Detail publikace

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

HRDLIČKOVÁ, Z.

Originální název

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

Typ

článek v časopise - ostatní, Jost

Jazyk

angličtina

Originální abstrakt

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.

Klíčová slova

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

Autoři

HRDLIČKOVÁ, Z.

Vydáno

20. 3. 2006

Nakladatel

John Wiley & Sons, Ltd.

Místo

Johannesburg, JAR

ISSN

1180-4009

Periodikum

Environmetrics

Ročník

17

Číslo

3

Stát

Spojené království Velké Británie a Severního Irska

Strany od

227

Strany do

237

Strany počet

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"
}