In variety testing as well as in psychological assessment, the situation occurs that in a
two-way ANOVA-type model with only one replication per cell, analysis is done under
the assumption of no interaction between the two factors. Tests for this situation are
known only for fixed factors and normally distributed outcomes. In the following we will
present five additivity tests and apply them to fixed and mixed models and to quantitative
as well as to Bernoulli distributed data. We consider their performance via simulation
studies with respect to the type-I-risk and power. Furthermore, two new approaches
will be presented, one being a modification of Tukey's test and the other being a new
experimental design to test for interactions.
| Identifer | oai:union.ndltd.org:VIENNA/oai:epub.wu-wien.ac.at:3868 |
| Date | January 2009 |
| Creators | Rasch, Dieter, Rusch, Thomas, Simeckova, Marie, Kubinger, Klaus D., Moder, Karl, Simecek, Petr |
| Publisher | Springer |
| Source Sets | Wirtschaftsuniversität Wien |
| Language | English |
| Detected Language | English |
| Type | Article, PeerReviewed |
| Format | application/pdf |
| Relation | http://dx.doi.org/10.1007/s00362-009-0254-4, http://link.springer.com/, http://epub.wu.ac.at/3868/ |
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