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Projeto de investigação
Projeto de financiamento estratégico atribuído pela FCT ao Centro de Matemática e Aplicações (CMA) - NOVA FCT [PEst-OE/MAT/UI0297/2014]
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Autores
Publicações
One-way random effects ANOVA with random sample sizes: An application to a Brazilian database on cancer registries
Publication . Capistrano, Gilberto; Nunes, Célia; Ferreira, Dário; Ferreira, Sandra S.; Mexia, João T.
ANOVA is routinely used in many situations, namely in medical research, where the sample sizes may not be
previously known. This leads us to consider the samples sizes as realizations of random variables. The aim of this paper is to
extend one-way random effects ANOVA to those situations and apply our results to a Brazilian database on cancer registries.
Inference for types and structured families of commutative orthogonal block structures
Publication . Carvalho, Francisco; Mexia, João T.; Santos, Carla; Nunes, Célia
Models with commutative orthogonal block structure, COBS, have orthogonal
block structure, OBS, and their least square estimators for estimable vectors are,
as it will be shown, best linear unbiased estimator, BLUE. Commutative Jordan algebras
will be used to study the algebraic structure of the models and to define special
types of models for which explicit expressions for the estimation of variance components
are obtained. Once normality is assumed, inference using pivot variables is quite
straightforward. To illustrate this class of models we will present unbalanced examples
before considering families of models. When the models in a family correspond to the treatments of a base design, the family is structured. It will be shown how, under quite
general conditions, the action of the factors in the base design on estimable vectors,
can be studied.
ANOVA with random sample sizes: An application to a Brazilian database on cancer registries
Publication . Nunes, Célia; Capistrano, Gilberto; Ferreira, Dário; Ferreira, Sandra S.
ANOVA is routinely used in many situations, namely in medical research, where the sample sizes may not be
previously known. This leads us to consider the samples sizes as realizations of random variables. The aim of this paper is to
extend one-way random effects ANOVA to those situations and apply our results to a Brazilian database on cancer registries.
Estimation of variance components in normal linear mixed models with additivity
Publication . Ferreira, Dário; Ferreira, Sandra S.; Nunes, Célia; Mexia, João T.
In this paper we use commutative Jordan Algebras to estimate variance components in linear mixed models. We
apply the theory to a model in which three factors cross and one of the factors is additive to the other two.
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Contribuidores
Financiadores
Entidade financiadora
Fundação para a Ciência e a Tecnologia
Programa de financiamento
5876
Número da atribuição
PEst-OE/MAT/UI0297/2014