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Robust variance estimation in meta-regression with dependent effect size estimates.

Authors
  • Hedges, Larry V
  • Tipton, Elizabeth
  • Johnson, Matthew C
Type
Published Article
Journal
Research synthesis methods
Publication Date
Jan 01, 2010
Volume
1
Issue
1
Pages
39–65
Identifiers
DOI: 10.1002/jrsm.5
PMID: 26056092
Source
Medline
Keywords
License
Unknown

Abstract

Conventional meta-analytic techniques rely on the assumption that effect size estimates from different studies are independent and have sampling distributions with known conditional variances. The independence assumption is violated when studies produce several estimates based on the same individuals or there are clusters of studies that are not independent (such as those carried out by the same investigator or laboratory). This paper provides an estimator of the covariance matrix of meta-regression coefficients that are applicable when there are clusters of internally correlated estimates. It makes no assumptions about the specific form of the sampling distributions of the effect sizes, nor does it require knowledge of the covariance structure of the dependent estimates. Moreover, this paper demonstrates that the meta-regression coefficients are consistent and asymptotically normally distributed and that the robust variance estimator is valid even when the covariates are random. The theory is asymptotic in the number of studies, but simulations suggest that the theory may yield accurate results with as few as 20-40 studies. Copyright © 2010 John Wiley & Sons, Ltd.

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