Quotation Rasch, Dieter , Rusch, Thomas, Simeckova, Marie, Kubinger, Klaus, Moder, Karl, Simecek, Petr. 2009. Tests of additivity in mixed and fixed effect two-way ANOVA models with single sub-class numbers. Statistical Papers / Statistische Hefte 50 (4): 905-916.


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Abstract

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.

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Publication's profile

Status of publication Published
Affiliation WU
Type of publication Journal article
Journal Statistical Papers
Citation Index SCI
WU-Journal-Rating new FIN-A, VW-D
Language English
Title Tests of additivity in mixed and fixed effect two-way ANOVA models with single sub-class numbers
Volume 50
Number 4
Year 2009
Page from 905
Page to 916
Reviewed? Y
URL http://www.springerlink.com/content/al35055410u48q15/?p=d971c65a2d2f4419ae1913bcabe7f354&pi=17

Associations

People
Rusch, Thomas (Details)
External
Kubinger, Klaus (Universität Wien, Austria)
Moder, Karl (Universität für Bodenkultur Wien, Austria)
Rasch, Dieter (Universität für Bodenkultur Wien, Austria)
Simecek, Petr (Institute of Animal Science, Prag, Czech Republic)
Simeckova, Marie (Institute of Animal Science, Prag, Czech Republic)
Organization
Institute for Statistics and Mathematics IN (Details)
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