{"id":642,"date":"2023-07-29T06:00:49","date_gmt":"2023-07-29T06:00:49","guid":{"rendered":"https:\/\/statorials.org\/tr\/coklu-baglanti-istatistikleri\/"},"modified":"2023-07-29T06:00:49","modified_gmt":"2023-07-29T06:00:49","slug":"coklu-baglanti-istatistikleri","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/coklu-baglanti-istatistikleri\/","title":{"rendered":"Stata&#39;da \u00e7oklu ba\u011flant\u0131 nas\u0131l test edilir"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">Regresyon analizinde <a href=\"https:\/\/statorials.org\/tr\/coklu-baglanti-regresyonu\/\" target=\"_blank\" rel=\"noopener\"><strong>\u00e7oklu ba\u011flant\u0131,<\/strong><\/a> iki veya daha fazla a\u00e7\u0131klay\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.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, a\u015fa\u011f\u0131daki de\u011fi\u015fkenlerle \u00e7oklu do\u011frusal regresyon \u00e7al\u0131\u015ft\u0131rd\u0131\u011f\u0131n\u0131z\u0131 varsayal\u0131m:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>De\u011fi\u015fken yan\u0131t:<\/strong> maksimum dikey s\u0131\u00e7rama<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>A\u00e7\u0131klay\u0131c\u0131 de\u011fi\u015fkenler:<\/strong> ayakkab\u0131 numaras\u0131, boy, pratik yapmak i\u00e7in harcanan zaman<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu durumda, a\u00e7\u0131klay\u0131c\u0131 de\u011fi\u015fkenler ayakkab\u0131 numaras\u0131 ve y\u00fcksekli\u011fi muhtemelen g\u00fc\u00e7l\u00fc bir korelasyona sahiptir \u00e7\u00fcnk\u00fc uzun boylu insanlar daha b\u00fcy\u00fck ayakkab\u0131 numaralar\u0131na sahip olma e\u011filimindedir. Bu, \u00e7oklu do\u011frusall\u0131\u011f\u0131n bu regresyonda bir sorun olabilece\u011fi anlam\u0131na gelir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Neyse ki, bir regresyon modelinde a\u00e7\u0131klay\u0131c\u0131 de\u011fi\u015fkenler aras\u0131ndaki korelasyonu ve korelasyonun g\u00fcc\u00fcn\u00fc \u00f6l\u00e7en, <strong>varyans enflasyon fakt\u00f6r\u00fc (VIF)<\/strong> ad\u0131 verilen bir \u00f6l\u00e7\u00fcm kullanarak \u00e7oklu do\u011frusall\u0131\u011f\u0131 tespit etmek m\u00fcmk\u00fcnd\u00fcr.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu e\u011fitimde, Stata&#8217;daki bir regresyon analizinde \u00e7oklu do\u011frusall\u0131\u011f\u0131n tespit edilmesi i\u00e7in VIF&#8217;nin nas\u0131l kullan\u0131laca\u011f\u0131 a\u00e7\u0131klanmaktad\u0131r.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>\u00d6rnek: Stata&#8217;da \u00e7oklu ba\u011flant\u0131<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">Bu \u00f6rnek i\u00e7in Stata&#8217;n\u0131n <em>auto<\/em> adl\u0131 yerle\u015fik veri k\u00fcmesini kullanaca\u011f\u0131z. Veri k\u00fcmesini y\u00fcklemek i\u00e7in a\u015fa\u011f\u0131daki komutu kullan\u0131n:<\/span><\/p>\n<blockquote>\n<p> <span style=\"color: #000000;\"><strong><span style=\"color: #000000;\">otomatik olarak kullan<\/span><\/strong><\/span><\/p>\n<\/blockquote>\n<p> <span style=\"color: #000000;\">Yan\u0131t de\u011fi\u015fkeni olarak fiyat\u0131 ve a\u00e7\u0131klay\u0131c\u0131 de\u011fi\u015fkenler olarak a\u011f\u0131rl\u0131k, uzunluk ve mpg&#8217;yi kullanarak <a href=\"https:\/\/statorials.org\/tr\/coklu-dogrusal-regresyon-istatistikleri\/\" target=\"_blank\" rel=\"noopener\">\u00e7oklu do\u011frusal regresyon modeline<\/a> uyum sa\u011flamak i\u00e7in <strong>regress<\/strong> komutunu