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How does the DerSimonian and Laird procedure for random effects meta-analysis compare with its more efficient but harder to compute counterparts?

Jackson, D, Bowden, J and Baker, RD 2010, 'How does the DerSimonian and Laird procedure for random effects meta-analysis compare with its more efficient but harder to compute counterparts?' , Journal of Statistical Planning and Inference, 140 (4) , pp. 961-970.

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Abstract

The procedure suggested by DerSimonian and Laird is the simplest and most commonly used method for fitting the random effects model for meta-analysis. Here it is shown that, unless all studies are of similar size, this is inefficient when estimating the between-study variance, but is remarkably efficient when estimating the treatment effect. If formal inference is restricted to statements about the treatment effect, and the sample size is large, there is little point in implementing more sophisticated methodology. However, it is further demonstrated, for a simple special case, that use of the profile likelihood results in actual coverage probabilities for 95% confidence intervals that are closer to nominal levels for smaller sample sizes. Alternative methods for making inferences for the treatment effect may therefore be preferable if the sample size is small, but the DerSimonian and Laird procedure retains its usefulness for larger samples.

Item Type: Article
Themes: Health and Wellbeing
Schools: Colleges and Schools > College of Business & Law > Salford Business School > Management Science and Statistics
Journal or Publication Title: Journal of Statistical Planning and Inference
Publisher: Elsevier
Refereed: Yes
ISSN: 0378-3758
Depositing User: Prof Rose Dawn Baker
Date Deposited: 18 Nov 2011 11:57
Last Modified: 20 Aug 2013 18:17
URI: http://usir.salford.ac.uk/id/eprint/18991

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