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.
Department of Mathematics, University of Beira Interior, 6200 Covilha, Portugal
Bibliografia
[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.