{"id":1586,"date":"2023-07-25T18:29:30","date_gmt":"2023-07-25T18:29:30","guid":{"rendered":"https:\/\/statorials.org\/tr\/hayir-rde\/"},"modified":"2023-07-25T18:29:30","modified_gmt":"2023-07-25T18:29:30","slug":"hayir-rde","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/hayir-rde\/","title":{"rendered":"R&#39;de auc (e\u011frinin alt\u0131ndaki alan) nas\u0131l hesaplan\u0131r"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/tr\/lojistik-regresyon-1\/\" target=\"_blank\" rel=\"noopener noreferrer\">Lojistik regresyon,<\/a> yan\u0131t de\u011fi\u015fkeni ikili oldu\u011funda bir regresyon modeline uymak i\u00e7in kulland\u0131\u011f\u0131m\u0131z istatistiksel bir y\u00f6ntemdir. Lojistik regresyon modelinin bir veri k\u00fcmesine ne kadar iyi uydu\u011funu de\u011ferlendirmek i\u00e7in a\u015fa\u011f\u0131daki iki \u00f6l\u00e7\u00fcme bakabiliriz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>Duyarl\u0131l\u0131k:<\/strong> Sonu\u00e7 ger\u00e7ekten olumluyken modelin bir g\u00f6zlem i\u00e7in olumlu bir sonu\u00e7 tahmin etme olas\u0131l\u0131\u011f\u0131. Buna ayn\u0131 zamanda \u201cger\u00e7ek pozitif oran\u201d da denir.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>\u00d6zg\u00fcll\u00fck:<\/strong> Sonu\u00e7 ger\u00e7ekten negatif oldu\u011funda modelin bir g\u00f6zlem i\u00e7in negatif bir sonu\u00e7 \u00f6ng\u00f6rme olas\u0131l\u0131\u011f\u0131. Buna ayn\u0131 zamanda \u201cger\u00e7ek negatif oran\u201d da denir.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Bu iki \u00f6l\u00e7\u00fcm\u00fc g\u00f6rselle\u015ftirmenin bir yolu, &#8220;al\u0131c\u0131 \u00e7al\u0131\u015fma karakteristi\u011fi&#8221; e\u011frisi anlam\u0131na gelen bir <strong>ROC e\u011frisi<\/strong> olu\u015fturmakt\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu, y ekseni boyunca duyarl\u0131l\u0131\u011f\u0131 ve x ekseni boyunca (1 \u2013 \u00f6zg\u00fcll\u00fc\u011f\u00fc) g\u00f6r\u00fcnt\u00fcleyen bir grafiktir. Lojistik regresyon modelinin verileri s\u0131n\u0131fland\u0131rmadaki etkinli\u011fini \u00f6l\u00e7menin bir yolu, &#8220;e\u011frinin alt\u0131ndaki alan&#8221; anlam\u0131na gelen <strong>AUC&#8217;yi<\/strong> hesaplamakt\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">AUC 1&#8217;e ne kadar yak\u0131nsa model o kadar iyidir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki ad\u0131m ad\u0131m \u00f6rnek, R&#8217;deki bir lojistik regresyon modeli i\u00e7in AUC&#8217;nin nas\u0131l hesaplanaca\u011f\u0131n\u0131 g\u00f6sterir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>1. Ad\u0131m: Verileri y\u00fckleyin<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u0130lk olarak, \u00e7e\u015fitli ki\u015filerin bir kredide temerr\u00fcde d\u00fc\u015f\u00fcp d\u00fc\u015fmedi\u011fine ili\u015fkin bilgileri i\u00e7eren <strong>ISLR<\/strong> paketinden <strong>varsay\u0131lan<\/strong> veri k\u00fcmesini y\u00fckleyece\u011fiz.<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#load dataset\n<\/span>data &lt;- ISLR::Default\n\n<span style=\"color: #008080;\">#view first six rows of dataset\n<\/span>head(data)\n\n  default student balance income\n1 No No 729.5265 44361.625\n2 No Yes 817.1804 12106.135\n3 No No 1073.5492 31767.139\n4 No No 529.2506 35704.494\n5 No No 785.6559 38463.496\n6 No Yes 919.5885 7491.559\n<\/strong><\/pre>\n<h3> <span style=\"color: #000000;\"><strong>Ad\u0131m 2: Lojistik regresyon modelini yerle\u015ftirin<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Daha sonra, bir bireyin temerr\u00fcde d\u00fc\u015fme olas\u0131l\u0131\u011f\u0131n\u0131 tahmin etmek i\u00e7in bir lojistik regresyon modeli uygulayaca\u011f\u0131z:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#make this example reproducible\n<\/span>set. <span style=\"color: #3366ff;\">seeds<\/span> (1)\n\n<span style=\"color: #008080;\">#Use 70% of dataset as training set and remaining 30% as testing set\n<\/span>sample &lt;- sample(c(TRUE, FALSE), nrow(data), replace= <span style=\"color: #008000;\">TRUE<\/span> , prob=c(0.7,0.3))\ntrain &lt;- data[sample, ]\ntest &lt;- data[!sample, ] \n\n<span style=\"color: #008080;\">#fit logistic regression model\n<\/span>model &lt;- glm(default~student+balance+income, family=\" <span style=\"color: #008000;\">binomial<\/span> \", data=train)<\/strong><\/pre>\n<h3> <span style=\"color: #000000;\"><strong>Ad\u0131m 3: Model AUC&#8217;sini