A gamma model for extra-binomial variation in dilution assays

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4 Citations (Scopus)

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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Extra-binomial Variation
Statistical Models
Dilution
Assays
Animals
Cell
assays
Limiting
cells
Plating
Gamma distribution
Standard error
Mixture Model
Cells
animal behavior
Model
Estimate
Animal Models
animal models
Population

Cite this

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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.",
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A gamma model for extra-binomial variation in dilution assays. / O'Neill, T J; O'Neill, H C.

In: Biometrics, Vol. 49, No. 1, 03.1993, p. 237-242.

Research output: Contribution to journalArticleResearchpeer-review

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