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| 최소제곱법(OLS) 회귀× | 가중 최소 제곱법 (Weighted Least Squares, WLS)× | White 이분산성 검정× | |
|---|---|---|---|
| 분야≠ | 계량경제학 | 통계학 | 계량경제학 |
| 계열 | Regression model | Regression model | Regression model |
| 기원 연도≠ | 2019 | 1935 | 1980 |
| 창시자≠ | Wooldridge (textbook treatment); classical least squares | Alexander Craig Aitken | Halbert White |
| 유형≠ | Linear regression | Weighted linear estimator | General test for heteroskedasticity |
| 원전≠ | Wooldridge, J. M. (2019). Introductory Econometrics: A Modern Approach (7th ed.). Cengage Learning. ISBN: 978-1337558860 | 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≠ | ordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonu | WLS, weighted regression, heteroscedasticity-corrected OLS, variance-weighted least squares | White's general heteroskedasticity test, White değişen varyans testi |
| 관련≠ | 5 | 3 | 3 |
| 요약≠ | Ordinary Least Squares is the classical linear regression method that explains a continuous outcome as a linear combination of predictors. It estimates the coefficients by minimising the sum of squared residuals, and under the Gauss-Markov assumptions these estimates are the best linear unbiased estimator (BLUE). | 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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