{"id":1312,"date":"2023-07-26T22:13:41","date_gmt":"2023-07-26T22:13:41","guid":{"rendered":"https:\/\/statorials.org\/tr\/standartlastirilmis-python-kalintilari\/"},"modified":"2023-07-26T22:13:41","modified_gmt":"2023-07-26T22:13:41","slug":"standartlastirilmis-python-kalintilari","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/standartlastirilmis-python-kalintilari\/","title":{"rendered":"Python&#39;da 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 Python&#8217;da standartla\u015ft\u0131r\u0131lm\u0131\u015f art\u0131klar\u0131n nas\u0131l hesaplanaca\u011f\u0131na dair 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 Python&#8217;da \u00e7al\u0131\u015faca\u011f\u0131m\u0131z k\u00fc\u00e7\u00fck bir veri k\u00fcmesi olu\u015fturaca\u011f\u0131z:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008000;\">import<\/span> pandas <span style=\"color: #008000;\">as<\/span> pd\n\n<span style=\"color: #008080;\">#create dataset\n<\/span>df = pd. <span style=\"color: #3366ff;\">DataFrame<\/span> ({' <span style=\"color: #008000;\">x<\/span> ': [8, 12, 12, 13, 14, 16, 17, 22, 24, 26, 29, 30],\n                   ' <span style=\"color: #008000;\">y<\/span> ': [41, 42, 39, 37, 35, 39, 45, 46, 39, 49, 55, 57]})\n<\/strong><\/pre>\n<h3> <span style=\"color: #000000;\"><strong>Ad\u0131m 2: Regresyon modelini yerle\u015ftirin<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Daha sonra <a href=\"https:\/\/statorials.org\/tr\/pythonda-basit-dogrusal-regresyon\/\" target=\"_blank\" rel=\"noopener\">basit bir do\u011frusal regresyon modeli<\/a> uygulayaca\u011f\u0131z:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <span style=\"color: #000000;\"><strong><span style=\"color: #008000;\">import<\/span> statsmodels. <span style=\"color: #3366ff;\">api<\/span> <span style=\"color: #008000;\">as<\/span> sm\n\n<span style=\"color: #008080;\">#define response variable\n<\/span>y = df[' <span style=\"color: #008000;\">y<\/span> ']\n\n<span style=\"color: #008080;\">#define explanatory variable\n<\/span>x = df[' <span style=\"color: #008000;\">x<\/span> ']\n\n<span style=\"color: #008080;\">#add constant to predictor variables\n<\/span>x = sm. <span style=\"color: #3366ff;\">add_constant<\/span> (x)\n\n<span style=\"color: #008080;\">#fit linear regression model\n<\/span>model = sm. <span style=\"color: #3366ff;\">OLS<\/span> (y,x). <span style=\"color: #3366ff;\">fit<\/span> ()<\/strong><\/span><\/pre>\n<h3> <span style=\"color: #000000;\"><strong>Ad\u0131m 3: Standartla\u015ft\u0131r\u0131lm\u0131\u015f art\u0131klar\u0131 hesaplay\u0131n<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Daha sonra modelin standartla\u015ft\u0131r\u0131lm\u0131\u015f art\u0131klar\u0131n\u0131 hesaplayaca\u011f\u0131z:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create instance of influence\n<\/span>influence = model. <span style=\"color: #3366ff;\">get_influence<\/span> ()\n\n<span style=\"color: #008080;\">#obtain standardized residuals\n<\/span>standardized_residuals = influence. <span style=\"color: #3366ff;\">reside_studentized_internal<\/span>\n\n<span style=\"color: #008080;\">#display standardized residuals\n<\/span><span style=\"color: #993300;\">print<\/span> (standardized_residuals)\n\n[ 1.40517322 0.81017562 0.07491009 -0.59323342 -1.2482053 -0.64248883\n  0.59610905 -0.05876884 -2.11711982 -0.066556 0.91057211 1.26973888]<\/strong><\/pre>\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<h3> <span style=\"color: #000000;\"><strong>Ad\u0131m 4: Standartla\u015ft\u0131r\u0131lm\u0131\u015f art\u0131klar\u0131 g\u00f6rselle\u015ftirin<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Son olarak, tahmin de\u011fi\u015fkeninin de\u011ferlerini standartla\u015ft\u0131r\u0131lm\u0131\u015f art\u0131klara g\u00f6re g\u00f6rselle\u015ftirmek i\u00e7in bir da\u011f\u0131l\u0131m grafi\u011fi olu\u015fturabiliriz:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\"><span style=\"color: #000000;\"><span style=\"color: #008000;\">import<\/span> matplotlib. <span style=\"color: #3366ff;\">pyplot<\/span> <span style=\"color: #008000;\">as<\/span> plt\n\nplt. <span style=\"color: #3366ff;\">scatter<\/span> (df.x, standardized_residuals)\nplt. <span style=\"color: #3366ff;\">xlabel<\/span> (' <span style=\"color: #008000;\">x<\/span> ')\nplt. <span style=\"color: #3366ff;\">ylabel<\/span> (' <span style=\"color: #008000;\">Standardized Residuals<\/span> ')\nplt. <span style=\"color: #3366ff;\">axhline<\/span> (y=0, color=' <span style=\"color: #008000;\">black<\/span> ', linestyle=' <span style=\"color: #008000;\">--<\/span> ', linewidth=1)\nplt. <span style=\"color: #3366ff;\">show<\/span> ()<\/span><\/span><\/strong><\/pre>\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\/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\/excel-normallestirilmis-artiklar\/\" target=\"_blank\" rel=\"noopener\">Excel&#8217;de 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-1312","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>Python&#039;da 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