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メタ回帰分析×ネットワークメタアナリシス×加重最小二乗法 (WLS)×
分野メタアナリシスエビデンス統合統計学
系統Regression modelProcess / pipelineRegression model
提唱年200220021935
提唱者Simon Thompson & Julian HigginsLumley (2002)Alexander Craig Aitken
種類Weighted regression for effect-size heterogeneityMethodWeighted linear estimator
原典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 ↗Lumley, T. (2002). Network meta-analysis for indirect treatment comparisons. Statistics in Medicine, 21(16), 2313–2324. 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 ↗
別名Meta-Analytic Regression, Weighted Regression in Meta-Analysis, Moderator Analysis, Meta-regresyonMixed Treatment Comparison, MTC, Indirect Comparison Meta-AnalysisWLS, weighted regression, heteroscedasticity-corrected OLS, variance-weighted least squares
関連213
概要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.Network meta-analysis (NMA) is a systematic method for comparing multiple interventions simultaneously within a single analytical framework, incorporating both direct evidence (head-to-head trials) and indirect evidence (comparisons via common comparators). First formalized by Lumley in 2002, NMA allows researchers to rank treatments and quantify comparative effectiveness even when some treatment pairs have never been directly studied.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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ScholarGate手法を比較: Meta-Regression · Network Meta-Analysis · Weighted Least Squares. 2026-06-19に以下より取得 https://scholargate.app/ja/compare