Fitting a lognormal distribution to enumeration and absence/presence data

International Journal of Food Microbiology
Natalie CommeauMarie Cornu

Abstract

To fit a lognormal distribution to a complex set of microbial data, including detection data (e.g. presence or absence in 25g) and enumeration data (e.g. 30cfu/g), we compared two models: a model called M(CLD) based on data expressed as concentrations (in cfu/g) or censored concentrations (e.g. <10cfu/g, or >1cfu/25g) versus a model called M(RD) that directly uses raw data (presence/absence in test portions, and plate colony counts). We used these two models to simulated data sets, under standard conditions (limit of detection (LOD)=1cfu/25g; limit of quantification (LOQ)=10cfu/g) and used a maximum likelihood estimation method (directly for the model M(CLD) and via the Expectation-Maximisation (EM) algorithm for the model M(RD). The comparison suggests that in most cases estimates provided by the proposed model M(RD) are similar to those obtained by model M(CLD) accounting for censorship. Nevertheless, in some cases, the proposed model M(RD) leads to less biased and more precise estimates than model M(CLD).

References

Mar 5, 2004·International Journal of Food Microbiology·Nathalie Gnanou BesseBertrand Lombard
Mar 27, 2007·International Journal of Food Microbiology·M F Lorimer, A Kiermeier
Apr 3, 2007·Letters in Applied Microbiology·A BeaufortM Cornu
Feb 18, 2009·Risk Analysis : an Official Publication of the Society for Risk Analysis·Régis PouillotMarie Cornu
Aug 3, 2010·International Journal of Food Microbiology·Régis Pouillot, Marie Laure Delignette-Muller
Nov 3, 2011·Risk Analysis : an Official Publication of the Society for Risk Analysis·Natalie CommeauEric Parent

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Citations

Feb 5, 2014·International Journal of Food Microbiology·Michael S Williams, Eric D Ebel
Feb 10, 2016·Risk Analysis : an Official Publication of the Society for Risk Analysis·Antti MikkeläPirkko Tuominen
Dec 22, 2015·International Journal of Food Microbiology·P M GurmanA Kiermeier
Apr 14, 2015·International Journal of Food Microbiology·Luís Gustavo CorbelliniMaarten Nauta
Dec 19, 2014·International Journal of Food Microbiology·A S R DuarteM J Nauta
Dec 17, 2014·International Journal of Food Microbiology·A S R Duarte, M J Nauta
Oct 23, 2018·Frontiers in Microbiology·Alex Ho Shing ChikMonica B Emelko
Sep 1, 2017·Shokuhin eiseigaku zasshi. Journal of the Food Hygienic Society of Japan·Hiroshi Fujikawa
Aug 20, 2021·Journal of Food Protection·Aaron T E Beczkiewicz, Barbara B Kowalcyk

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