Utilize este identificador para referenciar este registo: http://hdl.handle.net/10400.21/4998
Título: Algebraic structure for the crossing of balanced and stair nested designs
Autor: Fernandes, Célia Maria da Silva
Ramos, Paulo José Raimundo
Mexia, João Tiago
Palavras-chave: Balanced Nested Designs
Stair Nested Designs
Commutative Jordan Algebras
Variance Components
Data: 2014
Editora: DMPS
Citação: FERNANDES, Célia Maria da Silva; RAMOS, Paulo José Raimundo; MEXIA, João Tiago – Algebraic structure for the crossing of balanced and stair nested designs. Discussiones Mathematicae, Probability and Statistics. ISSN: 1509-9423. Vol. 34, nr. 1-2 (2014), pp. 71-88
Resumo: Stair nesting allows us to work with fewer observations than the most usual form of nesting, the balanced nesting. In the case of stair nesting the amount of information for the different factors is more evenly distributed. This new design leads to greater economy, because we can work with fewer observations. In this work we present the algebraic structure of the cross of balanced nested and stair nested designs, using binary operations on commutative Jordan algebras. This new cross requires fewer observations than the usual cross balanced nested designs and it is easy to carry out inference.
Peer review: yes
URI: http://hdl.handle.net/10400.21/4998
DOI: 10.7151/dmps.1162
ISBN: 2084-0381
ISSN: 1509-9423
Versão do Editor: http://www.discuss.wmie.uz.zgora.pl/ps/34_1-2/a_ps34frm.pdf
Aparece nas colecções:ISEL - Matemática - Artigos

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