{"id":559,"date":"2023-07-29T12:27:42","date_gmt":"2023-07-29T12:27:42","guid":{"rendered":"https:\/\/statorials.org\/tr\/guclu-bir-korelasyon-nedir\/"},"modified":"2023-07-29T12:27:42","modified_gmt":"2023-07-29T12:27:42","slug":"guclu-bir-korelasyon-nedir","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/guclu-bir-korelasyon-nedir\/","title":{"rendered":"\u201cg\u00fc\u00e7l\u00fc\u201d say\u0131lanlar; korelasyon?"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u0130statistikte s\u0131kl\u0131kla iki de\u011fi\u015fkenin birbiriyle nas\u0131l ili\u015fkili oldu\u011funu anlamaya \u00e7al\u0131\u015f\u0131r\u0131z. \u00d6rne\u011fin \u015funu bilmek isteyebiliriz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Bir \u00f6\u011frencinin ders \u00e7al\u0131\u015ft\u0131\u011f\u0131 saat say\u0131s\u0131 ile s\u0131navda ald\u0131\u011f\u0131 not aras\u0131ndaki ili\u015fki nedir?<\/span><\/li>\n<li> <span style=\"color: #000000;\">D\u0131\u015f s\u0131cakl\u0131k ile bir yiyecek kamyonunda sat\u0131lan dondurma k\u00fclahlar\u0131n\u0131n say\u0131s\u0131 aras\u0131ndaki ili\u015fki nedir?<\/span><\/li>\n<li> <span style=\"color: #000000;\">Belirli bir i\u015fletme i\u00e7in pazarlamaya harcanan dolar ile kazan\u0131lan toplam gelir aras\u0131ndaki ili\u015fki nedir?<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Bu senaryolar\u0131n her birinde iki farkl\u0131 de\u011fi\u015fken aras\u0131ndaki ili\u015fkiyi anlamaya \u00e7al\u0131\u015f\u0131yoruz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0130statistikte, iki de\u011fi\u015fken aras\u0131ndaki ili\u015fkiyi \u00f6l\u00e7menin en yayg\u0131n yollar\u0131ndan biri, 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\">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;\">\u00c7o\u011funlukla <em>r<\/em> olarak g\u00f6sterilen bu say\u0131, iki de\u011fi\u015fken aras\u0131ndaki ili\u015fkinin g\u00fcc\u00fcn\u00fc anlamam\u0131za yard\u0131mc\u0131 olur. <strong><em>R<\/em> s\u0131f\u0131rdan ne kadar uzaksa, iki de\u011fi\u015fken aras\u0131ndaki ili\u015fki o kadar g\u00fc\u00e7l\u00fcd\u00fcr<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0130ki de\u011fi\u015fkenin g\u00fc\u00e7l\u00fc bir <i>pozitif<\/i> korelasyona veya g\u00fc\u00e7l\u00fc bir <em>negatif<\/em> korelasyona sahip olabilece\u011fini not etmek \u00f6nemlidir.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>G\u00fc\u00e7l\u00fc pozitif korelasyon:<\/strong> Bir de\u011fi\u015fkenin de\u011feri artt\u0131\u011f\u0131nda di\u011fer de\u011fi\u015fkenin de\u011feri de ayn\u0131 \u015fekilde artar. \u00d6rne\u011fin, bir \u00f6\u011frenci ders \u00e7al\u0131\u015fmaya ne kadar \u00e7ok saat ay\u0131r\u0131rsa s\u0131nav puan\u0131 da o kadar y\u00fcksek olur. \u00c7al\u0131\u015f\u0131lan saatler ve s\u0131nav puanlar\u0131 g\u00fc\u00e7l\u00fc bir pozitif korelasyona sahiptir.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>G\u00fc\u00e7l\u00fc negatif korelasyon:<\/strong> Bir de\u011fi\u015fkenin de\u011feri artt\u0131\u011f\u0131nda di\u011fer de\u011fi\u015fkenin de\u011feri d\u00fc\u015fme e\u011filimindedir. \u00d6rne\u011fin, bir tavuk ya\u015fland\u0131k\u00e7a daha az yumurta \u00fcretme e\u011filimi g\u00f6sterir. Tavuk ya\u015f\u0131 ile yumurta \u00fcretimi aras\u0131nda g\u00fc\u00e7l\u00fc bir negatif korelasyon vard\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki tablo, <em>r<\/em> de\u011ferine ba\u011fl\u0131 olarak iki de\u011fi\u015fken aras\u0131ndaki ili\u015fkinin g\u00fcc\u00fcn\u00fc yorumlamak i\u00e7in temel kural\u0131 g\u00f6stermektedir:<\/span><\/p>\n<table>\n<tbody>\n<tr>\n<th> <strong><span style=\"color: #000000;\"><em>r&#8217;nin<\/em> mutlak de\u011feri<\/span><\/strong><\/th>\n<th> <strong><span