{"id":4081,"date":"2026-10-15T05:10:58","date_gmt":"2026-10-15T04:10:58","guid":{"rendered":"https:\/\/wpcalc.com\/tr\/istatistik\/roc-auc-hesaplayici\/"},"modified":"2026-10-15T05:10:58","modified_gmt":"2026-10-15T04:10:58","slug":"roc-auc-hesaplayici","status":"publish","type":"post","link":"https:\/\/wpcalc.com\/tr\/istatistik\/roc-auc-hesaplayici\/","title":{"rendered":"ROC AUC Hesaplay\u0131c\u0131"},"content":{"rendered":"<section class=\"not-prose calculator-box\" aria-labelledby=\"calculator-title\"><div class=\"flex items-baseline sm:items-center justify-between gap-2 sm:gap-3\"><div class=\"flex flex-col sm:flex-row sm:items-center gap-2\"><span class=\"icon icon-calculator text-primary-700! text-base! dark:text-primary-300!\" aria-hidden=\"true\"><\/span><h2 id=\"calculator-title\" class=\"text-lg font-display font-bold\">Puanlar\u0131n\u0131z\u0131n iki s\u0131n\u0131f\u0131 ne kadar iyi ay\u0131rd\u0131\u011f\u0131n\u0131 \u00f6l\u00e7\u00fcn<\/h2><\/div><div class=\"calcdash-favorite group\">\n  <button type=\"button\" class=\"favorite\" id=\"favorite\" data-favorite-id=\"4081\" data-favorite-title=\"ROC AUC\" data-favorite-url=\"https:\/\/wpcalc.com\/tr\/istatistik\/roc-auc-hesaplayici\/\" data-favorite-excerpt=\"S\u0131n\u0131f etiketlerini (0\/1) ve tahmin puanlar\u0131n\u0131 girin; ROC AUC, Gini katsay\u0131s\u0131, Youden J&#039;ye g\u00f6re en iyi e\u015fik de\u011feri, kar\u0131\u015f\u0131kl\u0131k matrisi ve ROC e\u011frisinin t\u00fcm noktalar\u0131 hesaplan\u0131r.\" aria-label=\"Favorilere ekle\" data-favorite-icon=\"icon icon-wpcalc-dice\">\n    <span class=\"icon icon-shape-star-empty\" aria-hidden=\"true\"><\/span>\n  <\/button>\n  <div class=\"calcdash-favorite__tip\" aria-hidden=\"true\">\n   <span class=\"favorite-tooltip\" id=\"favorite-tooltip\"><\/span>\n  <\/div>\n  <span class=\"sr-only\" role=\"status\" id=\"favorite-status\"><\/span>\n<\/div><\/div><form action=\"https:\/\/wpcalc.com\/tr\/istatistik\/roc-auc-hesaplayici\/\" method=\"POST\" class=\"calculator\" id=\"calculator-4081\" data-post=\"4081\"><fieldset class=\"fieldset-input is-1\"><legend class=\"sr-only\">Giri\u015f alanlar\u0131<\/legend><div class=\"field\" id=\"input-1\"><label for=\"field-1\">Ger\u00e7ek s\u0131n\u0131f etiketleri (0 veya 1)<\/label><textarea id=\"field-1\" name=\"gerek_snf_etiketleri_0_veya_1\">1; 1; 0; 1; 0; 0; 1; 0; 1; 0<\/textarea><\/div><div class=\"field\" id=\"input-2\"><label for=\"field-2\">Tahmin puanlar\u0131<\/label><textarea id=\"field-2\" name=\"tahmin_puanlar\">0.9; 0.8; 0.7; 0.85; 0.3; 0.2; 0.6; 0.4; 0.75; 0.1<\/textarea><\/div><div class=\"field has-term\" id=\"input-3\"><label for=\"field-3\">Kar\u0131\u015f\u0131kl\u0131k matrisi i\u00e7in e\u015fik de\u011feri<\/label><div class=\"term\">t<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"number\" name=\"karklk_matrisi_iin_eik_deeri\" id=\"field-3\" aria-describedby=\"calc-info-3\" placeholder=\"e.g. 0.5\" step=\"any\" value=\"0.5\"\/><small id=\"calc-info-3\">Bir \u00f6rnek, puan\u0131 bu e\u015fik de\u011ferine e\u015fit veya \u00fczerindeyse pozitif tahmin edilir. AUC&#039;yi etkilemez.<\/small><\/div><\/fieldset><div class=\"buttons\"><button type=\"submit\" data-text=\"Yeniden hesapla\" id=\"calculate-button\" data-post=\"4081\">Hesapla<\/button><button type=\"reset\">S\u0131f\u0131rla<\/button><\/div><div class=\"field is-checkbox hidden!\" id=\"field-auto-calc\"><input type=\"checkbox\" id=\"auto-calc\"><label for=\"auto-calc\">Otomatik hesapla<\/label><small>Etkinle\u015ftirilirse, herhangi bir de\u011feri de\u011fi\u015ftirdi\u011finizde sonu\u00e7 otomatik olarak g\u00fcncellenir.<\/small><\/div><div class=\"fieldset-result is-hidden\" aria-labelledby=\"result-title\" aria-live=\"polite\" role=\"region\"> <h3 class=\"result-title bg-gradient-to-r from-primary-50 to-gray-50 dark:from-primary-900 dark:to-gray-800\" id=\"result-title\"><span class=\"icon icon-s-pulse\" aria-hidden=\"true\"><\/span> ROC analiz sonu\u00e7lar\u0131<\/h3><div class=\"result-box\"><div class=\"field-result\" id=\"output-1\"><span class=\"field-title\"><span>ROC e\u011frisinin alt\u0131ndaki alan<\/span><span class=\"result-term\">AUC<\/span><\/span><span class=\"field-value\" id=\"result-1\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Sonucu kopyala\" aria-label=\"Sonucu kopyala\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result\" id=\"output-2\"><span class=\"field-title\"><span>Gini katsay\u0131s\u0131 (2\u00b7AUC \u2212 1)<\/span><span class=\"result-term\">G<\/span><\/span><span class=\"field-value\" id=\"result-2\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Sonucu kopyala\" aria-label=\"Sonucu kopyala\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result\" id=\"output-3\"><span class=\"field-title\"><span>En iyi e\u015fik de\u011feri (Youden J)<\/span><\/span><span class=\"field-value\" id=\"result-3\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Sonucu kopyala\" aria-label=\"Sonucu kopyala\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result is-column\" id=\"output-4\"><span class=\"field-title\"><span>Se\u00e7ilen e\u015fikteki kar\u0131\u015f\u0131kl\u0131k matrisi<\/span><\/span><span class=\"field-value\" id=\"result-4\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Sonucu kopyala\" aria-label=\"Sonucu kopyala\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result is-column\" id=\"output-5\"><span class=\"field-title\"><span>ROC e\u011frisi noktalar\u0131<\/span><\/span><span class=\"field-value\" id=\"result-5\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Sonucu kopyala\" aria-label=\"Sonucu kopyala\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result is-column\" id=\"output-6\"><span class=\"field-title\"><span>Sonu\u00e7lar nas\u0131l yorumlan\u0131r<\/span><\/span><span class=\"field-value\" id=\"result-6\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Sonucu kopyala\" aria-label=\"Sonucu kopyala\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><\/div><div class=\"result-actions\"><button type=\"button\" class=\"copy-link\"><svg viewBox=\"0 0 20 20\" fill=\"currentColor\" aria-hidden=\"true\"><path d=\"M12.232 4.232a2.5 2.5 0 0 1 3.536 