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Variansinflationsfaktor (VIF)×Almindelig mindste kvadraters metode (OLS) regression×Ridge-regression×
FagområdeØkonometriØkonometriMaskinlæring
FamilieRegression modelRegression modelMachine learning
Oprindelsesår197020191970
OphavspersonDonald MarquardtWooldridge (textbook treatment); classical least squaresHoerl, A.E. & Kennard, R.W.
TypeDiagnostic statisticLinear regressionL2-regularized linear regression
Oprindelig kildeMarquardt, D. W. (1970). Generalized inverses, ridge regression, biased linear estimation, and nonlinear estimation. Technometrics, 12(3), 591–612. DOI ↗Wooldridge, J. M. (2019). Introductory Econometrics: A Modern Approach (7th ed.). Cengage Learning. ISBN: 978-1337558860Hoerl, A.E. & Kennard, R.W. (1970). Ridge Regression: Biased Estimation for Nonorthogonal Problems. Technometrics, 12(1), 55–67. DOI ↗
AliasserVIF, Variance Inflation Index, Multicollinearity Inflation Factor, Varyans Enflasyon Faktörüordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonuRidge Regresyonu, ridge regresyonu, L2-regularized regression, Tikhonov regularization
Relaterede354
ResuméThe Variance Inflation Factor (VIF) is a scalar diagnostic statistic proposed by Donald Marquardt (1970) that quantifies how much the variance of an estimated regression coefficient increases due to linear dependence—multicollinearity—among the predictors in an ordinary least squares model. It is routinely applied in econometrics, social science, and biomedical research whenever analysts suspect that two or more independent variables move together closely enough to destabilize coefficient estimates.Ordinary Least Squares is the classical linear regression method that explains a continuous outcome as a linear combination of predictors. It estimates the coefficients by minimising the sum of squared residuals, and under the Gauss-Markov assumptions these estimates are the best linear unbiased estimator (BLUE).Ridge Regression is an L2-regularized linear regression method, introduced by Arthur Hoerl and Robert Kennard in 1970, that reduces multicollinearity by adding a penalty on the size of the coefficients. It shrinks coefficients toward zero without setting any of them exactly to zero, producing more stable estimates when predictors are highly correlated.
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ScholarGateSammenlign metoder: Variance Inflation Factor · OLS Regression · Ridge Regression. Hentet 2026-06-18 fra https://scholargate.app/da/compare