Publication detail

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

HRDLIČKOVÁ, Z.

Original Title

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

Type

journal article - other

Language

English

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

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

Authors

HRDLIČKOVÁ, Z.

Released

20. 3. 2006

Publisher

John Wiley & Sons, Ltd.

Location

Johannesburg, JAR

ISBN

1180-4009

Periodical

Environmetrics

Year of study

17

Number

3

State

United Kingdom of Great Britain and Northern Ireland

Pages from

227

Pages to

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"
}