A D-vine copula mixed model for joint meta-analysis and comparison of diagnostic tests

Type: Article

Publication Date: 2018-09-26

Citations: 8

DOI: https://doi.org/10.1177/0962280218796685

Abstract

For a particular disease there may be two diagnostic tests developed, where each of the tests is subject to several studies. A quadrivariate generalized linear mixed model (GLMM) has been recently proposed to joint meta-analyse and compare two diagnostic tests. We propose a D-vine copula mixed model for joint meta-analysis and comparison of two diagnostic tests. Our general model includes the quadrivariate GLMM as a special case and can also operate on the original scale of sensitivities and specificities. The method allows the direct calculation of sensitivity and specificity for each test, as well as, the parameters of the summary receiver operator characteristic (SROC) curve, along with a comparison between the SROCs of each test. Our methodology is demonstrated with an extensive simulation study and illustrated by meta-analysing two examples where 2 tests for the diagnosis of a particular disease are compared. Our study suggests that there can be an improvement on GLMM in fit to data since our model can also provide tail dependencies and asymmetries.

Locations

  • Statistical Methods in Medical Research - View
  • arXiv (Cornell University) - View - PDF
  • UEA Digital Repository (University of East Anglia) - View - PDF
  • PubMed - View
  • DataCite API - View

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Works Cited by This (21)

Action Title Year Authors
+ Compact Numerical Methods for Computers: Linear Algebra and Function Minimisation 1990 John C. Nash
+ PDF Chat Families of $m$-variate distributions with given margins and $m(m-1)/2$ bivariate dependence parameters 1996 Harry Joe
+ PDF Chat A mixed effect model for bivariate meta‐analysis of diagnostic test accuracy studies using a copula representation of the random effects distribution 2015 Aristidis K. Nikoloulopoulos
+ Methods for the joint meta‐analysis of multiple tests 2014 Thomas A Trikalinos
David C. Hoaglin
Kevin Small
Norma Terrin
Christopher H. Schmid
+ PDF Chat A vine copula mixed effect model for trivariate meta-analysis of diagnostic test accuracy studies accounting for disease prevalence 2015 Aristidis K. Nikoloulopoulos
+ Meta‐analysis for diagnostic accuracy studies: a new statistical model using beta‐binomial distributions and bivariate copulas 2013 Oliver Kuß
Annika Hoyer
Alexander Solms
+ Bivariate meta-analysis of sensitivity and specificity with sparse data: a generalized linear mixed model approach 2006 Haitao Chu
Stephen R. Cole
+ A practical introduction to multivariate meta-analysis 2012 Dimitris Mavridis
Georgia Salanti
+ PDF Chat Statistical methods for multivariate meta-analysis of diagnostic tests: An overview and tutorial 2013 Xiaoye Ma
Lei Nie
Stephen R. Cole
Haitao Chu
+ Rejoinder to commentaries on ‘Multivariate meta‐analysis: Potential and promise’ 2011 Dan Jackson
Ian R. White
Richard D. Riley