Journal of Statistical Theory and Practice

, Volume 1, Issue 3–4, pp 377–392 | Cite as

Cross Additivity in Balanced Cross Nesting Models

  • S. S. FerreiraEmail author
  • D. Ferreira
  • J. T. Mexia


Commutative Jordan Algebras were used to carry out inference for mixed models with balanced cross nesting in which the variance components for interactions between sets of fixed effects and random effects are null.

AMS Subject Classification



Cross Additivity Balanced Cross Nesting Commutative Jordan Algebra 


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Copyright information

© Grace Scientific Publishing 2007

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of Beira InteriorPortugal
  2. 2.Department of Mathematics, Faculty of Science and TechnologyNew University of LisbonPortugal

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