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| Ujian Goldfeld-Quandt untuk Heteroskedastisitas× | Ujian Breusch-Pagan untuk Heteroskedastisitas× | Kuasa Dua Terkecil Berwajaran (WLS)× | Ujian White untuk Heteroskedastisiti× | |
|---|---|---|---|---|
| Bidang≠ | Ekonometrik | Ekonometrik | Statistik | Ekonometrik |
| Keluarga≠ | Hypothesis test | Regression model | Regression model | Regression model |
| Tahun asal≠ | 1965 | 1979 | 1935 | 1980 |
| Pengasas≠ | Stephen Goldfeld & Richard Quandt | Trevor Breusch & Adrian Pagan | Alexander Craig Aitken | Halbert White |
| Jenis≠ | F-ratio test for heteroskedasticity | Lagrange-multiplier test for heteroskedasticity | Weighted linear estimator | General test for heteroskedasticity |
| Sumber perintis≠ | Goldfeld, 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 ↗ | White, H. (1980). A heteroskedasticity-consistent covariance matrix estimator and a direct test for heteroskedasticity. Econometrica, 48(4), 817–838. DOI ↗ |
| Alias≠ | GQ Test, Goldfeld-Quandt Heteroskedasticity Test, Split-Sample Variance Ratio Test, Goldfeld-Quandt Homojenlik Testi | BP test, Breusch-Pagan-Godfrey test, Lagrange multiplier test for heteroskedasticity, Breusch-Pagan değişen varyans testi | WLS, weighted regression, heteroscedasticity-corrected OLS, variance-weighted least squares | White's general heteroskedasticity test, White değişen varyans testi |
| Berkaitan | 3 | 3 | 3 | 3 |
| Ringkasan≠ | 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. | 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. | 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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