{"id":3951,"date":"2026-10-14T18:15:43","date_gmt":"2026-10-14T17:15:43","guid":{"rendered":"https:\/\/wpcalc.com\/tr\/istatistik\/karisiklik-matrisi-hesaplama\/"},"modified":"2026-10-14T18:15:43","modified_gmt":"2026-10-14T17:15:43","slug":"karisiklik-matrisi-hesaplama","status":"publish","type":"post","link":"https:\/\/wpcalc.com\/tr\/istatistik\/karisiklik-matrisi-hesaplama\/","title":{"rendered":"Kar\u0131\u015f\u0131kl\u0131k matrisi hesaplama"},"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\">Kar\u0131\u015f\u0131kl\u0131k matrisinden do\u011fruluk, kesinlik, duyarl\u0131l\u0131k ve F1 skoru<\/h2><\/div><div class=\"calcdash-favorite group\">\n  <button type=\"button\" class=\"favorite\" id=\"favorite\" data-favorite-id=\"3951\" data-favorite-title=\"Kar\u0131\u015f\u0131kl\u0131k matrisi\" data-favorite-url=\"https:\/\/wpcalc.com\/tr\/istatistik\/karisiklik-matrisi-hesaplama\/\" data-favorite-excerpt=\"Kar\u0131\u015f\u0131kl\u0131k matrisinin d\u00f6rt say\u0131s\u0131n\u0131 (TP, FP, FN, TN) girin; do\u011fruluk, kesinlik, duyarl\u0131l\u0131k, \u00f6zg\u00fcll\u00fck ve F1 skorunu oran ya da y\u00fczde olarak an\u0131nda \u00f6\u011frenin.\" aria-label=\"Favorilere ekle\" data-favorite-icon=\"icon icon-wpcalc-bell-curve\">\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\/karisiklik-matrisi-hesaplama\/\" method=\"POST\" class=\"calculator\" id=\"calculator-3951\" data-post=\"3951\"><fieldset class=\"fieldset-input is-1\"><legend class=\"sr-only\">Giri\u015f alanlar\u0131<\/legend><div class=\"is-single field\" id=\"input-1\"><span class=\"font-semibold\">Kar\u0131\u015f\u0131kl\u0131k matrisi say\u0131lar\u0131<\/span><\/div><div class=\"field has-term\" id=\"input-2\"><label for=\"field-2\">Do\u011fru pozitifler<\/label><div class=\"term\">TP<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"text\" name=\"doru_pozitifler\" id=\"field-2\" aria-describedby=\"calc-info-2\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" placeholder=\"e.g. 45\" min=\"0\" value=\"45\"\/><small id=\"calc-info-2\">Do\u011fru \u015fekilde pozitif olarak s\u0131n\u0131fland\u0131r\u0131lan pozitif vakalar.<\/small><\/div><div class=\"field has-term\" id=\"input-3\"><label for=\"field-3\">Yanl\u0131\u015f pozitifler<\/label><div class=\"term\">FP<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"text\" name=\"yanl_pozitifler\" id=\"field-3\" aria-describedby=\"calc-info-3\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" placeholder=\"e.g. 10\" min=\"0\" value=\"10\"\/><small id=\"calc-info-3\">Yanl\u0131\u015fl\u0131kla pozitif olarak s\u0131n\u0131fland\u0131r\u0131lan negatif vakalar (I. tip hatalar).<\/small><\/div><div class=\"field has-term\" id=\"input-4\"><label for=\"field-4\">Yanl\u0131\u015f negatifler<\/label><div class=\"term\">FN<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"text\" name=\"yanl_negatifler\" id=\"field-4\" aria-describedby=\"calc-info-4\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" placeholder=\"e.g. 15\" min=\"0\" value=\"15\"\/><small id=\"calc-info-4\">Yanl\u0131\u015fl\u0131kla negatif olarak s\u0131n\u0131fland\u0131r\u0131lan pozitif vakalar (II. tip hatalar).