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Indice de Condition×Régression par Moindres Carrés Ordinaires (MCO)×Régression Ridge×
DomaineÉconométrieÉconométrieApprentissage automatique
FamilleRegression modelRegression modelMachine learning
Année d'origine198020191970
Auteur d'origineBelsley, Kuh & WelschWooldridge (textbook treatment); classical least squaresHoerl, A.E. & Kennard, R.W.
TypeCollinearity diagnostic indexLinear regressionL2-regularized linear regression
Source fondatriceBelsley, D. A., Kuh, E., & Welsch, R. E. (1980). Regression Diagnostics: Identifying Influential Data and Sources of Collinearity. John Wiley & Sons. ISBN: 978-0-471-05856-4Wooldridge, 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 ↗
AliasBelsley Condition Index, Collinearity Condition Index, Singular Value Condition Index, Koşul İndeksiordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonuRidge Regresyonu, ridge regresyonu, L2-regularized regression, Tikhonov regularization
Apparentées254
RésuméThe Condition Index, introduced by Belsley, Kuh, and Welsch (1980), is a scalar measure derived from singular value decomposition of the scaled regressor matrix. It quantifies the degree of near-linear dependence among predictors in ordinary least squares regression, enabling analysts to detect collinearity that inflates coefficient variance and destabilises parameter estimates. Widely used in economics, social sciences, and biomedical research wherever OLS regression is applied.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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ScholarGateComparer des méthodes: Condition Index · OLS Regression · Ridge Regression. Consulté le 2026-06-19 sur https://scholargate.app/fr/compare