{"id":3595,"date":"2023-07-16T15:36:27","date_gmt":"2023-07-16T15:36:27","guid":{"rendered":"https:\/\/statorials.org\/tr\/surekli-kategorik-degiskenler-arasindaki-korelasyon\/"},"modified":"2023-07-16T15:36:27","modified_gmt":"2023-07-16T15:36:27","slug":"surekli-kategorik-degiskenler-arasindaki-korelasyon","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/surekli-kategorik-degiskenler-arasindaki-korelasyon\/","title":{"rendered":"S\u00fcrekli ve kategorik de\u011fi\u015fkenler aras\u0131ndaki korelasyon nas\u0131l hesaplan\u0131r?"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u0130ki s\u00fcrekli de\u011fi\u015fken aras\u0131ndaki korelasyonu hesaplamak istedi\u011fimizde genellikle <a href=\"https:\/\/statorials.org\/tr\/pearson-korelasyon-katsayisi-1\/\" target=\"_blank\" rel=\"noopener\">Pearson korelasyon katsay\u0131s\u0131n\u0131<\/a> kullan\u0131r\u0131z.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ancak s\u00fcrekli bir de\u011fi\u015fken ile <a href=\"https:\/\/statorials.org\/tr\/kategorik-ve-niceliksel\/\" target=\"_blank\" rel=\"noopener\">kategorik bir de\u011fi\u015fken<\/a> aras\u0131ndaki korelasyonu hesaplamak istedi\u011fimizde <strong>nokta \u00e7ift serili korelasyon<\/strong> denilen y\u00f6ntemi kullanabiliriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Nokta \u00e7ift serili korelasyon, ikili kategorik bir de\u011fi\u015fken (yaln\u0131zca iki de\u011fer alabilen bir de\u011fi\u015fken) ile s\u00fcrekli bir de\u011fi\u015fken aras\u0131ndaki korelasyonu hesaplamak i\u00e7in kullan\u0131l\u0131r ve a\u015fa\u011f\u0131daki \u00f6zelliklere sahiptir:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Nokta-\u00e7ift serili korelasyon -1 ile 1 aras\u0131nda de\u011fi\u015febilir.<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u0130kili de\u011fi\u015fkenin olu\u015fturdu\u011fu her grup i\u00e7in s\u00fcrekli de\u011fi\u015fkenin e\u015fit varyanslarla normal da\u011f\u0131ld\u0131\u011f\u0131 varsay\u0131l\u0131r.<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u0130kili de\u011fi\u015fken taraf\u0131ndan olu\u015fturulan her grup i\u00e7in a\u015f\u0131r\u0131 ayk\u0131r\u0131 de\u011ferlerin olmad\u0131\u011f\u0131 varsay\u0131l\u0131r.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><span style=\"color: #000000;\">A\u015fa\u011f\u0131daki \u00f6rnek, pratikte nokta-\u00e7ift serili korelasyonun nas\u0131l hesaplanaca\u011f\u0131n\u0131 g\u00f6sterir.<\/span><\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>\u00d6rnek: Nokta-\u00e7ift serili korelasyonun hesaplanmas\u0131<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">Bir \u00fcniversite profes\u00f6r\u00fcn\u00fcn belirli bir yeterlilik s\u0131nav\u0131nda cinsiyet ile puan aras\u0131nda bir ili\u015fki olup olmad\u0131\u011f\u0131n\u0131 belirlemek istedi\u011fini varsayal\u0131m.<\/span><\/p>\n<p> <span style=\"color: #000000;\">S\u0131n\u0131f\u0131ndaki 12 erkek ve 12 k\u0131z hakk\u0131nda a\u015fa\u011f\u0131daki verileri topluyor:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-29641 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/correlation1.jpg\" alt=\"\" width=\"154\" height=\"580\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\"><strong>Cinsiyet<\/strong> kategorik bir de\u011fi\u015fken ve <strong>puan<\/strong> s\u00fcrekli bir de\u011fi\u015fken oldu\u011fundan, iki de\u011fi\u015fken aras\u0131nda nokta-\u00e7ift serili bir korelasyonun hesaplanmas\u0131 mant\u0131kl\u0131d\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Profes\u00f6r, iki de\u011fi\u015fken aras\u0131ndaki nokta-\u00e7ift serili korelasyonu hesaplamak i\u00e7in herhangi bir istatistiksel yaz\u0131l\u0131m\u0131 (Excel, R, Python, SPSS, Stata dahil) kullanabilir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki kod, cinsiyet de\u011fi\u015fkeni i\u00e7in kad\u0131nlar\u0131 temsil etmek i\u00e7in 0 ve erkekleri temsil etmek i\u00e7in 1 de\u011ferini kullanarak R&#8217;de nokta \u00e7ift serili korelasyonun nas\u0131l hesaplanaca\u011f\u0131n\u0131 