{"id":1309,"date":"2023-07-26T22:27:51","date_gmt":"2023-07-26T22:27:51","guid":{"rendered":"https:\/\/statorials.org\/tr\/excel-normallestirilmis-artiklar\/"},"modified":"2023-07-26T22:27:51","modified_gmt":"2023-07-26T22:27:51","slug":"excel-normallestirilmis-artiklar","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/excel-normallestirilmis-artiklar\/","title":{"rendered":"Excel&#39;de standartla\u015ft\u0131r\u0131lm\u0131\u015f art\u0131klar nas\u0131l hesaplan\u0131r"},"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 e\u011fitimde, Excel&#8217;de standartla\u015ft\u0131r\u0131lm\u0131\u015f art\u0131klar\u0131n nas\u0131l hesaplanaca\u011f\u0131na ili\u015fkin ad\u0131m ad\u0131m bir \u00f6rnek sunulmaktad\u0131r.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>1. Ad\u0131m: Verileri girin<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u00d6ncelikle k\u00fc\u00e7\u00fck bir veri k\u00fcmesindeki de\u011ferleri Excel&#8217;e girece\u011fiz:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-12803 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/sred1.png\" alt=\"\" width=\"407\" height=\"387\" srcset=\"\" sizes=\"auto, \"><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ad\u0131m 2: Art\u0131klar\u0131 hesaplay\u0131n<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Daha sonra, \u00fcst \u015feritteki <strong>Veri<\/strong> sekmesine gidece\u011fiz ve <strong>Analiz<\/strong> grubunda <strong>Veri Analizi&#8217;ne<\/strong> t\u0131klayaca\u011f\u0131z:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-5292 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/deuxsampexcel3.png\" alt=\"\" width=\"486\" height=\"185\" srcset=\"\" sizes=\"auto, \"><\/span><\/p>\n<p> <em><span style=\"color: #000000;\">Bu eklentiyi hen\u00fcz y\u00fcklemediyseniz nas\u0131l yap\u0131laca\u011f\u0131n\u0131 \u00f6\u011frenmek i\u00e7in <a href=\"https:\/\/statorials.org\/tr\/analiz-arac-paketini-excele-nasil-yukleyebilirim\/\" target=\"_blank\" rel=\"noopener\">bu e\u011fitime<\/a> g\u00f6z at\u0131n. Kurulumu kolayd\u0131r ve tamamen \u00fccretsizdir.<\/span><\/em><\/p>\n<p> <span style=\"color: #000000;\">Veri Analizi&#8217;ne t\u0131klad\u0131ktan sonra <strong>Regresyon<\/strong> yazan se\u00e7ene\u011fe t\u0131klay\u0131n ve ard\u0131ndan <strong>Tamam&#8217;a<\/strong> t\u0131klay\u0131n. A\u00e7\u0131lan yeni pencerede a\u015fa\u011f\u0131daki bilgileri doldurun ve <strong>Tamam&#8217;a<\/strong> t\u0131klay\u0131n:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-12804 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/sred2-2.png\" alt=\"\" width=\"525\" height=\"436\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Her g\u00f6zlemin kal\u0131nt\u0131s\u0131 sonu\u00e7ta g\u00f6r\u00fcnecektir:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-12806 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/sred3.png\" alt=\"Excel'de art\u0131klar\" width=\"397\" height=\"410\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Bu art\u0131klar\u0131 kopyalay\u0131p orijinal verilerin yan\u0131ndaki yeni bir s\u00fctuna yap\u0131\u015ft\u0131r\u0131n:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-12807 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/sred4.png\" alt=\"\" width=\"406\" height=\"374\" srcset=\"\" sizes=\"auto, \"><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ad\u0131m 3: Kald\u0131rac\u0131 Hesaplay\u0131n<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Daha sonra, her g\u00f6zlemin kald\u0131rac\u0131n\u0131 hesaplamam\u0131z gerekiyor.<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki resimde bunun nas\u0131l yap\u0131laca\u011f\u0131 g\u00f6sterilmektedir:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-12808 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/sred5.png\" alt=\"\u0130statistik i\u00e7in Excel'de Hesaplamadan Yararlanma\" width=\"443\" height=\"374\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Farkl\u0131 h\u00fccrelerde kullan\u0131lan form\u00fcller \u015funlard\u0131r:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>B14:<\/strong> =SAYIM(B2:B13)<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>B15:<\/strong> = ORTALAMA (B2: B13)<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>B16:<\/strong> =DEVSQ(B2:B13)<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>E2:<\/strong> =1\/$B$14+(B2-$B$15)^2\/$B$16<\/span><\/li>\n<\/ul>\n<h3> <span style=\"color: #000000;\"><strong>Ad\u0131m 4: Standartla\u015ft\u0131r\u0131lm\u0131\u015f art\u0131klar\u0131 hesaplay\u0131n<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Son olarak standartla\u015ft\u0131r\u0131lm\u0131\u015f art\u0131klar\u0131 a\u015fa\u011f\u0131daki form\u00fcl\u00fc kullanarak hesaplayabiliriz:<\/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;\">Modelin <strong>KSS&#8217;si<\/strong> \u00f6nceki modelin sonu\u00e7lar\u0131nda bulunabilir. <strong>4.44<\/strong> oldu\u011fu ortaya \u00e7\u0131kt\u0131:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-12809 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/sred6.png\" alt=\"\" width=\"440\" height=\"436\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">B\u00f6ylece, 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><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-12810 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/sred7.png\" alt=\"Excel'de standartla\u015ft\u0131r\u0131lm\u0131\u015f art\u0131klar\" width=\"522\" height=\"367\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Sonu\u00e7lardan, 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 g\u00f6r\u00fcnm\u00fcyor.<\/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;\">\u00dczerinde \u00e7al\u0131\u015ft\u0131\u011f\u0131n\u0131z spesifik soruna ba\u011fl\u0131 olarak, ayk\u0131r\u0131 de\u011ferler i\u00e7in e\u015fik olarak 2 veya 3 mutlak de\u011ferini kullanmak size kalm\u0131\u015ft\u0131r.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h3>\n<p> <a href=\"https:\/\/statorials.org\/tr\/kalinti\/\" target=\"_blank\" rel=\"noopener\">Kal\u0131nt\u0131lar nelerdir?<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/standartlastirilmis-kalintilar\/\">Standartla\u015ft\u0131r\u0131lm\u0131\u015f art\u0131klar nelerdir?<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/coklu-dogrusal-regresyon\/\" target=\"_blank\" rel=\"noopener\">\u00c7oklu Do\u011frusal Regresyona Giri\u015f<\/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-1309","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>Excel&#039;de standartla\u015ft\u0131r\u0131lm\u0131\u015f art\u0131klar nas\u0131l hesaplan\u0131r - 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