3.536l-1.225 1.224a.75.75 0 0 0 1.061 1.06l1.224-1.224a4 4 0 0 0-5.656-5.656l-3 3a4 4 0 0 0 .225 5.865.75.75 0 0 0 .977-1.138 2.5 2.5 0 0 1-.142-3.667l3-3Z\"\/><path d=\"M11.603 7.963a.75.75 0 0 0-.977 1.138 2.5 2.5 0 0 1 .142 3.667l-3 3a2.5 2.5 0 0 1-3.536-3.536l1.225-1.224a.75.75 0 0 0-1.061-1.06l-1.224 1.224a4 4 0 1 0 5.656 5.656l3-3a4 4 0 0 0-.225-5.865Z\"\/><\/svg><span class=\"copy-link__text\">Bu hesaplaman\u0131n ba\u011flant\u0131s\u0131n\u0131 kopyala<\/span><\/button><span class=\"sr-only\" role=\"status\" id=\"copy-link-status\"><\/span><\/div><\/div><a href=\"#respond\" class=\"hidden transition-opacity duration-300 opacity-0 w-50 text-sm justify-center items-center gap-2 px-4 py-2 rounded bg-gray-200 text-gray-700 hover:bg-gray-300\" id=\"leave-comment\"><span class=\"icon icon-comments\" aria-hidden=\"true\"><\/span>Yorum b\u0131rak<\/a><\/form><\/section><section id=\"calc-reactions\" class=\"not-prose hidden my-12 bg-gradient-to-r from-primary-50 to-gray-50 border border-indigo-100 rounded-xl px-6 py-4 shadow-sm\" data-post=\"4081\" aria-live=\"polite\" aria-labelledby=\"calc-reactions-title\"><p id=\"calc-reactions-title\" class=\"text-sm text-gray-500 text-center mb-2\">Bu sonu\u00e7 hakk\u0131nda ne d\u00fc\u015f\u00fcn\u00fcyorsunuz?<\/p><div role=\"group\" aria-labelledby=\"calc-reactions-title\" class=\"grid grid-cols-3 sm:flex sm:flex-row sm:justify-around gap-4 sm:items-center sm:flex-wrap\"><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"like\"><span class=\"reaction-count\" data-reaction-count=\"like\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\ude00 <\/span><span class=\"reaction-description font-medium\">Be\u011fendim <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"helpful\"><span class=\"reaction-count\" data-reaction-count=\"helpful\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\udca1 <\/span><span class=\"reaction-description font-medium\">Faydal\u0131 <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"confused\"><span class=\"reaction-count\" data-reaction-count=\"confused\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\ude15 <\/span><span class=\"reaction-description font-medium\">Kafam kar\u0131\u015ft\u0131 <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"disappointed\"><span class=\"reaction-count\" data-reaction-count=\"disappointed\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\ude1e <\/span><span class=\"reaction-description font-medium\">Hayal k\u0131r\u0131kl\u0131\u011f\u0131 <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"inaccurate\"><span class=\"reaction-count\" data-reaction-count=\"inaccurate\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\u274c <\/span><span class=\"reaction-description font-medium\">Hatal\u0131 <\/span><\/button><\/div><div id=\"reaction-message\" class=\"hidden mt-8 rounded-md border border-primary-100 bg-white\/50 backdrop-blur-sm px-4 py-2 text-sm text-center shadow-sm\"><\/div><\/section><div class=\"calcdash-ad not-prose calcdash-ad--calc_result calcdash-ad--in-article\"><ins