Power of the Test in One-way ANOVA Type Model with Poisson Distributed Variables
| Authors | |
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| Year of publication | 2004 |
| Type | Article in Proceedings |
| Conference | Datastat 03, Folia Fac. Sci. Nat. Univ. Masaryk. Brunensis, Mathematica 15 |
| MU Faculty or unit | |
| 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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