Open AccessA Bayesian approach to discrete multiple outcome network meta-analysis
Author(s) -
Rebecca Graziani,
Sergio Venturini
Publication year - 2020
Publication title -
plos one
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.99
H-Index - 332
ISSN - 1932-6203
DOI - 10.1371/journal.pone.0231876
Subject(s) - markov chain monte carlo , odds , computer science , statistics , random effects model , inference , bayesian probability , markov chain , binomial distribution , reversible jump markov chain monte carlo , bayesian inference , mathematics , meta analysis , artificial intelligence , logistic regression , medicine
In this paper we suggest a new Bayesian approach to network meta-analysis for the case of discrete multiple outcomes. The joint distribution of the discrete outcomes is modeled through a Gaussian copula with binomial marginals. The remaining elements of the hierarchial random effects model are specified in a standard way, with the logit of the success probabilities given by the sum of a baseline log-odds and random effects comparing the log-odds of each treatment against the reference and having a Gaussian distribution centered at the vector of pooled effects. An adaptive Markov Chain Monte Carlo algorithm is devised for running posterior inference. The model is applied to two datasets from Cochrane reviews, already analysed in two papers so to assess and compare its performance. We implemented the model in a freely available R package called netcopula .