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Kiểm định Goldfeld-Quandt về phương sai sai số thay đổi×Bình phương tối thiểu có trọng số (WLS)×Kiểm định White cho bất đẳng phương sai×
Lĩnh vựcKinh tế lượngThống kêKinh tế lượng
HọHypothesis testRegression modelRegression model
Năm ra đời196519351980
Người khởi xướngStephen Goldfeld & Richard QuandtAlexander Craig AitkenHalbert White
LoạiF-ratio test for heteroskedasticityWeighted linear estimatorGeneral test for heteroskedasticity
Công trình gốcGoldfeld, 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 ↗
Tên gọi khácGQ 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
Liên quan333
Tóm tắtThe 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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ScholarGateSo sánh phương pháp: Goldfeld-Quandt Test · Weighted Least Squares · White Test. Truy cập ngày 2026-06-20 từ https://scholargate.app/vi/compare