Порівняння методів
Переглядайте обрані методи поруч; рядки з відмінностями підсвічено.
| Тест Бройша-Пагана на гетероскедастичність× | Регресія звичайно найменших квадратів (ЗНК)× | Тест Вайта на гетероскедастичність× | |
|---|---|---|---|
| Галузь | Економетрика | Економетрика | Економетрика |
| Родина | Regression model | Regression model | Regression model |
| Рік появи≠ | 1979 | 2019 | 1980 |
| Автор методу≠ | Trevor Breusch & Adrian Pagan | Wooldridge (textbook treatment); classical least squares | Halbert White |
| Тип≠ | Lagrange-multiplier test for heteroskedasticity | Linear regression | General test for heteroskedasticity |
| Основоположне джерело≠ | 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 | White, H. (1980). A heteroskedasticity-consistent covariance matrix estimator and a direct test for heteroskedasticity. Econometrica, 48(4), 817–838. DOI ↗ |
| Інші назви≠ | 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 | White's general heteroskedasticity test, White değişen varyans testi |
| Пов'язані≠ | 3 | 5 | 3 |
| Підсумок≠ | 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). | 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. |
| ScholarGateНабір даних ↗ |
|
|
|