Estimating the Antimicrobial Log Reduction: Part 1. Quantitative Assays

Estimating the Antimicrobial Log Reduction: Part 1. Quantitative Assays In quantitative antimicrobial assays, the responses are counts of viable microbes in two treatment groups. One group is treated with a chemical germicide and the other group is control, treated with an inactive chemical. This is part 1 of a pair of papers that pertain to assays that estimate the log reduction (LR), in the density of viable microbes, attributable to the germicide treatment (part 2 is concerned with presence/absence responses). Such assays are used by producers, consumers, and regulatory agencies to assess the efficacy of liquid germicides. We define and compare the two different mathematical formulations for LR that are commonly used in practice when there are replicate density measurements. One LR parameter is based on the mean of the log-transformed densities; the other is based on the logarithm of the mean of densities. We build a statistical model relating microbial count data to the LR parameters, derive maximum likelihood and method of moments estimators for each LR parameter, and compare the estimators according to both their asymptotic characteristics and the results of a simulation study utilizing realistic sample sizes. Standard error formulas for the estimators are derived, and they are evaluated via simulation studies. The results of this investigation lead us to recommend the method of moments estimator, regardless of which definition of LR is chosen. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Quantitative Microbiology Springer Journals

Estimating the Antimicrobial Log Reduction: Part 1. Quantitative Assays

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Publisher
Springer Journals
Copyright
Copyright © 1999 by Kluwer Academic Publishers
Subject
Environment; Environmental Engineering/Biotechnology
ISSN
1388-3593
eISSN
1572-9923
D.O.I.
10.1023/A:1010072226737
Publisher site
See Article on Publisher Site

Abstract

In quantitative antimicrobial assays, the responses are counts of viable microbes in two treatment groups. One group is treated with a chemical germicide and the other group is control, treated with an inactive chemical. This is part 1 of a pair of papers that pertain to assays that estimate the log reduction (LR), in the density of viable microbes, attributable to the germicide treatment (part 2 is concerned with presence/absence responses). Such assays are used by producers, consumers, and regulatory agencies to assess the efficacy of liquid germicides. We define and compare the two different mathematical formulations for LR that are commonly used in practice when there are replicate density measurements. One LR parameter is based on the mean of the log-transformed densities; the other is based on the logarithm of the mean of densities. We build a statistical model relating microbial count data to the LR parameters, derive maximum likelihood and method of moments estimators for each LR parameter, and compare the estimators according to both their asymptotic characteristics and the results of a simulation study utilizing realistic sample sizes. Standard error formulas for the estimators are derived, and they are evaluated via simulation studies. The results of this investigation lead us to recommend the method of moments estimator, regardless of which definition of LR is chosen.

Journal

Quantitative MicrobiologySpringer Journals

Published: Oct 15, 2004

References

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