{"id":1823,"date":"2023-07-24T20:37:49","date_gmt":"2023-07-24T20:37:49","guid":{"rendered":"https:\/\/statorials.org\/tr\/standardizasyon-vs-normalizasyon\/"},"modified":"2023-07-24T20:37:49","modified_gmt":"2023-07-24T20:37:49","slug":"standardizasyon-vs-normalizasyon","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/standardizasyon-vs-normalizasyon\/","title":{"rendered":"Standardizasyon veya normalizasyon: fark nedir?"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>Standardizasyon<\/strong> ve <strong>normalle\u015ftirme,<\/strong> verileri yeniden boyutland\u0131rman\u0131n iki yoludur.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Normalle\u015ftirme,<\/strong> bir veri k\u00fcmesini ortalama 0 ve standart sapma 1 olacak \u015fekilde \u00f6l\u00e7eklendirir. Bunu yapmak i\u00e7in a\u015fa\u011f\u0131daki form\u00fcl\u00fc kullan\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>x <sub>yeni<\/sub> = (x <sub>ben<\/sub> \u2013 <span style=\"text-decoration: overline;\">x<\/span> ) \/ s<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>x <sub>i<\/sub><\/strong> : veri k\u00fcmesinin <sup>i&#8217;inci<\/sup> de\u011feri<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong><span style=\"text-decoration: overline;\">x<\/span><\/strong> : \u00d6rnek \u015fu anlama gelir:<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>s<\/strong> : numunenin standart sapmas\u0131<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>Normalle\u015ftirme,<\/strong> her de\u011fer 0 ile 1 aras\u0131nda olacak \u015fekilde veri k\u00fcmesini yeniden boyutland\u0131r\u0131r. Bunu a\u015fa\u011f\u0131daki form\u00fcl\u00fc kullanarak yapar:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>x <sub>yeni<\/sub> = (x <sub>ben<\/sub> \u2013 x <sub>dk<\/sub> ) \/ (x <sub>maksimum<\/sub> \u2013 x <sub>dk<\/sub> )<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>x <sub>i<\/sub><\/strong> : veri k\u00fcmesinin <sup>i&#8217;inci<\/sup> de\u011feri<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>x <sub>min<\/sub><\/strong> : Veri k\u00fcmesindeki minimum de\u011fer<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>x <sub>max<\/sub><\/strong> : Veri k\u00fcmesindeki maksimum de\u011fer<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki \u00f6rnekler pratikte bir veri setinin nas\u0131l standartla\u015ft\u0131r\u0131laca\u011f\u0131n\u0131 ve normalle\u015ftirilece\u011fini g\u00f6stermektedir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek: Veriler nas\u0131l standartla\u015ft\u0131r\u0131l\u0131r<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki veri setine sahip oldu\u011fumuzu varsayal\u0131m:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-16491 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/normaliser01.png\" alt=\"\" width=\"98\" height=\"356\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Veri setindeki ortalama de\u011fer 43,15, standart sapma ise 22,13&#8217;t\u00fcr.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>13&#8217;\u00fcn<\/strong> ilk de\u011ferini normalle\u015ftirmek i\u00e7in daha \u00f6nce payla\u015f\u0131lan form\u00fcl\u00fc uygulayaca\u011f\u0131z:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>x <sub>yeni<\/sub> = (x <sub>ben<\/sub> \u2013 <span style=\"text-decoration: overline;\">x<\/span> ) \/ s<\/strong> = (13 \u2013 43,15) \/ 22,13 = <strong>-1,36<\/strong><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>16&#8217;n\u0131n<\/strong> ikinci de\u011ferini normalle\u015ftirmek i\u00e7in ayn\u0131 form\u00fcl\u00fc kullan\u0131r\u0131z:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>x <sub>yeni<\/sub> = (x <sub>i<\/sub> \u2013 <span style=\"text-decoration: overline;\">x<\/span> ) \/ s<\/strong> = (16 \u2013 43,15) \/ 22,13 = <strong>-1,23<\/strong><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>19&#8217;un<\/strong> \u00fc\u00e7\u00fcnc\u00fc de\u011ferini normalle\u015ftirmek i\u00e7in ayn\u0131 form\u00fcl\u00fc kullan\u0131r\u0131z:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>x <sub>yeni<\/sub> = (x <sub>i<\/sub> \u2013 <span style=\"text-decoration: overline;\">x<\/span> ) \/ s<\/strong> = (19 \u2013 43,15) \/ 22,13 = <strong>-1,09<\/strong><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Orijinal veri k\u00fcmesindeki her de\u011feri standartla\u015ft\u0131rmak i\u00e7in bu form\u00fcl\u00fcn ayn\u0131s\u0131n\u0131 kullanabiliriz:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-17655 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/standardiser0.png\" alt=\"\" width=\"197\" height=\"360\" srcset=\"\" sizes=\"auto, \"><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek: Veriler nas\u0131l normalle\u015ftirilir?<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Yine a\u015fa\u011f\u0131daki veri setine sahip oldu\u011fumuzu varsayal\u0131m:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-16491 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/normaliser01.png\" alt=\"\" width=\"98\" height=\"356\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Veri setindeki minimum de\u011fer 13, maksimum de\u011fer ise 71\u2019dir.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>13&#8217;\u00fcn<\/strong> ilk de\u011ferini normalle\u015ftirmek i\u00e7in daha \u00f6nce payla\u015f\u0131lan form\u00fcl\u00fc uygulayaca\u011f\u0131z:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>x <sub>yeni<\/sub> = (x <sub>i<\/sub> \u2013 x <sub>min<\/sub> ) \/ (x <sub>maks<\/sub> \u2013 x <sub>min<\/sub> )<\/strong> = (13 \u2013 13) \/ (71 \u2013 13) = <strong>0<\/strong><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>16&#8217;n\u0131n<\/strong> ikinci de\u011ferini normalle\u015ftirmek i\u00e7in ayn\u0131 form\u00fcl\u00fc kullan\u0131r\u0131z:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>x <sub>yeni<\/sub> = (x <sub>i<\/sub> \u2013 x <sub>min<\/sub> ) \/ (x <sub>maks<\/sub> \u2013 x <sub>min<\/sub> )<\/strong> = (16 \u2013 13) \/ (71 \u2013 13) = <strong>0,0517<\/strong><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>19&#8217;un<\/strong> \u00fc\u00e7\u00fcnc\u00fc de\u011ferini normalle\u015ftirmek i\u00e7in ayn\u0131 form\u00fcl\u00fc kullan\u0131r\u0131z:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>x <sub>yeni<\/sub> = (x <sub>i<\/sub> \u2013 x <sub>min<\/sub> ) \/ (x <sub>maks<\/sub> \u2013 x <sub>min<\/sub> )<\/strong> = (19 \u2013 13) \/ (71 \u2013 13) = <strong>0,1034<\/strong><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Orijinal veri k\u00fcmesindeki her de\u011feri 0 ile 1 aras\u0131nda normalle\u015ftirmek i\u00e7in bu form\u00fcl\u00fcn ayn\u0131s\u0131n\u0131 kullanabiliriz:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-16492 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/normaliser01-1.png\" alt=\"Verileri 0 ile 1 aras\u0131nda normalle\u015ftirin\" width=\"190\" height=\"354\" srcset=\"\" sizes=\"auto, \"><\/p>\n<h3> <strong>Standardizasyon veya normalizasyon: ne zaman kullan\u0131lmal\u0131?<\/strong><\/h3>\n<p> <span style=\"color: #000000;\">Tipik olarak, farkl\u0131 \u00f6l\u00e7eklerde \u00f6l\u00e7\u00fclen birden fazla de\u011fi\u015fkenin oldu\u011fu ve de\u011fi\u015fkenlerin her birinin ayn\u0131 aral\u0131\u011fa sahip olmas\u0131n\u0131 istedi\u011fimiz bir t\u00fcr analiz yaparken verileri <strong>normalle\u015ftiririz<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu, bir de\u011fi\u015fkenin, \u00f6zellikle farkl\u0131 birimlerle \u00f6l\u00e7\u00fcl\u00fcyorsa (\u00f6rne\u011fin, bir de\u011fi\u015fken in\u00e7, di\u011feri yarda olarak \u00f6l\u00e7\u00fcl\u00fcyorsa) a\u015f\u0131r\u0131 etkiye sahip olmas\u0131n\u0131 \u00f6nler.