Publication details
Comparison of the power of the tests in one-way ANOVA type model with Poisson distributed variables
| Authors | |
|---|---|
| Year of publication | 2006 |
| Type | Article in Proceedings |
| Conference | Environmetrics, Special Issue TIES Conference, 2003 |
| MU Faculty or unit | |
| Citation | |
| Web | http://www3.interscience.wiley.com/cgi-bin/abstract/112510328/ABSTRACT |
| Field | Applied statistics, operation research |
| Keywords | generalized linear model power function; one-way ANOVA; Poisson distribution; variance-stabilizing transformation |
| Description | 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. |
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