An one-factor copula mixed model for joint meta-analysis of multiple diagnostic tests

Nikoloulopoulos, Aristidis K. ORCID: https://orcid.org/0000-0003-0853-0084 (2022) An one-factor copula mixed model for joint meta-analysis of multiple diagnostic tests. Journal of the Royal Statistical Society: Series A (Statistics in Society), 185 (3). pp. 1398-1423. ISSN 0964-1998

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Abstract

As meta-analysis of multiple diagnostic tests impacts clinical decision making and patient health, there is an increasing body of research in models and methods for meta-analysis of studies comparing multiple diagnostic tests. The application of the existing models to compare the accuracy of three or more tests suffers from the curse of multi-dimensionality, that is, either the number of model parameters increases rapidly or high dimensional integration is required. To overcome these issues in joint meta-analysis of studies comparing T > 2 diagnostic tests in a multiple tests design with a gold standard, we propose a model that assumes the true positives and true negatives for each test are conditionally independent and binomially distributed given the 2T-variate latent vector of sensitivities and specificities. For the random effects distribution, we employ a one-factor copula that provides tail dependence or tail asymmetry. Maximum likelihood estimation of the model is straightforward as the derivation of the likelihood requires bi-dimensional instead of 2T-dimensional integration. Our methodology is demonstrated with an extensive simulation study and an application example that determines which is the best test for the diagnosis of rheumatoid arthritis.

Item Type: Article
Uncontrolled Keywords: diagnostic tests,factor copulas,mixed models,multivariate meta-analysis,specificity,summary receiver operating characteristic curves,economics and econometrics,statistics and probability,social sciences (miscellaneous),statistics, probability and uncertainty,4* ,/dk/atira/pure/subjectarea/asjc/2000/2002
Faculty \ School: Faculty of Science > School of Computing Sciences
Related URLs:
Depositing User: LivePure Connector
Date Deposited: 21 Feb 2022 11:30
Last Modified: 27 Oct 2022 00:15
URI: https://ueaeprints.uea.ac.uk/id/eprint/83611
DOI: 10.1111/rssa.12838

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