ArticleOriginal scientific text

Title

Stable hypothesis for mixed models with balanced cross-nesting

Authors 1, 2, 1

Affiliations

  1. Department of Mathematics, University of Beira Interior, 6200 Covilha, Portugal
  2. Department of Mathematics, Faculty of Science and Tecnology, New University of Lisbon, Monte da Caparica, Portugal

Abstract

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

Bibliography

  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.
Pages:
241-249
Main language of publication
English
Received
2005-03-03
Published
2005
Exact and natural sciences