahmin edilen de\u011fer = 41 \u2013 35,67 = <strong>5,33<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Her g\u00f6zlem i\u00e7in art\u0131k de\u011feri bulmak amac\u0131yla bu i\u015flemi tekrarlayabiliriz:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-12425 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/residus4.png\" alt=\"Art\u0131klar nas\u0131l hesaplan\u0131r\" width=\"334\" height=\"267\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Modelin art\u0131k standart hatas\u0131n\u0131n <strong>4,44<\/strong> oldu\u011funu bulmak i\u00e7in istatistiksel yaz\u0131l\u0131m\u0131 da kullanabiliriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ve, bu dersin kapsam\u0131 d\u0131\u015f\u0131nda olmas\u0131na ra\u011fmen, her g\u00f6zlem i\u00e7in kald\u0131ra\u00e7 istatisti\u011fini (h <sub>ii<\/sub> ) bulmak i\u00e7in yaz\u0131l\u0131m\u0131 kullanabiliriz:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-12795 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/standres1.png\" alt=\"\" width=\"395\" height=\"266\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Daha sonra her g\u00f6zlem i\u00e7in standartla\u015ft\u0131r\u0131lm\u0131\u015f art\u0131k de\u011feri hesaplamak amac\u0131yla a\u015fa\u011f\u0131daki form\u00fcl\u00fc kullanabiliriz:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>r <sub>ben<\/sub><\/strong> = <strong>e <sub>ben<\/sub> \/ RSE\u221a <span style=\"border-top: 1px solid black;\">1-h <sub>ii<\/sub><\/span><\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, ilk g\u00f6zlem i\u00e7in standartla\u015ft\u0131r\u0131lm\u0131\u015f art\u0131k \u015fu \u015fekilde hesaplan\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>r <sub>ben<\/sub> = 5,33 \/ 4,44\u221a <span style=\"border-top: 1px solid black;\">1-0,27<\/span> = 1,404<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Her g\u00f6zlem i\u00e7in standartla\u015ft\u0131r\u0131lm\u0131\u015f art\u0131k de\u011feri bulmak amac\u0131yla bu i\u015flemi tekrarlayabiliriz:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-12796\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/standres2.png\" alt=\"Standartla\u015ft\u0131r\u0131lm\u0131\u015f art\u0131klar\u0131n hesaplanmas\u0131na \u00f6rnek\" width=\"527\" height=\"262\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Daha sonra, standartla\u015ft\u0131r\u0131lm\u0131\u015f art\u0131klardan herhangi birinin 3&#8217;l\u00fck mutlak de\u011fer e\u015fi\u011fini a\u015f\u0131p a\u015fmad\u0131\u011f\u0131n\u0131 g\u00f6rsel olarak g\u00f6rmek i\u00e7in standartla\u015ft\u0131r\u0131lm\u0131\u015f art\u0131klara kar\u015f\u0131 tahmin de\u011ferlerinin h\u0131zl\u0131 bir da\u011f\u0131l\u0131m grafi\u011fini olu\u015fturabiliriz:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-12797 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/standres3.png\" alt=\"Tahmini de\u011ferlerin standartla\u015ft\u0131r\u0131lm\u0131\u015f art\u0131klara kar\u015f\u0131 grafi\u011fi\" width=\"482\" height=\"355\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Grafikten, standartla\u015ft\u0131r\u0131lm\u0131\u015f art\u0131klar\u0131n hi\u00e7birinin mutlak 3 de\u011ferini a\u015fmad\u0131\u011f\u0131n\u0131 g\u00f6rebiliriz. Dolay\u0131s\u0131yla g\u00f6zlemlerin hi\u00e7biri ayk\u0131r\u0131 de\u011fer olarak g\u00f6r\u00fcnmemektedir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Baz\u0131 durumlarda ara\u015ft\u0131rmac\u0131lar\u0131n, standartla\u015ft\u0131r\u0131lm\u0131\u015f art\u0131klar\u0131 mutlak 2 de\u011ferini a\u015fan g\u00f6zlemleri ayk\u0131r\u0131 de\u011fer olarak de\u011ferlendirdikleri belirtilmelidir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00c7al\u0131\u015ft\u0131\u011f\u0131n\u0131z alana ve \u00fczerinde \u00e7al\u0131\u015ft\u0131\u011f\u0131n\u0131z spesifik soruna ba\u011fl\u0131 olarak, ayk\u0131r\u0131 de\u011ferler i\u00e7in e\u015fi\u011finiz olarak 2 veya 3 gibi mutlak bir de\u011fer kullanmak isteyip istemedi\u011finiz size ba\u011fl\u0131d\u0131r.