style=\"color: #000000;\">\u0130li\u015fkinin g\u00fcc\u00fc<\/span><\/strong><\/th>\n<\/tr>\n<tr>\n<td> <span style=\"color: #000000;\">r &lt; 0,25<\/span><\/td>\n<td> <span style=\"color: #000000;\">\u0130li\u015fki yok<\/span><\/td>\n<\/tr>\n<tr>\n<td> <span style=\"color: #000000;\">0,25 &lt; r &lt; 0,5<\/span><\/td>\n<td> <span style=\"color: #000000;\">Zay\u0131f ili\u015fki<\/span><\/td>\n<\/tr>\n<tr>\n<td> <span style=\"color: #000000;\">0,5 &lt; r &lt; 0,75<\/span><\/td>\n<td> <span style=\"color: #000000;\">Orta d\u00fczeyde ili\u015fkiler<\/span><\/td>\n<\/tr>\n<tr>\n<td> <span style=\"color: #000000;\">r &gt; 0,75<\/span><\/td>\n<td> <span style=\"color: #000000;\">G\u00fc\u00e7l\u00fc ili\u015fkiler<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p> <span style=\"color: #000000;\"><em>r&#8217;nin<\/em> mutlak de\u011feri <strong>0,75&#8217;ten<\/strong> b\u00fcy\u00fckse iki de\u011fi\u015fken aras\u0131ndaki korelasyonun g\u00fc\u00e7l\u00fc oldu\u011fu kabul edilir.<\/span> <span style=\"color: #000000;\">Ancak \u201cg\u00fc\u00e7l\u00fc\u201d bir korelasyonun tan\u0131m\u0131 bir alandan di\u011ferine farkl\u0131l\u0131k g\u00f6sterebilir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>T\u0131bbi<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin t\u0131p alanlar\u0131nda \u201cg\u00fc\u00e7l\u00fc\u201d ili\u015fkinin tan\u0131m\u0131 genellikle \u00e7ok daha d\u00fc\u015f\u00fckt\u00fcr. Belirli bir ilac\u0131 almakla kalp krizini azaltmak aras\u0131ndaki ili\u015fki <em>r<\/em> = <strong>0,3 ise,<\/strong> bu di\u011fer alanlarda &#8220;zay\u0131f pozitif&#8221; bir ili\u015fki olarak kabul edilebilir, ancak t\u0131pta bu, kalp krizi olas\u0131l\u0131\u011f\u0131n\u0131 azaltmak i\u00e7in ilac\u0131 almaya de\u011fer olacak kadar \u00f6nemlidir. kalp krizi ge\u00e7irmek.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u0130nsan kaynaklar\u0131<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u0130nsan kaynaklar\u0131 gibi ba\u015fka bir alanda da daha d\u00fc\u015f\u00fck korelasyonlar daha s\u0131k kullan\u0131labilir. \u00d6rne\u011fin, \u00fcniversite notlar\u0131 ile i\u015f performans\u0131 aras\u0131ndaki korelasyonun yakla\u015f\u0131k olarak <em>r<\/em> = <strong>0,16<\/strong> oldu\u011fu g\u00f6sterilmi\u015ftir. Bu olduk\u00e7a d\u00fc\u015f\u00fck ancak bir \u015firketin en az\u0131ndan g\u00f6r\u00fc\u015fme s\u00fcrecinde bunu dikkate almas\u0131 yeterince \u00f6nemli.<\/span><\/p>\n<h3> <strong><span style=\"color: #000000;\">Teknoloji<\/span><\/strong><\/h3>\n<p> <span style=\"color: #000000;\">Ve teknoloji gibi bir alanda de\u011fi\u015fkenler aras\u0131ndaki korelasyonun baz\u0131 durumlarda &#8220;g\u00fc\u00e7l\u00fc&#8221; olarak de\u011ferlendirilmesi i\u00e7in \u00e7ok daha y\u00fcksek olmas\u0131 gerekebilir. \u00d6rne\u011fin, bir \u015firket s\u00fcr\u00fcc\u00fcs\u00fcz bir araba yarat\u0131yorsa ve araban\u0131n d\u00f6n\u00fc\u015f kararlar\u0131 ile kaza yapma olas\u0131l\u0131\u011f\u0131 aras\u0131ndaki korelasyon <em>r<\/em> = <strong>0,95<\/strong> ise, bu muhtemelen araban\u0131n g\u00fcvenli kabul edilmesi i\u00e7in \u00e7ok d\u00fc\u015f\u00fckt\u00fcr. s\u00fcr\u00fcc\u00fcs\u00fcz araba r = 0,95&#8217;tir. K\u00f6t\u00fc bir karar \u00f6l\u00fcmc\u00fcl olabilir.