{"id":564,"date":"2023-07-29T12:00:21","date_gmt":"2023-07-29T12:00:21","guid":{"rendered":"https:\/\/statorials.org\/tr\/korelasyon-matrisi-nasil-okunur\/"},"modified":"2023-07-29T12:00:21","modified_gmt":"2023-07-29T12:00:21","slug":"korelasyon-matrisi-nasil-okunur","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/korelasyon-matrisi-nasil-okunur\/","title":{"rendered":"Korelasyon matrisi nas\u0131l okunur"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u0130statistikte s\u0131kl\u0131kla iki de\u011fi\u015fken aras\u0131ndaki ili\u015fkiyi anlamaya \u00e7al\u0131\u015f\u0131r\u0131z.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin bir \u00f6\u011frencinin ders \u00e7al\u0131\u015ft\u0131\u011f\u0131 saat ile s\u0131navda ald\u0131\u011f\u0131 not aras\u0131ndaki ili\u015fkiyi anlamak isteyebiliriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu 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> -1 ile 1 aras\u0131nda bir de\u011fere sahiptir; 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;\">Korelasyon katsay\u0131s\u0131 s\u0131f\u0131rdan ne kadar uzaksa, iki de\u011fi\u015fken aras\u0131ndaki ili\u015fki o kadar g\u00fc\u00e7l\u00fcd\u00fcr.<\/span><\/p>\n<p> <strong><span style=\"color: #000000;\">\u0130lgili:<\/span><\/strong> <a href=\"https:\/\/statorials.org\/tr\" target=\"_blank\" rel=\"noopener noreferrer\">Ne &#8220;g\u00fc\u00e7l\u00fc&#8221; bir korelasyon olarak kabul edilir?<\/a><\/p>\n<p> <span style=\"color: #000000;\">Ancak baz\u0131 durumlarda birden fazla de\u011fi\u015fken \u00e7ifti aras\u0131ndaki korelasyonu anlamak isteriz. Bu durumlarda, \u00e7e\u015fitli de\u011fi\u015fkenler aras\u0131ndaki korelasyon katsay\u0131lar\u0131n\u0131 g\u00f6steren kare bir tablo olan bir <strong>korelasyon matrisi<\/strong> olu\u015fturabiliriz.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Korelasyon Matrisi \u00d6rne\u011fi<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki korelasyon matrisi, e\u011fitimle ilgili \u00e7e\u015fitli de\u011fi\u015fkenler aras\u0131ndaki korelasyon katsay\u0131lar\u0131n\u0131 sunmaktad\u0131r:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-5045 size-full\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/correlationmatrix0.jpg\" alt=\"Korelasyon Matrisi \u00d6rne\u011fi\" width=\"549\" height=\"174\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Tablodaki her h\u00fccre, iki spesifik de\u011fi\u015fken aras\u0131ndaki korelasyonu g\u00f6sterir.<\/span> <span style=\"color: #000000;\">\u00d6rne\u011fin, a\u015fa\u011f\u0131da vurgulanan h\u00fccre, &#8220;\u00e7al\u0131\u015fmaya harcanan saat&#8221; ile &#8220;s\u0131nav notu&#8221; aras\u0131ndaki korelasyonun <strong>0,82<\/strong> oldu\u011funu g\u00f6sterir; bu da bunlar\u0131n g\u00fc\u00e7l\u00fc bir pozitif korelasyona sahip oldu\u011funu g\u00f6sterir. \u00c7al\u0131\u015fmaya harcanan daha fazla saat, daha y\u00fcksek s\u0131nav puanlar\u0131yla yak\u0131ndan ba\u011flant\u0131l\u0131d\u0131r.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-5043 size-full\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/correlationmatrice2.jpg\" alt=\"Korelasyon matrisini okuma \u00f6rne\u011fi\" width=\"555\" height=\"176\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131da vurgulanan h\u00fccre, &#8220;\u00e7al\u0131\u015fmaya harcanan saat&#8221; ile &#8220;uykuya harcanan saat&#8221; aras\u0131ndaki korelasyonun <strong>-0,22<\/strong> oldu\u011funu g\u00f6steriyor, bu da bunlar\u0131n zay\u0131f negatif korelasyona sahip oldu\u011funu g\u00f6steriyor. \u00c7al\u0131\u015fmaya harcanan daha fazla saat, uykuya harcanan saatlerin azalmas\u0131yla ili\u015fkilidir.