{"id":505,"date":"2023-07-29T16:45:15","date_gmt":"2023-07-29T16:45:15","guid":{"rendered":"https:\/\/statorials.org\/tr\/varyans-enflasyon-faktoru-r\/"},"modified":"2023-07-29T16:45:15","modified_gmt":"2023-07-29T16:45:15","slug":"varyans-enflasyon-faktoru-r","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/varyans-enflasyon-faktoru-r\/","title":{"rendered":"R&#39;de varyans enflasyon fakt\u00f6r\u00fc (vif) nas\u0131l hesaplan\u0131r?"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">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.<\/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;\">\u00c7oklu do\u011frusall\u0131\u011f\u0131 tespit etmenin en yayg\u0131n yolu, bir regresyon modelinde yorday\u0131c\u0131 de\u011fi\u015fkenler aras\u0131ndaki <a href=\"https:\/\/statorials.org\/tr\/pearson-korelasyon-katsayisi-1\/\" target=\"_blank\" rel=\"noopener\">korelasyonu<\/a> ve korelasyonun g\u00fcc\u00fcn\u00fc \u00f6l\u00e7en varyans enflasyon fakt\u00f6r\u00fcn\u00fc (VIF) kullanmakt\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">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;\">Y\u00fcksek VIF de\u011ferlerinin <a href=\"https:\/\/statisticalhorizons.com\/multicollinearity\" target=\"_blank\" rel=\"noopener\">g\u00fcvenle g\u00f6z ard\u0131 edilebilece\u011fi<\/a> baz\u0131 durumlar\u0131n bulundu\u011funu unutmay\u0131n.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>R&#8217;de VIF nas\u0131l hesaplan\u0131r<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">R&#8217;deki bir regresyon modeli i\u00e7in VIF&#8217;nin nas\u0131l hesaplanaca\u011f\u0131n\u0131 g\u00f6stermek i\u00e7in yerle\u015fik <em>mtcars<\/em> veri k\u00fcmesini kullanaca\u011f\u0131z:<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#view first six lines of <em>mtcars<\/em><\/span>\nhead(mtcars)\n\n# mpg cyl disp hp drat wt qsec vs am gear carb\n#Mazda RX4 21.0 6 160 110 3.90 2.620 16.46 0 1 4 4\n#Mazda RX4 Wag 21.0 6 160 110 3.90 2.875 17.02 0 1 4 4\n#Datsun 710 22.8 4 108 93 3.85 2.320 18.61 1 1 4 1\n#Hornet 4 Drive 21.4 6 258 110 3.08 3.215 19.44 1 0 3 1\n#Hornet Sportabout 18.7 8 360 175 3.15 3.440 17.02 0 0 3 2\n#Valiant 18.1 6 225 105 2.76 3.460 20.22 1 0 3 1<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">\u0130lk olarak, yan\u0131t de\u011fi\u015fkeni olarak <em>mpg&#8217;yi<\/em> ve tahmin de\u011fi\u015fkenleri olarak <em>disp<\/em> , <em>hp<\/em> , <em>wt<\/em> ve <em>drat&#8217;\u0131<\/em> kullanarak bir regresyon modeli uygulayaca\u011f\u0131z:<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#fit the regression model<\/span>\nmodel &lt;- lm(mpg ~ disp + hp + wt + drat, data = mtcars)\n\n<span style=\"color: #008080;\">#view the output of the regression model\n<\/span>summary(model)\n\n#Call:\n#lm(formula = mpg ~ disp + hp + wt + drat, data = mtcars)\n#\n#Residuals:\n# Min 1Q Median 3Q Max \n#-3.5077 -1.9052 -0.5057 0.9821 5.6883 \n#\n#Coefficients:\n#Estimate Std. Error t value Pr(&gt;|t|)    \n#(Intercept) 29.148738 6.293588 4.631 8.2e-05 ***\n#available 0.003815 0.010805 0.353 0.72675    \n#hp -0.034784 0.011597 -2.999 0.00576 ** \n#wt -3.479668 1.078371 -3.227 0.00327 ** \n#drat 1.768049 1.319779 1.340 0.19153    \n#---\n#Significant. