Evidence Synthesis for Decision Making 2: A Generalized Linear Modeling Framework for Pairwise and Network Meta-analysis of Randomized Controlled Trials

Sofia Dias*, Alex J. Sutton, A E Ades, Nicky J Welton

*Corresponding author for this work

Research output: Contribution to journalArticle (Academic Journal)

498 Citations (Scopus)
400 Downloads (Pure)

Abstract

We set out a generalized linear model framework for the synthesis of data from randomized controlled trials. A common model is described, taking the form of a linear regression for both fixed and random effects synthesis, which can be implemented with normal, binomial, Poisson, and multinomial data. The familiar logistic model for meta-analysis with binomial data is a generalized linear model with a logit link function, which is appropriate for probability outcomes. The same linear regression framework can be applied to continuous outcomes, rate models, competing risks, or ordered category outcomes by using other link functions, such as identity, log, complementary log-log, and probit link functions. The common core model for the linear predictor can be applied to pairwise meta-analysis, indirect comparisons, synthesis of multiarm trials, and mixed treatment comparisons, also known as network meta-analysis, without distinction. We take a Bayesian approach to estimation and provide WinBUGS program code for a Bayesian analysis using Markov chain Monte Carlo simulation. An advantage of this approach is that it is straightforward to extend to shared parameter models where different randomized controlled trials report outcomes in different formats but from a common underlying model. Use of the generalized linear model framework allows us to present a unified account of how models can be compared using the deviance information criterion and how goodness of fit can be assessed using the residual deviance. The approach is illustrated through a range of worked examples for commonly encountered evidence formats.
Original languageEnglish
Pages (from-to)607-617
Number of pages11
JournalMedical Decision Making
Volume33
Issue number5
Early online date26 Oct 2012
DOIs
Publication statusPublished - Jul 2013

Keywords

  • generalized linear model
  • network meta-analysis
  • indirect evidence
  • meta-analysis
  • mixed treatment comparison
  • clinical trials
  • binary outcomes
  • consistency
  • tables

Projects

Activities

  • 3 Participation in workshop, seminar, course
  • 2 Invited talk

37th Annual Conference, International Society for Clinical Biostatistics

Sofia Dias (Speaker)

21 Aug 201625 Aug 2016

Activity: Participating in or organising an event typesInvited talk

HEOR Indirect: Comparaciones indirectas entre fármacos. Metodología y aplicación.

Sofia Dias (Speaker)

3 Nov 2015

Activity: Participating in or organising an event typesInvited talk

INSERM Workshop 234: Network meta-analysis

Sofia Dias (Invited speaker)

4 Jun 2015

Activity: Participating in or organising an event typesParticipation in workshop, seminar, course

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