{"id":463,"date":"2023-07-29T20:10:11","date_gmt":"2023-07-29T20:10:11","guid":{"rendered":"https:\/\/statorials.org\/tr\/coklu-baglanti-regresyonu\/"},"modified":"2023-07-29T20:10:11","modified_gmt":"2023-07-29T20:10:11","slug":"coklu-baglanti-regresyonu","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/coklu-baglanti-regresyonu\/","title":{"rendered":"Regresyonda \u00e7oklu ba\u011flant\u0131 ve vif k\u0131lavuzu"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">Regresyon analizinde <strong>\u00e7oklu do\u011frusall\u0131k,<\/strong> iki veya daha fazla yorday\u0131c\u0131 de\u011fi\u015fkenin regresyon modelinde benzersiz veya ba\u011f\u0131ms\u0131z bilgi sa\u011flamayacak \u015fekilde birbiriyle y\u00fcksek d\u00fczeyde korelasyona sahip olmas\u0131 durumunda ortaya \u00e7\u0131kar.<\/span><\/p>\n<p> <span style=\"color: #000000;\">De\u011fi\u015fkenler aras\u0131ndaki korelasyon derecesi yeterince y\u00fcksekse, bu durum regresyon modelinin yerle\u015ftirilmesinde ve yorumlanmas\u0131nda sorunlara neden olabilir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, <em>maksimum dikey s\u0131\u00e7rama<\/em> <a href=\"https:\/\/statorials.org\/tr\/degiskenleri-aciklayici-yanitlar\/\" target=\"_blank\" rel=\"noopener noreferrer\">tepkisi de\u011fi\u015fkenini<\/a> ve a\u015fa\u011f\u0131daki tahmin de\u011fi\u015fkenlerini kullanarak bir regresyon analizi y\u00fcr\u00fctt\u00fc\u011f\u00fcn\u00fcz\u00fc varsayal\u0131m:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">y\u00fckseklik<\/span><\/li>\n<li> <span style=\"color: #000000;\">ayakkab\u0131 numaras\u0131<\/span><\/li>\n<li> <span style=\"color: #000000;\">g\u00fcnde pratik yapmak i\u00e7in harcanan saatler<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Bu durumda, uzun boylu insanlar daha b\u00fcy\u00fck ayakkab\u0131 numaralar\u0131na sahip olma e\u011filiminde oldu\u011fundan, <em>boy<\/em> ve <em>ayakkab\u0131 numaras\u0131<\/em> muhtemelen y\u00fcksek oranda ili\u015fkilidir. Bu, \u00e7oklu do\u011frusall\u0131\u011f\u0131n bu regresyonda bir sorun olabilece\u011fi anlam\u0131na gelir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu e\u011fitimde \u00e7oklu ba\u011flant\u0131n\u0131n neden bir sorun oldu\u011fu, nas\u0131l tespit edilece\u011fi ve nas\u0131l d\u00fczeltilece\u011fi a\u00e7\u0131klanmaktad\u0131r.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>\u00c7oklu do\u011frusall\u0131k neden bir sorundur?<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">Regresyon analizinin temel ama\u00e7lar\u0131ndan biri, her yorday\u0131c\u0131 de\u011fi\u015fken ile yan\u0131t de\u011fi\u015fkeni aras\u0131ndaki ili\u015fkiyi izole etmektir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6zellikle regresyon analizi yapt\u0131\u011f\u0131m\u0131zda, <em>modeldeki di\u011fer t\u00fcm yorday\u0131c\u0131 de\u011fi\u015fkenlerin sabit kald\u0131\u011f\u0131n\u0131 varsayarak her bir regresyon katsay\u0131s\u0131n\u0131 yan\u0131t de\u011fi\u015fkenindeki ortalama de\u011fi\u015fim olarak yorumluyoruz.