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1\n#\n#Residual standard error: 2.602 on 27 degrees of freedom\n#Multiple R-squared: 0.8376, Adjusted R-squared: 0.8136 \n#F-statistic: 34.82 on 4 and 27 DF, p-value: 2.704e-10\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Sonu\u00e7tan modelin R kare de\u011ferinin <strong>0,8376<\/strong> oldu\u011funu g\u00f6r\u00fcyoruz. Ayr\u0131ca <a href=\"https:\/\/statorials.org\/tr\/regresyonda-genel-anlamlilik-icin-f-testini-anlamaya-yonelik-basit-bir-kilavuz\/\" target=\"_blank\" rel=\"noopener\">genel F istatisti\u011finin<\/a> <strong>34,82<\/strong> ve kar\u015f\u0131l\u0131k gelen p de\u011ferinin <strong>2,704e-10<\/strong> oldu\u011funu da g\u00f6rebiliriz, bu da genel regresyon modelinin anlaml\u0131 oldu\u011funu g\u00f6sterir. Ayr\u0131ca,<\/span> <span style=\"color: #000000;\">yorday\u0131c\u0131 de\u011fi\u015fkenler <em>hp<\/em> ve <em>wt<\/em> 0,05 anlaml\u0131l\u0131k d\u00fczeyinde istatistiksel olarak anlaml\u0131d\u0131r, halbuki <em>disp<\/em> ve <em>drat<\/em> anlaml\u0131 de\u011fildir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Daha sonra, modeldeki her tahmin de\u011fi\u015fkeninin VIF&#8217;sini hesaplamak <strong>i\u00e7in<\/strong> k\u00fct\u00fcphanenin <strong>vive()<\/strong> fonksiyonunu kullanaca\u011f\u0131z:<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#load the <em>car<\/em> library<\/span>\nlibrary(car)\n\n<span style=\"color: #008080;\">#calculate the VIF for each predictor variable in the model\n<\/span>lively(model)\n\n# disp hp wt drat \n#8.209402 2.894373 5.096601 2.279547 \n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\"><em>Disp<\/em> ve <em>wt<\/em> i\u00e7in VIF&#8217;lerin 5&#8217;ten b\u00fcy\u00fck oldu\u011funu g\u00f6rebiliriz, bu da potansiyel olarak endi\u015fe vericidir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>VIF de\u011ferlerini g\u00f6r\u00fcnt\u00fcleme<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Her \u00f6ng\u00f6r\u00fcc\u00fc de\u011fi\u015fkenin VIF de\u011ferlerini g\u00f6rselle\u015ftirmek i\u00e7in basit bir yatay \u00e7ubuk grafik olu\u015fturabilir ve 5&#8217;e dikey bir \u00e7izgi ekleyebiliriz, b\u00f6ylece hangi VIF de\u011ferlerinin 5&#8217;i a\u015ft\u0131\u011f\u0131n\u0131 a\u00e7\u0131k\u00e7a g\u00f6rebiliriz:<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create vector of VIF values<\/span>\nvive_values &lt;- vive(model)\n\n<span style=\"color: #008080;\">#create horizontal bar chart to display each VIF value\n<\/span>barplot(vif_values, main = \"VIF Values\", horiz = TRUE, col = \"steelblue\")\n\n<span style=\"color: #008080;\">#add vertical line at 5\n<\/span>abline(v = 5, lwd = 3, lty = 2)<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Bu t\u00fcr grafi\u011fin \u00e7ok say\u0131da \u00f6ng\u00f6r\u00fcc\u00fc de\u011fi\u015fken i\u00e7eren bir model i\u00e7in en yararl\u0131 olaca\u011f\u0131n\u0131 unutmay\u0131n, b\u00f6ylece t\u00fcm VIF de\u011ferlerini ayn\u0131 anda kolayca g\u00f6r\u00fcnt\u00fcleyebiliriz. Ancak bu \u00f6rnekte kullan\u0131\u015fl\u0131 bir grafiktir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Hangi VIF de\u011ferinin modele dahil edilemeyecek kadar y\u00fcksek oldu\u011funu d\u00fc\u015f\u00fcnd\u00fc\u011f\u00fcn\u00fcze ba\u011fl\u0131 olarak, belirli yorday\u0131c\u0131 de\u011fi\u015fkenleri kald\u0131rmay\u0131 se\u00e7ebilir ve ilgili R-kare de\u011ferinin veya modelin standart hatas\u0131n\u0131n etkilenip etkilenmedi\u011fini g\u00f6rebilirsiniz.