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A fully Bayesian application of the Copas selection model for publication bias extended to network meta-analysis

  1. Dimitris Mavridis1,2,*,
  2. Alex Sutton3,
  3. Andrea Cipriani4,5,
  4. Georgia Salanti1

Article first published online: 17 JUL 2012

DOI: 10.1002/sim.5494

Issue

Statistics in Medicine

Statistics in Medicine

Volume 32, Issue 1, pages 51–66, 15 January 2013

Additional Information

How to Cite

Mavridis, D., Sutton, A., Cipriani, A. and Salanti, G. (2013), A fully Bayesian application of the Copas selection model for publication bias extended to network meta-analysis. Statist. Med., 32: 51–66. doi: 10.1002/sim.5494

Author Information

  1. 1

    Department of Hygiene and Epidemiology, University of Ioannina School of Medicine, Ioannina, Greece

  2. 2

    Department of Primary Education, University of Ioannina, Ioannina, Greece

  3. 3

    Department of Health Sciences, University of Leicester, Leicester, U.K.

  4. 4

    Department of Public Health and Community Medicine, University of Verona, Verona, Italy

  5. 5

    Department of Psychiatry, University of Oxford, Oxford, U.K.

* Dimitris Mavridis, Department of Hygiene and Epidemiology, University of Ioannina, School of Medicine, Ioannina, Greece.
E-mail: dimi.mavridis@googlemail.com

Publication History

  1. Issue published online: 11 DEC 2012
  2. Article first published online: 17 JUL 2012
  3. Manuscript Accepted: 25 MAY 2012
  4. Manuscript Received: 15 NOV 2011

