Publication details

Power of the Test in One-way ANOVA Type Model with Poisson Distributed Variables

Authors

HRDLIČKOVÁ Zuzana

Year of publication 2004
Type Article in Proceedings
Conference Datastat 03, Folia Fac. Sci. Nat. Univ. Masaryk. Brunensis, Mathematica 15
MU Faculty or unit

Faculty of Science

Citation
Field Applied statistics, operation research
Keywords ANOVA; Poisson distribution; power of test
Description If an influence of a single factor on Poisson distributed variables is examined, the generalized linear model can be applied. In this paper the power of the test based on the deviances of corresponding basic model and its submodel is investigated. The asymptotic power of the test based on an approximation of considered test statistic is derived. Afterwards an approximation of this power function is compared with simulated power of the test based on the deviance. Simulated significance level is presented as well. In addition an example of application is included.
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