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Tahmin edici de\u011fi\u015fkenler aras\u0131ndaki korelasyonlar\u0131n g\u00f6rselle\u015ftirilmesi<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Bir yorday\u0131c\u0131 de\u011fi\u015fkenin neden y\u00fcksek bir VIF de\u011ferine sahip olabilece\u011fini daha iyi anlamak i\u00e7in, her bir de\u011fi\u015fken \u00e7ifti aras\u0131ndaki do\u011frusal korelasyon katsay\u0131lar\u0131n\u0131 g\u00f6r\u00fcnt\u00fcleyen bir korelasyon matrisi olu\u015fturabiliriz:<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#define the variables we want to include in the correlation matrix<\/span>\ndata &lt;- mtcars[, c(\"disp\", \"hp\", \"wt\", \"drat\")]\n\n<span style=\"color: #008080;\">#create correlation matrix<\/span>\ncor(data)\n\n# disp hp wt drat\n#available 1.0000000 0.7909486 0.8879799 -0.7102139\n#hp 0.7909486 1.0000000 0.6587479 -0.4487591\n#wt 0.8879799 0.6587479 1.0000000 -0.7124406\n#drat -0.7102139 -0.4487591 -0.7124406 1.0000000\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\"><em>Disp<\/em> de\u011fi\u015fkeninin, modeldeki t\u00fcm yorday\u0131c\u0131 de\u011fi\u015fkenler aras\u0131nda en y\u00fcksek VIF de\u011feri olan 8&#8217;den b\u00fcy\u00fck bir VIF de\u011ferine sahip oldu\u011funu hat\u0131rlay\u0131n. Korelasyon matrisinden <em>disp&#8217;nin<\/em> di\u011fer \u00fc\u00e7 yorday\u0131c\u0131 de\u011fi\u015fkenle y\u00fcksek d\u00fczeyde ili\u015fkili oldu\u011funu g\u00f6rebiliriz, bu da VIF de\u011ferinin neden bu kadar y\u00fcksek oldu\u011funu a\u00e7\u0131klar.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu durumda VIF de\u011ferinin y\u00fcksek olmas\u0131 <em>ve<\/em> 0,05 anlaml\u0131l\u0131k d\u00fczeyinde istatistiksel olarak anlaml\u0131 olmamas\u0131 nedeniyle <em>disp&#8217;i<\/em> modelden \u00e7\u0131karmak isteyebilirsiniz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Korelasyon matrisi ve VIF&#8217;nin size benzer bilgiler sa\u011flayaca\u011f\u0131n\u0131 unutmay\u0131n: her ikisi de size bir de\u011fi\u015fkenin bir regresyon modelinde bir veya daha fazla de\u011fi\u015fkenle y\u00fcksek d\u00fczeyde korelasyona sahip oldu\u011funu s\u00f6yler.<\/span><\/p>\n<p> <strong><span style=\"color: #000000;\">Daha fazla okuma:<\/span><\/strong><br \/> <strong>Regresyonda \u00c7oklu Ba\u011flant\u0131 ve VIF K\u0131lavuzu<br \/> \u0130yi bir R-kare de\u011feri nedir?<\/strong><\/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. \u00c7oklu do\u011frusall\u0131\u011f\u0131 tespit etmenin en yayg\u0131n yolu, bir regresyon modelinde yorday\u0131c\u0131 de\u011fi\u015fkenler [&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-505","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>R - Statorialsde Varyans Enflasyon Fakt\u00f6r\u00fc (VIF) Nas\u0131l Hesaplan\u0131r?<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde, bir regresyon modelinde \u00e7oklu do\u011frusall\u0131\u011f\u0131 tespit etmek i\u00e7in kullan\u0131labilecek bir \u00f6l\u00e7\u00fcm olan R&#039;de VIF&#039;nin nas\u0131l hesaplanaca\u011f\u0131 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\/varyans-enflasyon-faktoru-r\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"R - 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