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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
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" }