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A Multinomial Model for the Quality Control of Colony Counting Procedures
Author(s) -
Voss B.,
Kunert J.,
Dahms S.,
Weiss H.
Publication year - 2000
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/1521-4036(200007)42:3<263::aid-bimj263>3.0.co;2-6
Subject(s) - multinomial distribution , poisson distribution , statistics , negative binomial distribution , count data , binomial (polynomial) , statistical model , computer science , statistical hypothesis testing , sample (material) , binomial distribution , mathematics , chemistry , chromatography
The so‐called good‐laboratory‐practice (GLP) test provides an experimental design and appropriate statistical analysis for the problem of analyst performance assessment in microbiological laboratories. For a given sample material multiple dilution series are generated yielding colony counts from several dilution levels. Statistical evaluation is based on the assumption of Poisson‐distributed colony forming units. In this paper a new model based on conditional binomial and multinomial distributions is presented and it is shown how it is related to the standard model which assumes Poisson‐distributed colony counts. The effects of common working errors on the statistical evaluation of the GLP‐test are investigated.