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条件指数×分散拡大係数(VIF)×
分野計量経済学計量経済学
系統Regression modelRegression model
提唱年19801970
提唱者Belsley, Kuh & WelschDonald Marquardt
種類Collinearity diagnostic indexDiagnostic statistic
原典Belsley, D. A., Kuh, E., & Welsch, R. E. (1980). Regression Diagnostics: Identifying Influential Data and Sources of Collinearity. John Wiley & Sons. ISBN: 978-0-471-05856-4Marquardt, D. W. (1970). Generalized inverses, ridge regression, biased linear estimation, and nonlinear estimation. Technometrics, 12(3), 591–612. DOI ↗
別名Belsley Condition Index, Collinearity Condition Index, Singular Value Condition Index, Koşul İndeksiVIF, Variance Inflation Index, Multicollinearity Inflation Factor, Varyans Enflasyon Faktörü
関連23
概要The 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.The 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.
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ScholarGate手法を比較: Condition Index · Variance Inflation Factor. 2026-06-18に以下より取得 https://scholargate.app/ja/compare