<\/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 standartla\u015ft\u0131r\u0131lm\u0131\u015f art\u0131klar hakk\u0131nda ek bilgi sa\u011flar:<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/tr\/kalinti\/\" target=\"_blank\" rel=\"noopener\">\u0130statistiklerde art\u0131klar nelerdir?<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/excel-normallestirilmis-artiklar\/\" target=\"_blank\" rel=\"noopener\">Excel&#8217;de standartla\u015ft\u0131r\u0131lm\u0131\u015f art\u0131klar nas\u0131l hesaplan\u0131r<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/rde-standardize-edilmis-kalintilar\/\" target=\"_blank\" rel=\"noopener\">R&#8217;de standartla\u015ft\u0131r\u0131lm\u0131\u015f art\u0131klar nas\u0131l hesaplan\u0131r<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/standartlastirilmis-python-kalintilari\/\" target=\"_blank\" rel=\"noopener\">Python&#8217;da Standartla\u015ft\u0131r\u0131lm\u0131\u015f Art\u0131klar Nas\u0131l Hesaplan\u0131r<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Art\u0131k, birregresyon modelinde g\u00f6zlemlenen bir de\u011fer ile tahmin edilen bir de\u011fer aras\u0131ndaki farkt\u0131r. A\u015fa\u011f\u0131daki \u015fekilde hesaplan\u0131r: Art\u0131k = G\u00f6zlemlenen de\u011fer \u2013 Tahmin edilen de\u011fer G\u00f6zlemlenen de\u011ferleri \u00e7izer ve uygun regresyon \u00e7izgisini \u00fcst \u00fcste koyarsak, her g\u00f6zlem i\u00e7in art\u0131klar, g\u00f6zlem ile regresyon \u00e7izgisi aras\u0131ndaki dikey mesafe olacakt\u0131r: Bir regresyon modelinde ayk\u0131r\u0131 de\u011ferleri tan\u0131mlamak i\u00e7in s\u0131kl\u0131kla kulland\u0131\u011f\u0131m\u0131z [&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-1308","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>Standartla\u015ft\u0131r\u0131lm\u0131\u015f art\u0131klar nelerdir? - Statoryaller<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitim, bir tan\u0131m ve \u00f6rnekler de dahil olmak \u00fczere standartla\u015ft\u0131r\u0131lm\u0131\u015f art\u0131klara h\u0131zl\u0131 bir giri\u015f sa\u011flar.\" \/>\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\/standartlastirilmis-kalintilar\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Standartla\u015ft\u0131r\u0131lm\u0131\u015f art\u0131klar nelerdir? - Statoryaller\" \/>\n<meta property=\"og:description\" content=\"Bu e\u011fitim, bir tan\u0131m ve \u00f6rnekler de dahil olmak \u00fczere standartla\u015ft\u0131r\u0131lm\u0131\u015f art\u0131klara h\u0131zl\u0131 bir giri\u015f sa\u011flar.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/tr\/standartlastirilmis-kalintilar\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-26T22:37:32+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/residus1-1.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=\"3 dakika\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/tr\/standartlastirilmis-kalintilar\/\",\"url\":\"https:\/\/statorials.org\/tr\/standartlastirilmis-kalintilar\/\",\"name\":\"Standartla\u015ft\u0131r\u0131lm\u0131\u015f art\u0131klar nelerdir? - Statoryaller\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/tr\/#website\"},\"datePublished\":\"2023-07-26T22:37:32+00:00\",\"dateModified\":\"2023-07-26T22:37:32+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\"},\"description\":\"Bu e\u011fitim, bir tan\u0131m ve \u00f6rnekler de dahil olmak \u00fczere standartla\u015ft\u0131r\u0131lm\u0131\u015f art\u0131klara h\u0131zl\u0131 bir giri\u015f sa\u011flar.