{"id":3613,"date":"2023-07-16T13:19:31","date_gmt":"2023-07-16T13:19:31","guid":{"rendered":"https:\/\/statorials.org\/tr\/rdeki-matthews-korelasyon-katsayisi\/"},"modified":"2023-07-16T13:19:31","modified_gmt":"2023-07-16T13:19:31","slug":"rdeki-matthews-korelasyon-katsayisi","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/rdeki-matthews-korelasyon-katsayisi\/","title":{"rendered":"R&#39;de matthews korelasyon katsay\u0131s\u0131 nas\u0131l hesaplan\u0131r?"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>Matthews Korelasyon Katsay\u0131s\u0131<\/strong> (MCC), bir <a href=\"https:\/\/statorials.org\/tr\/regresyon-ve-siniflandirma\/\" target=\"_blank\" rel=\"noopener\">s\u0131n\u0131fland\u0131rma modelinin<\/a> performans\u0131n\u0131 de\u011ferlendirmek i\u00e7in kullanabilece\u011fimiz bir \u00f6l\u00e7\u00fcmd\u00fcr.<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki \u015fekilde hesaplan\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>MM<\/strong> = (TP*TN \u2013 FP*FN) \/ \u221a <span style=\"border-top: 1px solid black;\">(TP+FP)(TP+FN)(TN+FP)(TN+FN)<\/span><\/span><\/p>\n<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>TP<\/strong> : Ger\u00e7ek pozitiflerin say\u0131s\u0131<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>TN<\/strong> : Ger\u00e7ek negatiflerin say\u0131s\u0131<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>FP<\/strong> : Yanl\u0131\u015f pozitiflerin say\u0131s\u0131<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>FN<\/strong> : Yanl\u0131\u015f negatiflerin say\u0131s\u0131<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Bu \u00f6l\u00e7\u00fcm \u00f6zellikle iki s\u0131n\u0131f dengesiz oldu\u011funda, yani bir s\u0131n\u0131f\u0131n di\u011ferinden \u00e7ok daha fazla g\u00f6r\u00fcnd\u00fc\u011f\u00fc durumlarda kullan\u0131\u015fl\u0131d\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">MM&#8217;nin de\u011feri -1 ile 1 aras\u0131ndad\u0131r; burada:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>-1,<\/strong> \u00f6ng\u00f6r\u00fclen s\u0131n\u0131flar ile ger\u00e7ek s\u0131n\u0131flar aras\u0131ndaki toplam anla\u015fmazl\u0131\u011f\u0131 g\u00f6sterir<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>0<\/strong> tamamen rastgele tahminler anlam\u0131na gelir<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>1,<\/strong> tahmin edilen s\u0131n\u0131flar ile ger\u00e7ek s\u0131n\u0131flar aras\u0131ndaki tam uyumu g\u00f6sterir<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, bir spor analistinin 400 farkl\u0131 \u00fcniversite basketbol oyuncusunun NBA&#8217;e al\u0131n\u0131p al\u0131nmayaca\u011f\u0131n\u0131 tahmin etmek i\u00e7in <a href=\"https:\/\/statorials.org\/tr\/lojistik-regresyon-1\/\" target=\"_blank\" rel=\"noopener\">lojistik regresyon modeli<\/a> kulland\u0131\u011f\u0131n\u0131 varsayal\u0131m.<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki kar\u0131\u015f\u0131kl\u0131k matrisi, modelin yapt\u0131\u011f\u0131 tahminleri \u00f6zetlemektedir:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-20693 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/equilibre1.png\" alt=\"\" width=\"430\" height=\"135\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Modelin MM&#8217;sini hesaplamak i\u00e7in a\u015fa\u011f\u0131daki form\u00fcl\u00fc kullanabiliriz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>MM<\/strong> = (TP*TN \u2013 FP*FN) \/ \u221a <span style=\"border-top: 1px solid black;\">(TP+FP)(TP+FN)(TN+FP)(TN+FN)<\/span><\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>MM<\/strong> = (15*375-5*5) \/ \u221a <span style=\"border-top: 1px solid black;\">(15+5)(15+5)(375+5)(375+5)<\/span><\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>MM<\/strong> = 0,7368<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Matthews korelasyon katsay\u0131s\u0131 <strong>0,7368<\/strong> olarak \u00e7\u0131k\u0131yor.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu de\u011ferin bire yak\u0131n olmas\u0131, modelin oyuncular\u0131n draft edilip edilmeyece\u011fini tahmin etme konusunda iyi bir i\u015f \u00e7\u0131kard\u0131\u011f\u0131n\u0131 g\u00f6steriyor.<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki \u00f6rnek, R&#8217;deki <b>mltools<\/b> paketindeki <strong>mcc()<\/strong> i\u015flevini kullanarak bu \u00f6zel senaryo i\u00e7in MCC&#8217;nin nas\u0131l hesaplanaca\u011f\u0131n\u0131 g\u00f6sterir.