<\/small><\/div><div class=\"field has-term\" id=\"input-5\"><label for=\"field-5\">Do\u011fru negatifler<\/label><div class=\"term\">TN<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"text\" name=\"doru_negatifler\" id=\"field-5\" aria-describedby=\"calc-info-5\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" placeholder=\"e.g. 80\" min=\"0\" value=\"80\"\/><small id=\"calc-info-5\">Do\u011fru \u015fekilde negatif olarak s\u0131n\u0131fland\u0131r\u0131lan negatif vakalar.<\/small><\/div><div class=\"is-single field\" id=\"input-6\"><span class=\"font-semibold\">\u00c7\u0131kt\u0131 se\u00e7enekleri<\/span><\/div><div class=\"field\" id=\"input-7\"><label for=\"field-7\">Metriklerin g\u00f6sterimi<\/label><div class=\"grid grid-cols-1\"><select id=\"field-7\" name=\"metriklerin_gsterimi\"><option value=\"prop\">Oranlar (0\u20131)<\/option><option value=\"pct\" selected>Y\u00fczde (%0\u2013100)<\/option><\/select><svg class=\"pointer-events-none col-start-1 row-start-1 mr-2 size-5 self-center justify-self-end text-gray-500 sm:size-4\" viewBox=\"0 0 16 16\" fill=\"currentColor\" aria-hidden=\"true\" data-slot=\"icon\">\n              <path fill-rule=\"evenodd\" d=\"M4.22 6.22a.75.75 0 0 1 1.06 0L8 8.94l2.72-2.72a.75.75 0 1 1 1.06 1.06l-3.25 3.25a.75.75 0 0 1-1.06 0L4.22 7.28a.75.75 0 0 1 0-1.06Z\" clip-rule=\"evenodd\" \/>\n            <\/svg><\/div><\/div><\/fieldset><div class=\"buttons\"><button type=\"submit\" data-text=\"Yeniden hesapla\" id=\"calculate-button\" data-post=\"3951\">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> S\u0131n\u0131fland\u0131rma performans metrikleri<\/h3><div class=\"result-box\"><div class=\"field-result\" id=\"output-1\"><span class=\"field-title\"><span>Toplam tahmin<\/span><span class=\"result-term\">n<\/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>Do\u011fruluk<\/span><span class=\"result-term\">ACC<\/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>Kesinlik (pozitif \u00f6ng\u00f6r\u00fc de\u011feri)<\/span><span class=\"result-term\">PPV<\/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\" id=\"output-4\"><span class=\"field-title\"><span>Duyarl\u0131l\u0131k (hassasiyet, ger\u00e7ek pozitif oran\u0131)<\/span><span class=\"result-term\">TPR<\/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\" id=\"output-5\"><span class=\"field-title\"><span>\u00d6zg\u00fcll\u00fck (ger\u00e7ek negatif oran\u0131)<\/span><span class=\"result-term\">TNR<\/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\" id=\"output-6\"><span class=\"field-title\"><span>F1 skoru<\/span><span class=\"result-term\">F\u2081<\/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 class=\"field-result is-column\" id=\"output-7\"><span class=\"field-title\"><span>Metrikler nas\u0131l hesaplan\u0131r ve nas\u0131l yorumlan\u0131r<\/span><\/span><span