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Analysis of two-way layout of count data with negative binomial variation

✍ Scribed by A. Maul; A. H. El-Shaarawi

Book ID: 104757395
Publisher: Springer
Year: 1991
Tongue: English
Weight: 282 KB
Volume: 17
Category: Article
ISSN: 0167-6369
DOI: 10.1007/bf00399311

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✦ Synopsis

A number of methods has been proposed for dealing with single-factor or factorial experiments when the requirements for performing the normal theory analysis of variance procedure are not satisfied. This paper suggests the use of the likelihood ratio statistic for testing the main effects and the interaction between the factors in two-way layout of count data following negative binomial distributions with a common dispersion parameter. The likelihood ratio statistic for testing the equality of the dispersion parameters of several groups of count data is also derived. The methods is illustrated by an example concerning the study of spatial and temporal variation of bacterial counts.

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