A gamma model for extra-binomial variation in dilution assays

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Abstract

Dilution assays are widely used to estimate the concentration of a particular type of cell, called a limiting cell, in a population of cells from an animal. For each animal, the response vector is a set of binomial variables derived at different plating frequencies. Often extra-binomial variation is found when dilution assay data are analysed. This paper proposes a mixture model where the animal level effects are assumed to have a gamma distribution. This leads to more realistic standard errors for the estimates of the limiting cell concentrations.

Original languageEnglish
Pages (from-to)237-242
Number of pages6
JournalBiometrics
Volume49
Issue number1
DOIs
Publication statusPublished - Mar 1993
Externally publishedYes

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