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References

  • 1
    Whittington CJ, Kendall T, Fonagy P, Cottrel D, Cotgrove A, Boddington E.Selective serotonin reuptake inhibitors in childhood depression: systematic review of published versus unpublished data. Lancet 2004; 363:1341–1345.
  • 2
    Thornton A, Lee P.Publication bias in meta analysis: its causes and consequences. Journal of Clinical Epidemiology 2000; 53:207–216.
  • 3
    Moreno SG, Sutton AJ, Ades AE, Stanley TD, Abrams KR, Peters JL, Cooper N.Assessment of regression-based methods to adjust for publication bias through a comprehensive simulation study. BMC Medical Research Methodology 2009; 9:2.
  • 4
    Sutton AJ, Song F, Gilbody SM, Abrams KR.Modelling publication bias in meta-analysis: a review. Statistical Methods in Medical Research 2000; 9:421–445.
  • 5
    Duval S, Tweedie R.A nonparametric " trim and fill" method of accounting for publication bias in meta-analysis. Journal of the American Statistical Association 2000; 95:89–98.
  • 6
    Duval S, Tweedie R.Trim and fill: a simple funnel-plot-based method of testing and adjusting for publication bias in meta-analysis. Biometircs 2000; 56:455–463.
    Direct Link:
  • 7
    Givens GH, Smith DD, Tweedie RL.Publication bias in meta-analysis: a Bayesian data-augmentation approach to account for issues exemplified in the passive smoking debate. Statistical Science 1997; 12:221–250.
  • 8
    Hedges LV.Modeling publication selection effects in meta-analysis. Statistical Science 1992; 7:246–255.
  • 9
    Rufibach K.Selection models with monotone weight functions in meta-analysis. Biometrical Journal 2011; 53:689–704.
    Direct Link:
  • 10
    Copas J, Shi JQ.Meta-analysis, funnel plots and sensitivity analysis. Biostatistics 2000; 1:247–262.
  • 11
    Copas JB.What works? Selectivity models and meta-analysis. Journal of the Royal Statistical Society, Seies A 1999; 162:95–109.
    Direct Link:
  • 12
    Copas JB, Shi JQ.A sensitivity analysis for publication bias in systematic reviews. Statistical Methods in Medical Research 2001; 10:251–265.
  • 13
    Heckman JJ.Sample selection bias as a specification error. Econometrica 2011; 47:153–161.
  • 14
    Schwarzer G, Carpenter J, Rucker G.Empirical evaluation suggests Copas selection model preferable to trim-and-fill method for selection bias in meta-analysis. Journal of Clinical Epidemiology 2010; 63:282–288.
  • 15
    Rucker G, Carpenter J, Schwarzer G.Detecting and adjusting for small-study in meta-analysis. Biometrical Journal 2011; 2:351–368.
    Direct Link:
  • 16
    StatSci aDoMI.{S-PLUS } Programmer's manual, [Version 3.1], Seattle, WA, USA, 1992.
  • 17
    R development core team.R: A language and environment for statistical computing, R foundation for statistical computing, Vienna, Austria, 2011.
  • 18
    Carpenter JR, Schwarzer G, Rucker G, Kunstler R.Empirical evaluation showed that the Copas selection model provided a useful summary in 80% of meta-analyses. Journal of Clinical Epidemiology 2009; 62:624–631.
  • 19
    Chootrakool H, Shi JQ, Yue R.Meta-analysis and sensitivity analysis for multi-arm trials with selection bias. Statistics in Medicine 2011; 30:1183–1198.
    Direct Link:
  • 20
    Lunn DJ, Thomas A, Best N, Spiegelhalter D.WinBUGS – a Bayesian modelling framework: concepts, structure, and extensibility. Statistics and Computing 2011; 10:325–337.
  • 21
    Turner EH, Matthews AM, Linardatos E, Tell RA, Rosenthal R.Selective publication of antidepressant trials and its influence on apparent efficacy. The New England Journal of Medicine 2008; 358:252–260.
  • 22
    Robert CR.Simulation of truncated normal variables. Statistics in Computing 1995; 5:121–125.
  • 23
    Egger M, Smith GD, Scheider M, Minder C.Bias in meta analysis detected by a simple graphical test. British Medical Journal 1997; 315:629–634.
  • 24
    Jackson D.The implications of publication bias for meta-analysi’ other parameters. Statistics in Medicine 2006; 25:2911–2921.
    Direct Link:
  • 25
    Peters JL, Sutton AJ, Jones DR, Abrams KR, Rushton L, Moreno SG.Assessing publication bias in meta analyses in the presence of between-study heterogeneity. Journal of the Royal Statistical Society, Seies A 2010; 173:575–591.
    Direct Link:
  • 26
    Lu G, Ades AE.Modeling between-trial variance structure in mixed treatment comparisons. Biostatistics 2009; 10:792–805.
  • 27
    Lambert PC, Sutton AJ, Burton PR, Abrams KR, Jones DR.How vague is vague? A simulation study of the impact of the use of vague prior distributions in MCMC using Winbugs. Statistics in Medicine 2005; 24:2401–2428.
    Direct Link:
  • 28
    Gelman R.Prior distributions for variance parameters in hierarchical models. Bayesian Analysis 2006; 1:515–533.
  • 29
    Haim S.Simple approximations for the inverse cumulative function, the density function and the loss integral of the normal distribution. Journal of the Royal Statistical Society, Series C 1982; 31:108–114.
  • 30
    Moreno SG, Sutton AJ, Turner EH, Abrams KR, Cooper NJ, Palmer TM, Ades AE.Novel methods to deal with publication biases: secondary analysis of antidepressant trials in the FDA trial registry database and related journal publications. British Medical Journal 2009; 339:b2981.
  • 31
    Moreno SG, Sutton AJ, Ades AE, Cooper NJ, Abrams KR.Adjusting for publication biases across similar interventions performed well when compared with gold standard data. Journal of Clinical Epidemiology 2011; 64:1230–1241.
  • 32
    Celeux G, Forbes F, Robert CR, Titterington DM.Deviance information criteria for missing data models. Bayesian Analysis 2006; 1:651–674.
  • 33
    Baker R, Jackson D.Using journal impact factors to correct for the publication bias of medical studies. Biometrics 2006; 62:785–792.
    Direct Link:
  • 34
    Bowden J, Jackson D, Thompson SG.Modelling multiple sources of dissemination bias in meta-analysis. Statistics in Medicine 2010; 29:945–955.
    Direct Link:
  • 35
    Cartinhour J.One-dimensional marginal density functions of a truncated multivariate normal density function. Communications in Statistics - Theory and Methods 1990; 19:197–203.
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