**Zuzana Hrdlickova**

_{Department of Applied Mathematics,
Faculty of Science, Masaryk University,
Janackovo nam. 2a, Brno, Czech Republic
Ph. +420 549 491 412; Fax +420 541 210 337
E-mail: zuzka@math.muni.cz}

**Abstract**

The asymptotic powers of the test used in generalized linear models for comparison of the population means (ANOVA type models) and based on scale deviance statistics or score statistics are derived in the paper. The algorithm for calculation of the asymptotic power of the above mentioned test is described. This algorithm was computer implemented in MATLAB and used for the comparison of the asymptotic powers with the simulated powers of considered test for small sample sizes (for models with Poisson, gamma, binomial and negative binomial distributed response variables). Finally, obtained results are applied to environmetrical data for nding the suitable experimental design.

**Keywords**: power function, exponential class of distributions, generalized linear model, ANOVA type model

In: McRoberts, R. et al. (eds). Proceedings of the joint meeting of The 6th International Symposium On Spatial Accuracy Assessment In Natural Resources and Environmental Sciences and The 15th Annual Conference of The International Environmetrics Society, June 28 – July 1 2004, Portland, Maine, USA.

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