{"id":2043,"date":"2023-07-23T23:20:33","date_gmt":"2023-07-23T23:20:33","guid":{"rendered":"https:\/\/statorials.org\/tr\/kaya-egrisini-yorumla\/"},"modified":"2023-07-23T23:20:33","modified_gmt":"2023-07-23T23:20:33","slug":"kaya-egrisini-yorumla","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/kaya-egrisini-yorumla\/","title":{"rendered":"Roc e\u011frisi nas\u0131l yorumlan\u0131r (\u00f6rneklerle)"},"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.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>\u00d6zg\u00fcll\u00fck:<\/strong> Sonu\u00e7 ger\u00e7ekte negatif oldu\u011funda modelin bir g\u00f6zlem i\u00e7in negatif bir sonu\u00e7 \u00f6ng\u00f6rme olas\u0131l\u0131\u011f\u0131.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Bu iki \u00f6l\u00e7\u00fcm\u00fc g\u00f6rselle\u015ftirmenin basit bir yolu, lojistik regresyon modelinin duyarl\u0131l\u0131\u011f\u0131n\u0131 ve \u00f6zg\u00fcll\u00fc\u011f\u00fcn\u00fc g\u00f6steren bir grafik olan <strong>ROC e\u011frisi<\/strong> olu\u015fturmakt\u0131r.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-19099 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/read_roc1.png\" alt=\"\" width=\"514\" height=\"400\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Bu e\u011fitimde bir ROC e\u011frisinin nas\u0131l olu\u015fturulaca\u011f\u0131 ve yorumlanaca\u011f\u0131 a\u00e7\u0131klanmaktad\u0131r.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>ROC E\u011frisi Nas\u0131l Olu\u015fturulur<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Lojistik regresyon modelini yerle\u015ftirdikten sonra bu modeli <a href=\"https:\/\/statorials.org\/tr\/istatistikte-gozlem\/\" target=\"_blank\" rel=\"noopener\">g\u00f6zlemleri<\/a> iki kategoriden birinde s\u0131n\u0131fland\u0131rmak i\u00e7in kullanabiliriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin g\u00f6zlemleri \u201columlu\u201d veya \u201columsuz\u201d olarak s\u0131n\u0131fland\u0131rabiliriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ger\u00e7ek pozitif oran,<\/strong> ger\u00e7ekte pozitif olmas\u0131 gereken g\u00f6zlemlerin oran\u0131n\u0131 temsil eder.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Tersine, <strong>yanl\u0131\u015f pozitif oran\u0131,<\/strong> pozitif olmas\u0131 gereken ancak ger\u00e7ekte negatif olan g\u00f6zlemlerin oran\u0131n\u0131 temsil eder.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bir ROC e\u011frisi olu\u015fturdu\u011fumuzda, lojistik regresyon modelinin her olas\u0131 karar e\u015fi\u011fi i\u00e7in ger\u00e7ek pozitif oran ile yanl\u0131\u015f pozitif oran \u00e7iftlerini \u00e7izeriz.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-19099 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/read_roc1.png\" alt=\"\" width=\"514\" height=\"400\" srcset=\"\" sizes=\"auto, \"><\/p>\n<h3> <span style=\"color: #000000;\"><strong>ROC e\u011frisi nas\u0131l yorumlan\u0131r?<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">ROC e\u011frisi grafi\u011fin sol \u00fcst k\u00f6\u015fesine ne kadar yak\u0131n olursa, model verileri kategorilere g\u00f6re o kadar iyi s\u0131n\u0131fland\u0131rabilir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bunu \u00f6l\u00e7mek i\u00e7in, bize grafi\u011fin ne kadar\u0131n\u0131n e\u011frinin alt\u0131nda oldu\u011funu s\u00f6yleyen <strong>AUC&#8217;yi<\/strong> (e\u011frinin alt\u0131ndaki alan) hesaplayabiliriz.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-19100 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/read_roc2.png\" alt=\"\" width=\"509\" height=\"397\" srcset=\"\" sizes=\"auto, \"><\/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;\">AUC de\u011feri 0,5&#8217;e e\u015fit olan bir model m\u00fckemmel bir \u00e7apraz \u00e7izgi olacakt\u0131r ve rastgele s\u0131n\u0131fland\u0131rma yapan bir modelden daha iyi olmayan bir modeli temsil edecektir.