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اختبار غولدفليد-كوانت لعدم تجانس التباين×الانحدار المربعات الصغرى الموزون (WLS)×اختبار وايت لعدم تجانس التباين×
المجالالاقتصاد القياسيالإحصاءالاقتصاد القياسي
العائلةHypothesis testRegression modelRegression model
سنة النشأة196519351980
صاحب الطريقةStephen Goldfeld & Richard QuandtAlexander Craig AitkenHalbert White
النوعF-ratio test for heteroskedasticityWeighted linear estimatorGeneral test for heteroskedasticity
المصدر التأسيسيGoldfeld, S. M., & Quandt, R. E. (1965). Some tests for homoscedasticity. Journal of the American Statistical Association, 60(310), 539–547. DOI ↗Aitken, A. C. (1935). IV.—On least squares and linear combination of observations. Proceedings of the Royal Society of Edinburgh, 55, 42–48. DOI ↗White, H. (1980). A heteroskedasticity-consistent covariance matrix estimator and a direct test for heteroskedasticity. Econometrica, 48(4), 817–838. DOI ↗
الأسماء البديلةGQ Test, Goldfeld-Quandt Heteroskedasticity Test, Split-Sample Variance Ratio Test, Goldfeld-Quandt Homojenlik TestiWLS, weighted regression, heteroscedasticity-corrected OLS, variance-weighted least squaresWhite's general heteroskedasticity test, White değişen varyans testi
ذات صلة333
الملخصThe Goldfeld-Quandt test, introduced by Stephen Goldfeld and Richard Quandt in 1965, is a classical diagnostic procedure for detecting heteroskedasticity in OLS regression. It operates by sorting observations according to a variable suspected of driving variance, omitting a central block, fitting separate regressions on the two tail sub-samples, and comparing their residual variances via an F-ratio. The test is particularly well-suited to situations where the error variance is believed to increase or decrease monotonically with an observed regressor.Weighted Least Squares is a generalization of Ordinary Least Squares (OLS) regression that assigns each observation a weight inversely proportional to its error variance, thereby down-weighting high-variance data points and up-weighting precise ones. Introduced in its general matrix form by Alexander Craig Aitken in 1935, WLS is the canonical remedy when heteroscedasticity is present and the error variance structure is known or can be reliably estimated.The White test, introduced by Halbert White in 1980, is a general test for heteroskedasticity that makes no assumption about its functional form. It regresses the squared OLS residuals on the regressors, their squares, and their cross-products, so it can detect heteroskedasticity related to any of these terms. The same 1980 paper introduced the heteroskedasticity-consistent ('White') standard errors that are the standard remedy when the test rejects.
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ScholarGateقارن الطرق: Goldfeld-Quandt Test · Weighted Least Squares · White Test. استُرجع بتاريخ 2026-06-20 من https://scholargate.app/ar/compare