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| Hồi quy siêu phân tích× | Bình phương tối thiểu có trọng số (WLS)× | |
|---|---|---|
| Lĩnh vực≠ | Phân tích tổng hợp | Thống kê |
| Họ | Regression model | Regression model |
| Năm ra đời≠ | 2002 | 1935 |
| Người khởi xướng≠ | Simon Thompson & Julian Higgins | Alexander Craig Aitken |
| Loại≠ | Weighted regression for effect-size heterogeneity | Weighted linear estimator |
| Công trình gốc≠ | Thompson, S. G., & Higgins, J. P. T. (2002). How should meta-regression analyses be undertaken and interpreted? Statistics in Medicine, 21(11), 1559–1573. DOI ↗ | Aitken, A. C. (1935). IV.—On least squares and linear combination of observations. Proceedings of the Royal Society of Edinburgh, 55, 42–48. DOI ↗ |
| Tên gọi khác | Meta-Analytic Regression, Weighted Regression in Meta-Analysis, Moderator Analysis, Meta-regresyon | WLS, weighted regression, heteroscedasticity-corrected OLS, variance-weighted least squares |
| Liên quan≠ | 2 | 3 |
| Tóm tắt≠ | Meta-regression is a statistical technique that extends conventional meta-analysis by regressing study-level effect sizes on one or more study characteristics (moderators) to explain between-study heterogeneity. Formalized by Thompson and Higgins in 2002, it uses weighted least squares — weighting each study by the inverse of its variance — within a mixed-effects framework, allowing researchers to identify which study features systematically account for variation in observed effects across the literature. | 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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