Publication detail

Comparison of the power of the tests in one-way ANOVA type model with Poisson distributed variables

HRDLIČKOVÁ, Z.

English title

Comparison of the power of the tests in one-way ANOVA type model with Poisson distributed variables

Type

Peer-reviewed article not indexed in WoS or Scopus

Language

en

Original abstract

This article deals with the one-way ANOVA type generalized linear model, the method most often used if the assumptions of the classical one-way ANOVA are not satisfied. In particular, the model with Poisson distributed response variables is considered. The article aims at the powers of tests based on the most frequent statistics – deviance, Pearson and score statistic. The asymptotic powers of the considered tests are obtained either analytically or by means of simulation. Afterwards, these powers are compared with powers of the tests obtained by an alternative method – a variance-stabilizing transformation followed by the classical linear model with known or unknown variance. Finally, a power analysis is carried out on biometrical data to find an experimental design suitable for detecting a priory given differences in expected values.

Keywords in English

generalized linear model power function, one-way ANOVA, Poisson distribution, variance-stabilizing transformation

Released

2006-03-20

Publisher

John Wiley & Sons, Ltd.

Location

Johannesburg, JAR

ISSN

1180-4009

Book

Environmetrics, TIES Conference, 2003

Journal

ENVIRONMETRICS

Volume

17

Number

3

Pages from–to

227–237

Pages count

11

BIBTEX


@article{BUT46658,
  author="Zuzana {Hübnerová}",
  title="Comparison of the power of the tests in one-way ANOVA type model with Poisson distributed variables",
  journal="ENVIRONMETRICS",
  year="2006",
  volume="17",
  number="3",
  pages="227--237",
  issn="1180-4009"
}