Publicação
On a sufficient condition for commutative orthogonal block structure
| Resumo: | A model has orthogonal block structure if it has variancecovariance matrix that is a linear combination of known pairwise orthogonal orthogonal projection matrices that add to the identity matrix. When the orthogonal projection matrix on the space spanned by the mean vector commutes with the orthogonal projection matrices, in the expression of the variance-covariance matrix, the model has commutative orthogonal block structure. Resorting to B-matrices we present a general condition for this commutativity. |
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| Autores principais: | Dias, Cristina |
| Outros Autores: | Nunes, Célia; Mexia, João Tiago; Santos, Carla |
| Assunto: | B-matrices Mixed models Models with commutative orthogonal block structure |
| Ano: | 2017 |
| País: | Portugal |
| Tipo de documento: | artigo |
| Tipo de acesso: | acesso aberto |
| Instituição associada: | Instituto Politécnico de Beja |
| Idioma: | inglês |
| Origem: | Repositório Institucional do IPBeja |
| Resumo: | A model has orthogonal block structure if it has variancecovariance matrix that is a linear combination of known pairwise orthogonal orthogonal projection matrices that add to the identity matrix. When the orthogonal projection matrix on the space spanned by the mean vector commutes with the orthogonal projection matrices, in the expression of the variance-covariance matrix, the model has commutative orthogonal block structure. Resorting to B-matrices we present a general condition for this commutativity. |
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