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/tr\/standartlastirilmis-kalintilar\/#breadcrumb\"},\"inLanguage\":\"tr\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/tr\/standartlastirilmis-kalintilar\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/tr\/standartlastirilmis-kalintilar\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Ev\",\"item\":\"https:\/\/statorials.org\/tr\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Standartla\u015ft\u0131r\u0131lm\u0131\u015f art\u0131klar nelerdir?\"}]},{\"@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":"Standartla\u015ft\u0131r\u0131lm\u0131\u015f art\u0131klar nelerdir? - Statoryaller","description":"Bu e\u011fitim, bir tan\u0131m ve \u00f6rnekler de dahil olmak \u00fczere standartla\u015ft\u0131r\u0131lm\u0131\u015f art\u0131klara h\u0131zl\u0131 bir giri\u015f sa\u011flar.","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\/standartlastirilmis-kalintilar\/","og_locale":"tr_TR","og_type":"article","og_title":"Standartla\u015ft\u0131r\u0131lm\u0131\u015f art\u0131klar nelerdir? - Statoryaller","og_description":"Bu e\u011fitim, bir tan\u0131m ve \u00f6rnekler de dahil olmak \u00fczere standartla\u015ft\u0131r\u0131lm\u0131\u015f art\u0131klara h\u0131zl\u0131 bir giri\u015f sa\u011flar.","og_url":"https:\/\/statorials.org\/tr\/standartlastirilmis-kalintilar\/","og_site_name":"Statorials","article_published_time":"2023-07-26T22:37:32+00:00","og_image":[{"url":"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/residus1-1.png"}],"author":"Dr.benjamin anderson","twitter_card":"summary_large_image","twitter_misc":{"Yazan:":"Dr.benjamin anderson","Tahmini okuma s\u00fcresi":"3 dakika"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/statorials.org\/tr\/standartlastirilmis-kalintilar\/","url":"https:\/\/statorials.org\/tr\/standartlastirilmis-kalintilar\/","name":"Standartla\u015ft\u0131r\u0131lm\u0131\u015f art\u0131klar nelerdir? - Statoryaller","isPartOf":{"@id":"https:\/\/statorials.org\/tr\/#website"},"datePublished":"2023-07-26T22:37:32+00:00","dateModified":"2023-07-26T22:37:32+00:00","author":{"@id":"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48"},"description":"Bu e\u011fitim, bir tan\u0131m ve \u00f6rnekler de dahil olmak \u00fczere standartla\u015ft\u0131r\u0131lm\u0131\u015f art\u0131klara h\u0131zl\u0131 bir giri\u015f sa\u011flar.","breadcrumb":{"@id":"https:\/\/statorials.org\/tr\/standartlastirilmis-kalintilar\/#breadcrumb"},"inLanguage":"tr","potentialAction":[{"@type":"ReadAction","target":["https:\/\/statorials.org\/tr\/standartlastirilmis-kalintilar\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/statorials.org\/tr\/standartlastirilmis-kalintilar\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Ev","item":"https:\/\/statorials.org\/tr\/"},{"@type":"ListItem","position":2,"name":"Standartla\u015ft\u0131r\u0131lm\u0131\u015f art\u0131klar nelerdir?"}]},{"@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\/1308","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=1308"}],"version-history":[{"count":0,"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/posts\/1308\/revisions"}],"wp:attachment":[{"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/media?parent=1308"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/categories?post=1308"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/tags?post=1308"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}