{"id":1129,"date":"2023-07-27T13:54:22","date_gmt":"2023-07-27T13:54:22","guid":{"rendered":"https:\/\/statorials.org\/tr\/rde-korelasyon-testi\/"},"modified":"2023-07-27T13:54:22","modified_gmt":"2023-07-27T13:54:22","slug":"rde-korelasyon-testi","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/rde-korelasyon-testi\/","title":{"rendered":"R&#39;de korelasyon testi nas\u0131l yap\u0131l\u0131r (\u00f6rneklerle)"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u0130ki de\u011fi\u015fken aras\u0131ndaki ili\u015fkiyi \u00f6l\u00e7menin bir yolu, iki de\u011fi\u015fken aras\u0131ndaki do\u011frusal ili\u015fkinin bir \u00f6l\u00e7\u00fcs\u00fc olan <a href=\"https:\/\/statorials.org\/tr\/pearson-korelasyon-katsayisi-1\/\" target=\"_blank\" rel=\"noopener noreferrer\">Pearson korelasyon katsay\u0131s\u0131n\u0131<\/a> kullanmakt\u0131r <em>.<\/em><\/span><\/p>\n<p> <span style=\"color: #000000;\">Her zaman -1 ile 1 aras\u0131nda bir de\u011fer al\u0131r; burada:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">-1, iki de\u011fi\u015fken aras\u0131nda tamamen negatif bir do\u011frusal korelasyonu g\u00f6sterir<\/span><\/li>\n<li> <span style=\"color: #000000;\">0, iki de\u011fi\u015fken aras\u0131nda do\u011frusal bir korelasyon olmad\u0131\u011f\u0131n\u0131 g\u00f6sterir<\/span><\/li>\n<li> <span style=\"color: #000000;\">1, iki de\u011fi\u015fken aras\u0131nda m\u00fckemmel pozitif do\u011frusal bir korelasyonu g\u00f6sterir<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Bir korelasyon katsay\u0131s\u0131n\u0131n istatistiksel olarak anlaml\u0131 olup olmad\u0131\u011f\u0131n\u0131 belirlemek i\u00e7in kar\u015f\u0131l\u0131k gelen t-puan\u0131n\u0131 ve p-de\u011ferini hesaplayabilirsiniz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Korelasyon katsay\u0131s\u0131n\u0131n (r) t-puan\u0131n\u0131 hesaplama form\u00fcl\u00fc \u015f\u00f6yledir:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>t<\/strong> = r * \u221a <span style=\"border-top: 1px solid black;\">n-2<\/span> \/ \u221a <span style=\"border-top: 1px solid black;\">1-r <sup>2<\/sup><\/span><\/span><\/p>\n<p> <span style=\"color: #000000;\">P-de\u011feri, n-2 serbestlik derecesine sahip t-da\u011f\u0131l\u0131m\u0131 i\u00e7in kar\u015f\u0131l\u0131k gelen iki kuyruklu p-de\u011feri olarak hesaplan\u0131r.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek: R&#8217;de korelasyon testi<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u0130ki de\u011fi\u015fken aras\u0131ndaki korelasyon katsay\u0131s\u0131n\u0131n istatistiksel olarak anlaml\u0131 olup olmad\u0131\u011f\u0131n\u0131 belirlemek i\u00e7in a\u015fa\u011f\u0131daki s\u00f6zdizimini kullanarak R&#8217;de bir korelasyon testi ger\u00e7ekle\u015ftirebilirsiniz:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>cor.test(x, y, method=c(\u201cpearson\u201d, \u201ckendall\u201d, \u201cm\u0131zrak\u00e7\u0131\u201d))<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>x, y:<\/strong> dijital veri vekt\u00f6rleri.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>y\u00f6ntem:<\/strong> \u0130ki vekt\u00f6r aras\u0131ndaki korelasyonu hesaplamak i\u00e7in kullan\u0131lan y\u00f6ntem. Varsay\u0131lan \u201cPearson\u201ddur.