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| 메타 회귀 분석× | 가중 최소 제곱법 (Weighted Least Squares, WLS)× | |
|---|---|---|
| 분야≠ | 메타분석 | 통계학 |
| 계열 | Regression model | Regression model |
| 기원 연도≠ | 2002 | 1935 |
| 창시자≠ | Simon Thompson & Julian Higgins | Alexander Craig Aitken |
| 유형≠ | Weighted regression for effect-size heterogeneity | Weighted linear estimator |
| 원전≠ | 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 ↗ |
| 별칭 | Meta-Analytic Regression, Weighted Regression in Meta-Analysis, Moderator Analysis, Meta-regresyon | WLS, weighted regression, heteroscedasticity-corrected OLS, variance-weighted least squares |
| 관련≠ | 2 | 3 |
| 요약≠ | 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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