{"id":1623,"date":"2023-07-25T15:11:42","date_gmt":"2023-07-25T15:11:42","guid":{"rendered":"https:\/\/statorials.org\/tr\/rdeki-ortalama-mutlak-hata\/"},"modified":"2023-07-25T15:11:42","modified_gmt":"2023-07-25T15:11:42","slug":"rdeki-ortalama-mutlak-hata","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/rdeki-ortalama-mutlak-hata\/","title":{"rendered":"R&#39;de ortalama mutlak hata nas\u0131l hesaplan\u0131r"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u0130statistiklerde <strong>ortalama mutlak hata<\/strong> (MAE), belirli bir modelin do\u011frulu\u011funu \u00f6l\u00e7menin bir yoludur. A\u015fa\u011f\u0131daki \u015fekilde hesaplan\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\">MAE = (1\/n) * \u03a3|y <sub>i<\/sub> \u2013 x <sub>i<\/sub> |<\/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>y <sub>i<\/sub> :<\/strong> <sup>i&#8217;inci<\/sup> g\u00f6zlem i\u00e7in g\u00f6zlemlenen de\u011fer<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>x <sub>i<\/sub> :<\/strong> <sup>i&#8217;inci<\/sup> g\u00f6zlem i\u00e7in tahmin edilen de\u011fer<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>n:<\/strong> Toplam g\u00f6zlem say\u0131s\u0131<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>Metrics<\/strong> paketindeki <strong>mae (ger\u00e7ek, tahmin edilen)<\/strong> fonksiyonunu kullanarak R&#8217;deki ortalama mutlak hatay\u0131 hesaplayabiliriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu e\u011fitimde bu \u00f6zelli\u011fin pratikte nas\u0131l kullan\u0131laca\u011f\u0131na dair iki \u00f6rnek verilmektedir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek 1: \u0130ki vekt\u00f6r aras\u0131ndaki ortalama mutlak hatay\u0131 hesaplay\u0131n<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki kod, g\u00f6zlemlenen de\u011ferlerin bir vekt\u00f6r\u00fc ile tahmin edilen de\u011ferlerin bir vekt\u00f6r\u00fc aras\u0131ndaki ortalama mutlak hatan\u0131n nas\u0131l hesaplanaca\u011f\u0131n\u0131 g\u00f6sterir:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #993300;\">library<\/span> (Metrics)\n\n<span style=\"color: #008080;\">#define observed and predicted values\n<\/span>observed &lt;- c(12, 13, 14, 15, 15, 22, 27, 29, 29, 30, 32)\npredicted &lt;- c(11, 13, 14, 14, 16, 19, 24, 30, 32, 36, 30)\n\n<span style=\"color: #008080;\">#calculate mean absolute error between vectors\n<\/span>mae(observed, predicted)\n\n[1] 1.909091\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Ortalama mutlak hatan\u0131n (MAE) <strong>1,909<\/strong> oldu\u011fu ortaya \u00e7\u0131k\u0131yor.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu bize g\u00f6zlemlenen de\u011ferler ile tahmin edilen de\u011ferler aras\u0131ndaki ortalama mutlak fark\u0131n 1,909 oldu\u011funu s\u00f6yl\u00fcyor.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek 2: Bir Regresyon Modeli i\u00e7in Ortalama Mutlak Hatan\u0131n Hesaplanmas\u0131<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki kod, R&#8217;ye bir <a href=\"https:\/\/statorials.org\/tr\/coklu-dogrusal-regresyon-r\/\" target=\"_blank\" rel=\"noopener\">regresyon modelinin<\/a> nas\u0131l s\u0131\u011fd\u0131r\u0131laca\u011f\u0131n\u0131 ve ard\u0131ndan model taraf\u0131ndan yap\u0131lan tahminler ile g\u00f6zlemlenen ger\u00e7ek yan\u0131t de\u011ferleri aras\u0131ndaki ortalama mutlak hatan\u0131n nas\u0131l hesaplanaca\u011f\u0131n\u0131 g\u00f6sterir:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #993300;\">library<\/span> (Metrics)\n\n<span style=\"color: #008080;\">#create data\n<\/span>df &lt;- data. <span style=\"color: #3366ff;\">frame<\/span> (x1=c(1, 3, 3, 4, 4, 6, 6, 8, 9, 3),\n                 x2=c(7, 7, 4, 10, 13, 12, 17, 19, 20, 34),\n                 y=c(17, 18, 19, 20, 24, 28, 25, 29, 30, 32))\n\n<span style=\"color: #008080;\">#view first six rows of data<\/span>\nhead(df)\n\n  x1 x2 y\n1 1 7 17\n2 3 7 18\n3 3 4 19\n4 4 10 20\n5 4 13 24\n6 6 12 28\n\n<span style=\"color: #008080;\">#fit regression model\n<\/span>model &lt;- lm(y~x1+x2, data=df)\n\n<span style=\"color: #008080;\">#calculate MAE between predicted values and observed values<\/span>\nmae(df$y, predict(model))\n\n[1] 1.238241\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Ortalama mutlak hatan\u0131n (MAE) <strong>1,238<\/strong> oldu\u011fu ortaya \u00e7\u0131k\u0131yor.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu bize g\u00f6zlemlenen de\u011ferler ile tahmin edilen de\u011ferler aras\u0131ndaki ortalama mutlak fark\u0131n 1,238 oldu\u011funu s\u00f6yl\u00fcyor.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Genel olarak MAE de\u011feri ne kadar d\u00fc\u015f\u00fck olursa, model bir veri setine o kadar iyi uyum sa\u011flayabilir. \u0130ki farkl\u0131 modeli kar\u015f\u0131la\u015ft\u0131rd\u0131\u011f\u0131m\u0131zda, hangisinin veri setine en iyi uyumu sa\u011flad\u0131\u011f\u0131n\u0131 bulmak i\u00e7in her modelin MAE&#8217;sini kar\u015f\u0131la\u015ft\u0131rabiliriz.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h3>\n<p> Ortalama Mutlak Hata Hesaplay\u0131c\u0131<br \/> <a href=\"https:\/\/statorials.org\/tr\/mutlak-hata-excel-anlamina-gelir\/\" target=\"_blank\" rel=\"noopener\">Excel&#8217;de Ortalama Mutlak Hata Nas\u0131l Hesaplan\u0131r<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/mutlak-hata-python-anlamina-gelir\/\" target=\"_blank\" rel=\"noopener\">Python&#8217;da Ortalama Mutlak Hata Nas\u0131l Hesaplan\u0131r?<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0130statistiklerde ortalama mutlak hata (MAE), belirli bir modelin do\u011frulu\u011funu \u00f6l\u00e7menin bir yoludur. A\u015fa\u011f\u0131daki \u015fekilde hesaplan\u0131r: MAE = (1\/n) * \u03a3|y i \u2013 x i | Alt\u0131n: \u03a3: \u201ctoplam\u201d anlam\u0131na gelen Yunanca bir sembol y i : i&#8217;inci g\u00f6zlem i\u00e7in g\u00f6zlemlenen de\u011fer x i : i&#8217;inci g\u00f6zlem i\u00e7in tahmin edilen de\u011fer n: Toplam g\u00f6zlem say\u0131s\u0131 Metrics [&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-1623","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>R - Statorials&#039;da ortalama mutlak hata nas\u0131l hesaplan\u0131r<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde R&#039;de ortalama mutlak hatan\u0131n (MAE) nas\u0131l hesaplanaca\u011f\u0131 birka\u00e7 \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\/rdeki-ortalama-mutlak-hata\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"R - 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