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| 골드펠드-콴트 이분산성 검정 (Goldfeld-Quandt Test for Heteroskedasticity)× | 가중 최소 제곱법 (Weighted Least Squares, WLS)× | White 이분산성 검정× | |
|---|---|---|---|
| 분야≠ | 계량경제학 | 통계학 | 계량경제학 |
| 계열≠ | Hypothesis test | Regression model | Regression model |
| 기원 연도≠ | 1965 | 1935 | 1980 |
| 창시자≠ | Stephen Goldfeld & Richard Quandt | Alexander Craig Aitken | Halbert White |
| 유형≠ | F-ratio test for heteroskedasticity | Weighted linear estimator | General test for heteroskedasticity |
| 원전≠ | Goldfeld, 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 ↗ | White, H. (1980). A heteroskedasticity-consistent covariance matrix estimator and a direct test for heteroskedasticity. Econometrica, 48(4), 817–838. DOI ↗ |
| 별칭≠ | GQ Test, Goldfeld-Quandt Heteroskedasticity Test, Split-Sample Variance Ratio Test, Goldfeld-Quandt Homojenlik Testi | WLS, weighted regression, heteroscedasticity-corrected OLS, variance-weighted least squares | White's general heteroskedasticity test, White değişen varyans testi |
| 관련 | 3 | 3 | 3 |
| 요약≠ | The 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. | 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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