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Ujian Goldfeld-Quandt untuk Heteroskedastisitas×Kuasa Dua Terkecil Berwajaran (WLS)×
BidangEkonometrikStatistik
KeluargaHypothesis testRegression model
Tahun asal19651935
PengasasStephen Goldfeld & Richard QuandtAlexander Craig Aitken
JenisF-ratio test for heteroskedasticityWeighted linear estimator
Sumber perintisGoldfeld, S. M., & Quandt, R. E. (1965). Some tests for homoscedasticity. Journal of the American Statistical Association, 60(310), 539–547. 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 ↗
AliasGQ Test, Goldfeld-Quandt Heteroskedasticity Test, Split-Sample Variance Ratio Test, Goldfeld-Quandt Homojenlik TestiWLS, weighted regression, heteroscedasticity-corrected OLS, variance-weighted least squares
Berkaitan33
RingkasanThe 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.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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ScholarGateBandingkan kaedah: Goldfeld-Quandt Test · Weighted Least Squares. Dicapai 2026-06-19 daripada https://scholargate.app/ms/compare