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, R&#8217;de a\u015fa\u011f\u0131daki iki vekt\u00f6re sahip oldu\u011fumuzu varsayal\u0131m:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong>x &lt;- c(2, 3, 3, 5, 6, 9, 14, 15, 19, 21, 22, 23)\ny &lt;- c(23, 24, 24, 23, 17, 28, 38, 34, 35, 39, 41, 43)\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">\u0130ki de\u011fi\u015fken aras\u0131nda korelasyon testi yapmadan \u00f6nce ili\u015fkilerini g\u00f6rselle\u015ftirmek i\u00e7in h\u0131zl\u0131 bir da\u011f\u0131l\u0131m grafi\u011fi olu\u015fturabiliriz:<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create scatterplot<\/span>\nplot(x, y, pch= <span style=\"color: #008000;\">16<\/span> )\n<\/strong><\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-11378 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/dispersionr1.png\" alt=\"R'de korelasyon testi\" width=\"491\" height=\"438\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">\u0130ki de\u011fi\u015fken aras\u0131nda pozitif bir ili\u015fkinin oldu\u011fu g\u00f6r\u00fclmektedir. Yani biri artt\u0131k\u00e7a di\u011feri de artma e\u011filimindedir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu korelasyonun istatistiksel olarak anlaml\u0131 olup olmad\u0131\u011f\u0131n\u0131 g\u00f6rmek i\u00e7in bir korelasyon testi yapabiliriz:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#perform correlation test between the two vectors<\/span>\ncor.test(x, y)\n\n\tPearson's product-moment correlation\n\ndata: x and y\nt = 7.8756, df = 10, p-value = 1.35e-05\nalternative hypothesis: true correlation is not equal to 0\n95 percent confidence interval:\n 0.7575203 0.9799783\nsample estimates:\n      horn \n0.9279869<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">\u0130ki vekt\u00f6r aras\u0131ndaki korelasyon katsay\u0131s\u0131 <strong>0,9279869<\/strong> olarak ortaya \u00e7\u0131k\u0131yor.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Test istatisti\u011fi <strong>7,8756<\/strong> ve buna kar\u015f\u0131l\u0131k gelen p de\u011feri <strong>1,35e-05<\/strong> olarak ortaya \u00e7\u0131k\u0131yor.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu de\u011fer 0,05&#8217;ten k\u00fc\u00e7\u00fck oldu\u011fundan iki de\u011fi\u015fken aras\u0131ndaki ili\u015fkinin istatistiksel olarak anlaml\u0131 oldu\u011funu s\u00f6yleyebilecek yeterli kan\u0131t\u0131m\u0131z vard\u0131r.<\/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\u011fitimler korelasyon katsay\u0131lar\u0131 hakk\u0131nda ek bilgi sa\u011flar:<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/tr\/pearson-korelasyon-katsayisi-1\/\" target=\"_blank\" rel=\"noopener noreferrer\">Pearson Korelasyon Katsay\u0131s\u0131na Giri\u015f<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\" target=\"_blank\" rel=\"noopener\">\u201cG\u00fc\u00e7l\u00fc\u201d bir korelasyon olarak kabul edilen \u015fey nedir?<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/pearson-korelasyon-hipotezleri\/\" target=\"_blank\" rel=\"noopener\">Pearson korelasyonunun be\u015f hipotezi<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0130ki de\u011fi\u015fken aras\u0131ndaki ili\u015fkiyi \u00f6l\u00e7menin bir yolu, iki de\u011fi\u015fken aras\u0131ndaki do\u011frusal ili\u015fkinin bir \u00f6l\u00e7\u00fcs\u00fc olan Pearson korelasyon katsay\u0131s\u0131n\u0131 kullanmakt\u0131r . Her zaman -1 ile 1 aras\u0131nda bir de\u011fer al\u0131r; burada: -1, iki de\u011fi\u015fken aras\u0131nda tamamen negatif bir do\u011frusal korelasyonu g\u00f6sterir 0, iki de\u011fi\u015fken aras\u0131nda do\u011frusal bir korelasyon olmad\u0131\u011f\u0131n\u0131 g\u00f6sterir 1, iki de\u011fi\u015fken aras\u0131nda m\u00fckemmel pozitif [&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-1129","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&#039;de Korelasyon Testi Nas\u0131l Yap\u0131l\u0131r (\u00d6rneklerle)<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde R&#039;deki iki de\u011fi\u015fken aras\u0131nda korelasyon 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