class=\"field-value\" id=\"result-7\"><\/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=\"3951\" 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>Kar\u0131\u015f\u0131kl\u0131k matrisi<\/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\\[ n = TP + FP + FN + TN \\\\ \\text{Do\u011fruluk} = \\frac{TP + TN}{n} \\\\ \\text{Kesinlik} = \\frac{TP}{TP + FP} \\\\ \\text{Duyarl\u0131l\u0131k} = \\frac{TP}{TP + FN} \\\\ \\text{\u00d6zg\u00fcll\u00fck} = \\frac{TN}{TN + FP} \\\\ F_1 = \\frac{2TP}{2TP + FP + FN} = \\frac{2 \\cdot \\text{Kesinlik} \\cdot \\text{Duyarl\u0131l\u0131k}}{\\text{Kesinlik} + \\text{Duyarl\u0131l\u0131k}} \\]\n<\/div>\r\n\t<\/figure>\r\n\t<\/p>\n<p><strong>Burada:<\/strong><\/p>\n<ul>\n<li>\\(TP\\) \u2014 do\u011fru pozitifler: ger\u00e7ekten pozitif olup do\u011fru bi\u00e7imde pozitif olarak s\u0131n\u0131fland\u0131r\u0131lan vakalar<\/li>\n<li>\\(FP\\) \u2014 yanl\u0131\u015f pozitifler: ger\u00e7ekte negatif olup yanl\u0131\u015fl\u0131kla pozitif olarak s\u0131n\u0131fland\u0131r\u0131lan vakalar (I. tip hata)<\/li>\n<li>\\(FN\\) \u2014 yanl\u0131\u015f negatifler: ger\u00e7ekte pozitif olup yanl\u0131\u015fl\u0131kla negatif olarak s\u0131n\u0131fland\u0131r\u0131lan vakalar (II. tip hata)<\/li>\n<li>\\(TN\\) \u2014 do\u011fru negatifler: ger\u00e7ekten negatif olup do\u011fru bi\u00e7imde negatif olarak s\u0131n\u0131fland\u0131r\u0131lan vakalar<\/li>\n<li>\\(n\\) \u2014 s\u0131n\u0131fland\u0131r\u0131lan toplam vaka say\u0131s\u0131<\/li>\n<\/ul>\n<p>Bu be\u015f \u00f6l\u00e7\u00fct\u00fcn t\u00fcm\u00fc 0 (en k\u00f6t\u00fc) ile 1 (kusursuz) aras\u0131nda de\u011fi\u015fir ve ikili bir s\u0131n\u0131fland\u0131r\u0131c\u0131n\u0131n ba\u015far\u0131m\u0131n\u0131n farkl\u0131 y\u00f6nlerini \u00f6zetler. Payda s\u0131f\u0131r oldu\u011funda ilgili \u00f6l\u00e7\u00fct tan\u0131ms\u0131zd\u0131r ve hesaplay\u0131c\u0131 \"\u2014\" g\u00f6sterir.<\/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>Kar\u0131\u015f\u0131kl\u0131k matrisi \u2013 hesaplama \u00f6rne\u011fi<\/h2><\/div>\r\n\r\n<\/p>\n<p><strong>\u00d6rnek:<\/strong> bir model 150 vakay\u0131 tarad\u0131. 45 pozitif vakay\u0131 do\u011fru olarak i\u015faretledi (TP), 15'ini ka\u00e7\u0131rd\u0131 (FN); 80 negatif vakay\u0131 do\u011fru ge\u00e7ti (TN) ve 10 yanl\u0131\u015f alarm verdi (FP).<\/p>\n<p>\\[ n = 45 + 10 + 15 + 80 = 150 \\]<\/p>\n<p>\\[ \\text{Do\u011fruluk} = \\frac{45 + 80}{150} = 0.8333 \\quad (83.33\\%) \\]<\/p>\n<p>\\[ \\text{Kesinlik} = \\frac{45}{45 + 10} = 0.8182 \\quad (81.82\\%) \\]<\/p>\n<p>\\[ \\text{Duyarl\u0131l\u0131k} = \\frac{45}{45 + 15} = 0.75 \\quad (75\\%) \\]<\/p>\n<p>\\[ \\text{\u00d6zg\u00fcll\u00fck} = \\frac{80}{80 + 10} = 0.8889 \\quad (88.89\\%) \\]<\/p>\n<p>\\[ F_1 = \\frac{2 \\times 45}{2 \\times 45 + 10 + 15} = \\frac{90}{115} = 0.7826 \\quad (78.26\\%) \\]<\/p>\n<p><strong>Sonu\u00e7:<\/strong> do\u011fruluk %83,33, kesinlik %81,82, duyarl\u0131l\u0131k %75, \u00f6zg\u00fcll\u00fck %88,89, F1 skoru %78,26 (sonu\u00e7lar\u0131n y\u00fczde olarak g\u00f6sterilmesi se\u00e7iliyken).