Publication detail
Comparison of Powers of Some Tests in One-Way ANOVA Type Model with Negative Binomial Distribution
HÜBNEROVÁ, Z. DOUDOVÁ, L.
English title
Comparison of Powers of Some Tests in One-Way ANOVA Type Model with Negative Binomial Distribution
Type
Paper in proceedings (conference paper)
Language
en
Original abstract
When analyzing biological, insurance or reliability data the negative binomial (NB) distribution is often encountered. This paper is concerned with models, where the expected value and the shape parameter of the NB variable possibly depend on one factor. Particularly, the tests of an equality of the expected values under various assumptions about the values of the shape parameters are inspected with regard to the empirical size and power. The testing procedure in the case, when the hypothesis of an equality of the shape parameters is not rejected, is of the main interest. An extensive simulation study aims at answering questions that might arise in this situation.
Keywords in English
negative binomial distribution, likelihood ratio, Wald statistic, score statistic, power, Generalized linear model
Released
2012-12-20
Publisher
Publishing office of the University of Defence
Location
Brno
ISBN
978-80-7231-897-1
Book
XX International Conference PDMU-2012, Problems of Decision Making under Uncertainties Proceedings – Applied Papers
Pages from–to
19–30
Pages count
11
BIBTEX
@inproceedings{BUT103912,
author="Zuzana {Hübnerová} and Lucie {Doudová}",
title="Comparison of Powers of Some Tests in One-Way ANOVA Type Model with Negative Binomial Distribution",
booktitle="XX International Conference PDMU-2012, Problems of Decision Making under Uncertainties Proceedings - Applied Papers",
year="2012",
series="1",
number="1",
pages="19--30",
publisher="Publishing office of the University of Defence",
address="Brno",
isbn="978-80-7231-897-1"
}