class=\"adsbygoogle\" style=\"display:block\" data-ad-client=\"ca-pub-1721569815777345\" data-ad-slot=\"6317458308\" data-ad-layout=\"in-article\" data-ad-format=\"fluid\"><\/ins><script>(adsbygoogle = window.adsbygoogle || []).push({});<\/script><\/div>\n<style id=\"wpcoderpro-inline-1\">.formula-box {\r\n\tborder-bottom: none !important;\r\n}<\/style><section class=\"formula-box\" aria-labelledby=\"formula-title\">\r\n\t<div id=\"formula-title\" class=\"not-prose font-display mb-4\"><span class=\"icon icon-formula\" aria-hidden=\"true\"><\/span><h2>ROC AUC Form\u00fcl\u00fc<\/h2><\/div>\r\n\t<figure class=\"not-prose formula\">\r\n\t\t<figcaption class=\"formula-title\">Form\u00fcl<\/figcaption>\r\n\t\t<div class=\"text-base text-gray-800\" id=\"formula\">\n\\[ \\text{AUC} = \\frac{\\#\\{s_+ &gt; s_- \\text{ olan \u00e7iftler}\\} + \\tfrac{1}{2}\\,\\#\\{s_+ = s_- \\text{ olan \u00e7iftler}\\}}{P \\cdot N} \\]\n\\[ G = 2\\,\\text{AUC} - 1, \\qquad J = \\text{duyarl\u0131l\u0131k} + \\text{\u00f6zg\u00fcll\u00fck} - 1 = \\text{TPR} - \\text{FPR} \\]\n<\/div>\r\n\t<\/figure>\r\n\t<\/p>\n<p><strong>Buradaki g\u00f6sterimler:<\/strong><\/p>\n<ul>\n<li>\\(P\\) \u2014 pozitif (etiketi 1) vakalar\u0131n say\u0131s\u0131<\/li>\n<li>\\(N\\) \u2014 negatif (etiketi 0) vakalar\u0131n say\u0131s\u0131<\/li>\n<li>\\(s_+\\) \u2014 pozitif bir vakan\u0131n puan\u0131; \\(s_-\\) \u2014 negatif bir vakan\u0131n puan\u0131<\/li>\n<li>\\(G\\) \u2014 Gini katsay\u0131s\u0131 (Somers D), AUC'nin yeniden \u00f6l\u00e7eklenmi\u015f hali<\/li>\n<li>\\(J\\) \u2014 Youden J istatisti\u011fi, en iyi e\u015fik de\u011ferini bulmak i\u00e7in kullan\u0131l\u0131r<\/li>\n<\/ul>\n<p>AUC, rastgele se\u00e7ilen bir pozitif vakan\u0131n, rastgele se\u00e7ilen bir negatif vakadan daha y\u00fcksek puan alma olas\u0131l\u0131\u011f\u0131d\u0131r (berabere kalan \u00e7iftler yar\u0131m ba\u015far\u0131 say\u0131l\u0131r). ROC e\u011frisinin alt\u0131ndaki yamuk alana ve Mann\u2013Whitney U istatisti\u011finin \\(P \\cdot N\\) de\u011ferine b\u00f6l\u00fcnmesine e\u015fittir.<\/p>\n<p>\r\n<\/section>\n<style id=\"wpcoderpro-inline-2\">.calculation-box {\r\n\tborder-bottom: none !important;\r\n}<\/style><section id=\"calculation\" class=\"calculation-box\" aria-labelledby=\"calculation-title\">\r\n\t<div id=\"calculation-title\" class=\"not-prose font-display\"><span class=\"icon icon-unordered-list\" aria-hidden=\"true\"><\/span><h2>ROC AUC \u2013 \u00d6rnek Hesaplama<\/h2><\/div>\r\n\r\n<\/p>\n<p><strong>\u00d6rnek:<\/strong> 10 vaka, 5 pozitif ve 5 negatif, varsay\u0131lan puanlarla. Pozitif puanlar\u0131 0,9; 0,85; 0,8; 0,75 ve 0,6; negatif puanlar\u0131 ise 0,7; 0,4; 0,3; 0,2 ve 0,1'dir.<\/p>\n<p>Toplam \\(P \\cdot N = 25\\) pozitif\u2013negatif \u00e7ift vard\u0131r. Bunlar\u0131n 24'\u00fcnde pozitif vaka daha y\u00fcksek puan al\u0131r; yanl\u0131\u015f s\u0131ralanan tek \u00e7ift (0,6; 0,7)'dir. Berabere \u00e7ift olmad\u0131\u011f\u0131ndan:<\/p>\n<p>\\[ \\text{AUC} = \\frac{24 + \\tfrac{1}{2}\\cdot 0}{5 \\times 5} = 0.96 \\]<\/p>\n<p><strong>Sonu\u00e7:<\/strong> AUC = 0,96, Gini katsay\u0131s\u0131 \\(2 \\times 0.96 - 1 = 0.92\\). Youden J'ye g\u00f6re en iyi e\u015fik de\u011feri <strong>puan \u2265 0,6<\/strong> olarak bulunur (duyarl\u0131l\u0131k %100, \u00f6zg\u00fcll\u00fck %80, \\(J = 0.8\\)). Varsay\u0131lan 0,5 e\u015fi\u011finde kar\u0131\u015f\u0131kl\u0131k matrisi TP = 5, FP = 1, FN = 0, TN = 4't\u00fcr (do\u011fruluk %90).