{"id":1576,"date":"2023-07-25T19:42:15","date_gmt":"2023-07-25T19:42:15","guid":{"rendered":"https:\/\/statorials.org\/tr\/rde-matris-karisikligi\/"},"modified":"2023-07-25T19:42:15","modified_gmt":"2023-07-25T19:42:15","slug":"rde-matris-karisikligi","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/rde-matris-karisikligi\/","title":{"rendered":"R&#39;de kar\u0131\u015f\u0131kl\u0131k matrisi nas\u0131l olu\u015fturulur (ad\u0131m ad\u0131m)"},"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\">Lojistik regresyon<\/a> , yan\u0131t de\u011fi\u015fkeni ikili oldu\u011funda kullanabilece\u011fimiz bir regresyon t\u00fcr\u00fcd\u00fcr.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Lojistik regresyon modelinin kalitesini de\u011ferlendirmenin yayg\u0131n bir yolu, modelin tahmin edilen de\u011ferleri ile test veri k\u00fcmesinin ger\u00e7ek de\u011ferlerini g\u00f6steren 2&#215;2&#8217;lik bir tablo olan bir <strong>kar\u0131\u015f\u0131kl\u0131k matrisi<\/strong> olu\u015fturmakt\u0131r.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-15654 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/confusionr1.png\" alt=\"\" width=\"292\" height=\"129\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki ad\u0131m ad\u0131m \u00f6rnek, R&#8217;de bir kar\u0131\u015f\u0131kl\u0131k matrisinin nas\u0131l olu\u015fturulaca\u011f\u0131n\u0131 g\u00f6sterir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ad\u0131m 1: Lojistik regresyon modelini yerle\u015ftirin<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Bu \u00f6rnek i\u00e7in <strong>ISLR<\/strong> paketindeki <strong>varsay\u0131lan<\/strong> veri k\u00fcmesini kullanaca\u011f\u0131z. Belirli bir ki\u015finin kredisini \u00f6deyememe olas\u0131l\u0131\u011f\u0131n\u0131 tahmin etmek i\u00e7in \u00f6\u011frenci durumunu, banka bakiyesini ve y\u0131ll\u0131k geliri kullanaca\u011f\u0131z.<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki kod, lojistik regresyon modelinin bu veri k\u00fcmesine nas\u0131l s\u0131\u011fd\u0131r\u0131laca\u011f\u0131n\u0131 g\u00f6sterir:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#load necessary packages\n<\/span><span style=\"color: #993300;\">library<\/span> (caret)\n<span style=\"color: #993300;\">library<\/span> (InformationValue)\n<span style=\"color: #993300;\">library<\/span> (ISLR)\n\n<span style=\"color: #008080;\">#load dataset\n<\/span>data &lt;-Default\n\n<span style=\"color: #008080;\">#split dataset into training and testing set\n<\/span>set. <span style=\"color: #3366ff;\">seeds<\/span> (1)\nsample &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)\n<\/strong><\/pre>\n<h3> <span style=\"color: #000000;\"><strong>Ad\u0131m 2: Kar\u0131\u015f\u0131kl\u0131k Matrisini Olu\u015fturun<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Daha sonra, bir kar\u0131\u015f\u0131kl\u0131k matrisi olu\u015fturmak i\u00e7in <strong>caret<\/strong> paketindeki <strong>ConfusedMatrix()<\/strong> fonksiyonunu kullanaca\u011f\u0131z:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#use model to predict probability of default\n<span style=\"color: #000000;\">predicted &lt;- predict(model, test, type=\"response\")\n<\/span>\n#convert defaults from \"Yes\" and \"No\" to 1's and 0's\n<span style=\"color: #000000;\">test$default &lt;- ifelse(test$default==\" <span style=\"color: #008000;\">Yes<\/span> \", 1, 0)\n<\/span>\n#find optimal cutoff probability to use to maximize accuracy\n<span style=\"color: #000000;\">optimal &lt;- optimalCutoff(test$default, predicted)[1]\n<\/span>\n#create confusion matrix\n<span