Detail publikace

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

HRDLIČKOVÁ, Z.

Anglický název

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

Typ

Článek recenzovaný mimo WoS a Scopus

Jazyk

en

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 anglicky

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

Vydáno

2006-03-20

Nakladatel

John Wiley & Sons, Ltd.

Místo

Johannesburg, JAR

ISSN

1180-4009

Kniha

Environmetrics, TIES Conference, 2003

Časopis

ENVIRONMETRICS

Ročník

17

Číslo

3

Strany od–do

227–237

Počet stran

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"
}