{"id":741,"date":"2023-07-28T22:18:26","date_gmt":"2023-07-28T22:18:26","guid":{"rendered":"https:\/\/statorials.org\/tr\/guven-araligi-korelasyon-katsayisi\/"},"modified":"2023-07-28T22:18:26","modified_gmt":"2023-07-28T22:18:26","slug":"guven-araligi-korelasyon-katsayisi","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/guven-araligi-korelasyon-katsayisi\/","title":{"rendered":"Korelasyon katsay\u0131s\u0131 i\u00e7in g\u00fcven aral\u0131\u011f\u0131"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>Bir korelasyon katsay\u0131s\u0131 i\u00e7in g\u00fcven aral\u0131\u011f\u0131,<\/strong> belirli bir g\u00fcven d\u00fczeyine sahip bir pop\u00fclasyon korelasyon katsay\u0131s\u0131n\u0131 i\u00e7ermesi muhtemel bir de\u011fer aral\u0131\u011f\u0131d\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu e\u011fitimde a\u015fa\u011f\u0131dakiler a\u00e7\u0131klanmaktad\u0131r:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Bu t\u00fcr bir g\u00fcven aral\u0131\u011f\u0131 yaratman\u0131n motivasyonu.<\/span><\/li>\n<li> <span style=\"color: #000000;\">Bu t\u00fcr bir g\u00fcven aral\u0131\u011f\u0131 olu\u015fturman\u0131n form\u00fcl\u00fc.<\/span><\/li>\n<li> <span style=\"color: #000000;\">Bu t\u00fcr bir g\u00fcven aral\u0131\u011f\u0131n\u0131n nas\u0131l olu\u015fturulaca\u011f\u0131na dair bir \u00f6rnek.<\/span><\/li>\n<li> <span style=\"color: #000000;\">Bu t\u00fcr bir g\u00fcven aral\u0131\u011f\u0131 nas\u0131l yorumlan\u0131r?<\/span><\/li>\n<\/ul>\n<h3> <span style=\"color: #000000;\"><strong>Korelasyon katsay\u0131s\u0131 i\u00e7in g\u00fcven aral\u0131\u011f\u0131: motivasyon<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Korelasyon katsay\u0131s\u0131 i\u00e7in <a href=\"https:\/\/statorials.org\/tr\/guvenilirlik-araligi\/\" target=\"_blank\" rel=\"noopener\">g\u00fcven aral\u0131\u011f\u0131<\/a> olu\u015fturmam\u0131z\u0131n nedeni, pop\u00fclasyon korelasyon katsay\u0131s\u0131n\u0131 tahmin ederken belirsizli\u011fimizi yakalamakt\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, belirli bir il\u00e7ede ya\u015fayanlar\u0131n boy ve kilolar\u0131 aras\u0131ndaki korelasyon katsay\u0131s\u0131n\u0131 tahmin etmek istedi\u011fimizi varsayal\u0131m. \u0130l\u00e7ede binlerce sakin bulundu\u011fundan, etrafta dola\u015f\u0131p her sakinin boyu ve kilosu hakk\u0131nda bilgi toplamak \u00e7ok pahal\u0131 ve zaman al\u0131c\u0131 olacakt\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bunun yerine, sakinlerden <a href=\"https:\/\/statorials.org\/tr\/ornekleme-yontemleri\/\" target=\"_blank\" rel=\"noopener\">basit ve rastgele bir \u00f6rnek<\/a> se\u00e7ip onlar hakk\u0131nda bilgi toplayabiliriz.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-7603\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/ciprop1.png\" alt=\"N\u00fcfus oran\u0131n\u0131 tahmin etme \u00f6rne\u011fi\" width=\"429\" height=\"400\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Sakinlerden rastgele bir \u00f6rnek se\u00e7ti\u011fimiz i\u00e7in, bu \u00f6rneklenen sakinlerin boy ve kilolar\u0131 aras\u0131ndaki korelasyon katsay\u0131s\u0131n\u0131n daha b\u00fcy\u00fck pop\u00fclasyonun korelasyon katsay\u0131s\u0131yla tam olarak e\u015fle\u015fece\u011finin garantisi yoktur.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Dolay\u0131s\u0131yla, bu belirsizli\u011fi yakalamak i\u00e7in o il\u00e7ede ya\u015fayanlar\u0131n boy ve kilolar\u0131 aras\u0131ndaki ger\u00e7ek korelasyon katsay\u0131s\u0131n\u0131 i\u00e7ermesi muhtemel bir dizi de\u011fer i\u00e7eren bir g\u00fcven aral\u0131\u011f\u0131 olu\u015fturabiliriz.