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异方差的 Breusch-Pagan 检验×White异方差检验×
领域计量经济学计量经济学
方法族Regression modelRegression model
起源年份19791980
提出者Trevor Breusch & Adrian PaganHalbert White
类型Lagrange-multiplier test for heteroskedasticityGeneral test for heteroskedasticity
开创性文献Breusch, T. S., & Pagan, A. R. (1979). A simple test for heteroscedasticity and random coefficient variation. Econometrica, 47(5), 1287–1294. DOI ↗White, H. (1980). A heteroskedasticity-consistent covariance matrix estimator and a direct test for heteroskedasticity. Econometrica, 48(4), 817–838. DOI ↗
别名BP test, Breusch-Pagan-Godfrey test, Lagrange multiplier test for heteroskedasticity, Breusch-Pagan değişen varyans testiWhite's general heteroskedasticity test, White değişen varyans testi
相关33
摘要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.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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ScholarGate方法对比: Breusch-Pagan Test · White Test. 于 2026-06-18 检索自 https://scholargate.app/zh/compare