How to Conduct a Bayesian Network Meta-Analysis

Network meta-analysis is a general approach to integrate the results of multiple studies in which multiple treatments are compared, often in a pairwise manner. In this tutorial, we illustrate the procedures for conducting a network meta-analysis for binary outcomes data in the Bayesian framework using example data. Our goal is to describe the workflow of such an analysis and to explain how to generate informative results such as ranking plots and treatment risk posterior distribution plots. The R code used to conduct a network meta-analysis in the Bayesian setting is provided at GitHub.

[1]  Deborah M Caldwell,et al.  Undertaking network meta‐analyses , 2019, Cochrane Handbook for Systematic Reviews of Interventions.

[2]  Nicky J Welton,et al.  NICE DSU TECHNICAL SUPPORT DOCUMENT 5: EVIDENCE SYNTHESIS IN THE BASELINE NATURAL HISTORY MODEL , 2011 .

[3]  L. Hedges,et al.  Fixed- and random-effects models in meta-analysis. , 1998 .

[4]  Wolfgang Viechtbauer,et al.  Conducting Meta-Analyses in R with the metafor Package , 2010 .

[5]  Dan Jackson,et al.  Incorporating external evidence on between‐trial heterogeneity in network meta‐analysis , 2018, Statistics in medicine.

[6]  John Ioannidis,et al.  Exploring the Geometry of Treatment Networks , 2008, Annals of Internal Medicine.

[7]  Jacob Cohen,et al.  A power primer. , 1992, Psychological bulletin.

[8]  A M O'Connor,et al.  A mixed treatment meta-analysis of antibiotic treatment options for bovine respiratory disease - An update. , 2016, Preventive veterinary medicine.

[9]  D Hu,et al.  How to read and interpret the results of a Bayesian network meta-analysis: a short tutorial , 2019, Animal Health Research Reviews.

[10]  C. McCulloch,et al.  Generalized Linear Mixed Models , 2005 .

[11]  Alex J. Sutton,et al.  Evidence Synthesis for Decision Making 2 , 2013, Medical decision making : an international journal of the Society for Medical Decision Making.

[12]  Jeremy E. Oakley,et al.  Incorporating Genuine Prior Information about Between-Study Heterogeneity in Random Effects Pairwise and Network Meta-analyses , 2017, Medical decision making : an international journal of the Society for Medical Decision Making.

[13]  Joseph Beyene,et al.  Network Meta-Analysis Using R: A Review of Currently Available Automated Packages , 2014, PloS one.

[14]  Georgia Salanti,et al.  Indirect and mixed‐treatment comparison, network, or multiple‐treatments meta‐analysis: many names, many benefits, many concerns for the next generation evidence synthesis tool , 2012, Research synthesis methods.

[15]  Walter R. Gilks,et al.  A Language and Program for Complex Bayesian Modelling , 1994 .

[16]  Theo Stijnen,et al.  Advanced methods in meta‐analysis: multivariate approach and meta‐regression , 2002, Statistics in medicine.

[17]  Lifeng Lin,et al.  Performing Arm-Based Network Meta-Analysis in R with the pcnetmeta Package. , 2017, Journal of statistical software.

[18]  Nicky J Welton,et al.  NICE DSU Technical Support Document 2: A Generalised Linear Modelling Framework for Pairwise and Network Meta-Analysis of Randomised Controlled Trials , 2011 .

[19]  Kristian Thorlund,et al.  The PRISMA Extension Statement for Reporting of Systematic Reviews Incorporating Network Meta-analyses of Health Care Interventions: Checklist and Explanations , 2015, Annals of Internal Medicine.

[20]  M. Pittler Systematic Reviews in Health Care: Meta‐analysis in Context , 2010 .

[21]  Johannes B Reitsma,et al.  GetReal in network meta‐analysis: a review of the methodology , 2016, Research synthesis methods.

[22]  Bradley P. Carlin,et al.  Bayesian measures of model complexity and fit , 2002 .

[23]  Annette M O'Connor,et al.  A mixed treatment comparison meta-analysis of antibiotic treatments for bovine respiratory disease. , 2013, Preventive veterinary medicine.