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Korelasyon katsay\u0131s\u0131 i\u00e7in g\u00fcven aral\u0131\u011f\u0131: form\u00fcl<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u00d6rneklem boyutu <strong>n<\/strong> ve \u00f6rnek korelasyon katsay\u0131s\u0131 <strong>r&#8217;ye<\/strong> dayal\u0131 olarak bir pop\u00fclasyon korelasyon katsay\u0131s\u0131 i\u00e7in bir g\u00fcven aral\u0131\u011f\u0131 hesaplamak \u00fczere a\u015fa\u011f\u0131daki ad\u0131mlar\u0131 kullan\u0131r\u0131z.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 1: Fisher D\u00f6n\u00fc\u015f\u00fcm\u00fcn\u00fc ger\u00e7ekle\u015ftirin.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">z <sub>r<\/sub> = ln((1+r) \/ (1-r)) \/ 2 olsun<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 2: Logun \u00fcst ve alt limitlerini bulun.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">L = z <sub>r<\/sub> \u2013 (z <sub>1-\u03b1\/2<\/sub> \/\u221a <span style=\"border-top: 1px solid black;\">n-3<\/span> ) olsun<\/span><\/p>\n<p> <span style=\"color: #000000;\">U = z <sub>r<\/sub> + (z <sub>1-\u03b1\/2<\/sub> \/\u221a <span style=\"border-top: 1px solid black;\">n-3<\/span> ) olsun<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 3: G\u00fcven aral\u0131\u011f\u0131n\u0131 bulun.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Nihai g\u00fcven aral\u0131\u011f\u0131 a\u015fa\u011f\u0131daki form\u00fcl kullan\u0131larak bulunabilir:<\/span><\/p>\n<p> <span style=\"color: #000000;\">G\u00fcven aral\u0131\u011f\u0131 = [(e <sup>2L<\/sup> -1)\/(e <sup>2L<\/sup> +1), (e <sup>2U<\/sup> -1)\/(e <sup>2U<\/sup> +1)]<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Korelasyon katsay\u0131s\u0131 i\u00e7in g\u00fcven aral\u0131\u011f\u0131: \u00f6rnek<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Belirli bir il\u00e7ede ya\u015fayanlar\u0131n boy ve kilolar\u0131 aras\u0131ndaki korelasyon katsay\u0131s\u0131n\u0131 tahmin etmek istedi\u011fimizi varsayal\u0131m. 30 sakinden rastgele bir \u00f6rnek se\u00e7iyoruz ve a\u015fa\u011f\u0131daki bilgileri buluyoruz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u00d6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fc <strong>n = 30<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">Boy ve kilo aras\u0131ndaki korelasyon katsay\u0131s\u0131 <strong>r = 0,56<\/strong><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Pop\u00fclasyon korelasyon katsay\u0131s\u0131 i\u00e7in %95 g\u00fcven aral\u0131\u011f\u0131n\u0131 \u015fu \u015fekilde bulabilirsiniz:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 1: Fisher D\u00f6n\u00fc\u015f\u00fcm\u00fcn\u00fc ger\u00e7ekle\u015ftirin.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">z <sub>r<\/sub> = ln((1+r) \/ (1-r)) \/ 2 = ln((1+.56) \/ (1-.56)) \/ 2 = <strong>0.6328<\/strong> olsun<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 2: Logun \u00fcst ve alt limitlerini bulun.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">L = z <sub>r<\/sub> \u2013 (z <sub>1-\u03b1\/2<\/sub> \/\u221a <span style=\"border-top: 1px solid black;\">n-3<\/span> ) = 0,6328 \u2013 (1,96 \/\u221a <span style=\"border-top: 1px solid black;\">30-3<\/span> ) = <strong>0,2556 olsun<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">U = z <sub>r<\/sub> + (z <sub>1-\u03b1\/2<\/sub> \/\u221a <span style=\"border-top: 1px solid black;\">n-3<\/span> ) = 0,6328 + (1,96 \/\u221a <span style=\"border-top: 1px solid black;\">30-3<\/span> ) = <strong>1,01<\/strong> olsun<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 3: G\u00fcven aral\u0131\u011f\u0131n\u0131 bulun.