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-5046 size-full\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/correlationmatrice3.jpg\" alt=\"Korelasyon matrisindeki negatif korelasyon \u00f6rne\u011fi\" width=\"550\" height=\"178\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131da vurgulanan h\u00fccre, &#8220;uykuda harcanan saat&#8221; ile &#8220;IQ puan\u0131&#8221; aras\u0131ndaki korelasyonun <strong>0,06<\/strong> oldu\u011funu g\u00f6steriyor, bu da bunlar\u0131n temelde korelasyonsuz oldu\u011funu g\u00f6steriyor. Bir \u00f6\u011frencinin uyudu\u011fu saat say\u0131s\u0131 ile IQ puan\u0131 aras\u0131nda \u00e7ok az bir ili\u015fki vard\u0131r.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-5053 size-full\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/correlationmatrix9.jpg\" alt=\"Korelasyonsuz korelasyon matrisi \u00f6rne\u011fi\" width=\"549\" height=\"175\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Ayr\u0131ca tablonun k\u00f6\u015fegeni boyunca korelasyon katsay\u0131lar\u0131n\u0131n hepsinin 1&#8217;e e\u015fit oldu\u011funa dikkat edin, \u00e7\u00fcnk\u00fc her de\u011fi\u015fken kendisi ile m\u00fckemmel bir korelasyona sahiptir. Bu h\u00fccreler yorumlama i\u00e7in kullan\u0131\u015fl\u0131 de\u011fildir.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-5047 size-full\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/correlationmatrice4.jpg\" alt=\"Korelasyon matrisindeki diyagonal h\u00fccrelere \u00f6rnek\" width=\"553\" height=\"179\" srcset=\"\" sizes=\"auto, \"><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Korelasyon matrisinin varyasyonlar\u0131<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">Bir korelasyon matrisinin tamamen simetrik oldu\u011funu unutmay\u0131n. \u00d6rne\u011fin, sa\u011f \u00fcst h\u00fccre, sol alt h\u00fccreyle tam olarak ayn\u0131 de\u011feri g\u00f6sterir:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-5048 size-full\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/correlationmatrice5.jpg\" alt=\"Simetrik Korelasyon Matrisi \u00d6rne\u011fi\" width=\"554\" height=\"176\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Ger\u00e7ekten de iki h\u00fccre, &#8220;\u00e7al\u0131\u015fmaya harcanan saat&#8221; ile &#8220;okul notu&#8221; aras\u0131ndaki ili\u015fkiyi \u00f6l\u00e7er.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Korelasyon matrisi simetrik oldu\u011fundan matriste g\u00f6r\u00fcnt\u00fclenen korelasyon katsay\u0131lar\u0131n\u0131n yar\u0131s\u0131 gereksiz ve gereksizdir. Yani bazen korelasyon matrisinin yaln\u0131zca yar\u0131s\u0131 g\u00f6r\u00fcnt\u00fclenecektir:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-5049 size-full\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/correlationmatrice6.jpg\" alt=\"Korelasyon matrisinin yar\u0131s\u0131\" width=\"548\" height=\"177\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Bazen korelasyon matrisi, korelasyon katsay\u0131lar\u0131n\u0131n okunmas\u0131n\u0131 daha da kolayla\u015ft\u0131rmak i\u00e7in \u0131s\u0131 haritas\u0131 gibi renklendirilir:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-5050 size-full\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/correlationmatrix7.jpg\" alt=\"Is\u0131 Haritas\u0131 Korelasyon Matrisi \u00d6rne\u011fi\" width=\"554\" height=\"185\" srcset=\"\" sizes=\"auto, \"><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Korelasyon matrisi ne zaman kullan\u0131l\u0131r?<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">Uygulamada, bir korelasyon matrisi genellikle \u00fc\u00e7 nedenden dolay\u0131 kullan\u0131l\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>1. Korelasyon matrisi bir dizi veriyi uygun \u015fekilde \u00f6zetler.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Korelasyon matrisi, bir veri setindeki t\u00fcm de\u011fi\u015fkenler aras\u0131ndaki korelasyonlar\u0131 \u00f6zetlemenin basit bir yoludur. \u00d6rne\u011fin, 1000 \u00f6\u011frenciye ait a\u015fa\u011f\u0131daki bilgileri i\u00e7eren a\u015fa\u011f\u0131daki veri k\u00fcmesine sahip oldu\u011fumuzu varsayal\u0131m:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-5051 size-full\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/correlationmatrix8.jpg\" alt=\"Korelasyon matrisi i\u00e7in \u00f6rnek ham veri seti\" width=\"505\" height=\"297\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Sadece ham verilere bakarak her de\u011fi\u015fken aras\u0131ndaki ili\u015fkiyi anlamak \u00e7ok zor olacakt\u0131r. Neyse ki bir korelasyon matrisi, her de\u011fi\u015fken \u00e7ifti aras\u0131ndaki korelasyonu h\u0131zl\u0131 bir \u015fekilde anlamam\u0131za yard\u0131mc\u0131 olabilir.