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Bayesian hierarchical modelling of bacteria growth

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  • Palacios, Ana Paula
  • Wiper, Michael Peter
  • Marín Díazaraque, Juan Miguel

Abstract

Bacterial growth models are commonly used in food safety. Such models permit the prediction of microbial safety and the shelf life of perishable foods. In this paper, we study the problem of modelling bacterial growth when we observe multiple experimental results under identical environmental conditions. We develop a hierarchical version of the Gompertz equation to take into account the possibility of replicated experiments and we show how it can be fitted using a fully Bayesian approach. This approach is illustrated using experimental data from Listeria monocytogenes growth and the results are compared with alternative models. Model selection is undertaken throughout using an appropriate version of the deviance information criterion and the posterior predictive loss criterion. Models are fitted using WinBUGS via R2WinBUGS.

Suggested Citation

  • Palacios, Ana Paula & Wiper, Michael Peter & Marín Díazaraque, Juan Miguel, 2010. "Bayesian hierarchical modelling of bacteria growth," DES - Working Papers. Statistics and Econometrics. WS ws102109, Universidad Carlos III de Madrid. Departamento de Estadística.
  • Handle: RePEc:cte:wsrepe:ws102109
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    1. David J. Spiegelhalter & Nicola G. Best & Bradley P. Carlin & Angelika van der Linde, 2002. "Bayesian measures of model complexity and fit," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 64(4), pages 583-639.
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    Keywords

    Bayesian hierarchical modelling;

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