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Test de Breusch-Pagan pour l'hétéroscédasticité×Régression par Moindres Carrés Ordinaires (MCO)×Moindres Carrés Pondérés (MCP)×Test de White pour l'hétéroscédasticité×
DomaineÉconométrieÉconométrieStatistiqueÉconométrie
FamilleRegression modelRegression modelRegression modelRegression model
Année d'origine1979201919351980
Auteur d'origineTrevor Breusch & Adrian PaganWooldridge (textbook treatment); classical least squaresAlexander Craig AitkenHalbert White
TypeLagrange-multiplier test for heteroskedasticityLinear regressionWeighted linear estimatorGeneral test for heteroskedasticity
Source fondatriceBreusch, T. S., & Pagan, A. R. (1979). A simple test for heteroscedasticity and random coefficient variation. Econometrica, 47(5), 1287–1294. DOI ↗Wooldridge, J. M. (2019). Introductory Econometrics: A Modern Approach (7th ed.). Cengage Learning. ISBN: 978-1337558860Aitken, 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 ↗
AliasBP test, Breusch-Pagan-Godfrey test, Lagrange multiplier test for heteroskedasticity, Breusch-Pagan değişen varyans testiordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonuWLS, weighted regression, heteroscedasticity-corrected OLS, variance-weighted least squaresWhite's general heteroskedasticity test, White değişen varyans testi
Apparentées3533
RésuméThe 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.Ordinary Least Squares is the classical linear regression method that explains a continuous outcome as a linear combination of predictors. It estimates the coefficients by minimising the sum of squared residuals, and under the Gauss-Markov assumptions these estimates are the best linear unbiased estimator (BLUE).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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ScholarGateComparer des méthodes: Breusch-Pagan Test · OLS Regression · Weighted Least Squares · White Test. Consulté le 2026-06-19 sur https://scholargate.app/fr/compare