Random Effects Models for Combining Results from Controlled and Uncontrolled Studies in a Meta-Analysis
- 1 December 1994
- journal article
- review article
- Published by JSTOR in Journal of the American Statistical Association
- Vol. 89 (428) , 1523
- https://doi.org/10.2307/2291015
Abstract
A random effects model is used to analyze meta-analyses containing both controlled and uncontrolled studies. A noniterative estimator of the treatment effect is derived using least squares, with the between-study variance substituted by an empirical Bayes estimator. The estimator is shown to be strongly consistent when the between-study variance is known, and the variance estimator is also shown to be strongly consistent. The estimator is shown to have desirable heuristic properties.Keywords
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