Hesaplay\u0131n<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Daha sonra, modelin AUC&#8217;sini hesaplamak i\u00e7in <strong>pROC<\/strong> paketindeki <strong>auc()<\/strong> fonksiyonunu kullanaca\u011f\u0131z. Bu i\u015flev a\u015fa\u011f\u0131daki s\u00f6zdizimini kullan\u0131r:<\/span><\/p>\n<p> <strong><span style=\"color: #000000;\">hi\u00e7biri(yan\u0131t, tahmin edilen)<\/span><\/strong><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fimizde bu fonksiyonun nas\u0131l kullan\u0131laca\u011f\u0131 a\u015fa\u011f\u0131da a\u00e7\u0131klanm\u0131\u015ft\u0131r:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#calculate probability of default for each individual in test dataset\n<\/span>predicted &lt;- predict(model, test, type=\" <span style=\"color: #008000;\">response<\/span> \")\n\n<span style=\"color: #008080;\">#calculate AUC\n<\/span><span style=\"color: #993300;\">library<\/span> (pROC)\nauc(test$default, predicted)\n\nSetting levels: control = No, case = Yes\nSetting direction: controls &lt; boxes\nArea under the curve: 0.9437\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Modelin AUC&#8217;si <strong>0,9437<\/strong> olarak \u00e7\u0131k\u0131yor.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu de\u011ferin 1&#8217;e yak\u0131n olmas\u0131, modelin, bir bireyin kredisini \u00f6deyememe durumunu tahmin etme konusunda \u00e7ok iyi bir i\u015f \u00e7\u0131kard\u0131\u011f\u0131n\u0131 g\u00f6sterir.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Lojistik regresyon, yan\u0131t de\u011fi\u015fkeni ikili oldu\u011funda bir regresyon modeline uymak i\u00e7in kulland\u0131\u011f\u0131m\u0131z istatistiksel bir y\u00f6ntemdir. Lojistik regresyon modelinin bir veri k\u00fcmesine ne kadar iyi uydu\u011funu de\u011ferlendirmek i\u00e7in a\u015fa\u011f\u0131daki iki \u00f6l\u00e7\u00fcme bakabiliriz: Duyarl\u0131l\u0131k: Sonu\u00e7 ger\u00e7ekten olumluyken modelin bir g\u00f6zlem i\u00e7in olumlu bir sonu\u00e7 tahmin etme olas\u0131l\u0131\u011f\u0131. Buna ayn\u0131 zamanda \u201cger\u00e7ek pozitif oran\u201d da denir. \u00d6zg\u00fcll\u00fck: Sonu\u00e7 [&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-1586","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 - Statorialsde AUC (e\u011frinin alt\u0131ndaki alan) nas\u0131l hesaplan\u0131r?<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde, ad\u0131m ad\u0131m bir \u00f6rnek de dahil olmak \u00fczere R&#039;de AUC&#039;nin (e\u011fri alt\u0131ndaki alan) nas\u0131l hesaplanaca\u011f\u0131 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\/hayir-rde\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"R - Statorialsde AUC (e\u011frinin alt\u0131ndaki alan) nas\u0131l hesaplan\u0131r?\" \/>\n<meta property=\"og:description\" content=\"Bu e\u011fitimde, ad\u0131m ad\u0131m bir \u00f6rnek de dahil olmak \u00fczere R&#039;de AUC&#039;nin (e\u011fri alt\u0131ndaki alan) nas\u0131l hesaplanaca\u011f\u0131 a\u00e7\u0131klanmaktad\u0131r.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/tr\/hayir-rde\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-25T18:29:30+00:00\" \/>\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=\"2 dakika\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/tr\/hayir-rde\/\",\"url\":\"https:\/\/statorials.org\/tr\/hayir-rde\/\",\"name\":\"R - Statorialsde AUC (e\u011frinin alt\u0131ndaki alan) nas\u0131l hesaplan\u0131r?\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/tr\/#website\"},\"datePublished\":\"2023-07-25T18:29:30+00:00\",\"dateModified\":\"2023-07-25T18:29:30+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\"},\"description\":\"Bu e\u011fitimde, ad\u0131m ad\u0131m bir \u00f6rnek de dahil olmak \u00fczere R&#39;de AUC&#39;nin (e\u011fri alt\u0131ndaki alan) nas\u0131l hesaplanaca\u011f\u0131 a\u00e7\u0131klanmaktad\u0131r.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/tr\/hayir-rde\/#breadcrumb\"},\"inLanguage\":\"tr\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/tr\/hayir-rde\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/tr\/hayir-rde\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Ev\",\"item\":\"https:\/\/statorials.org\/tr\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"R&#39;de auc (e\u011frinin alt\u0131ndaki alan) nas\u0131l hesaplan\u0131r\"}]},{\"@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. 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