Regression model

Heteroscedasticity-Robust (HC) Standard Errors

Heteroscedasticity-robust standard errors are a correction to the covariance matrix of an OLS regression that yields valid inference when the error variance is not constant. Introduced by Halbert White in 1980 and refined into the finite-sample variants HC1-HC4 by MacKinnon and White in 1985, they leave the coefficient estimates unchanged but rebuild the standard errors so that t and F tests remain trustworthy under heteroscedasticity.

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Sources

  1. White, H. (1980). A Heteroskedasticity-Consistent Covariance Matrix Estimator and a Direct Test for Heteroskedasticity. Econometrica, 48(4), 817-838. DOI: 10.2307/1912934
  2. MacKinnon, J. G. & White, H. (1985). Some Heteroskedasticity-Consistent Covariance Matrix Estimators with Improved Finite Sample Properties. Journal of Econometrics, 29(3), 305-325. DOI: 10.1016/0304-4076(85)90158-7

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Referenced by

ScholarGateHeteroscedasticity-Robust Standard Errors (Heteroscedasticity-Consistent (HC) Standard Errors). Retrieved 2026-06-04 from https://scholargate.app/en/statistics/heteroscedasticity-robust-se