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Bayesian estimation of variance partition coefficients adjusted for imperfect test sensitivity and specificity
Authors:Polychronis Kostoulas  Leonidas Leontides  William J Browne  Ian A Gardner
Institution:aLaboratory of Epidemiology, Biostatistics and Animal Health Economics, University of Thessaly, 224 Trikalon st., GR-43100 Karditsa, Greece;bSchool of Clinical Veterinary Sciences, University of Bristol, Bristol BS40 5DU, UK;cDepartment of Medicine and Epidemiology, School of Veterinary Medicine, University of California, Davis, CA 95616, USA
Abstract:The variance partition coefficient (VPC) measures the clustering of infection/disease among individuals with a specific covariate pattern. Covariate-pattern-specific VPCs provide insight to the groups of individuals that exhibit great heterogeneity and should be targeted for intervention. VPCs should be taken into consideration when planning study designs, modeling data and estimating sample sizes. We present a Bayesian discrete mixed model for the estimation of covariate-pattern-specific VPCs when measurement of the infection/disease is based on an imperfect test. The utility of the presented model is demonstrated with three applications. In all cases, imperfect tests biased VPC estimates towards the null but corrected estimates could be obtained by modeling the sensitivity and specificity of the test procedure with beta distributions. The comparison of adjusted VPCs between the intercept only and the fitted models with higher level covariates explained the portion of heterogeneity in the data that was accounted for by the covariates.
Keywords:Variance partition coefficient  Sensitivity  Specificity  Bayesian estimation  Paratuberculosis  Salmonellosis
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