Meta-regression approximations to reduce publication selection bias

Stanley, T.D. and Doucouliagos, Hristos 2014, Meta-regression approximations to reduce publication selection bias, Research synthesis methods, vol. 5, no. 1, pp. 60-78, doi: 10.1002/jrsm.1095.

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Title Meta-regression approximations to reduce publication selection bias
Author(s) Stanley, T.D.
Doucouliagos, HristosORCID iD for Doucouliagos, Hristos
Journal name Research synthesis methods
Volume number 5
Issue number 1
Start page 60
End page 78
Total pages 19
Publisher Wiley-Blackwell
Place of publication London, Eng.
Publication date 2014-03
ISSN 1759-2887
Keyword(s) meta-regression
publication selection bias
systematic reviews, truncation
Summary Publication selection bias is a serious challenge to the integrity of all empirical sciences. We derive meta-regression approximations to reduce this bias. Our approach employs Taylor polynomial approximations to the conditional mean of a truncated distribution. A quadratic approximation without a linear term, precision-effect estimate with standard error (PEESE), is shown to have the smallest bias and mean squared error in most cases and to outperform conventional meta-analysis estimators, often by a great deal. Monte Carlo simulations also demonstrate how a new hybrid estimator that conditionally combines PEESE and the Egger regression intercept can provide a practical solution to publication selection bias. PEESE is easily expanded to accommodate systematic heterogeneity along with complex and differential publication selection bias that is related to moderator variables. By providing an intuitive reason for these approximations, we can also explain why the Egger regression works so well and when it does not. These meta-regression methods are applied to several policy-relevant areas of research including antidepressant effectiveness, the value of a statistical life, the minimum wage, and nicotine replacement therapy.
Language eng
DOI 10.1002/jrsm.1095
Field of Research 140199 Economic Theory not elsewhere classified
Socio Economic Objective 970114 Expanding Knowledge in Economics
HERDC Research category C1.1 Refereed article in a scholarly journal
ERA Research output type C Journal article
Copyright notice ©2013, John Wiley & Sons
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Document type: Journal Article
Collections: Faculty of Business and Law
Department of Economics
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