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-19103 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/read_roc4.png\" alt=\"\" width=\"508\" height=\"391\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">\u00c7oklu lojistik regresyon modelleri i\u00e7in AUC&#8217;yi hesaplamak \u00f6zellikle yararl\u0131d\u0131r \u00e7\u00fcnk\u00fc hangi modelin tahmin yapmada en iyi oldu\u011funu g\u00f6rmemize olanak tan\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, \u00fc\u00e7 farkl\u0131 lojistik regresyon modeli uydurdu\u011fumuzu ve her model i\u00e7in a\u015fa\u011f\u0131daki ROC e\u011frilerini \u00e7izdi\u011fimizi varsayal\u0131m:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-19101 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/read_roc3.png\" alt=\"\" width=\"514\" height=\"395\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Her model i\u00e7in AUC&#8217;yi a\u015fa\u011f\u0131daki \u015fekilde hesaplad\u0131\u011f\u0131m\u0131z\u0131 varsayal\u0131m:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>Model A:<\/strong> AUC = 0,923<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>Model B:<\/strong> AUC = 0,794<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>Model C:<\/strong> AUC = 0,588<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Model A, en y\u00fcksek AUC&#8217;ye sahiptir; bu, onun e\u011fri alt\u0131nda en y\u00fcksek alana sahip oldu\u011funu ve g\u00f6zlemleri kategoriler halinde do\u011fru bir \u015fekilde s\u0131n\u0131fland\u0131rmak i\u00e7in en iyi model oldu\u011funu g\u00f6sterir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki e\u011fitimlerde farkl\u0131 istatistiksel yaz\u0131l\u0131mlar kullan\u0131larak ROC e\u011frilerinin nas\u0131l olu\u015fturulaca\u011f\u0131 a\u00e7\u0131klanmaktad\u0131r:<\/span><\/p>\n<ul>\n<li> <a href=\"https:\/\/statorials.org\/tr\/kaya-egrisi-ggplot2\/\" target=\"_blank\" rel=\"noopener\">R&#8217;de bir ROC e\u011frisi nas\u0131l \u00e7izilir<\/a><\/li>\n<li><a href=\"https:\/\/statorials.org\/tr\/roc-egrisi-pythonunun-izini-sur\/\" target=\"_blank\" rel=\"noopener\">Python&#8217;da bir ROC e\u011frisi nas\u0131l \u00e7izilir<\/a><\/li>\n<li> <a href=\"https:\/\/statorials.org\/tr\/kaya-egrisi-excel\/\" target=\"_blank\" rel=\"noopener\">Excel&#8217;de ROC E\u011frisi Nas\u0131l Olu\u015fturulur<\/a><\/li>\n<li> <a href=\"https:\/\/statorials.org\/tr\/spss-kaya-egrisi\/\" target=\"_blank\" rel=\"noopener\">SPSS&#8217;de ROC E\u011frisi Nas\u0131l Olu\u015fturulur ve Yorumlan\u0131r<\/a><\/li>\n<li> <a href=\"https:\/\/statorials.org\/tr\/kaya-egrisi-durumu\/\" target=\"_blank\" rel=\"noopener\">Stata&#8217;da ROC e\u011frisi nas\u0131l olu\u015fturulur ve yorumlan\u0131r<\/a><\/li>\n<\/ul>\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. \u00d6zg\u00fcll\u00fck: Sonu\u00e7 ger\u00e7ekte negatif oldu\u011funda modelin bir g\u00f6zlem i\u00e7in negatif [&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-2043","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>ROC E\u011frisi Nas\u0131l Yorumlan\u0131r (\u00d6rneklerle) - Statorials<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde ayr\u0131nt\u0131l\u0131 bir a\u00e7\u0131klama ve \u00e7e\u015fitli \u00f6rnekler de dahil olmak \u00fczere istatistiklerde bir ROC e\u011frisinin nas\u0131l yorumlanaca\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\/kaya-egrisini-yorumla\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"ROC E\u011frisi Nas\u0131l Yorumlan\u0131r (\u00d6rneklerle) - 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