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>2. Korelasyon matrisi regresyonun tan\u0131s\u0131na hizmet eder.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00c7oklu do\u011frusal regresyonun temel varsay\u0131mlar\u0131ndan biri, modeldeki hi\u00e7bir ba\u011f\u0131ms\u0131z de\u011fi\u015fkenin, modeldeki di\u011fer herhangi bir de\u011fi\u015fkenle g\u00fc\u00e7l\u00fc bir korelasyona sahip olmamas\u0131d\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0130ki ba\u011f\u0131ms\u0131z de\u011fi\u015fkenin y\u00fcksek korelasyona sahip olmas\u0131 \u00e7oklu do\u011frusall\u0131k ad\u0131 verilen bir problemle sonu\u00e7lan\u0131r ve regresyon sonu\u00e7lar\u0131n\u0131n yorumlanmas\u0131n\u0131 zorla\u015ft\u0131rabilir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Potansiyel bir \u00e7oklu ba\u011flant\u0131 sorununu tespit etmenin en basit yollar\u0131ndan biri, bir korelasyon matrisine bakmak ve de\u011fi\u015fkenlerden herhangi birinin birbiriyle y\u00fcksek d\u00fczeyde korelasyona sahip olup olmad\u0131\u011f\u0131n\u0131 g\u00f6rsel olarak kontrol etmektir.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>3. Korelasyon matrisi di\u011fer analizlere girdi olarak kullan\u0131labilir.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u00e7\u0131mlay\u0131c\u0131 fakt\u00f6r analizi ve yap\u0131sal e\u015fitlik modelleri gibi di\u011fer karma\u015f\u0131k analizler i\u00e7in girdi olarak bir korelasyon matrisi kullan\u0131l\u0131r.<\/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 \u00e7e\u015fitli istatistiksel yaz\u0131l\u0131mlar kullan\u0131larak bir korelasyon matrisinin nas\u0131l olu\u015fturulaca\u011f\u0131 a\u00e7\u0131klanmaktad\u0131r:<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/tr\/excel-korelasyon-matrisi\/\" target=\"_blank\" rel=\"noopener noreferrer\">Excel&#8217;de Korelasyon Matrisi Nas\u0131l Olu\u015fturulur<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/spss-korelasyon-matrisi\/\" target=\"_blank\" rel=\"noopener noreferrer\">SPSS&#8217;de Korelasyon Matrisi Nas\u0131l Olu\u015fturulur<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/istatistik-korelasyon-matrisi\/\" target=\"_blank\" rel=\"noopener noreferrer\">Stata&#8217;da korelasyon matrisi nas\u0131l olu\u015fturulur<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/piton-korelasyon-matrisi\/\">Python&#8217;da Korelasyon Matrisi Nas\u0131l Olu\u015fturulur<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0130statistikte s\u0131kl\u0131kla iki de\u011fi\u015fken aras\u0131ndaki ili\u015fkiyi anlamaya \u00e7al\u0131\u015f\u0131r\u0131z. \u00d6rne\u011fin bir \u00f6\u011frencinin ders \u00e7al\u0131\u015ft\u0131\u011f\u0131 saat ile s\u0131navda ald\u0131\u011f\u0131 not aras\u0131ndaki ili\u015fkiyi anlamak isteyebiliriz. Bu 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 . -1 ile 1 aras\u0131nda bir de\u011fere sahiptir; burada: -1, iki de\u011fi\u015fken aras\u0131nda tamamen negatif bir [&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-564","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 matrisi nas\u0131l okunur - Statorials<\/title>\n<meta name=\"description\" content=\"Korelasyon matrisinin nas\u0131l okunaca\u011f\u0131na dair basit bir a\u00e7\u0131klama ve birka\u00e7 \u00f6rnek.\" \/>\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\/korelasyon-matrisi-nasil-okunur\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Korelasyon matrisi nas\u0131l okunur - 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