A comparison of spiking experiments to estimate the detection proportion of qualitative microbiological methods

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Abstract

The detection proportion of a qualitative microbiological test method is the probability to detect a single micro-organism. A general expression for the moment estimator of the detection proportion is provided. It depends on the distribution of the spikes used in a validation study through its moment-generating function. Several forms of spiking experiments are compared on their estimation performance using simulations and assuming a generalized Poisson distribution (GPD) for the spikes. The optimal design, which minimizes the mean squared error of our proposed moment estimator, depends on the dispersion parameter of the GPD. The design that uses just one spiked solution instead of multiple solutions is optimal for Poisson and overdispersed Poisson and it is robust against distributions for the spikes.

Original languageEnglish
Pages (from-to)30-55
Number of pages26
JournalJournal of Biopharmaceutical Statistics
Volume29
Issue number1
DOIs
Publication statusPublished - 21 Mar 2018

Fingerprint

Poisson Distribution
Qualitative Methods
Generalized Poisson Distribution
Spike
Moment Estimator
Proportion
Validation Studies
Siméon Denis Poisson
Estimate
Experiment
Dispersion Parameter
Moment generating function
Microorganisms
Multiple Solutions
Mean Squared Error
Minimise
Simulation

Keywords

  • Dilution experiment
  • generalized Poisson distribution
  • moment estimator
  • optimal design
  • validation of microbiological methods

Cite this

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