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Kiểm định White cho bất đẳng phương sai×Kiểm định Breusch-Pagan về phương sai sai số thay đổi×Bình phương tối thiểu có trọng số (WLS)×
Lĩnh vựcKinh tế lượngKinh tế lượngThống kê
HọRegression modelRegression modelRegression model
Năm ra đời198019791935
Người khởi xướngHalbert WhiteTrevor Breusch & Adrian PaganAlexander Craig Aitken
LoạiGeneral test for heteroskedasticityLagrange-multiplier test for heteroskedasticityWeighted linear estimator
Công trình gốcWhite, H. (1980). A heteroskedasticity-consistent covariance matrix estimator and a direct test for heteroskedasticity. Econometrica, 48(4), 817–838. DOI ↗Breusch, T. S., & Pagan, A. R. (1979). A simple test for heteroscedasticity and random coefficient variation. Econometrica, 47(5), 1287–1294. 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 ↗
Tên gọi khácWhite's general heteroskedasticity test, White değişen varyans testiBP test, Breusch-Pagan-Godfrey test, Lagrange multiplier test for heteroskedasticity, Breusch-Pagan değişen varyans testiWLS, weighted regression, heteroscedasticity-corrected OLS, variance-weighted least squares
Liên quan333
Tóm tắtThe 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.The Breusch-Pagan test, introduced by Trevor Breusch and Adrian Pagan in 1979, is a Lagrange-multiplier test for heteroskedasticity — the condition where the variance of a regression's errors changes with the explanatory variables. It works by regressing the squared OLS residuals on candidate variables and checking whether they explain any of the residual variation, signalling that the constant-variance assumption is violated.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.
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ScholarGateSo sánh phương pháp: White Test · Breusch-Pagan Test · Weighted Least Squares. Truy cập ngày 2026-06-19 từ https://scholargate.app/vi/compare