<\/p>\n<p>\n\r\n<\/section>\n<h2>Hesaplay\u0131c\u0131 nas\u0131l kullan\u0131l\u0131r?<\/h2>\n<ol>\n<li><strong>Ger\u00e7ek s\u0131n\u0131f etiketlerini (0 veya 1)<\/strong> ilk alana yap\u0131\u015ft\u0131r\u0131n \u2014 her vaka i\u00e7in bir etiket; bo\u015fluk, sat\u0131r sonu veya noktal\u0131 virg\u00fclle ay\u0131r\u0131n. Pozitif s\u0131n\u0131f i\u00e7in 1, negatif s\u0131n\u0131f i\u00e7in 0 kullan\u0131n.<\/li>\n<li><strong>Tahmin puanlar\u0131n\u0131<\/strong> ikinci alana, etiketlerle ayn\u0131 s\u0131rayla yap\u0131\u015ft\u0131r\u0131n. Herhangi bir say\u0131sal \u00f6l\u00e7ek uygundur (olas\u0131l\u0131klar, model \u00e7\u0131kt\u0131lar\u0131, puanlamalar); ondal\u0131k virg\u00fcl g\u00f6sterimi kabul edilir.<\/li>\n<li>\u0130sterseniz <strong>kar\u0131\u015f\u0131kl\u0131k matrisi i\u00e7in e\u015fik de\u011ferini<\/strong> de\u011fi\u015ftirin (varsay\u0131lan 0,5). Bir vakan\u0131n puan\u0131 bu de\u011fere e\u015fit ya da \u00fczerindeyse pozitif \u00f6ng\u00f6r\u00fcl\u00fcr. E\u015fik de\u011feri AUC'yi etkilemez.<\/li>\n<li>Sonu\u00e7lar\u0131 okuyun: <strong>ROC e\u011frisi alt\u0131ndaki alan<\/strong>, <strong>Gini katsay\u0131s\u0131<\/strong>, <strong>en iyi e\u015fik de\u011feri (Youden J)<\/strong>, se\u00e7ti\u011finiz e\u015fikteki kar\u0131\u015f\u0131kl\u0131k matrisi ve grafi\u011fe d\u00f6kebilece\u011finiz ROC e\u011frisi noktalar\u0131 tablosu.<\/li>\n<\/ol>\n<p>\u0130ki listenin uzunlu\u011fu ayn\u0131 olmal\u0131 ve veride en az bir pozitif ile bir negatif vaka bulunmal\u0131d\u0131r; aksi h\u00e2lde hi\u00e7bir s\u0131ralama de\u011ferlendirilemez.<\/p>\n<h2>ROC AUC nedir?<\/h2>\n<p>ROC e\u011frisi (Receiver Operating Characteristic), bir ikili s\u0131n\u0131fland\u0131r\u0131c\u0131n\u0131n olas\u0131 her e\u015fik de\u011ferindeki performans\u0131n\u0131 g\u00f6sterir. E\u011fri \u00fczerindeki her nokta, puan\u0131 belirli bir e\u015fi\u011fin \u00fczerinde ya da e\u015fit olan t\u00fcm vakalar pozitif say\u0131larak elde edilen (yanl\u0131\u015f pozitif oran\u0131, do\u011fru pozitif oran\u0131) \u00e7iftidir. E\u015fik de\u011feri y\u00fcksekten d\u00fc\u015f\u00fc\u011fe do\u011fru s\u00fcp\u00fcr\u00fcld\u00fck\u00e7e e\u011fri; ba\u015flang\u0131\u00e7 noktas\u0131ndan (hi\u00e7bir vaka pozitif \u00f6ng\u00f6r\u00fclmez) sa\u011f \u00fcst k\u00f6\u015feye (her vaka pozitif \u00f6ng\u00f6r\u00fcl\u00fcr) do\u011fru \u00e7izilir.<\/p>\n<p>AUC \u2014 bu e\u011frinin alt\u0131ndaki alan \u2014 t\u00fcm e\u011friyi tek bir say\u0131da \u00f6zetler. Do\u011frudan olas\u0131l\u0131ksal bir anlam\u0131 vard\u0131r: rastgele se\u00e7ilen bir pozitif vakan\u0131n, rastgele se\u00e7ilen bir negatif vakadan daha y\u00fcksek puan alma \u015fans\u0131. Kusursuz bir s\u0131ralama AUC = 1 verir; i\u015fe yaramayan (rastgele) bir s\u0131ralama AUC = 0,5 verir; tutarl\u0131 bi\u00e7imde ters kurulan bir s\u0131ralama ise AUC &lt; 0,5 verir; bu durumda puanlar\u0131n\u0131z\u0131n y\u00f6n\u00fcn\u00fc ters \u00e7evirmeniz gerekir.