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Teste de Goldfeld-Quandt para Heterocedasticidade×Teste de Breusch-Pagan para Heteroscedasticidade×Mínimos Quadrados Ponderados (WLS)×
ÁreaEconometriaEconometriaEstatística
FamíliaHypothesis testRegression modelRegression model
Ano de origem196519791935
Autor originalStephen Goldfeld & Richard QuandtTrevor Breusch & Adrian PaganAlexander Craig Aitken
TipoF-ratio test for heteroskedasticityLagrange-multiplier test for heteroskedasticityWeighted linear estimator
Fonte seminalGoldfeld, S. M., & Quandt, R. E. (1965). Some tests for homoscedasticity. Journal of the American Statistical Association, 60(310), 539–547. 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 ↗
Outros nomesGQ Test, Goldfeld-Quandt Heteroskedasticity Test, Split-Sample Variance Ratio Test, Goldfeld-Quandt Homojenlik 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
Relacionados333
ResumoThe Goldfeld-Quandt test, introduced by Stephen Goldfeld and Richard Quandt in 1965, is a classical diagnostic procedure for detecting heteroskedasticity in OLS regression. It operates by sorting observations according to a variable suspected of driving variance, omitting a central block, fitting separate regressions on the two tail sub-samples, and comparing their residual variances via an F-ratio. The test is particularly well-suited to situations where the error variance is believed to increase or decrease monotonically with an observed regressor.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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ScholarGateComparar métodos: Goldfeld-Quandt Test · Breusch-Pagan Test · Weighted Least Squares. Recuperado em 2026-06-20 de https://scholargate.app/pt/compare