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">G\u00fcven aral\u0131\u011f\u0131 = [(e <sup>2L<\/sup> -1)\/(e <sup>2L<\/sup> +1), (e <sup>2U<\/sup> -1)\/(e <sup>2U<\/sup> +1)]<\/span><\/p>\n<p> <span style=\"color: #000000;\">G\u00fcven aral\u0131\u011f\u0131 = [(e <sup>2(.2556)<\/sup> -1)\/(e <sup>2(.2556)<\/sup> +1), (e <sup>2(1.01)<\/sup> -1)\/(e <sup>2(1.01)<\/sup> +1)] = <strong>[. 2502, .7658]<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><span style=\"color: #000000;\"><strong>Not:<\/strong> Bu g\u00fcven aral\u0131\u011f\u0131n\u0131 <a href=\"https:\/\/statorials.org\/tr\/guven-araligi-korelasyon-katsayisi-hesaplayicisi\/\" target=\"_blank\" rel=\"noopener\">Korelasyon Katsay\u0131s\u0131 Hesaplay\u0131c\u0131s\u0131 i\u00e7in G\u00fcven Aral\u0131\u011f\u0131n\u0131<\/a> kullanarak da bulabilirsiniz.<\/span><\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Korelasyon katsay\u0131s\u0131 i\u00e7in g\u00fcven aral\u0131\u011f\u0131: yorumlama<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Bir g\u00fcven aral\u0131\u011f\u0131n\u0131 yorumlama \u015feklimiz \u015fu \u015fekildedir:<\/span><\/p>\n<blockquote>\n<p> <span style=\"color: #000000;\">[0,2502, 0,7658] g\u00fcven aral\u0131\u011f\u0131n\u0131n o il\u00e7e sakinlerinin boyu ve kilosu aras\u0131ndaki ger\u00e7ek n\u00fcfus korelasyon katsay\u0131s\u0131n\u0131 i\u00e7erme olas\u0131l\u0131\u011f\u0131 %95&#8217;tir.<\/span><\/p>\n<\/blockquote>\n<p> <span style=\"color: #000000;\">Ayn\u0131 \u015feyi s\u00f6ylemenin ba\u015fka bir yolu da, ger\u00e7ek pop\u00fclasyon korelasyon katsay\u0131s\u0131n\u0131n %95 g\u00fcven aral\u0131\u011f\u0131n\u0131n d\u0131\u015f\u0131nda kalma ihtimalinin yaln\u0131zca %5 oldu\u011fudur.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Yani, bu il\u00e7ede ya\u015fayanlar\u0131n boy ve kilolar\u0131 aras\u0131ndaki ger\u00e7ek n\u00fcfus korelasyon katsay\u0131s\u0131n\u0131n 0,2502&#8217;den az veya 0,7658&#8217;den b\u00fcy\u00fck olma ihtimali yaln\u0131zca %5&#8217;tir.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Bir korelasyon katsay\u0131s\u0131 i\u00e7in g\u00fcven aral\u0131\u011f\u0131, belirli bir g\u00fcven d\u00fczeyine sahip bir pop\u00fclasyon korelasyon katsay\u0131s\u0131n\u0131 i\u00e7ermesi muhtemel bir de\u011fer aral\u0131\u011f\u0131d\u0131r. Bu e\u011fitimde a\u015fa\u011f\u0131dakiler a\u00e7\u0131klanmaktad\u0131r: Bu t\u00fcr bir g\u00fcven aral\u0131\u011f\u0131 yaratman\u0131n motivasyonu. Bu t\u00fcr bir g\u00fcven aral\u0131\u011f\u0131 olu\u015fturman\u0131n form\u00fcl\u00fc. Bu t\u00fcr bir g\u00fcven aral\u0131\u011f\u0131n\u0131n nas\u0131l olu\u015fturulaca\u011f\u0131na dair bir \u00f6rnek. Bu t\u00fcr bir g\u00fcven aral\u0131\u011f\u0131 nas\u0131l yorumlan\u0131r? [&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-741","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>Korelasyon katsay\u0131s\u0131 i\u00e7in g\u00fcven aral\u0131\u011f\u0131 - Statorials<\/title>\n<meta name=\"description\" content=\"Bir korelasyon katsay\u0131s\u0131 i\u00e7in g\u00fcven aral\u0131\u011f\u0131n\u0131n nas\u0131l hesaplanaca\u011f\u0131na ili\u015fkin, ad\u0131m ad\u0131m \u00f6rnek i\u00e7eren basit bir a\u00e7\u0131klama.\" \/>\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\/guven-araligi-korelasyon-katsayisi\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Korelasyon katsay\u0131s\u0131 i\u00e7in g\u00fcven aral\u0131\u011f\u0131 - 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