Implementation of the Gibbs sampler for estimating the accuracy of multiple binary diagnostic tests in one population has been investigated. This method, proposed by Joseph, Gyorkos and Coupal, makes use of a Bayesian approach and is used in the absence of a gold standard to estimate the prevalence, the sensitivity and specificity of medical diagnostic tests. The expressions that allow this method to be implemented for an arbitrary number of tests are given. By using the convergence diagnostics procedure of Raftery and Lewis, the relation between the number of iterations of Gibbs sampling and the precision of the estimated quantiles of the posterior distributions is derived. An example concerning a data set of gastro-esophageal reflux disease patients collected to evaluate the accuracy of the water siphon test compared with 24 h pH-monitoring, endoscopy and histology tests is presented. The main message that emerges from our analysis is that implementation of the Gibbs sampler to estimate the parameters of multiple binary diagnostic tests can be critical and convergence diagnostic is advised for this method. The factors which affect the convergence of the chains to the posterior distributions and those that influence the precision of their quantiles are analyzed.

Principato, F., Vullo, A., Matranga, D. (2010). On implementation of the Gibbs sampler for estimating the accuracy of multiple diagnostic tests. JOURNAL OF APPLIED STATISTICS, 37(8), 1335-1354 [10.1080/02664760903030239].

On implementation of the Gibbs sampler for estimating the accuracy of multiple diagnostic tests

PRINCIPATO, Fabio;VULLO, Angela;MATRANGA, Domenica
2010-01-01

Abstract

Implementation of the Gibbs sampler for estimating the accuracy of multiple binary diagnostic tests in one population has been investigated. This method, proposed by Joseph, Gyorkos and Coupal, makes use of a Bayesian approach and is used in the absence of a gold standard to estimate the prevalence, the sensitivity and specificity of medical diagnostic tests. The expressions that allow this method to be implemented for an arbitrary number of tests are given. By using the convergence diagnostics procedure of Raftery and Lewis, the relation between the number of iterations of Gibbs sampling and the precision of the estimated quantiles of the posterior distributions is derived. An example concerning a data set of gastro-esophageal reflux disease patients collected to evaluate the accuracy of the water siphon test compared with 24 h pH-monitoring, endoscopy and histology tests is presented. The main message that emerges from our analysis is that implementation of the Gibbs sampler to estimate the parameters of multiple binary diagnostic tests can be critical and convergence diagnostic is advised for this method. The factors which affect the convergence of the chains to the posterior distributions and those that influence the precision of their quantiles are analyzed.
2010
Settore MED/01 - Statistica Medica
Settore FIS/03 - Fisica Della Materia
Principato, F., Vullo, A., Matranga, D. (2010). On implementation of the Gibbs sampler for estimating the accuracy of multiple diagnostic tests. JOURNAL OF APPLIED STATISTICS, 37(8), 1335-1354 [10.1080/02664760903030239].
File in questo prodotto:
File Dimensione Formato  
Articolo Gibbs sampler JAS 2010 definitivo.pdf

accesso aperto

Dimensione 437.17 kB
Formato Adobe PDF
437.17 kB Adobe PDF Visualizza/Apri
On implementation of the Gibbs sampler for estimating the accuracy of multiple diagnostic test_JAS_2010.pdf

accesso aperto

Dimensione 437.17 kB
Formato Adobe PDF
437.17 kB Adobe PDF Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/50691
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 2
  • ???jsp.display-item.citation.isi??? 2
social impact