Estimators for variance components in structured stair nesting models

Monteiro, Sandra; Fonseca, Miguel; Carvalho, Francisco

doi:10.1063/1.4951830

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2017

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“…Let w(h) be the number of incidence matrices in the h th step. Following [5], the random effects structured stair nesting model is given by…”

Section: Algebraic Structurementioning

confidence: 99%

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Structured stair nesting models-two approaches

Mexia¹,

Monteiro²,

Salvador³

2017

Discuss. Math. Probability and Statistics

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The structured stair nesting model was proposed by [4] and it was introduced according with a step by step approach. The purpose of this work is to show that structured stair nesting models can be analyzed with a diferent approach, which we call global approach. We also show that, the two approaches, although originating different algebraic structures, allow to obtain the same estimators for the variance components. To express the algebraic structure of these model we will use commutative Jordan algebras.

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“…Let w(h) be the number of incidence matrices in the h th step. Following [5], the random effects structured stair nesting model is given by…”

Section: Algebraic Structurementioning

confidence: 99%

“…In [5] were obtained estimators for the components of variance. Structured stair nesting models have allowed the construction of more complex models, since they allow the increase the number of analysed factors, for the same number of treatments.…”

Section: Introductionmentioning

confidence: 99%