Title
Characterisation of within-batch and between-batch variability in microbial counts in foods using Poisson-gamma and Poisson-lognormal regression models
Date Issued
01 August 2011
Access level
metadata only access
Resource Type
journal article
Author(s)
Butler F.
University College Dublin
Publisher(s)
Elsevier
Abstract
In modelling risk management strategies (i.e., acceptance sampling plans, statistical process control), two basic assumptions have been normally made: that the true concentration of microorganisms are log-normally distributed within a batch, and that the variance of the samples is the same for a little or highly contaminated lot. Within a heterogeneous Poisson theoretical framework, these two assumptions have been evaluated by characterising the between-batch and within-batch variability in microbial counts. To this effect, three variants of regressions (random effects for within-batch means only, correlated and uncorrelated random effects for within-batch means and spread measures) based on the Poisson-gamma (m,1/. k) and the Poisson-lognormal (μ, σ) models were fitted to six microbial data sets of TVC, coliforms and Escherichia coli on pre-chill and post-chill beef carcasses sampled from different production batches. For the high counts data sets, the Poisson-lognormal regression with random effects for within-batch means (μ) provided a better model for the estimation of the within-batch and between-batch standard deviation; whereas for the low counts data sets, the Poisson-gamma regressions were superior for the characterisation of within-batch and between-batch variability. However, the selection of a complex Poisson-gamma model with correlated (m,1/. k) random effects against a simple Poisson-gamma with variable means (m) depended on the extent of between-batch heterogeneity in the dispersion factor 1/. k. The need to introduce the between-batch variability notion in risk management was further highlighted by assessing the real effectiveness of a hypothetical sampling plan operating under the best-fit correlated random effects Poisson-gamma approach, whereby the within-batch dispersion factor was variable and conditional on the within-batch mean. © 2011 Elsevier Ltd.
Start page
1268
End page
1278
Volume
22
Issue
8
Language
English
OCDE Knowledge area
Biología celular, Microbiología
Subjects
Scopus EID
2-s2.0-79953800520
Source
Food Control
ISSN of the container
09567135
Sponsor(s)
The authors wish to acknowledge the Food Institutional Research Measure (FIRM) administered by the Irish Department of Agriculture, Fisheries and Food, and the partial financial support of ProSafeBeef, an EU 6 th Framework project .
Sources of information:
Directorio de Producción Científica
Scopus