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6te yandan, bir veri setindeki her bir de\u011ferin ortalamadan ka\u00e7 standart sapma uzakta oldu\u011funu bilmek istedi\u011fimizde genellikle verileri <strong>normalle\u015ftiririz<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, belirli bir okuldaki 500 \u00f6\u011frencinin s\u0131nav puanlar\u0131n\u0131n bir listesine sahip olabiliriz ve her s\u0131nav puan\u0131n\u0131n ortalama puandan ka\u00e7 standart sapma oldu\u011funu bilmek isteriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu durumda ham verileri normalle\u015ftirerek bu bilgiyi \u00f6\u011frenebiliriz. Daha sonra standartla\u015ft\u0131r\u0131lm\u0131\u015f 1,26 puan, bu \u00f6\u011frencinin s\u0131nav puan\u0131n\u0131n ortalama s\u0131nav puan\u0131n\u0131n 1,26 standart sapma \u00fczerinde oldu\u011funu bize s\u00f6yleyecektir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Verilerinizi ister normalle\u015ftirmeye ister standartla\u015ft\u0131rmaya karar verin, a\u015fa\u011f\u0131daki noktalar\u0131 akl\u0131n\u0131zda bulundurun:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>Normalle\u015ftirilmi\u015f bir veri k\u00fcmesi<\/strong> her zaman 0 ile 1 aras\u0131nda de\u011ferlere sahip olacakt\u0131r.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>Standartla\u015ft\u0131r\u0131lm\u0131\u015f bir veri setinin<\/strong> ortalamas\u0131 0 ve standart sapmas\u0131 1 olacakt\u0131r, ancak maksimum ve minimum de\u011ferler i\u00e7in belirli bir \u00fcst veya alt s\u0131n\u0131r yoktur.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u00d6zel senaryonuza ba\u011fl\u0131 olarak verileri normalle\u015ftirmek veya standartla\u015ft\u0131rmak daha anlaml\u0131 olabilir.<\/span><\/p>\n<h3> <strong>Ek kaynaklar<\/strong><\/h3>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki e\u011fitimler, farkl\u0131 istatistiksel yaz\u0131l\u0131mlarda verilerin nas\u0131l standartla\u015ft\u0131r\u0131laca\u011f\u0131n\u0131 ve normalle\u015ftirilece\u011fini a\u00e7\u0131klamaktad\u0131r:<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/tr\/rdeki-veriler-nasil-normallestirilir\/\" target=\"_blank\" rel=\"noopener\">R&#8217;deki veriler nas\u0131l normalle\u015ftirilir<\/a><br \/><a href=\"https:\/\/statorials.org\/tr\/excel-verilerini-normallestirme\/\" target=\"_blank\" rel=\"noopener\">Excel&#8217;de veriler nas\u0131l normalle\u015ftirilir<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/pandalarin-veri-cercevesi-sutunlarini-normallestirme\/\" target=\"_blank\" rel=\"noopener\">Python&#8217;da veriler nas\u0131l normalle\u015ftirilir?<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/rdeki-verileri-normallestir\/\" target=\"_blank\" rel=\"noopener\">R&#8217;deki veriler nas\u0131l standartla\u015ft\u0131r\u0131l\u0131r<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Standardizasyon ve normalle\u015ftirme, verileri yeniden boyutland\u0131rman\u0131n iki yoludur. Normalle\u015ftirme, bir veri k\u00fcmesini ortalama 0 ve standart sapma 1 olacak \u015fekilde \u00f6l\u00e7eklendirir. Bunu yapmak i\u00e7in a\u015fa\u011f\u0131daki form\u00fcl\u00fc kullan\u0131r: x yeni = (x ben \u2013 x ) \/ s Alt\u0131n: x i : veri k\u00fcmesinin i&#8217;inci de\u011feri x : \u00d6rnek \u015fu anlama gelir: s : numunenin standart [&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-1823","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>Standardizasyon veya normalizasyon: fark nedir?<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde standardizasyon ve normalizasyon aras\u0131ndaki fark birka\u00e7 \u00f6rnekle a\u00e7\u0131klanmaktad\u0131r.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, 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