{"id":1237,"date":"2023-07-27T04:41:53","date_gmt":"2023-07-27T04:41:53","guid":{"rendered":"https:\/\/statorials.org\/tr\/elle-korelasyon-katsayisi\/"},"modified":"2023-07-27T04:41:53","modified_gmt":"2023-07-27T04:41:53","slug":"elle-korelasyon-katsayisi","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/elle-korelasyon-katsayisi\/","title":{"rendered":"Pearson korelasyon katsay\u0131s\u0131n\u0131 manuel olarak hesaplama"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/tr\/pearson-korelasyon-katsayisi-1\/\" target=\"_blank\" rel=\"noopener noreferrer\">Pearson korelasyon katsay\u0131s\u0131,<\/a> iki de\u011fi\u015fken aras\u0131ndaki do\u011frusal ili\u015fkiyi \u00f6l\u00e7er.<\/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;\"><em>r<\/em> ile g\u00f6sterilen Pearson korelasyon katsay\u0131s\u0131n\u0131 hesaplama form\u00fcl\u00fc \u015f\u00f6yledir:<\/span><\/p>\n<figure style=\"width: 323px\" class=\"wp-caption aligncenter\"><figcaption class=\"wp-caption-text\"><span style=\"color: #000000;\">Kaynak: <a href=\"https:\/\/en.wikipedia.org\/wiki\/Pearson_correlation_coefficient\" target=\"_blank\" rel=\"noopener noreferrer\">Vikipedi<\/a><\/span><\/figcaption><\/figure>\n<p> <span style=\"color: #000000;\">Bu e\u011fitimde, a\u015fa\u011f\u0131daki veri k\u00fcmesi i\u00e7in Pearson korelasyon katsay\u0131s\u0131n\u0131n manuel olarak nas\u0131l hesaplanaca\u011f\u0131na ili\u015fkin ad\u0131m ad\u0131m bir \u00f6rnek sunulmaktad\u0131r:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-12241 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/pearsonhand1.png\" alt=\"\" width=\"144\" height=\"244\" srcset=\"\" sizes=\"auto, \"><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ad\u0131m 1: X ve Y&#8217;nin ortalamas\u0131n\u0131 hesaplay\u0131n<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u00d6ncelikle X ve Y de\u011ferlerinin ortalamas\u0131n\u0131 hesaplayaca\u011f\u0131z:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-12242 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/pearsonhand2.png\" alt=\"\" width=\"244\" height=\"284\" srcset=\"\" sizes=\"auto, \"><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ad\u0131m 2: Ortalamalar aras\u0131ndaki fark\u0131 hesaplay\u0131n<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Daha sonra, X ve Y de\u011ferlerinin her biri ile bunlar\u0131n ilgili ortalamalar\u0131 aras\u0131ndaki fark\u0131 hesaplayaca\u011f\u0131z:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-12245 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/pearsonmain3-1.png\" alt=\"\" width=\"361\" height=\"273\" srcset=\"\" sizes=\"auto, \"><\/p>\n<h3> <strong>3. Ad\u0131m: Kalan de\u011ferleri hesaplay\u0131n<\/strong><\/h3>\n<p> <span style=\"color: #000000;\">Daha sonra Pearson korelasyon katsay\u0131s\u0131 form\u00fcl\u00fcn\u00fc tamamlamak i\u00e7in gereken kalan de\u011ferleri hesaplayaca\u011f\u0131z:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-12246 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/pearsonhand4.png\" alt=\"\" width=\"662\" height=\"276\" srcset=\"\" sizes=\"auto, \"><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ad\u0131m 4: Toplamlar\u0131 hesaplay\u0131n<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Daha sonra son \u00fc\u00e7 s\u00fctunun toplam\u0131n\u0131 hesaplayaca\u011f\u0131z:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-12247 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/pearsonhand5.png\" alt=\"\" width=\"673\" height=\"269\" srcset=\"\" sizes=\"auto, \"><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ad\u0131m 5: Pearson Korelasyon Katsay\u0131s\u0131n\u0131 Hesaplay\u0131n<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u015eimdi \u00f6nceki ad\u0131mdaki toplamlar\u0131 Pearson korelasyon katsay\u0131s\u0131 form\u00fcl\u00fcne koyaca\u011f\u0131z:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-12248\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/pearsonhand6.png\" alt=\"Pearson korelasyon katsay\u0131s\u0131 elle\" width=\"667\" height=\"330\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Pearson korelasyon katsay\u0131s\u0131 <strong>0,947<\/strong> olarak \u00e7\u0131k\u0131yor.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu de\u011ferin 1&#8217;e yak\u0131n olmas\u0131 X ve Y&#8217;nin g\u00fc\u00e7l\u00fc pozitif korelasyona sahip oldu\u011funu g\u00f6sterir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Yani X&#8217;in de\u011feri artt\u0131k\u00e7a Y&#8217;nin de\u011feri de olduk\u00e7a \u00f6ng\u00f6r\u00fclebilir bir \u015fekilde art\u0131yor.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h3>\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\/guven-araligi-korelasyon-katsayisi\/\" target=\"_blank\" rel=\"noopener noreferrer\">Korelasyon katsay\u0131s\u0131 i\u00e7in g\u00fcven aral\u0131\u011f\u0131 nas\u0131l bulunur?<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Pearson korelasyon katsay\u0131s\u0131, iki de\u011fi\u015fken aras\u0131ndaki do\u011frusal ili\u015fkiyi \u00f6l\u00e7er. 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 do\u011frusal bir korelasyonu g\u00f6sterir r ile g\u00f6sterilen Pearson korelasyon katsay\u0131s\u0131n\u0131 hesaplama [&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-1237","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>Pearson Korelasyon Katsay\u0131s\u0131n\u0131 Manuel Olarak 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