השוואת שיטות
סקרו את השיטות שבחרתם זו לצד זו; שורות שבהן יש הבדל מודגשות.
| רגרסיית ריבועים פחותים רגילים (OLS)× | ריבועים פחותים משוקללים (WLS)× | מבחן וייט לבחינת הטרוסקדסטיות× | |
|---|---|---|---|
| תחום≠ | אקונומטריקה | סטטיסטיקה | אקונומטריקה |
| משפחה | Regression model | Regression model | Regression model |
| שנת המקור≠ | 2019 | 1935 | 1980 |
| הוגה השיטה≠ | Wooldridge (textbook treatment); classical least squares | Alexander Craig Aitken | Halbert White |
| סוג≠ | Linear regression | Weighted linear estimator | General test for heteroskedasticity |
| מקור מכונן≠ | 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 ↗ |
| כינויים≠ | 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 |
| קשורות≠ | 5 | 3 | 3 |
| תקציר≠ | 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. |
| ScholarGateמערך נתונים ↗ |
|
|
|