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White异方差检验×加权最小二乘法 (WLS)×
领域计量经济学统计学
方法族Regression modelRegression model
起源年份19801935
提出者Halbert WhiteAlexander Craig Aitken
类型General test for heteroskedasticityWeighted linear estimator
开创性文献White, H. (1980). A heteroskedasticity-consistent covariance matrix estimator and a direct test for heteroskedasticity. Econometrica, 48(4), 817–838. 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 ↗
别名White's general heteroskedasticity test, White değişen varyans testiWLS, weighted regression, heteroscedasticity-corrected OLS, variance-weighted least squares
相关33
摘要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.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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ScholarGate方法对比: White Test · Weighted Least Squares. 于 2026-06-19 检索自 https://scholargate.app/zh/compare