<\/p>\n<p>Kaba bir yol g\u00f6sterici: 0,9\u20131 m\u00fckemmel, 0,8\u20130,9 iyi, 0,7\u20130,8 orta, 0,6\u20130,7 zay\u0131f, 0,5 \u015fans d\u00fczeyiyle ayn\u0131d\u0131r. Gini katsay\u0131s\u0131 \\(2\\cdot\\text{AUC}-1\\) bunu, 0'\u0131n \u015fans\u0131 ve 1'in kusursuzlu\u011fu g\u00f6sterece\u011fi bi\u00e7imde yeniden \u00f6l\u00e7ekler; kredi skorlamas\u0131nda yayg\u0131n kullan\u0131l\u0131r ve orada Somers D olarak da adland\u0131r\u0131l\u0131r.<\/p>\n<p>Do\u011fruluk (accuracy) veya kesinlikten (precision) farkl\u0131 olarak AUC <em>e\u015fikten ba\u011f\u0131ms\u0131zd\u0131r<\/em>: puanlar\u0131n vakalar\u0131 ne kadar iyi <em>s\u0131ralad\u0131\u011f\u0131n\u0131<\/em>, daha sonra hangi e\u015fi\u011fi se\u00e7ece\u011finizden ba\u011f\u0131ms\u0131z \u00f6l\u00e7er. Bu \u00f6zelli\u011fi onu puanlama modellerini kar\u015f\u0131la\u015ft\u0131rmak i\u00e7in do\u011fal bir metrik yapar; ama ayn\u0131 zamanda kalibrasyon hakk\u0131nda hi\u00e7bir \u015fey s\u00f6ylemedi\u011fi anlam\u0131na gelir \u2014 0,8'lik bir puan\u0131n %80 olas\u0131l\u0131\u011fa kar\u015f\u0131l\u0131k gelmesi gerekmez. Belirli bir e\u015fikte kar\u0131\u015f\u0131kl\u0131k matrisi metriklerine ihtiyac\u0131n\u0131z varsa bu arac\u0131 <a href=\"https:\/\/wpcalc.com\/tr\/istatistik\/karisiklik-matrisi-hesaplama\/\">Kar\u0131\u015f\u0131kl\u0131k Matrisi hesaplay\u0131c\u0131s\u0131yla<\/a> birlikte kullan\u0131n.<\/p>\n<h2>E\u015fik de\u011feri se\u00e7imi<\/h2>\n<p>Hesaplay\u0131c\u0131, Youden J istatisti\u011fini \\(J = \\text{duyarl\u0131l\u0131k} + \\text{\u00f6zg\u00fcll\u00fck} - 1\\) en \u00fcst d\u00fczeye \u00e7\u0131karan e\u015fik de\u011ferini bildirir \u2014 ROC e\u011frisi \u00fczerindeki k\u00f6\u015fegene en uzak nokta. Bu makul bir varsay\u0131lan se\u00e7imdir ama her zaman uygulamada en iyisi olmayabilir. T\u0131bbi taramalarda y\u00fcksek duyarl\u0131l\u0131k isteyip daha fazla yanl\u0131\u015f pozitifi kabul edebilirsiniz; do\u011frulay\u0131c\u0131 bir testte ya da maliyetli incelemeler gerektiren doland\u0131r\u0131c\u0131l\u0131k tespitinde \u00f6zg\u00fcll\u00fck daha a\u011f\u0131r basabilir. Duyarl\u0131l\u0131k\/\u00f6zg\u00fcll\u00fck dengesini her farkl\u0131 puan d\u00fczeyinde g\u00f6rmek i\u00e7in ROC noktalar\u0131 tablosunu kullan\u0131n ve maliyetlerinize uyan e\u015fi\u011fi se\u00e7in.<\/p>\n<p>AUC bir s\u0131ralama \u00f6l\u00e7\u00fcs\u00fc oldu\u011fundan di\u011fer s\u0131ra istatistikleriyle yak\u0131ndan ili\u015fkilidir. S\u0131ralama uyumunu daha genel olarak inceliyorsan\u0131z <a href=\"https:\/\/wpcalc.com\/tr\/istatistik\/kendall-tau-hesaplayici\/\">Kendall Tau hesaplay\u0131c\u0131s\u0131<\/a>, iki de\u011fi\u015fken aras\u0131ndaki uyumlu ve uyumsuz \u00e7iftleri hesaplar.<\/p>\n<h2>Varsay\u0131mlar, s\u0131n\u0131rl\u0131l\u0131klar ve ipu\u00e7lar\u0131<\/h2>\n<ul>\n<li><strong>Yaln\u0131zca ikili sonu\u00e7lar.