Collinearity: revisiting the variance inflation factor in ridge regression
Ridge regression has been widely applied to estimate under collinearity by defining a class of estimators that are dependent on the parameter k. The variance inflation factor (VIF) is applied to detect the presence of collinearity and also as an objective method to obtain the value of k in ridge reg...
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| Published in | Journal of applied statistics Vol. 42; no. 3; pp. 648 - 661 |
|---|---|
| Main Authors | , , , |
| Format | Journal Article |
| Language | English |
| Published |
Abingdon
Taylor & Francis
04.03.2015
Taylor & Francis Ltd |
| Subjects | |
| Online Access | Get full text |
| ISSN | 0266-4763 1360-0532 |
| DOI | 10.1080/02664763.2014.980789 |
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| Abstract | Ridge regression has been widely applied to estimate under collinearity by defining a class of estimators that are dependent on the parameter k. The variance inflation factor (VIF) is applied to detect the presence of collinearity and also as an objective method to obtain the value of k in ridge regression. Contrarily to the definition of the VIF, the expressions traditionally applied in ridge regression do not necessarily lead to values of VIFs equal to or greater than 1. This work presents an alternative expression to calculate the VIF in ridge regression that satisfies the aforementioned condition and also presents other interesting properties. |
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| AbstractList | Ridge regression has been widely applied to estimate under collinearity by defining a class of estimators that are dependent on the parameter k. The variance inflation factor (VIF) is applied to detect the presence of collinearity and also as an objective method to obtain the value of k in ridge regression. Contrarily to the definition of the VIF, the expressions traditionally applied in ridge regression do not necessarily lead to values of VIFs equal to or greater than 1. This work presents an alternative expression to calculate the VIF in ridge regression that satisfies the aforementioned condition and also presents other interesting properties. |
| Author | García, C.B. López Martín, M.M. García, J. Salmerón, R. |
| Author_xml | – sequence: 1 givenname: C surname: Garcia middlename: B fullname: Garcia, C B – sequence: 2 givenname: J surname: Garcia fullname: Garcia, J – sequence: 3 givenname: MM surname: Lopez Martin fullname: Lopez Martin, MM – sequence: 4 givenname: R surname: Salmeron fullname: Salmeron, R |
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| SubjectTerms | Applied statistics Collinearity covariance matrix Estimators Inflation linear regression Mathematical analysis Parameter estimation Regression Regression analysis ridge regression Ridges Studies Variance variance inflation factor |
| Title | Collinearity: revisiting the variance inflation factor in ridge regression |
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