kullanaca\u011f\u0131z:<\/span><\/p>\n<blockquote>\n<p> <span style=\"color: #000000;\"><strong>regresyon fiyat a\u011f\u0131rl\u0131k uzunluk mpg<\/strong><\/span> <\/p>\n<\/blockquote>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-6081 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/vif1.png\" alt=\"Stata'da \u00e7oklu do\u011frusal regresyon \u00e7\u0131kt\u0131s\u0131\" width=\"565\" height=\"286\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Daha sonra \u00e7oklu do\u011frusall\u0131\u011f\u0131 test etmek i\u00e7in <strong>vive<\/strong> komutunu kullanaca\u011f\u0131z:<\/span><\/p>\n<blockquote>\n<p> <strong><span style=\"color: #000000;\">canl\u0131<\/span><\/strong> <\/p>\n<\/blockquote>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-6082 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/vif2.png\" alt=\"Stata'da VIF\" width=\"297\" height=\"176\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Bu, modeldeki a\u00e7\u0131klay\u0131c\u0131 de\u011fi\u015fkenlerin her biri i\u00e7in bir VIF de\u011feri \u00fcretir. 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 a\u00e7\u0131klay\u0131c\u0131 de\u011fi\u015fken ile modeldeki di\u011fer herhangi bir a\u00e7\u0131klay\u0131c\u0131 de\u011fi\u015fken 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 a\u00e7\u0131klay\u0131c\u0131 de\u011fi\u015fken ile modeldeki di\u011fer a\u00e7\u0131klay\u0131c\u0131 de\u011fi\u015fkenler aras\u0131nda orta d\u00fczeyde bir korelasyon oldu\u011funu g\u00f6sterir, ancak bu genellikle \u00f6zel dikkat gerektirecek kadar \u015fiddetli de\u011fildir.<\/span><\/li>\n<li> <span style=\"color: #000000;\">5&#8217;ten b\u00fcy\u00fck bir de\u011fer, belirli bir a\u00e7\u0131klay\u0131c\u0131 de\u011fi\u015fken ile modeldeki di\u011fer a\u00e7\u0131klay\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;\">A\u011f\u0131rl\u0131k ve uzunluk i\u00e7in VIF de\u011ferlerinin 5&#8217;ten b\u00fcy\u00fck oldu\u011funu g\u00f6rebiliyoruz, bu da regresyon modelinde \u00e7oklu do\u011frusall\u0131\u011f\u0131n muhtemelen bir sorun oldu\u011funu g\u00f6steriyor.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00c7oklu ba\u011flant\u0131 sorunuyla nas\u0131l ba\u015f edilir<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u00c7o\u011fu zaman \u00e7oklu ba\u011flant\u0131yla ba\u015fa \u00e7\u0131kman\u0131n en kolay yolu sorunlu de\u011fi\u015fkenlerden birini kald\u0131rmakt\u0131r, \u00e7\u00fcnk\u00fc kald\u0131rd\u0131\u011f\u0131n\u0131z de\u011fi\u015fken zaten muhtemelen gereksizdir ve modele \u00e7ok az benzersiz veya ba\u011f\u0131ms\u0131z bilgi katmaktad\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Hangi de\u011fi\u015fkenin kald\u0131r\u0131laca\u011f\u0131n\u0131 belirlemek i\u00e7in, modeldeki de\u011fi\u015fkenlerin her biri aras\u0131ndaki korelasyon katsay\u0131lar\u0131n\u0131 g\u00f6r\u00fcnt\u00fclemek \u00fczere bir <a href=\"https:\/\/statorials.org\/tr\/istatistik-korelasyon-matrisi\/\" target=\"_blank\" rel=\"noopener\">korelasyon matrisi<\/a> olu\u015fturmak i\u00e7in <strong>corr<\/strong> komutunu kullanabiliriz; bu, hangi de\u011fi\u015fkenlerin birbiriyle y\u00fcksek d\u00fczeyde ili\u015fkili olabilece\u011fini ve hangi de\u011fi\u015fkenlerin birbiriyle y\u00fcksek d\u00fczeyde ili\u015fkili olabilece\u011fini belirlememize yard\u0131mc\u0131 olabilir. \u00c7oklu do\u011frusall\u0131k sorunu:<\/span><\/p>\n<blockquote>\n<p> <span style=\"color: #000000;\"><strong>do\u011fru fiyat a\u011f\u0131rl\u0131k uzunluk mpg<\/strong><\/span> <\/p>\n<\/blockquote>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-6084 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/vif3.png\" alt=\"Stata'daki korelasyon matrisi\" width=\"399\" height=\"174\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Uzunlu\u011fun hem a\u011f\u0131rl\u0131k hem de mpg ile y\u00fcksek d\u00fczeyde ili\u015fkili oldu\u011funu ve yan\u0131t de\u011fi\u015fken fiyat\u0131yla en d\u00fc\u015f\u00fck korelasyona sahip oldu\u011funu g\u00f6rebiliriz. Dolay\u0131s\u0131yla model uzunlu\u011funun kald\u0131r\u0131lmas\u0131, regresyon modelinin genel kalitesini d\u00fc\u015f\u00fcrmeden \u00e7oklu ba\u011flant\u0131 sorununu \u00e7\u00f6zebilir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bunu test etmek i\u00e7in a\u00e7\u0131klay\u0131c\u0131 de\u011fi\u015fkenler olarak yaln\u0131zca a\u011f\u0131rl\u0131k ve mpg&#8217;yi kullanarak regresyon analizini yeniden \u00e7al\u0131\u015ft\u0131rabiliriz:<\/span><\/p>\n<blockquote>\n<p> <span style=\"color: #000000;\"><strong>regresyon fiyat a\u011f\u0131rl\u0131k mpg<\/strong><\/span> <\/p>\n<\/blockquote>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-6085 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/vif4.png\" alt=\"Stata'da \u00e7oklu do\u011frusal regresyon \u00e7\u0131kt\u0131s\u0131\" width=\"544\" height=\"257\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Bu modelin d\u00fczeltilmi\u015f R-karesinin \u00f6nceki modeldeki <strong>0,3298&#8217;e<\/strong> k\u0131yasla <strong>0,2735<\/strong> oldu\u011funu g\u00f6rebiliriz. Bu, modelin genel kullan\u0131\u015fl\u0131l\u0131\u011f\u0131n\u0131n yaln\u0131zca biraz azald\u0131\u011f\u0131n\u0131 g\u00f6sterir. Daha sonra <strong>VIF<\/strong> komutunu kullanarak VIF de\u011ferlerini bulabiliriz:<\/span><\/p>\n<blockquote>\n<p> <strong><span style=\"color: #000000;\">CANLI<\/span><\/strong> <\/p>\n<\/blockquote>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-6086 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/vif5.png\" alt=\"Stata'da VIF de\u011ferleri\" width=\"303\" height=\"164\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Her iki VIF de\u011ferinin de 5&#8217;ten k\u00fc\u00e7\u00fck olmas\u0131, modelde \u00e7oklu do\u011frusall\u0131\u011f\u0131n art\u0131k bir sorun olmad\u0131\u011f\u0131n\u0131 g\u00f6stermektedir.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Regresyon analizinde \u00e7oklu ba\u011flant\u0131, iki veya daha fazla a\u00e7\u0131klay\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, a\u015fa\u011f\u0131daki de\u011fi\u015fkenlerle \u00e7oklu do\u011frusal regresyon \u00e7al\u0131\u015ft\u0131rd\u0131\u011f\u0131n\u0131z\u0131 varsayal\u0131m: De\u011fi\u015fken yan\u0131t: maksimum dikey [&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-642","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>Stata&#039;da \u00e7oklu ba\u011flant\u0131 nas\u0131l test edilir - Statorials<\/title>\n<meta name=\"description\" content=\"Stata&#039;da regresyonda \u00e7oklu ba\u011flant\u0131n\u0131n nas\u0131l test edilece\u011fine dair basit bir a\u00e7\u0131klama.\" \/>\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-istatistikleri\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Stata&#039;da \u00e7oklu ba\u011flant\u0131 nas\u0131l test edilir - 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