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Home›Meta Analysis›Meta-Regression
Regression modelEvidence synthesis

Meta-Regression

Also known as: Meta-Analytic Regression, Weighted Regression in Meta-Analysis, Moderator Analysis, Meta-regresyon

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.

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Meta-Regression
Network Meta-AnalysisWeighted Least SquaresDose-Response Meta-Analy…Meta-analytic Screening…Meta-Regression-Based Co…Publication Bias Analysis

When to use it

Meta-regression is appropriate when a meta-analysis reveals significant heterogeneity (I-squared > 25–50%) and the analyst has a priori hypotheses about study-level moderators that may explain it. It requires a sufficient number of studies — commonly at least ten studies per moderator to avoid overfitting. Assumptions include linearity of moderator effects and availability of moderator data for most included studies. When moderators are individual-level rather than study-level, individual participant data (IPD) meta-analysis is preferable. Subgroup analysis is a simpler alternative when moderators are categorical and studies are few.

Strengths & limitations

Strengths
  • Quantifies how much of between-study heterogeneity is explained by specific study characteristics
  • Accommodates multiple moderators simultaneously in a single model
  • Weights studies by precision, making full use of available statistical information
  • Provides an R-squared analog that communicates explanatory power in an interpretable metric
Limitations
  • Requires a large number of studies (typically 10+ per moderator) to yield reliable estimates
  • Ecological fallacy risk: study-level associations may not reflect individual-level relationships
  • Results are sensitive to the method chosen for estimating residual between-study variance
  • Cannot establish causality; confounding among study characteristics is common

Frequently asked

How many studies do I need to run a meta-regression?

There is no absolute minimum, but the widely cited rule of thumb is at least ten studies per moderator variable. With fewer studies the model is prone to overfitting, standard errors are underestimated, and results are unlikely to replicate. When the number of available studies is small, subgroup analysis or simple heterogeneity exploration is more appropriate than a full regression model.

What is the difference between fixed-effect and mixed-effects meta-regression?

Fixed-effect meta-regression assumes that after accounting for moderators all residual heterogeneity is zero — that is, only sampling error remains. Mixed-effects meta-regression adds a random-effects term (tau-squared) to allow for unexplained between-study variability beyond what the moderators capture. Mixed-effects models are generally preferred because the assumption of zero residual heterogeneity is rarely tenable in practice.

Can meta-regression prove that a moderator causes differences in effect sizes?

No. Meta-regression is observational at the study level and cannot establish causation. Moderator variables are often correlated with each other — for example, more recent studies may also use larger samples — making it difficult to isolate the unique contribution of any single characteristic. Findings should be interpreted as exploratory or hypothesis-generating unless supported by strong prior theory and pre-registration.

Sources

  1. 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: 10.1002/sim.1187 ↗

How to cite this page

ScholarGate. (2026, June 2). Meta-Regression. ScholarGate. https://scholargate.app/en/meta-analysis/meta-regression

Related methods

Network Meta-AnalysisWeighted Least Squares

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Referenced by

Dose-Response Meta-AnalysisMeta-analytic Screening Test EvaluationMeta-Regression-Based Co-Word AnalysisNetwork Meta-AnalysisPublication Bias Analysis

Similar methods

meta-regression-based meta-analysismeta-regression-based rapid reviewMeta-AnalysisMeta-Regression-Based Co-Word AnalysisMeta-analytic Randomized Clinical TrialTime-sliced Meta-analysisProtocol-based Meta-analysisPublication Bias Analysis

Related reference concepts

Meta-RegressionHeterogeneity in Meta-AnalysisHeterogeneity in Meta-AnalysisMeta-AnalysisStatistical Methods in Evidence SynthesisMeta-Analysis

Spotted an issue on this page? Report or suggest a fix →

ScholarGate — Meta-Regression (Meta-Regression). Retrieved 2026-07-22 from https://scholargate.app/en/meta-analysis/meta-regression · Dataset: https://doi.org/10.5281/zenodo.20539026
Quick facts
Originator
Simon Thompson & Julian Higgins
Year
2002
Type
Weighted regression for effect-size heterogeneity
Subfamily
Evidence synthesis
Input
Study-level effect sizes with variance estimates
Output
Regression coefficients explaining between-study variance
Related methods
Network Meta-AnalysisWeighted Least Squares
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