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Korelasyonlar\u0131 g\u00f6r\u00fcnt\u00fcle<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">Hangi alanda \u00e7al\u0131\u015f\u0131rsan\u0131z \u00e7al\u0131\u015f\u0131n, \u00e7al\u0131\u015ft\u0131\u011f\u0131n\u0131z iki de\u011fi\u015fkenin da\u011f\u0131l\u0131m grafi\u011fini olu\u015fturmak yararl\u0131 olacakt\u0131r, b\u00f6ylece en az\u0131ndan aralar\u0131ndaki ili\u015fkiyi g\u00f6rsel olarak inceleyebilirsiniz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, 12 ki\u015finin boy ve kilosunu g\u00f6steren a\u015fa\u011f\u0131daki veri setine sahip oldu\u011fumuzu varsayal\u0131m:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-4986 size-full\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/correlationexemple2.jpg\" alt=\"\" width=\"193\" height=\"266\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Sadece ham verilere bakarak bu iki de\u011fi\u015fken aras\u0131ndaki ili\u015fkiyi anlamak biraz zor. Ancak x ekseninde y\u00fckseklik, y ekseninde a\u011f\u0131rl\u0131k i\u00e7eren bir da\u011f\u0131l\u0131m grafi\u011fi olu\u015fturursak ili\u015fkiyi anlamak \u00e7ok daha kolay olur:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-1547 size-full\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/correl15.jpg\" alt=\"\" width=\"461\" height=\"335\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">\u0130ki de\u011fi\u015fken aras\u0131nda a\u00e7\u0131k\u00e7a pozitif bir ili\u015fki vard\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Nokta bulutu olu\u015fturmak iki nedenden dolay\u0131 iyi bir fikirdir:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>(1) Da\u011f\u0131l\u0131m grafi\u011fi, korelasyonu etkileyen ayk\u0131r\u0131 de\u011ferleri tan\u0131mlaman\u0131za olanak tan\u0131r.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015f\u0131r\u0131 u\u00e7 de\u011ferler Pearson korelasyon katsay\u0131s\u0131n\u0131 \u00f6nemli \u00f6l\u00e7\u00fcde de\u011fi\u015ftirebilir. <em>X<\/em> ve <em>Y<\/em> de\u011fi\u015fkenlerinin Pearson korelasyon katsay\u0131s\u0131n\u0131n <em>r<\/em> = <strong>0,00<\/strong> oldu\u011fu a\u015fa\u011f\u0131daki \u00f6rne\u011fi d\u00fc\u015f\u00fcn\u00fcn.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-1539 size-full\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/correl9.jpg\" alt=\"\" width=\"454\" height=\"306\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Ancak \u015fimdi veri k\u00fcmesinde bir ayk\u0131r\u0131 de\u011ferin oldu\u011funu hayal edin:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-1540 size-full\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/correl10.jpg\" alt=\"\" width=\"456\" height=\"305\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Bu ayk\u0131r\u0131 de\u011fer korelasyonun <em>r<\/em> = <strong>0,878<\/strong> olmas\u0131na neden olur. Bu tek veri noktas\u0131, korelasyonu tamamen de\u011fi\u015ftirir ve <em>X<\/em> ve <em>Y<\/em> de\u011fi\u015fkenleri aras\u0131nda ger\u00e7ekte olmad\u0131\u011f\u0131 halde g\u00fc\u00e7l\u00fc bir ili\u015fki varm\u0131\u015f gibi g\u00f6r\u00fcnmesini sa\u011flar.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>(2) Da\u011f\u0131l\u0131m grafi\u011fi, de\u011fi\u015fkenler aras\u0131ndaki do\u011frusal olmayan ili\u015fkileri tan\u0131mlaman\u0131za yard\u0131mc\u0131 olabilir.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Pearson korelasyon katsay\u0131s\u0131 bize basit\u00e7e iki de\u011fi\u015fkenin <em>do\u011frusal olarak<\/em> ili\u015fkili olup olmad\u0131\u011f\u0131n\u0131 s\u00f6yler. Ancak Pearson korelasyon katsay\u0131s\u0131 bize iki de\u011fi\u015fkenin ili\u015fkili olmad\u0131\u011f\u0131n\u0131 s\u00f6ylese bile, yine de bir t\u00fcr do\u011frusal olmayan ili\u015fkiye sahip olabilirler. Bu, bir da\u011f\u0131l\u0131m grafi\u011fi olu\u015fturman\u0131n yararl\u0131 olmas\u0131n\u0131n ba\u015fka bir nedenidir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, korelasyonlar\u0131n\u0131n <em>r<\/em> = <strong>0,00<\/strong> oldu\u011fu <em>X<\/em> ve <em>Y<\/em> de\u011fi\u015fkenleri aras\u0131ndaki a\u015fa\u011f\u0131daki da\u011f\u0131l\u0131m grafi\u011fini d\u00fc\u015f\u00fcn\u00fcn.