{"id":3008,"date":"2023-07-19T16:10:01","date_gmt":"2023-07-19T16:10:01","guid":{"rendered":"https:\/\/statorials.org\/tr\/spearman-korelasyonu-ne-zaman-kullanilir\/"},"modified":"2023-07-19T16:10:01","modified_gmt":"2023-07-19T16:10:01","slug":"spearman-korelasyonu-ne-zaman-kullanilir","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/spearman-korelasyonu-ne-zaman-kullanilir\/","title":{"rendered":"Spearman s\u0131ralama korelasyonu ne zaman kullan\u0131lmal\u0131 (2 senaryo)"},"content":{"rendered":"<p><\/p>\n<hr>\n<p>\u0130ki de\u011fi\u015fken aras\u0131ndaki do\u011frusal ili\u015fkiyi \u00f6l\u00e7menin en yayg\u0131n yolu, <span style=\"color: #000000;\">her zaman -1 ile 1 aras\u0131nda bir de\u011fer alan<\/span> <span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/tr\/pearson-korelasyon-katsayisi-1\/\" target=\"_blank\" rel=\"noopener\">Pearson korelasyon katsay\u0131s\u0131n\u0131<\/a> kullanmakt\u0131r<\/span> ; burada:<\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>-1<\/strong> tamamen negatif bir do\u011frusal korelasyonu g\u00f6sterir<\/span><\/li>\n<li> <span style=\"color: #000000;\">0 do\u011frusal korelasyonun olmad\u0131\u011f\u0131n\u0131 g\u00f6sterir<\/span><\/li>\n<li> <span style=\"color: #000000;\">1 m\u00fckemmel pozitif do\u011frusal korelasyonu g\u00f6sterir<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Bununla birlikte, bu t\u00fcr bir korelasyon katsay\u0131s\u0131, iki de\u011fi\u015fken aras\u0131ndaki ger\u00e7ek temel ili\u015fkinin <em>do\u011frusal<\/em> oldu\u011fu durumlarda en iyi sonucu verir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0130ki spesifik senaryoda en iyi \u015fekilde kullan\u0131lan <strong>, Spearman s\u0131ralama korelasyonu<\/strong> ad\u0131 verilen ba\u015fka bir t\u00fcr korelasyon katsay\u0131s\u0131 daha vard\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Senaryo 1<\/strong> : Gizli verilerle \u00e7al\u0131\u015f\u0131rken.<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Bir \u00f6\u011frencinin matematik s\u0131nav\u0131 puan\u0131 s\u0131ralamas\u0131n\u0131n yan\u0131 s\u0131ra bir s\u0131n\u0131ftaki fen s\u0131nav\u0131 puan\u0131 s\u0131ralamas\u0131n\u0131 da i\u00e7eren bir veri k\u00fcmesi buna \u00f6rnek olarak verilebilir.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>Senaryo 2<\/strong> : Bir veya daha fazla a\u015f\u0131r\u0131 ayk\u0131r\u0131 de\u011fer mevcut oldu\u011funda.<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Bir veri setinde a\u015f\u0131r\u0131 ayk\u0131r\u0131 de\u011ferler mevcut oldu\u011funda Pearson korelasyon katsay\u0131s\u0131 b\u00fcy\u00fck \u00f6l\u00e7\u00fcde etkilenir.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki \u00f6rnekler, bu senaryolar\u0131n her birinde Spearman s\u0131ra korelasyonunun nas\u0131l hesaplanaca\u011f\u0131n\u0131 g\u00f6stermektedir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong><span style=\"color: #000000;\">Senaryo 1: Spearman S\u0131ralamas\u0131n\u0131 Dereceli Verilerle \u0130li\u015fkilendirmek<\/span><\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u0130ki de\u011fi\u015fken aras\u0131ndaki ili\u015fkiyi g\u00f6steren a\u015fa\u011f\u0131daki veri setini (ve kar\u015f\u0131l\u0131k gelen da\u011f\u0131l\u0131m grafi\u011fini) g\u00f6z \u00f6n\u00fcnde bulundurun:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-25951 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/spearmanuse3-1.jpg\" alt=\"\" width=\"655\" height=\"363\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">\u0130statistik yaz\u0131l\u0131m\u0131 kullanarak bu iki