<\/strong> Etiketler tam olarak 0 veya 1 olmal\u0131d\u0131r. \u00c7ok s\u0131n\u0131fl\u0131 sorunlarda s\u0131n\u0131f ba\u015f\u0131na bir AUC hesaplay\u0131n (bire kar\u015f\u0131 di\u011ferleri y\u00f6ntemi).<\/li>\n<li><strong>Ba\u011f\u0131ms\u0131zl\u0131k.<\/strong> Her vaka bir etiket ve bir puan i\u00e7erir; vakalar\u0131n ba\u011f\u0131ms\u0131z oldu\u011fu varsay\u0131l\u0131r. Ayn\u0131 denekten al\u0131nan yinelenen \u00f6l\u00e7\u00fcmler bu varsay\u0131m\u0131 ihlal eder.<\/li>\n<li><strong>Berabere durumlar\u0131<\/strong>, her berabere pozitif\u2013negatif \u00e7iftin yar\u0131m ba\u015far\u0131 say\u0131lmas\u0131yla ele al\u0131n\u0131r; bu, yamuk y\u00f6ntemli AUC ve Mann\u2013Whitney U kural\u0131yla uyumludur.<\/li>\n<li><strong>K\u00fc\u00e7\u00fck \u00f6rneklem.<\/strong> Vaka say\u0131s\u0131 azken AUC'nin g\u00fcven aral\u0131\u011f\u0131 geni\u015ftir; yan\u0131na bir Hanley\u2013McNeil ya da DeLong aral\u0131\u011f\u0131 eklemeye de\u011fer. Varsay\u0131lan 10 vakal\u0131 \u00f6rnek yaln\u0131zca g\u00f6sterim ama\u00e7l\u0131d\u0131r.<\/li>\n<li><strong>S\u0131n\u0131f dengesizli\u011fi.<\/strong> AUC, pozitif\/negatif kar\u0131\u015f\u0131m\u0131ndan etkilenmez; bu bir avantaj olabilece\u011fi gibi k\u00f6r bir nokta da olabilir \u2014 bir model, bir\u00e7ok ger\u00e7ek pozitifi g\u00f6zden ka\u00e7\u0131r\u0131rken bile y\u00fcksek AUC'ye sahip olabilir. Pratik etkiyi g\u00f6rmek i\u00e7in kar\u0131\u015f\u0131kl\u0131k matrisini ve <a href=\"https:\/\/wpcalc.com\/tr\/istatistik\/odds-orani-goreli-risk-hesaplayici\/\">olas\u0131l\u0131k oran\u0131<\/a> gibi metrikleri denetleyin.<\/li>\n<li><strong>AUC &lt; 0,5<\/strong>, puanlar\u0131n\u0131z\u0131n ters kurulu oldu\u011fu anlam\u0131na gelir: ya \"puan \u2264 e\u015fik\" mant\u0131\u011f\u0131n\u0131 kullan\u0131n ya da etiketleri birbirinin yerine koyun.<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>S\u0131n\u0131f etiketlerini (0\/1) ve tahmin puanlar\u0131n\u0131 girin; ROC AUC, Gini katsay\u0131s\u0131, Youden J'ye g\u00f6re en iyi e\u015fik de\u011feri, kar\u0131\u015f\u0131kl\u0131k matrisi ve ROC e\u011frisinin t\u00fcm noktalar\u0131 hesaplan\u0131r.<\/p>\n","protected":false},"author":3168,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[12],"tags":[64],"class_list":["post-4081","post","type-post","status-publish","format-standard","hentry","category-istatistik","tag-olasilik"],"acf":[],"_links":{"self":[{"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/posts\/4081","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/users\/3168"}],"replies":[{"embeddable":true,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/comments?post=4081"}],"version-history":[{"count":0,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/posts\/4081\/revisions"}],"wp:attachment":[{"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/media?parent=4081"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/categories?post=4081"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/tags?post=4081"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}