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- Estimation of Variance Components in Linear Mixed Models with Commutative Orthogonal Block StructurePublication . Ferreira, Sandra S.; Ferreira, Dário; Nunes, Célia; Mexia, João T.Segregation and matching are techniques to estimate variance compo- nents in mixed models. A question arising is whether segregation can be applied in situations where matching does not apply. Our motivation for this research relies on the fact that we want an answer to that question and to explore this important class of models that can contribute to the devel- opment of mixed models. That is possible using the algebraic structure of mixed models. We present two examples showing that segregation can be applied in situations where matching does not apply.
- Cross Additivity in Balanced Cross Nesting ModelsPublication . Ferreira, Sandra S.; Ferreira, Dário; Mexia, João T.Commutative Jordan Algebras were used to cary out inference for mixed models with balanced cross nesting in wich the variance componentes for interactions between sets of fixed effects and random effects are null.