<\/p>\n<p>\n\r\n<\/section>\n<h2>Hesaplay\u0131c\u0131 nas\u0131l kullan\u0131l\u0131r?<\/h2>\n<ol>\n<li>Kar\u0131\u015f\u0131kl\u0131k matrisinizin her h\u00fccresine ka\u00e7 vaka d\u00fc\u015ft\u00fc\u011f\u00fcn\u00fc say\u0131n ve bu de\u011ferleri <strong>Do\u011fru pozitifler<\/strong>, <strong>Yanl\u0131\u015f pozitifler<\/strong>, <strong>Yanl\u0131\u015f negatifler<\/strong> ve <strong>Do\u011fru negatifler<\/strong> alanlar\u0131na girin. D\u00f6rt de\u011ferin de \\(\\ge 0\\) olan tam say\u0131lar olmas\u0131 gerekir.<\/li>\n<li><strong>\u00d6l\u00e7\u00fct g\u00f6sterimi<\/strong> se\u00e7ene\u011fini belirleyin: ondal\u0131k de\u011ferler i\u00e7in \"Oranlar (0\u20131)\", y\u00fczde de\u011ferler i\u00e7in \"Y\u00fczdeler (%0\u2013100)\".<\/li>\n<li>Sonu\u00e7lar\u0131 okuyun: <strong>Toplam tahmin say\u0131s\u0131<\/strong>, <strong>Do\u011fruluk<\/strong>, <strong>Kesinlik (pozitif prediktif de\u011fer)<\/strong>, <strong>Duyarl\u0131l\u0131k (sensistivite, ger\u00e7ek pozitif oran\u0131)<\/strong>, <strong>\u00d6zg\u00fcll\u00fck (ger\u00e7ek negatif oran\u0131)<\/strong> ve <strong>F1 skoru<\/strong>; ard\u0131ndan \u00f6l\u00e7\u00fctlerin nas\u0131l hesapland\u0131\u011f\u0131n\u0131 ve nas\u0131l yorumlanaca\u011f\u0131n\u0131 \u00f6zetleyen bir a\u00e7\u0131klama gelir.<\/li>\n<li>Bir \u00f6l\u00e7\u00fct \"\u2014\" olarak g\u00f6r\u00fcn\u00fcyorsa paydas\u0131 s\u0131f\u0131rd\u0131r \u2014 \u00f6rne\u011fin model hi\u00e7 pozitif tahminde bulunmad\u0131ysa (\\(TP + FP = 0\\)) kesinlik tan\u0131ms\u0131zd\u0131r.<\/li>\n<\/ol>\n<h2>Kar\u0131\u015f\u0131kl\u0131k matrisi nedir?<\/h2>\n<p>Kar\u0131\u015f\u0131kl\u0131k matrisi (hata matrisi), ikili bir s\u0131n\u0131fland\u0131r\u0131c\u0131n\u0131n temel karne tablosudur. 2\u00d72'lik bu tablo, her vakan\u0131n ger\u00e7ek s\u0131n\u0131f\u0131n\u0131 (pozitif veya negatif) modelin tahmin etti\u011fi s\u0131n\u0131fla \u00e7apraz olarak kar\u015f\u0131la\u015ft\u0131r\u0131r. D\u00f6rt h\u00fccre \u2014 do\u011fru pozitifler, yanl\u0131\u015f pozitifler, yanl\u0131\u015f negatifler ve do\u011fru negatifler \u2014 olas\u0131 t\u00fcm sonu\u00e7lar\u0131 kapsar; bu y\u00fczden toplamlar\u0131 olan \\(n\\), s\u0131n\u0131fland\u0131r\u0131lan toplam vaka say\u0131s\u0131d\u0131r. Yaln\u0131zca bu d\u00f6rt say\u0131dan, s\u0131n\u0131fland\u0131rma kalitesine ili\u015fkin standart her \u00f6l\u00e7\u00fct t\u00fcretilebilir.<\/p>\n<p>Burada hesaplanan be\u015f \u00f6l\u00e7\u00fct\u00fcn her biri ba\u015fka bir soruya yan\u0131t verir. <strong>Do\u011fruluk<\/strong> sorar: genel olarak tahminlerin hangi b\u00f6l\u00fcm\u00fc do\u011fruydu? <strong>Kesinlik<\/strong> sorar: model \"pozitif\" dedi\u011finde ne kadar s\u0131k hakl\u0131d\u0131r? D\u00fc\u015f\u00fck kesinlik, \u00e7ok say\u0131da yanl\u0131\u015f alarm anlam\u0131na gelir. <strong>Duyarl\u0131l\u0131k<\/strong> (recall; sensistivite veya ger\u00e7ek pozitif oran\u0131 olarak da bilinir) sorar: ger\u00e7ekten pozitif olan vakalar\u0131n ka\u00e7\u0131n\u0131 