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-1541 size-full\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/correl11.jpg\" alt=\"\" width=\"448\" height=\"307\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">De\u011fi\u015fkenlerin a\u00e7\u0131k\u00e7a do\u011frusal bir ili\u015fkisi yoktur, ancak do\u011frusal olmayan bir ili\u015fkileri <em>vard\u0131r<\/em> : y de\u011ferleri basit\u00e7e x de\u011ferlerinin karesidir. Bir korelasyon katsay\u0131s\u0131 tek ba\u015f\u0131na bu ili\u015fkiyi tespit edemez, ancak bir da\u011f\u0131l\u0131m grafi\u011fi bunu tespit edebilir.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>\u00c7\u00f6z\u00fcm<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">\u00d6zetle:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Genellikle 0,75&#8217;ten b\u00fcy\u00fck bir korelasyon, iki de\u011fi\u015fken aras\u0131nda &#8220;g\u00fc\u00e7l\u00fc&#8221; bir korelasyon olarak kabul edilir.<\/span><\/li>\n<li> <span style=\"color: #000000;\">Ancak bu temel kural b\u00f6lgeden b\u00f6lgeye de\u011fi\u015febilir. \u00d6rne\u011fin, t\u0131bbi bir alanda teknolojik bir alanla kar\u015f\u0131la\u015ft\u0131r\u0131ld\u0131\u011f\u0131nda \u00e7ok daha zay\u0131f bir korelasyonun g\u00fc\u00e7l\u00fc oldu\u011fu d\u00fc\u015f\u00fcn\u00fclebilir. Neyin g\u00fc\u00e7l\u00fc oldu\u011funa karar vermek i\u00e7in alana \u00f6zg\u00fc uzmanl\u0131\u011f\u0131 kullanmak en iyisidir.<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u0130ki de\u011fi\u015fken aras\u0131ndaki ili\u015fkiyi tan\u0131mlamak i\u00e7in korelasyon kullan\u0131ld\u0131\u011f\u0131nda, veri k\u00fcmesindeki ayk\u0131r\u0131 de\u011ferlerin yan\u0131 s\u0131ra potansiyel do\u011frusal olmayan ili\u015fkiyi tan\u0131mlayabilmeniz i\u00e7in bir da\u011f\u0131l\u0131m grafi\u011fi olu\u015fturmak da yararl\u0131 olacakt\u0131r.<\/span><\/li>\n<\/ul>\n<h3> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h3>\n<p> <a href=\"https:\/\/statorials.org\/tr\" target=\"_blank\" rel=\"noopener\">Ne &#8220;zay\u0131f&#8221; korelasyon olarak kabul edilir?<\/a><br \/> Korelasyon Matrisi Hesaplay\u0131c\u0131<br \/><a href=\"https:\/\/statorials.org\/tr\/korelasyon-matrisi-nasil-okunur\/\" target=\"_blank\" rel=\"noopener\">Korelasyon matrisi nas\u0131l okunur<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0130statistikte s\u0131kl\u0131kla iki de\u011fi\u015fkenin birbiriyle nas\u0131l ili\u015fkili oldu\u011funu anlamaya \u00e7al\u0131\u015f\u0131r\u0131z. \u00d6rne\u011fin \u015funu bilmek isteyebiliriz: Bir \u00f6\u011frencinin ders \u00e7al\u0131\u015ft\u0131\u011f\u0131 saat say\u0131s\u0131 ile s\u0131navda ald\u0131\u011f\u0131 not aras\u0131ndaki ili\u015fki nedir? D\u0131\u015f s\u0131cakl\u0131k ile bir yiyecek kamyonunda sat\u0131lan dondurma k\u00fclahlar\u0131n\u0131n say\u0131s\u0131 aras\u0131ndaki ili\u015fki nedir? Belirli bir i\u015fletme i\u00e7in pazarlamaya harcanan dolar ile kazan\u0131lan toplam gelir aras\u0131ndaki ili\u015fki nedir? Bu [&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-559","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>\u201cG\u00fc\u00e7l\u00fc\u201d bir korelasyon olarak kabul edilen \u015fey nedir? - Statorials<\/title>\n<meta name=\"description\" content=\"\u0130ki de\u011fi\u015fken aras\u0131nda &quot;g\u00fc\u00e7l\u00fc&quot; bir korelasyon olarak kabul edilen \u015feyin basit bir a\u00e7\u0131klamas\u0131 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\/guclu-bir-korelasyon-nedir\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u201cG\u00fc\u00e7l\u00fc\u201d bir korelasyon olarak kabul edilen \u015fey nedir? 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