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Algebraic structure for the crossing of balanced and stair nested designs

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dc.contributor.authorFernandes, Célia
dc.contributor.authorRamos, Paulo
dc.contributor.authorMexia, João Tiago
dc.date.accessioned2015-08-25T13:29:37Z
dc.date.available2015-08-25T13:29:37Z
dc.date.issued2014
dc.description.abstractStair 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.por
dc.identifier.citationFERNANDES, 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. 71-88por
dc.identifier.doi10.7151/dmps.1162
dc.identifier.isbn2084-0381
dc.identifier.issn1509-9423
dc.identifier.urihttp://hdl.handle.net/10400.21/4998
dc.language.isoengpor
dc.peerreviewedyespor
dc.publisherDMPSpor
dc.relation.publisherversionhttp://www.discuss.wmie.uz.zgora.pl/ps/34_1-2/a_ps34frm.pdf
dc.subjectBalanced Nested Designspor
dc.subjectStair Nested Designspor
dc.subjectCrossingpor
dc.subjectCommutative Jordan Algebraspor
dc.subjectVariance Componentspor
dc.subjectInferencepor
dc.titleAlgebraic structure for the crossing of balanced and stair nested designspor
dc.typejournal article
dspace.entity.typePublication
oaire.citation.endPage88por
oaire.citation.issue1-2por
oaire.citation.startPage71por
oaire.citation.titleDiscussiones Mathematicae, Probability and Statisticspor
oaire.citation.volume34por
person.familyNameFernandes
person.familyNameRamos
person.givenNameCélia
person.givenNamePaulo
person.identifier.orcid0000-0002-2298-9863
person.identifier.orcid0000-0003-1721-3355
person.identifier.scopus-author-id54402521000
person.identifier.scopus-author-id54403488900
rcaap.rightsclosedAccesspor
rcaap.typearticlepor
relation.isAuthorOfPublicationf5e2c5b8-159f-4e88-8cfa-ce8227abb267
relation.isAuthorOfPublicationf91ecdf9-54df-4e6d-becf-31df89d6bb52
relation.isAuthorOfPublication.latestForDiscoveryf5e2c5b8-159f-4e88-8cfa-ce8227abb267

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