style=\"color: #000000;\">confusionMatrix(test$default, predicted)\n\n     0 1\n0 2912 64\n1 21 39\n<\/span><\/span><\/strong><\/pre>\n<h3> <span style=\"color: #000000;\"><strong>3. Ad\u0131m: Kar\u0131\u015f\u0131kl\u0131k matrisini de\u011ferlendirin<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Kar\u0131\u015f\u0131kl\u0131k matrisini kullanarak a\u015fa\u011f\u0131daki metrikleri de hesaplayabiliriz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>Duyarl\u0131l\u0131k:<\/strong> &#8220;Ger\u00e7ek pozitiflik oran\u0131&#8221; &#8211; modelin do\u011fru \u015fekilde tahmin etti\u011fi bireylerin temerr\u00fcde d\u00fc\u015fecek y\u00fczdesi.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>\u00d6zg\u00fcll\u00fck:<\/strong> &#8220;Ger\u00e7ek negatif oran&#8221; &#8211; modelin do\u011fru \u015fekilde tahmin etti\u011fi bireylerin temerr\u00fcde <em>d\u00fc\u015fmeyecek<\/em> y\u00fczdesi.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>Toplam yanl\u0131\u015f s\u0131n\u0131fland\u0131rma oran\u0131:<\/strong> Model taraf\u0131ndan yap\u0131lan toplam yanl\u0131\u015f s\u0131n\u0131fland\u0131rmalar\u0131n y\u00fczdesi.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki kod bu metriklerin nas\u0131l hesaplanaca\u011f\u0131n\u0131 g\u00f6sterir:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <span style=\"color: #000000;\"><strong><span style=\"color: #008080;\">#calculate sensitivity<\/span>\nsensitivity(test$default, predicted)\n\n[1] 0.3786408\n\n<span style=\"color: #008080;\">#calculate specificity\n<\/span>specificity(test$default, predicted)\n\n[1] 0.9928401\n\n<span style=\"color: #008080;\">#calculate total misclassification error rate\n<\/span>misClassError(test$default, predicted, <span style=\"color: #3366ff;\">threshold<\/span> =optimal)\n\n[1] 0.027<\/strong><\/span><\/pre>\n<p> <span style=\"color: #000000;\">Bu model i\u00e7in toplam s\u0131n\u0131fland\u0131rma hatas\u0131 oran\u0131 <strong>%2,7&#8217;dir<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Genel olarak bu oran ne kadar d\u00fc\u015f\u00fck olursa model sonu\u00e7lar\u0131 o kadar iyi tahmin edebilir. Dolay\u0131s\u0131yla bu \u00f6zel modelin, bir bireyin temerr\u00fcde d\u00fc\u015f\u00fcp d\u00fc\u015fmeyece\u011fini tahmin etmede \u00e7ok etkili oldu\u011fu kan\u0131tlanm\u0131\u015ft\u0131r.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Lojistik regresyon , yan\u0131t de\u011fi\u015fkeni ikili oldu\u011funda kullanabilece\u011fimiz bir regresyon t\u00fcr\u00fcd\u00fcr. Lojistik regresyon modelinin kalitesini de\u011ferlendirmenin yayg\u0131n bir yolu, modelin tahmin edilen de\u011ferleri ile test veri k\u00fcmesinin ger\u00e7ek de\u011ferlerini g\u00f6steren 2&#215;2&#8217;lik bir tablo olan bir kar\u0131\u015f\u0131kl\u0131k matrisi olu\u015fturmakt\u0131r. A\u015fa\u011f\u0131daki ad\u0131m ad\u0131m \u00f6rnek, R&#8217;de bir kar\u0131\u015f\u0131kl\u0131k matrisinin nas\u0131l olu\u015fturulaca\u011f\u0131n\u0131 g\u00f6sterir. Ad\u0131m 1: Lojistik regresyon modelini yerle\u015ftirin [&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-1576","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&#039;de Kar\u0131\u015f\u0131kl\u0131k Matrisi Nas\u0131l Olu\u015fturulur (Ad\u0131m Ad\u0131m)<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde, ad\u0131m ad\u0131m bir \u00f6rnek de dahil olmak \u00fczere R&#039;de bir kar\u0131\u015f\u0131kl\u0131k matrisinin nas\u0131l olu\u015fturulaca\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 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