Permanent URL to this publication: http://dx.doi.org/10.5167/uzh-34898
Paul, M; Riebler, A; Bachmann, L M; Rue, H; Held, L (2010). Bayesian bivariate meta-analysis of diagnostic test studies using integrated nested Laplace approximations. Statistics in Medicine, 29(12):1325-1339.
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For bivariate meta-analysis of diagnostic studies, likelihood approaches are very popular. However, they often run into numerical problems with possible non-convergence. In addition, the construction of confidence intervals is controversial. Bayesian methods based on Markov chain Monte Carlo (MCMC) sampling could be used, but are often difficult to implement, and require long running times and diagnostic convergence checks. Recently, a new Bayesian deterministic inference approach for latent Gaussian models using integrated nested Laplace approximations (INLA) has been proposed. With this approach MCMC sampling becomes redundant as the posterior marginal distributions are directly and accurately approximated. By means of a real data set we investigate the influence of the prior information provided and compare the results obtained by INLA, MCMC, and the maximum likelihood procedure SAS PROC NLMIXED. Using a simulation study we further extend the comparison of INLA and SAS PROC NLMIXED by assessing their performance in terms of bias, mean-squared error, coverage probability, and convergence rate. The results indicate that INLA is more stable and gives generally better coverage probabilities for the pooled estimates and less biased estimates of variance parameters. The user-friendliness of INLA is demonstrated by documented R-code.
|Item Type:||Journal Article, refereed, original work|
|Communities & Collections:||04 Faculty of Medicine > University Hospital Zurich > Clinic and Policlinic for Internal Medicine|
04 Faculty of Medicine > Institute of Social and Preventive Medicine
04 Faculty of Medicine > The Horten-Center for Applied Research and Science
|DDC:||610 Medicine & health|
|Date:||30 May 2010|
|Deposited On:||16 Jul 2010 16:12|
|Last Modified:||11 Jan 2013 08:33|
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