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| BRUŠ-PAGANOV TEST NA HETEROSKEDASTIČNOST× | Regresija običnih najmanjih kvadrata (OLS)× | Metoda naјmaњih kvadrata sa težinama (WLS)× | |
|---|---|---|---|
| Oblast≠ | Ekonometrija | Ekonometrija | Statistika |
| Porodica | Regression model | Regression model | Regression model |
| Godina nastanka≠ | 1979 | 2019 | 1935 |
| Tvorac≠ | Trevor Breusch & Adrian Pagan | Wooldridge (textbook treatment); classical least squares | Alexander Craig Aitken |
| Tip≠ | Lagrange-multiplier test for heteroskedasticity | Linear regression | Weighted linear estimator |
| Temeljni izvor≠ | Breusch, T. S., & Pagan, A. R. (1979). A simple test for heteroscedasticity and random coefficient variation. Econometrica, 47(5), 1287–1294. DOI ↗ | 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 ↗ |
| Drugi nazivi | BP test, Breusch-Pagan-Godfrey test, Lagrange multiplier test for heteroskedasticity, Breusch-Pagan değişen varyans testi | ordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonu | WLS, weighted regression, heteroscedasticity-corrected OLS, variance-weighted least squares |
| Srodne≠ | 3 | 5 | 3 |
| Sažetak≠ | 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. | 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. |
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