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B6O3 | A Bayesian selection model for incorporating prior information for publication bias in meta-analysis

Abstract text
Background:The Copas’ parametric model is aimed at exploring the potential impact of publication bias via sensitivity analysis, by making assumptions regarding the probability of publication of individual studies related to the standard error of their effect sizes(Copas and Shi). Reviewers often have prior knowledge about the extent of selection in the set of studies included in a meta-analysis. However, a Bayesian implementation of the Copas model has not been studied yet.

Objectives:To present a Bayesian selection model for publication bias and to extend it to the case of multiple-treatments meta-analysis.

Methods:We explored various models corresponding to the shape of the association between precision and probability of publication. We used a dataset of antidepressant studies submitted to the US regulatory agency (Food and Drug Administration), according to Turner and colleagues (Turner et al.). We took advantage of the greater flexibility offered in the Bayesian context to incorporate in the model prior information on the extent and strength of selection. To derive prior distributions, we used both external data and an elicitation process of expert opinion.

Results:The Copas model assumes a likelihood approach which requires strong assumptions for the model to be identified and a sensitivity analysis is employed. Bayesian implementation using informative priors provides a solution to this problem by explaining adequately the selection process and giving clear-cut results. Extension of the model for multiple-treatments meta-analysis allows incorporation of comparison-specific priors beliefs and thus allowed a flexible class of models to be fit.

Conclusions:A Bayesian framework utilizing expert opinion provided a powerful and easily understood approach.

Reference List
Copas, J. and J. Shi. "A sensitivity analysis for publication bias in systematic reviews." Stat.Methods.Med.Res. 10.4 (2001): 251-65.
Turner, E., et al. "Selective publication of antidepressant trials and its influence on apparent efficacy." N.Engl.J Med 358.3 (2008): 252-60.

Authors
Mavridis D1, Cipriani A2, Sutton A3, Salanti G1
1 Department of Hygiene and Epidemiology, University of Ioannina School of Medicine, Ioannina, Greece
2 Department of Public Health and Community Medicine, Section of Psychiatry and Clinical Psychology, University of Verona, Policlinico "G.B. Rossi"
3 Department of Health Sciences University of Leicester
Presenting author and contact person
Presenting author: 
Dimitris Mavridis
Contact person: 
Dimitris Mavridis (Contact this person)
Date and Location
Session: 
Oral session B6O3
Date: 
Saturday 22 October 2011 - 12:05 - 12:25
Location: