Publication detail

Power of the Test in One-way ANOVA Type Model with Poisson Distributed Variables

HRDLIČKOVÁ, Z.

Czech title

Síla testu v modelu typu jednoduché Anovy s Poissonovskými proměnnými

English title

Power of the Test in One-way ANOVA Type Model with Poisson Distributed Variables

Type

conference paper

Language

en

Original abstract

If an influence of a single factor on Poisson distributed variables is examined, the generalized linear model can be applied. In this paper the power of the test based on the deviances of corresponding basic model and its submodel is investigated. The asymptotic power of the test based on an approximation of considered test statistic is derived. Afterwards an approximation of this power function is compared with simulated power of the test based on the deviance. Simulated significance level is presented as well. In addition an example of application is included.

Czech abstract

Pro sledování vlivu jednoho faktoru na Poissonovské proměnné můžeme využít zobecněný lineární model. V tomto článku je zkoumána síla testu založeného na deviancích odpovídajícího základního modelu a jeho submodelu. Je odvozena asymptotická síla testu založeného na aproximaci uvažované testové statistiky. Dále je aproximace této síly srovnána se simulovanou sílou testu založeného na deviance. Simulovaná hladina významnosti je také zmíněna. Navíc je uveden příklad užití získané výsledků.

English abstract

If an influence of a single factor on Poisson distributed variables is examined, the generalized linear model can be applied. In this paper the power of the test based on the deviances of corresponding basic model and its submodel is investigated. The asymptotic power of the test based on an approximation of considered test statistic is derived. Afterwards an approximation of this power function is compared with simulated power of the test based on the deviance. Simulated significance level is presented as well. In addition an example of application is included.

Keywords in English

Generalized linear model, Power function, One-way ANOVA, Poisson distribution

Released

01.01.2004

Publisher

Masaryk University Brno

Location

Brno

ISBN

80-210-3564-1

Book

Folia Fac. Sci. Nat. Univ. Masaryk. Brunensis, Mathematica 15

Pages from–to

123–136

Pages count

14

BIBTEX


@inproceedings{BUT18170,
  author="Zuzana {Hübnerová},
  title="Power of the Test in One-way ANOVA Type Model with Poisson Distributed Variables",
  booktitle="Folia Fac. Sci. Nat. Univ. Masaryk. Brunensis, Mathematica 15",
  year="2004",
  month="January",
  pages="123--136",
  publisher="Masaryk University Brno",
  address="Brno",
  isbn="80-210-3564-1"
}