Geodesic
Stable hypothesis for mixed models with balanced cross-nesting
Discussiones Mathematicae. Probability and Statistics, Tome 25 (2005) no. 2, pp. 241-249.

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Stable hypothesis are hypothesis that may refer either for the fixed part or for the random part of the model. We will consider such hypothesis for models with balanced cross-nesting. Generalized F tests will be derived. It will be shown how to use Monte-Carlo methods to evaluate p-values for those tests.
Keywords: generalized F tests, mixed balanced models, cross-nesting 
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Ferreira, Dário; Mexia, João; Ferreira, Sandra. Stable hypothesis for mixed models with balanced cross-nesting. Discussiones Mathematicae. Probability and Statistics, Tome 25 (2005) no. 2, pp. 241-249. http://geodesic.mathdoc.fr/item/DMPS_2005_25_2_a5/

[1] M. Fonseca, J.T. Mexia and R. Zmyślony, Jordan Alebras, Generating Pivot variables and Orthogonal Mixed Models 22 (2004), 37-51.

[2] A. Michalski and R. Zmyślony, Testing Hypothesis For Variance Components in Mixed Linear Models, Statistics 27 (1996), 297-310.

[3] A. Michalski and R. Zmyślony, Testing Hypothesis For Linear Functions of Parameters in Mixed Linear Models, Tatra Mt Math Publications 17 (1999), 103-110.

[4] S. Weerahandi, Exact Statistical methods for Data Analysis, 2nd print. Springer Verlags 1996.

[5] S. Saraiva and J.T. Mexia, Alternative Analysis of an Experiment On Grapevines, Colloquium Biometryczne 34a (2004), 89-95.