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>\u00d6rnek: R&#8217;de Matthews Korelasyon Katsay\u0131s\u0131n\u0131n Hesaplanmas\u0131<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki kod, tahmin edilen s\u0131n\u0131flardan olu\u015fan bir vekt\u00f6r\u00fcn ve ger\u00e7ek s\u0131n\u0131flardan olu\u015fan bir vekt\u00f6r\u00fcn nas\u0131l tan\u0131mlanaca\u011f\u0131n\u0131 ve ard\u0131ndan <strong>mltools<\/strong> paketindeki <strong>mcc()<\/strong> i\u015flevini kullanarak Matthews korelasyon katsay\u0131s\u0131n\u0131n nas\u0131l hesaplanaca\u011f\u0131n\u0131 g\u00f6sterir:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008000;\">library<\/span> (mltools)\n\n<span style=\"color: #008080;\">#define vector of actual classes\n<\/span>actual &lt;- <span style=\"color: #008000;\">rep<\/span> (c(1, 0), <span style=\"color: #008000;\">times<\/span> =c(20, 380))\n\n<span style=\"color: #008080;\">#define vector of predicted classes\n<\/span>preds &lt;- <span style=\"color: #008000;\">rep<\/span> (c(1, 0, 1, 0), <span style=\"color: #008000;\">times<\/span> =c(15, 5, 5, 375))\n\n<span style=\"color: #008080;\">#calculate Matthews correlation coefficient\n<\/span>mcc(preds, actual)\n\n[1] 0.7368421\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Matthews korelasyon katsay\u0131s\u0131 <strong>0,7368&#8217;dir<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu, daha \u00f6nce manuel olarak hesaplad\u0131\u011f\u0131m\u0131z de\u011ferle e\u015fle\u015fiyor.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bir kar\u0131\u015f\u0131kl\u0131k matrisi i\u00e7in Matthews korelasyon katsay\u0131s\u0131n\u0131 hesaplamak istiyorsan\u0131z, <strong>kar\u0131\u015f\u0131kl\u0131kM<\/strong> ba\u011f\u0131ms\u0131z de\u011fi\u015fkenini a\u015fa\u011f\u0131daki gibi kullanabilirsiniz:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008000;\">library<\/span> (mltools)\n\n<span style=\"color: #008080;\">#create confusion matrix\n<\/span>conf_matrix &lt;- matrix(c(15, 5, 5, 375), nrow= <span style=\"color: #008000;\">2<\/span> )\n\n<span style=\"color: #008080;\">#view confusion matrix\n<\/span>conf_matrix\n\n     [,1] [,2]\n[1,] 15 5\n[2,] 5,375\n\n<span style=\"color: #008080;\">#calculate Matthews correlation coefficient for confusion matrix\n<\/span>mcc(confusionM = conf_matrix)\n\n[1] 0.7368421\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Yine Matthews korelasyon katsay\u0131s\u0131 <strong>0,7368&#8217;dir.<\/strong><\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki e\u011fitimlerde R&#8217;de di\u011fer ortak g\u00f6revlerin nas\u0131l ger\u00e7ekle\u015ftirilece\u011fi a\u00e7\u0131klanmaktad\u0131r:<\/span><\/p>\n<p> R&#8217;de lojistik regresyon nas\u0131l ger\u00e7ekle\u015ftirilir<br \/> <a href=\"https:\/\/statorials.org\/tr\/kaya-egrisi-ggplot2\/\" target=\"_blank\" rel=\"noopener\">Ggplot2 kullan\u0131larak bir ROC e\u011frisi nas\u0131l \u00e7izilir<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/r-cinsinden-f1-puani\/\" target=\"_blank\" rel=\"noopener\">R&#8217;de F1 puan\u0131 nas\u0131l hesaplan\u0131r<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Matthews Korelasyon Katsay\u0131s\u0131 (MCC), bir s\u0131n\u0131fland\u0131rma modelinin performans\u0131n\u0131 de\u011ferlendirmek i\u00e7in kullanabilece\u011fimiz bir \u00f6l\u00e7\u00fcmd\u00fcr. A\u015fa\u011f\u0131daki \u015fekilde hesaplan\u0131r: MM = (TP*TN \u2013 FP*FN) \/ \u221a (TP+FP)(TP+FN)(TN+FP)(TN+FN) Alt\u0131n: TP : Ger\u00e7ek pozitiflerin say\u0131s\u0131 TN : Ger\u00e7ek negatiflerin say\u0131s\u0131 FP : Yanl\u0131\u015f pozitiflerin say\u0131s\u0131 FN : Yanl\u0131\u015f negatiflerin say\u0131s\u0131 Bu \u00f6l\u00e7\u00fcm \u00f6zellikle iki s\u0131n\u0131f dengesiz oldu\u011funda, yani bir s\u0131n\u0131f\u0131n [&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-3613","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 Matthews korelasyon katsay\u0131s\u0131 nas\u0131l hesaplan\u0131r?<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde R&#039;deki Matthews korelasyon katsay\u0131s\u0131n\u0131n nas\u0131l hesaplanaca\u011f\u0131 bir \u00f6rnekle 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\/rdeki-matthews-korelasyon-katsayisi\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"R - 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