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Goldfeldov-Quandtov test heteroskedasticity×Breusch-Paganov test na heteroskedasticitu×Vážený spôsob najmenších štvorcov (WLS)×
OdborEkonometriaEkonometriaŠtatistika
RodinaHypothesis testRegression modelRegression model
Rok vzniku196519791935
TvorcaStephen Goldfeld & Richard QuandtTrevor Breusch & Adrian PaganAlexander Craig Aitken
TypF-ratio test for heteroskedasticityLagrange-multiplier test for heteroskedasticityWeighted linear estimator
Pôvodný zdrojGoldfeld, 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 ↗
Ďalšie názvyGQ 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
Príbuzné333
ZhrnutieThe 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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ScholarGatePorovnať metódy: Goldfeld-Quandt Test · Breusch-Pagan Test · Weighted Least Squares. Získané 2026-06-20 z https://scholargate.app/sk/compare