model yakalayabildi? D\u00fc\u015f\u00fck duyarl\u0131l\u0131k, ka\u00e7\u0131r\u0131lan vakalar demektir. <strong>\u00d6zg\u00fcll\u00fck<\/strong>, negatif s\u0131n\u0131f\u0131n duyarl\u0131l\u0131\u011f\u0131d\u0131r \u2014 model ger\u00e7ek negatifleri ne kadar iyi tan\u0131yor? <strong>F1<\/strong> ise kesinlikle duyarl\u0131l\u0131\u011f\u0131n harmonik ortalamas\u0131d\u0131r ve ikisini dengeler: yaln\u0131zca her ikisi de y\u00fcksek oldu\u011funda y\u00fcksektir.<\/p>\n<p>Peki neden sadece do\u011frulukla yetinmiyoruz? \u00c7\u00fcnk\u00fc s\u0131n\u0131flar dengesiz oldu\u011funda do\u011fruluk yan\u0131lt\u0131c\u0131d\u0131r. Vakalar\u0131n yaln\u0131zca %1'i pozitifse, her \u015feyi negatif etiketleyen s\u0131radan bir model %99 do\u011fruluk elde eder ama tek bir pozitifi bile yakalayamaz. Kesinlik, duyarl\u0131l\u0131k ve F1 ise pozitif s\u0131n\u0131fa odaklan\u0131r ve bu t\u00fcr ba\u015far\u0131s\u0131zl\u0131klar\u0131 hemen ortaya \u00e7\u0131kar\u0131r. Hangi \u00f6l\u00e7\u00fct\u00fcn en \u00f6nemli oldu\u011fu, hatalar\u0131n maliyetine ba\u011fl\u0131d\u0131r: kanser taramas\u0131nda ka\u00e7\u0131r\u0131lan bir t\u00fcm\u00f6r (yanl\u0131\u015f negatif) yanl\u0131\u015f alarma g\u00f6re \u00e7ok daha k\u00f6t\u00fc bir sonu\u00e7tur, bu y\u00fczden duyarl\u0131l\u0131\u011fa \u00f6ncelik verilir; spam filtrelemede kaybedilen me\u015fru bir e-posta (yanl\u0131\u015f pozitif) daha k\u00f6t\u00fc olabilir, bu durumda kesinlik daha a\u011f\u0131r basar.<\/p>\n<p>T\u0131bbi ve epidemiyolojik ba\u011flamda ayn\u0131 say\u0131lar farkl\u0131 adlar ta\u015f\u0131r: duyarl\u0131l\u0131k orada <em>sensistivite<\/em>, kesinlik <em>pozitif prediktif de\u011fer<\/em> (PPV), ger\u00e7ek pozitiflerin oran\u0131 olan \\((TP + FN)\/n\\) ise <em>prevalans<\/em> olarak adland\u0131r\u0131l\u0131r. Bir testin sensistivitesini, \u00f6zg\u00fcll\u00fc\u011f\u00fcn\u00fc ve prevalans\u0131n\u0131 biliyorsan\u0131z, <a href=\"https:\/\/wpcalc.com\/tr\/istatistik\/bayes-teoremi-hesaplama\/\">Bayes teoremi<\/a> ile prediktif de\u011ferlere do\u011fru ileri hesaplama yapabilirsiniz.<\/p>\n<h2>Varsay\u0131mlar, s\u0131n\u0131rlamalar ve pratik \u00f6neriler<\/h2>\n<ul>\n<li>Hesaplay\u0131c\u0131, d\u00f6rt say\u0131y\u0131 tek bir s\u0131n\u0131fland\u0131rma \u00e7al\u0131\u015fmas\u0131ndan gelen kesin tam say\u0131lar olarak ele al\u0131r. Her vakan\u0131n tam olarak bir h\u00fccreye ait oldu\u011funu ve \"pozitif\" s\u0131n\u0131f\u0131n da tespit etmek istedi\u011finiz s\u0131n\u0131f oldu\u011funu varsayar.<\/li>\n<li>T\u00fcm \u00f6l\u00e7\u00fctler girilen \u00f6rneklem \u00fczerinden hesaplan\u0131r; dolay\u0131s\u0131yla bunlar \u00f6rnekleme hatas\u0131na tabi tahminlerdir. Say\u0131lar k\u00fc\u00e7\u00fckse (\u00f6rne\u011fin 30'dan az pozitif vaka varsa), \u00e7\u0131plak bir y\u00fczde yerine bir g\u00fcven aral\u0131\u011f\u0131 bildirin \u2014 oranlar i\u00e7in Wilson aral\u0131\u011f\u0131 iyi bir se\u00e7imdir.