de\u011fi\u015fken i\u00e7in a\u015fa\u011f\u0131daki korelasyon katsay\u0131lar\u0131n\u0131 hesaplayabiliriz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Pearson korelasyonu: <strong>0,79<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">Spearman s\u0131ralama korelasyonu: <strong>1<\/strong><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Bu senaryoda, veri de\u011ferlerinin sadece s\u0131ralamas\u0131n\u0131 \u00f6nemsiyorsak (x&#8217;in s\u0131ras\u0131 artt\u0131k\u00e7a y&#8217;nin s\u0131ras\u0131 da artar m\u0131?), Spearman&#8217;\u0131n s\u0131ra korelasyonu bize daha iyi bir fikir verecektir. iki de\u011fi\u015fken aras\u0131ndaki korelasyon. .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu \u00f6zel veri setinde x&#8217;in r\u00fctbesi artt\u0131k\u00e7a y&#8217;nin r\u00fctbesi de <em>her zaman<\/em> artar.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Spearman&#8217;\u0131n s\u0131ra korelasyonu, x&#8217;in s\u0131ralar\u0131 ile y&#8217;nin s\u0131ralar\u0131 aras\u0131nda m\u00fckemmel bir pozitif ili\u015fki ( <b>\u03c1 = 1<\/b> ) oldu\u011funu s\u00f6yleyerek bu davran\u0131\u015f\u0131 m\u00fckemmel bir \u015fekilde yakalar.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6te yandan Pearson korelasyonu bize iki de\u011fi\u015fken aras\u0131nda g\u00fc\u00e7l\u00fc bir do\u011frusal ili\u015fki ( <strong>r = 0,79<\/strong> ) oldu\u011funu s\u00f6yler.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu do\u011frudur, ancak yaln\u0131zca x&#8217;in mertebeleri ile y&#8217;nin mertebeleri aras\u0131ndaki ili\u015fkiyi \u00f6nemsiyorsak yararl\u0131 de\u011fildir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Senaryo 2: Spearman s\u0131ralamas\u0131n\u0131n a\u015f\u0131r\u0131 ayk\u0131r\u0131 de\u011ferlerle korelasyonu<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u0130ki de\u011fi\u015fken aras\u0131ndaki ili\u015fkiyi g\u00f6steren a\u015fa\u011f\u0131daki veri setini (ve kar\u015f\u0131l\u0131k gelen da\u011f\u0131l\u0131m grafi\u011fini) g\u00f6z \u00f6n\u00fcnde bulundurun:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-25948 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/lancemanuse1.jpg\" alt=\"\" width=\"654\" height=\"361\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">\u0130statistik yaz\u0131l\u0131m\u0131 kullanarak bu iki de\u011fi\u015fken i\u00e7in a\u015fa\u011f\u0131daki korelasyon katsay\u0131lar\u0131n\u0131 hesaplayabiliriz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Pearson korelasyonu: <strong>0,86<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">Spearman s\u0131ralama korelasyonu: <strong>0,85<\/strong><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Korelasyon katsay\u0131lar\u0131 neredeyse ayn\u0131d\u0131r \u00e7\u00fcnk\u00fc de\u011fi\u015fkenler aras\u0131ndaki temel ili\u015fki yakla\u015f\u0131k olarak do\u011frusald\u0131r ve a\u015f\u0131r\u0131 ayk\u0131r\u0131 de\u011ferler yoktur.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u015eimdi veri k\u00fcmesindeki son y de\u011ferini a\u015f\u0131r\u0131 u\u00e7 de\u011fer olacak \u015fekilde de\u011fi\u015ftirdi\u011fimizi varsayal\u0131m:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-25949 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/lancemanuse2.jpg\" alt=\"\" width=\"658\" height=\"368\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">\u0130statistik yaz\u0131l\u0131m\u0131 kullanarak korelasyon katsay\u0131lar\u0131n\u0131 yeniden hesaplayabiliriz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Pearson korelasyonu: <strong>0,69<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">Spearman s\u0131ralama korelasyonu: <strong>0,85<\/strong><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Pearson korelasyon katsay\u0131s\u0131 \u00f6nemli \u00f6l\u00e7\u00fcde de\u011fi\u015firken Spearman s\u0131ra korelasyon katsay\u0131s\u0131 ayn\u0131 kald\u0131.