g\u00f6sterir:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#define values for gender\n<\/span>gender &lt;- c(0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\n            1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1)\n\n<span style=\"color: #008080;\">#define values for score\n<\/span>score &lt;- c(77, 78, 79, 79, 82, 84, 85, 88, 89, 91, 91, 94,\n           84, 84, 84, 85, 85, 86, 86, 86, 89, 91, 94, 98)\n\n<span style=\"color: #008080;\">#calculate point-biserial correlation\n<\/span>horn. <span style=\"color: #3366ff;\">test<\/span> (gender, score)\n\n\tPearson's product-moment correlation\n\ndata: gender and score\nt = 1.3739, df = 22, p-value = 0.1833\nalternative hypothesis: true correlation is not equal to 0\n95 percent confidence interval:\n -0.1379386 0.6147832\nsample estimates:\n      horn \n0.2810996<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Sonu\u00e7tan nokta-\u00e7ift serili korelasyon katsay\u0131s\u0131n\u0131n <strong>0,281<\/strong> ve kar\u015f\u0131l\u0131k gelen p de\u011ferinin <strong>0,1833<\/strong> oldu\u011funu g\u00f6rebiliriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Korelasyon katsay\u0131s\u0131n\u0131n pozitif olmas\u0131 bize cinsiyet ile puan aras\u0131nda pozitif bir ili\u015fki oldu\u011funu g\u00f6stermektedir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Erkekleri 1, kad\u0131nlar\u0131 0 olarak kodlad\u0131\u011f\u0131m\u0131z i\u00e7in bu, puanlar\u0131n erkeklerde daha y\u00fcksek oldu\u011funu g\u00f6stermektedir (yani cinsiyet &#8220;art\u0131k\u00e7a&#8221; puanlar da artma e\u011filimindedir). \u00bb 0&#8217;dan 1&#8217;e).<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ancak p de\u011feri 0,05&#8217;ten k\u00fc\u00e7\u00fck olmad\u0131\u011f\u0131ndan bu korelasyon katsay\u0131s\u0131 istatistiksel olarak anlaml\u0131 de\u011fildir.<\/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 farkl\u0131 istatistiksel yaz\u0131l\u0131mlar kullan\u0131larak nokta \u00e7ift serili korelasyonun nas\u0131l hesaplanaca\u011f\u0131 a\u00e7\u0131klanmaktad\u0131r:<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/tr\/nokta-cift-serili-korelasyon-excel\/\" target=\"_blank\" rel=\"noopener\">Excel&#8217;de nokta-\u00e7ift serili korelasyon nas\u0131l hesaplan\u0131r<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/nokta-cift-serili-korelasyon-r\/\" target=\"_blank\" rel=\"noopener\">R&#8217;de nokta-\u00e7ift serili korelasyon nas\u0131l hesaplan\u0131r<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/nokta-cift-serili-korelasyon-pitonu\/\" target=\"_blank\" rel=\"noopener\">Python&#8217;da nokta-\u00e7ift serili korelasyon nas\u0131l hesaplan\u0131r<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0130ki s\u00fcrekli de\u011fi\u015fken aras\u0131ndaki korelasyonu hesaplamak istedi\u011fimizde genellikle Pearson korelasyon katsay\u0131s\u0131n\u0131 kullan\u0131r\u0131z. Ancak s\u00fcrekli bir de\u011fi\u015fken ile kategorik bir de\u011fi\u015fken aras\u0131ndaki korelasyonu hesaplamak istedi\u011fimizde nokta \u00e7ift serili korelasyon denilen y\u00f6ntemi kullanabiliriz. Nokta \u00e7ift serili korelasyon, ikili kategorik bir de\u011fi\u015fken (yaln\u0131zca iki de\u011fer alabilen bir de\u011fi\u015fken) ile s\u00fcrekli bir de\u011fi\u015fken aras\u0131ndaki korelasyonu hesaplamak i\u00e7in kullan\u0131l\u0131r ve [&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-3595","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>S\u00fcrekli ve kategorik de\u011fi\u015fkenler aras\u0131ndaki korelasyon nas\u0131l hesaplan\u0131r - Statorials<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde s\u00fcrekli ve kategorik de\u011fi\u015fkenler aras\u0131ndaki korelasyonun 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\/surekli-kategorik-degiskenler-arasindaki-korelasyon\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"S\u00fcrekli ve kategorik de\u011fi\u015fkenler aras\u0131ndaki korelasyon nas\u0131l hesaplan\u0131r - 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