<\/li>\n<li>Paydas\u0131 s\u0131f\u0131r olan \u00f6l\u00e7\u00fctler tan\u0131ms\u0131zd\u0131r ve \"\u2014\" olarak g\u00f6sterilir: hi\u00e7 pozitif tahmin yap\u0131lmad\u0131ysa kesinlik, ger\u00e7ekte pozitif vaka yoksa duyarl\u0131l\u0131k, ger\u00e7ekte negatif vaka yoksa \u00f6zg\u00fcll\u00fck, kesinlik ve duyarl\u0131l\u0131\u011f\u0131n ikisi de s\u0131f\u0131rsa F1 tan\u0131ms\u0131zd\u0131r.<\/li>\n<li>F1, kesinli\u011fe ve duyarl\u0131l\u0131\u011fa e\u015fit a\u011f\u0131rl\u0131k verir. Uygulaman\u0131zda biri daha \u00f6nemliyse bunun yerine \\(F_\\beta\\) skorunu kullan\u0131n (\u00f6r. \\(F_2\\) duyarl\u0131l\u0131\u011f\u0131, \\(F_{0.5}\\) kesinli\u011fi \u00f6ne \u00e7\u0131kar\u0131r).<\/li>\n<li>Kar\u0131\u015f\u0131kl\u0131k matrisi, modelin <em>neden<\/em> hata yapt\u0131\u011f\u0131na ya da ayn\u0131 veri \u00fczerinde ba\u015fka bir modelle nas\u0131l kar\u015f\u0131la\u015ft\u0131r\u0131ld\u0131\u011f\u0131na dair hi\u00e7bir \u015fey s\u00f6ylemez. \u0130ki s\u0131n\u0131fland\u0131r\u0131c\u0131n\u0131n (veya iki de\u011ferlendiricinin) e\u015fle\u015ftirilmi\u015f sonu\u00e7larda anlaml\u0131 bi\u00e7imde farkl\u0131la\u015f\u0131p farkl\u0131la\u015fmad\u0131\u011f\u0131n\u0131 s\u0131namak i\u00e7in <a href=\"https:\/\/wpcalc.com\/tr\/istatistik\/mcnemar-testi-hesaplayici\/\">McNemar testini<\/a>; ba\u011f\u0131ms\u0131z oranlar i\u00e7in <a href=\"https:\/\/wpcalc.com\/en\/statistics\/two-proportion-z-test-calculator\/\">iki oran z testini<\/a> veya <a href=\"https:\/\/wpcalc.com\/tr\/istatistik\/fisher-kesin-testi-hesaplayici\/\">Fisher'\u0131n kesin testini<\/a> kullan\u0131n.<\/li>\n<li>Kar\u0131\u015f\u0131kl\u0131k matrisi kesin (ikili) kararlar gerektirir. Modeliniz olas\u0131l\u0131k \u00fcretiyorsa say\u0131lar \u2014 dolay\u0131s\u0131yla her \u00f6l\u00e7\u00fct \u2014 skorlar\u0131 etikete \u00e7evirmek i\u00e7in se\u00e7ti\u011finiz e\u015fi\u011fe ba\u011fl\u0131d\u0131r; bu y\u00fczden \u00f6l\u00e7\u00fctlerin yan\u0131nda daima e\u015fi\u011fi de bildirin.<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Kar\u0131\u015f\u0131kl\u0131k matrisinin d\u00f6rt say\u0131s\u0131n\u0131 (TP, FP, FN, TN) girin; do\u011fruluk, kesinlik, duyarl\u0131l\u0131k, \u00f6zg\u00fcll\u00fck ve F1 skorunu oran ya da y\u00fczde olarak an\u0131nda \u00f6\u011frenin.<\/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":[32],"class_list":["post-3951","post","type-post","status-publish","format-standard","hentry","category-istatistik","tag-betimsel-istatistik"],"acf":[],"_links":{"self":[{"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/posts\/3951","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=3951"}],"version-history":[{"count":0,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/posts\/3951\/revisions"}],"wp:attachment":[{"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/media?parent=3951"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/categories?post=3951"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/tags?post=3951"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}