Bayesian meta-analysis: The role of the between-sample heterogeneity

Statistical Methods in Medical Research
Elías MorenoMiguel A Negrín

Abstract

The random effect approach for meta-analysis was motivated by a lack of consistent assessment of homogeneity of treatment effect before pooling. The random effect model assumes that the distribution of the treatment effect is fully heterogenous across the experiments. However, other models arising by grouping some of the experiments are plausible. We illustrate on simulated binary experiments that the fully heterogenous model gives a poor meta-inference when fully heterogeneity is not the true model and that the knowledge of the true cluster model considerably improves the inference. We propose the use of a Bayesian model selection procedure for estimating the true cluster model, and Bayesian model averaging to incorporate into the meta-analysis the clustering estimation. A well-known meta-analysis for six major multicentre trials to assess the efficacy of a given dose of aspirin in post-myocardial infarction patients is reanalysed.

References

Sep 1, 1986·Controlled Clinical Trials·R DerSimonian, N Laird
Jul 12, 2002·Statistics in Medicine·Julian P T Higgins, Simon G Thompson
Sep 6, 2003·BMJ : British Medical Journal·Julian P T HigginsDouglas G Altman
Jun 21, 2006·Psychological Methods·Tania B Huedo-MedinaJuan Botella
Jun 5, 2013·Journal of the American Statistical Association·Dulal K BhaumikRobert D Gibbons
Apr 9, 2014·Statistics in Medicine·E MorenoM A Negrín
Oct 12, 2014·Journal of Clinical Epidemiology·Kirsty M RhodesJulian P T Higgins
Sep 4, 2015·Research Synthesis Methods·Areti Angeliki VeronikiGeorgia Salanti

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Citations

Mar 12, 2019·Research Synthesis Methods·Ilyas BakbergenulyElena Kulinskaya
Sep 15, 2017·Psychological Science·Benjamin ScheibehenneEric-Jan Wagenmakers
Jan 23, 2021·International Journal of Environmental Research and Public Health·Miguel-Angel Negrín-HernándezFrancisco-José Vázquez-Polo
Nov 2, 2021·Frontiers in Endocrinology·Yu-Sheng ZhangBao-Cheng Xie

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