Publication result detail

Comparison of Powers of Some Tests in One-Way ANOVA Type Model with Negative Binomial Distribution

HÜBNEROVÁ, Z.; DOUDOVÁ, L.

Original Title

Comparison of Powers of Some Tests in One-Way ANOVA Type Model with Negative Binomial Distribution

English Title

Comparison of Powers of Some Tests in One-Way ANOVA Type Model with Negative Binomial Distribution

Type

Paper in proceedings (conference paper)

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.

English 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

negative binomial distribution, likelihood ratio, Wald statistic, score statistic, power, Generalized linear model

Key words in English

negative binomial distribution, likelihood ratio, Wald statistic, score statistic, power, Generalized linear model

Authors

HÜBNEROVÁ, Z.; DOUDOVÁ, L.

RIV year

2014

Released

20.12.2012

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

Edition

1

Pages from

19

Pages to

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"
}