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Matrix models for childhood infections: a Bayesian approach with applications to rubella and mumps

Kanaan, M.N. and Farrington, C.P. (2005) Matrix models for childhood infections: a Bayesian approach with applications to rubella and mumps. Journal of Epidemiology and Infections, 133 (6). pp. 1009-1021. ISSN 0950-2688

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Abstract

Mathematical modelling is an established tool for planning and monitoring vaccination programmes. However, the matrices describing contact rates are based on subjective choices, which have a large impact on results. This paper reviews published models and obtains prior model probabilities based on publication frequency and expert opinion. Using serological survey data on rubella and mumps, Bayesian methods of model choice are applied to select the most plausible models. Estimates of the basic reproduction number R0 are derived, taking into account model uncertainty and individual heterogeneity in contact rates. Twenty-two models are documented, for which publication frequency and expert opinion are negatively correlated. Using the expert prior with individual heterogeneity, R0=6·1 [95% credible region (CR) 4·3–9·2] for rubella and R0=19·3 (95% CR 4·0–31·5) for mumps. The posterior modes are insensitive to the prior for rubella but not for mumps. Overall, assortative models with individual heterogeneity are recommended.

Item Type: Article
Academic Units: The University of York > Health Sciences (York)
Depositing User: York RAE Import
Date Deposited: 22 Apr 2009 14:02
Last Modified: 22 Apr 2009 14:02
Published Version: http://dx.doi.org/10.1017/S0950268805004528
Status: Published
Publisher: Cambridge University Press
Identification Number: 10.1017/S0950268805004528
URI: http://eprints.whiterose.ac.uk/id/eprint/6638

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