[24]  Michele Tarsilla Cochrane Handbook for Systematic Reviews of Interventions , 2010, Journal of MultiDisciplinary Evaluation.

[25]  Douglas G Altman,et al.  Systematic reviews of evaluations of prognostic variables , 2001, BMJ : British Medical Journal.

[26]  A M O'Connor,et al.  Conducting Systematic Reviews of Intervention Questions III: Synthesizing Data from Intervention Studies Using Meta‐Analysis , 2014, Zoonoses and public health.

[27]  S Dias,et al.  Checking consistency in mixed treatment comparison meta‐analysis , 2010, Statistics in medicine.

[28]  Alex J. Sutton,et al.  Evidence Synthesis for Decision Making 2: A Generalized Linear Modeling Framework for Pairwise and Network Meta-analysis of Randomized Controlled Trials. , 2013 .

[29]  R Core Team,et al.  R: A language and environment for statistical computing. , 2014 .

[30]  Andrea Cipriani,et al.  Conceptual and Technical Challenges in Network Meta-analysis , 2013, Annals of Internal Medicine.

[31]  Audrey Béliveau,et al.  BUGSnet: an R package to facilitate the conduct and reporting of Bayesian network Meta-analyses , 2019, BMC Medical Research Methodology.

[32]  D. Rubin,et al.  Inference from Iterative Simulation Using Multiple Sequences , 1992 .

[33]  Martyn Plummer,et al.  JAGS: A program for analysis of Bayesian graphical models using Gibbs sampling , 2003 .

[34]  B J White,et al.  A mixed treatment comparison meta-analysis of metaphylaxis treatments for bovine respiratory disease in beef cattle. , 2017, Journal of animal science.

[35]  A Whitehead,et al.  Borrowing strength from external trials in a meta-analysis. , 1996, Statistics in medicine.

[36]  Annette M. O'Connor,et al.  Scoping Reviews, Systematic Reviews, and Meta-Analysis: Applications in Veterinary Medicine , 2020, Frontiers in Veterinary Science.

[37]  David R. Jones,et al.  How vague is vague? A simulation study of the impact of the use of vague prior distributions in MCMC using WinBUGS , 2005, Statistics in medicine.

[38]  A. Urbani,et al.  Pharmacological treatments in asthma‐affected horses: A pair‐wise and network meta‐analysis , 2017, Equine veterinary journal.

[39]  Nicky J Welton,et al.  Automating network meta‐analysis , 2012, Research synthesis methods.

[40]  G. Lu,et al.  Combination of direct and indirect evidence in mixed treatment comparisons , 2004, Statistics in medicine.

[41]  Joseph C Cappelleri,et al.  Indirect treatment comparison/network meta-analysis study questionnaire to assess relevance and credibility to inform health care decision making: an ISPOR-AMCP-NPC Good Practice Task Force report. , 2014, Value in health : the journal of the International Society for Pharmacoeconomics and Outcomes Research.

[42]  Kristian Thorlund,et al.  Modelling heterogeneity variances in multiple treatment comparison meta-analysis – Are informative priors the better solution? , 2013, BMC Medical Research Methodology.

[43]  Giuseppe Biondi-Zoccai,et al.  A Bayesian network meta-analysis for binary outcome: how to do it , 2016, Statistical methods in medical research.

[44]  Nicola J. Cooper,et al.  Using Network Meta-Analysis Of Individual Patient Data (IPD) & Summary Aggregate Data (SAD) To Identify Which Combinations Of Interventions Work Best For Which Individuals , 2017 .

[45]  Deborah M Caldwell,et al.  Simultaneous comparison of multiple treatments: combining direct and indirect evidence , 2005, BMJ : British Medical Journal.

[46]  Joseph C. Cappelleri,et al.  Use of Mixed Treatment Comparisons in Systematic Reviews , 2012 .

[47]  In-Soo Shin,et al.  Network meta-analysis: application and practice using Stata , 2017, Epidemiology and health.

[48]  H. Barkema,et al.  Effect of footbath protocols for prevention and treatment of digital dermatitis in dairy cattle: A systematic review and network meta-analysis. , 2019, Preventive veterinary medicine.