<\/em><\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu, belirli bir yorday\u0131c\u0131 de\u011fi\u015fkenin de\u011ferlerini, di\u011fer yorday\u0131c\u0131 de\u011fi\u015fkenlerin de\u011ferlerini de\u011fi\u015ftirmeden de\u011fi\u015ftirebildi\u011fimizi varsayd\u0131\u011f\u0131m\u0131z anlam\u0131na gelir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bununla birlikte, iki veya daha fazla yorday\u0131c\u0131 de\u011fi\u015fken y\u00fcksek d\u00fczeyde korelasyona sahip oldu\u011funda, bir de\u011fi\u015fkeni de\u011fi\u015ftirmeden di\u011ferini de\u011fi\u015ftirmek zorla\u015f\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu, regresyon modelinin her bir yorday\u0131c\u0131 de\u011fi\u015fken ile yan\u0131t de\u011fi\u015fkeni aras\u0131ndaki ili\u015fkiyi ba\u011f\u0131ms\u0131z olarak tahmin etmesini zorla\u015ft\u0131r\u0131r, \u00e7\u00fcnk\u00fc yorday\u0131c\u0131 de\u011fi\u015fkenler birlikte de\u011fi\u015fme e\u011filimindedir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00c7oklu do\u011frusall\u0131k genel olarak iki t\u00fcr soruna yol a\u00e7ar:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Modelin katsay\u0131 tahminleri (ve hatta katsay\u0131lar\u0131n i\u015faretleri), modele dahil edilen di\u011fer yorday\u0131c\u0131 de\u011fi\u015fkenlere ba\u011fl\u0131 olarak \u00f6nemli \u00f6l\u00e7\u00fcde dalgalanabilmektedir.<\/span><\/li>\n<li> <span style=\"color: #000000;\">Katsay\u0131 tahminlerinin kesinli\u011fi azalarak p de\u011ferleri g\u00fcvenilmez hale gelir. Bu, hangi yorday\u0131c\u0131 de\u011fi\u015fkenlerin ger\u00e7ekten istatistiksel olarak anlaml\u0131 oldu\u011funu belirlemeyi zorla\u015ft\u0131r\u0131r.<\/span><\/li>\n<\/ul>\n<h2> <strong><span style=\"color: #000000;\">\u00c7oklu ba\u011flant\u0131 nas\u0131l tespit edilir<\/span><\/strong><\/h2>\n<p> <span style=\"color: #000000;\">\u00c7oklu do\u011frusall\u0131\u011f\u0131 tespit etmenin en yayg\u0131n yolu, bir regresyon modelinde yorday\u0131c\u0131 de\u011fi\u015fkenler aras\u0131ndaki korelasyonu ve korelasyonun g\u00fcc\u00fcn\u00fc \u00f6l\u00e7en <strong>varyans enflasyon fakt\u00f6r\u00fcn\u00fc (VIF)<\/strong> kullanmakt\u0131r.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Varyans Enflasyon Fakt\u00f6r\u00fcn\u00fcn (VIF) Kullan\u0131lmas\u0131<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u00c7o\u011fu istatistiksel yaz\u0131l\u0131m, bir regresyon modeli i\u00e7in VIF&#8217;yi hesaplama yetene\u011fine sahiptir. VIF de\u011feri 1&#8217;den ba\u015flar ve \u00fcst s\u0131n\u0131r\u0131 yoktur. VIF&#8217;leri yorumlaman\u0131n genel kural\u0131 \u015fudur:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">1 de\u011feri, belirli bir yorday\u0131c\u0131 de\u011fi\u015fken ile modeldeki di\u011fer yorday\u0131c\u0131 de\u011fi\u015fkenler aras\u0131nda bir korelasyon olmad\u0131\u011f\u0131n\u0131 g\u00f6sterir.<\/span><\/li>\n<li> <span style=\"color: #000000;\">1 ile 5 aras\u0131ndaki bir de\u011fer, belirli bir yorday\u0131c\u0131 de\u011fi\u015fken ile modeldeki di\u011fer yorday\u0131c\u0131 de\u011fi\u015fkenler aras\u0131nda orta d\u00fczeyde bir korelasyon oldu\u011funu g\u00f6sterir, ancak bu genellikle \u00f6zel dikkat gerektirecek kadar ciddi de\u011fildir.<\/span><\/li>\n<li> <span style=\"color: #000000;\">5&#8217;ten b\u00fcy\u00fck bir de\u011fer, belirli bir yorday\u0131c\u0131 de\u011fi\u015fken ile modeldeki di\u011fer yorday\u0131c\u0131 de\u011fi\u015fkenler aras\u0131nda potansiyel olarak ciddi bir korelasyon oldu\u011funu g\u00f6sterir. Bu durumda regresyon sonu\u00e7lar\u0131ndaki katsay\u0131 tahminleri ve p de\u011ferleri muhtemelen g\u00fcvenilmez olacakt\u0131r.