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কন্ডিশন ইনডেক্স×সাধারণ ন্যূনতম বর্গক্ষেত্র (OLS) রিগ্রেশন×ভেদাঙ্ক স্ফীতি গুণাঙ্ক (Variance Inflation Factor - VIF)×
ক্ষেত্রঅর্থমিতিঅর্থমিতিঅর্থমিতি
পরিবারRegression modelRegression modelRegression model
উদ্ভবের বছর198020191970
প্রবর্তকBelsley, Kuh & WelschWooldridge (textbook treatment); classical least squaresDonald Marquardt
ধরনCollinearity diagnostic indexLinear regressionDiagnostic statistic
মৌলিক উৎসBelsley, 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: 978-1337558860Marquardt, D. W. (1970). Generalized inverses, ridge regression, biased linear estimation, and nonlinear estimation. Technometrics, 12(3), 591–612. DOI ↗
অপর নামBelsley Condition Index, Collinearity Condition Index, Singular Value Condition Index, Koşul İndeksiordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonuVIF, Variance Inflation Index, Multicollinearity Inflation Factor, Varyans Enflasyon Faktörü
সম্পর্কিত253
সারসংক্ষেপThe 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).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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ScholarGateপদ্ধতির তুলনা করুন: Condition Index · OLS Regression · Variance Inflation Factor. 2026-06-18 তারিখে সংগৃহীত, উৎস: https://scholargate.app/bn/compare