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Tests of additivity in mixed and fixed effect two-way ANOVA models with single sub-class numbers

Rasch, Dieter and Rusch, Thomas and Simeckova, Marie and Kubinger, Klaus D. and Moder, Karl and Simecek, Petr (2009) Tests of additivity in mixed and fixed effect two-way ANOVA models with single sub-class numbers. Statistical Papers, 50 (4). pp. 905-916. ISSN 0932-5026

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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.

Item Type: Article
Additional Information: To see the final version of this paper please visit the publisher's website. The original publication is available at www.springerlink.com. Access to the published version may require a subscription.
Keywords: additivity tests / two-way ANOVA without replication / mixed model / block design / Rasch model
Divisions: Departments > Finance, Accounting and Statistics
Version of the Document: Accepted for Publication
Variance from Published Version: None
Depositing User: ePub Administrator
Date Deposited: 07 May 2013 12:17
Last Modified: 19 Sep 2017 18:12
Related URLs:
FIDES Link: https://bach.wu.ac.at/d/research/results/45974/
URI: http://epub.wu.ac.at/id/eprint/3868

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