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, basketbolcular\u0131n <em>maksimum dikey s\u0131\u00e7ramas\u0131n\u0131<\/em> tahmin etmek i\u00e7in <em>boy<\/em> , <em>ayakkab\u0131 numaras\u0131<\/em> ve <em>g\u00fcnl\u00fck antrenmanda harcanan saat gibi<\/em> belirleyici de\u011fi\u015fkenleri kullanarak bir regresyon analizi yapt\u0131\u011f\u0131m\u0131z\u0131 ve a\u015fa\u011f\u0131daki sonucu ald\u0131\u011f\u0131m\u0131z\u0131 varsayal\u0131m:<\/span><\/p>\n<p> <span style=\"color: #000000;\">Son s\u00fctunda, <em>boy<\/em> ve <em>ayakkab\u0131 numaras\u0131na<\/em> ili\u015fkin VIF de\u011ferlerinin her ikisinin de 5&#8217;ten b\u00fcy\u00fck oldu\u011funu g\u00f6rebiliriz. Bu, muhtemelen \u00e7oklu do\u011frusall\u0131ktan muzdarip olduklar\u0131n\u0131 ve katsay\u0131 tahminleri ile p de\u011ferlerinin muhtemelen g\u00fcvenilmez oldu\u011funu g\u00f6sterir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ayakkab\u0131 numaras\u0131na ili\u015fkin katsay\u0131 tahminine bakarsak, model bize ayakkab\u0131 numaras\u0131ndaki her ilave birim art\u0131\u015f i\u00e7in <em>maksimum dikey s\u0131\u00e7ramadaki<\/em> ortalama art\u0131\u015f\u0131n -0,67498 in\u00e7 oldu\u011funu, boy ve antrenman saatlerinin sabit kald\u0131\u011f\u0131n\u0131 varsayarak s\u00f6yler.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Daha b\u00fcy\u00fck ayakkab\u0131lar\u0131 olan oyuncular\u0131n daha uzun olmas\u0131n\u0131 ve dolay\u0131s\u0131yla daha y\u00fcksek bir maksimum dikey s\u0131\u00e7ramaya sahip olmalar\u0131n\u0131 bekledi\u011fimiz g\u00f6z \u00f6n\u00fcne al\u0131nd\u0131\u011f\u0131nda, bu pek mant\u0131kl\u0131 g\u00f6r\u00fcnm\u00fcyor.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu, katsay\u0131 tahminlerinin biraz uzak ve sezgisel olmayan g\u00f6r\u00fcnmesine neden olan klasik bir \u00e7oklu ba\u011flant\u0131 \u00f6rne\u011fidir.<\/span><\/p>\n<h2> <strong><span style=\"color: #000000;\">\u00c7oklu ba\u011flant\u0131 nas\u0131l \u00e7\u00f6z\u00fcl\u00fcr?<\/span><\/strong><\/h2>\n<p> <span style=\"color: #000000;\">\u00c7oklu ba\u011flant\u0131 tespit ederseniz bir sonraki ad\u0131m, bunu bir \u015fekilde \u00e7\u00f6zmeniz gerekip gerekmedi\u011fine karar vermektir. Regresyon analizinizin amac\u0131na ba\u011fl\u0131 olarak \u00e7oklu do\u011frusall\u0131\u011f\u0131 \u00e7\u00f6zmeniz gerekmeyebilir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bilmek:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>1.<\/strong> Yaln\u0131zca orta d\u00fczeyde \u00e7oklu ba\u011flant\u0131 varsa, muhtemelen bunu herhangi bir \u015fekilde \u00e7\u00f6zmenize gerek kalmayacakt\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>2.<\/strong> \u00c7oklu do\u011frusall\u0131k yaln\u0131zca birbiriyle ili\u015fkili yorday\u0131c\u0131 de\u011fi\u015fkenleri etkiler. Modelde \u00e7oklu ba\u011flant\u0131 sorunu olmayan bir yorday\u0131c\u0131 de\u011fi\u015fkenle ilgileniyorsan\u0131z, o zaman \u00e7oklu ba\u011flant\u0131 sorun de\u011fildir.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>3.