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0130statistik jargonunu kullan\u0131rsak, x ve y aras\u0131ndaki ili\u015fkinin <a href=\"https:\/\/statorials.org\/tr\/monoton-iliski\/\" target=\"_blank\" rel=\"noopener\">monoton<\/a> oldu\u011funu (x artt\u0131k\u00e7a y genellikle artar) ancak ayk\u0131r\u0131 de\u011ferin verileri b\u00fcy\u00fck \u00f6l\u00e7\u00fcde etkiledi\u011fi i\u00e7in do\u011frusal olmad\u0131\u011f\u0131n\u0131 s\u00f6yleyebiliriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu senaryoda, Spearman&#8217;\u0131n s\u0131ra korelasyonu bu monotonik ili\u015fkiyi iyi bir \u015fekilde \u00f6l\u00e7erken, Pearson korelasyonu iki de\u011fi\u015fken aras\u0131ndaki do\u011frusal ili\u015fkiyi hesaplamaya \u00e7al\u0131\u015ft\u0131\u011f\u0131 i\u00e7in k\u00f6t\u00fc bir i\u015f \u00e7\u0131kar\u0131yor.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u0130lgili:<\/strong> <a href=\"https:\/\/statorials.org\/tr\/spearman-korelasyonu-nasil-rapor-edilir\/\" target=\"_blank\" rel=\"noopener\">Spearman S\u0131ralamas\u0131 Korelasyonunu APA Format\u0131nda Raporlama<\/a><\/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\u011fitimlerde farkl\u0131 yaz\u0131l\u0131mlar kullan\u0131larak Spearman s\u0131ra korelasyonunun nas\u0131l hesaplanaca\u011f\u0131 a\u00e7\u0131klanmaktad\u0131r:<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/tr\/spearman-rutbe-korelasyonu-excel\/\" target=\"_blank\" rel=\"noopener\">Excel&#8217;de Spearman S\u0131ra Korelasyonu Nas\u0131l Hesaplan\u0131r?<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/spearman-siralama-korelasyonu-google-sayfalari\/\" target=\"_blank\" rel=\"noopener\">Google E-Tablolarda Spearman S\u0131ra Korelasyonu Nas\u0131l Hesaplan\u0131r?<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/rde-spearman-korelasyonu\/\" target=\"_blank\" rel=\"noopener\">R&#8217;de Spearman s\u0131ralama korelasyonu nas\u0131l hesaplan\u0131r<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/korelasyon-mizrakci-pitonu\/\" target=\"_blank\" rel=\"noopener\">Python&#8217;da Spearman S\u0131ra Korelasyonu Nas\u0131l Hesaplan\u0131r?<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0130ki de\u011fi\u015fken aras\u0131ndaki do\u011frusal ili\u015fkiyi \u00f6l\u00e7menin en yayg\u0131n yolu, her zaman -1 ile 1 aras\u0131nda bir de\u011fer alan Pearson korelasyon katsay\u0131s\u0131n\u0131 kullanmakt\u0131r ; burada: -1 tamamen negatif bir do\u011frusal korelasyonu g\u00f6sterir 0 do\u011frusal korelasyonun olmad\u0131\u011f\u0131n\u0131 g\u00f6sterir 1 m\u00fckemmel pozitif do\u011frusal korelasyonu g\u00f6sterir Bununla birlikte, bu t\u00fcr bir korelasyon katsay\u0131s\u0131, iki de\u011fi\u015fken aras\u0131ndaki ger\u00e7ek temel ili\u015fkinin [&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-3008","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>Spearman s\u0131ralama korelasyonu ne zaman kullan\u0131lmal\u0131 (2 senaryo) \u2013 Statorials<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde, de\u011fi\u015fkenler aras\u0131ndaki ili\u015fkiyi \u00f6l\u00e7mek i\u00e7in Spearman&#039;\u0131n s\u0131ra korelasyonunu kullanman\u0131z gereken iki senaryo 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\" 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