Adjusting models for symmetric stochastic matrices using Vec type operators

Salvador, Dina; Monteiro, Sandra; Mexia, João T.

doi:10.1063/1.4825626

Cited by 1 publication

(2 citation statements)

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“…which is a column vector whose components are the components of the 𝑗 − 𝑡ℎ row vector of matrix 𝑪 starting at position (𝑗, 𝑗). The vector 𝒗 𝒋 (𝑪) have 𝑎 𝑗 components where 𝑎 𝑗 = 𝑘 − 𝑗 + 1, (Harville 1998), (Schott 1997), (Salvador, 2013).…”

Section: Modelmentioning

confidence: 99%

“…The most interesting cases for these types of models occur when the matrices of this family have the first dominant eigenvalue or the first dominant eigenvalues. In that case, the action of the factors of that design, on the components of the first structure vector or the first structure vectors, depending as it is only the first dominant eigenvalue or the first dominant eigenvalues, respectively (Dias et al 2012), (Salvador 2013).…”

Section: Structured Familiesmentioning

confidence: 99%

See 1 more Smart Citation

Symmetric stochastic matrices and structured families of models

Dias¹,

Santos²,

Mexia³

2023

S. F. J. of Dev.

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The models in structured families correspond to the treatments of a fixed-effects base model. One then studies the action of the factors of the base design on the fixed effects parameters of the models. The analysis of these families allows the study of the action of cross-factors on cross-factor effects and interactions. When the base model has an orthogonal structure, the model family is said to be orthogonal. A general treatment of the case where the base model has an orthogonal structure is presented and special emphasis is given to structured families of factor models.

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Section: Modelmentioning

confidence: 99%

Section: Structured Familiesmentioning

confidence: 99%