So sánh phương pháp
Xem các phương pháp đã chọn cạnh nhau; những hàng khác biệt được làm nổi bật.
| Chẩn đoán ảnh hưởng (Khoảng cách Cook, DFFITS, Đòn bẩy)× | Hồi quy Bình phương Tối thiểu Thông thường (OLS)× | Hồi quy Quantile× | Ridge Regression× | |
|---|---|---|---|---|
| Lĩnh vực≠ | Thống kê | Kinh tế lượng | Kinh tế lượng | Học máy |
| Họ≠ | Regression model | Regression model | Regression model | Machine learning |
| Năm ra đời≠ | 1977 | 2019 | 1978 | 1970 |
| Người khởi xướng≠ | R. Dennis Cook (Cook's distance); Belsley, Kuh & Welsch (DFFITS, leverage) | Wooldridge (textbook treatment); classical least squares | Koenker & Bassett | Hoerl, A.E. & Kennard, R.W. |
| Loại≠ | Regression diagnostic | Linear regression | Conditional quantile regression | L2-regularized linear regression |
| Công trình gốc≠ | Cook, R. D. (1977). Detection of Influential Observations in Linear Regression. Technometrics, 19(1), 15-18. DOI ↗ | Wooldridge, J. M. (2019). Introductory Econometrics: A Modern Approach (7th ed.). Cengage Learning. ISBN: 978-1337558860 | Koenker, R. & Bassett, G., Jr. (1978). Regression Quantiles. Econometrica, 46(1), 33-50. DOI ↗ | Hoerl, A.E. & Kennard, R.W. (1970). Ridge Regression: Biased Estimation for Nonorthogonal Problems. Technometrics, 12(1), 55–67. DOI ↗ |
| Tên gọi khác≠ | Cook's distance, DFFITS, leverage, influential observation detection | ordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonu | conditional quantile regression, regression quantiles, Kantil Regresyon | Ridge Regresyonu, ridge regresyonu, L2-regularized regression, Tikhonov regularization |
| Liên quan≠ | 5 | 5 | 5 | 4 |
| Tóm tắt≠ | Influence diagnostics are a family of post-fit measures that quantify how much each single observation affects a fitted regression. Cook's distance was introduced by R. Dennis Cook in 1977, with leverage and DFFITS formalised by Belsley, Kuh and Welsch in 1980, to flag the observations that most strongly pull the estimated coefficients. | 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). | Quantile regression models conditional quantiles of an outcome - the median, the 25th or 75th percentile, and so on - rather than the conditional mean that OLS targets. Introduced by Koenker and Bassett in 1978, it reveals how predictors act across the whole distribution, including its tails. | Ridge Regression is an L2-regularized linear regression method, introduced by Arthur Hoerl and Robert Kennard in 1970, that reduces multicollinearity by adding a penalty on the size of the coefficients. It shrinks coefficients toward zero without setting any of them exactly to zero, producing more stable estimates when predictors are highly correlated. |
| ScholarGateBộ dữ liệu ↗ |
|
|
|
|