Jämför metoder
Granska de valda metoderna sida vid sida; rader som skiljer sig är markerade.
| Robust Generaliserad Minsta Kvadrat (Robust GLS)× | Panel Generalized Least Squares (Panel GLS)× | Robust OLS (OLS med robusta standardfel)× | |
|---|---|---|---|
| Ämnesområde | Ekonometri | Ekonometri | Ekonometri |
| Familj | Regression model | Regression model | Regression model |
| Ursprungsår≠ | 1936 / 1980 | 1935 / developed for panels 1980s–1990s | 1980 |
| Upphovsperson≠ | Aitken (GLS theory, 1936); White (robust covariance, 1980) | Aitken (1935); extended to panel data by Baltagi and others | Halbert White |
| Typ≠ | Robust linear regression | Generalized linear regression | Linear regression with robust inference |
| Ursprungskälla≠ | Greene, W. H. (2012). Econometric Analysis (7th ed.). Pearson. Chapter 9: The Generalized Regression Model and Heteroscedasticity. ISBN: 978-0131395381 | Wooldridge, J. M. (2010). Econometric Analysis of Cross Section and Panel Data (2nd ed.). MIT Press. ISBN: 978-0262232586 | White, H. (1980). A heteroskedasticity-consistent covariance matrix estimator and a direct test for heteroskedasticity. Econometrica, 48(4), 817–838. DOI ↗ |
| Alias | robust generalized least squares, GLS with robust standard errors, heteroscedasticity-consistent GLS, HC-GLS | Panel GLS, Generalized Least Squares for panel data, FGLS panel, feasible GLS panel | HC robust regression, White robust OLS, sandwich estimator OLS, OLS with robust standard errors |
| Närliggande≠ | 5 | 3 | 6 |
| Sammanfattning≠ | Robust GLS extends classical Generalized Least Squares by pairing GLS coefficient estimation with heteroscedasticity- and autocorrelation-consistent (HAC) standard errors, or by using M-estimation within the GLS framework. It corrects for non-spherical errors — heteroscedasticity, autocorrelation, or both — while also guarding inference against misspecification of the error covariance structure. | Panel GLS is a regression method for longitudinal data that explicitly models the non-spherical error structure — heteroscedasticity across units and serial correlation within units — to recover efficient coefficient estimates. Unlike OLS, it weights observations by the inverse of the error covariance matrix, yielding the Best Linear Unbiased Estimator when the error structure is correctly specified. | Robust OLS applies ordinary least squares to estimate coefficients and then replaces the classical standard errors with heteroscedasticity-consistent (HC) standard errors — commonly called White standard errors. This leaves the point estimates unchanged while yielding valid t-statistics and confidence intervals even when the error variance is not constant across observations. |
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