<\/strong> \u00c7oklu ba\u011flant\u0131, katsay\u0131 tahminlerini ve p de\u011ferlerini etkiler, ancak tahminleri veya uyum iyili\u011fi istatistiklerini etkilemez. Bu, regresyondaki birincil amac\u0131n\u0131z tahminlerde bulunmaksa ve yorday\u0131c\u0131 de\u011fi\u015fkenler ile yan\u0131t de\u011fi\u015fkeni aras\u0131ndaki kesin ili\u015fkiyi anlamakla ilgilenmiyorsan\u0131z, \u00e7oklu ba\u011flant\u0131n\u0131n \u00e7\u00f6z\u00fclmesine gerek olmad\u0131\u011f\u0131 anlam\u0131na gelir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00c7oklu do\u011frusall\u0131\u011f\u0131 d\u00fczeltmeniz <em>gerekti\u011fine<\/em> karar verirseniz baz\u0131 yayg\u0131n \u00e7\u00f6z\u00fcmler \u015funlard\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>1. Y\u00fcksek derecede ili\u015fkili de\u011fi\u015fkenlerden bir veya daha fazlas\u0131n\u0131 kald\u0131r\u0131n.<\/strong> Bu \u00e7o\u011fu durumda en h\u0131zl\u0131 \u00e7\u00f6z\u00fcmd\u00fcr ve genellikle kabul edilebilir bir \u00e7\u00f6z\u00fcmd\u00fcr \u00e7\u00fcnk\u00fc kald\u0131rd\u0131\u011f\u0131n\u0131z de\u011fi\u015fkenler zaten gereksizdir ve modele \u00e7ok az benzersiz veya ba\u011f\u0131ms\u0131z bilgi katar.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>2. Yorday\u0131c\u0131 de\u011fi\u015fkenleri bir \u015fekilde toplama veya \u00e7\u0131karma gibi do\u011frusal bir \u015fekilde birle\u015ftirir.<\/strong> Bunu yaparak, her iki de\u011fi\u015fkenden gelen bilgileri kapsayan yeni bir de\u011fi\u015fken olu\u015fturabilir ve art\u0131k \u00e7oklu ba\u011flant\u0131 sorunu ya\u015famazs\u0131n\u0131z.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>3. <a href=\"https:\/\/statorials.org\/tr\/rde-temel-bilesen-analizi\/\" target=\"_blank\" rel=\"noopener noreferrer\">Temel bile\u015fen analizi<\/a> veya <a href=\"https:\/\/statorials.org\/tr\/kismi-en-kucuk-kareler\/\" target=\"_blank\" rel=\"noopener noreferrer\">k\u0131smi en k\u00fc\u00e7\u00fck kareler (PLS) regresyonu<\/a> gibi y\u00fcksek korelasyonlu de\u011fi\u015fkenleri hesaba katacak \u015fekilde tasarlanm\u0131\u015f bir analiz ger\u00e7ekle\u015ftirin.<\/strong> Bu teknikler \u00f6zellikle y\u00fcksek derecede ili\u015fkili \u00f6ng\u00f6r\u00fcc\u00fc de\u011fi\u015fkenleri ele almak i\u00e7in tasarlanm\u0131\u015ft\u0131r.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Regresyon analizinde \u00e7oklu do\u011frusall\u0131k, iki veya daha fazla yorday\u0131c\u0131 de\u011fi\u015fkenin regresyon modelinde benzersiz veya ba\u011f\u0131ms\u0131z bilgi sa\u011flamayacak \u015fekilde birbiriyle y\u00fcksek d\u00fczeyde korelasyona sahip olmas\u0131 durumunda ortaya \u00e7\u0131kar. De\u011fi\u015fkenler aras\u0131ndaki korelasyon derecesi yeterince y\u00fcksekse, bu durum regresyon modelinin yerle\u015ftirilmesinde ve yorumlanmas\u0131nda sorunlara neden olabilir. \u00d6rne\u011fin, maksimum dikey s\u0131\u00e7rama tepkisi de\u011fi\u015fkenini ve a\u015fa\u011f\u0131daki tahmin de\u011fi\u015fkenlerini kullanarak 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-463","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>Regresyonda \u00c7oklu Ba\u011flant\u0131 ve VIF K\u0131lavuzu - Statorials<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde \u00e7oklu ba\u011flant\u0131n\u0131n regresyon analizinde neden bir sorun oldu\u011fu, nas\u0131l tespit edilece\u011fi ve nas\u0131l \u00e7\u00f6z\u00fclece\u011fi 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\" href=\"https:\/\/statorials.org\/tr\/coklu-baglanti-regresyonu\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Regresyonda \u00c7oklu Ba\u011flant\u0131 ve VIF K\u0131lavuzu - 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