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Crossing balanced and stair nested desings

2012Journal article Restricted access
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dc.contributor.authorFernandes, Célia
dc.contributor.authorRamos, Paulo
dc.contributor.authorMexia, João Tiago
dc.date.accessioned2015-09-10T09:41:42Z
dc.date.available2015-09-10T09:41:42Z
dc.date.issued2012
dc.description.abstractBalanced nesting is the most usual form of nesting and originates, when used singly or with crossing of such sub-models, orthogonal models. In balanced nesting we are forced to divide repeatedly the plots and we have few degrees of freedom for the first levels. If we apply stair nesting we will have plots all of the same size rendering the designs easier to apply. The stair nested designs are a valid alternative for the balanced nested designs because we can work with fewer observations, the amount of information for the different factors is more evenly distributed and we obtain good results. The inference for models with balanced nesting is already well studied. For models with stair nesting it is easy to carry out inference because it is very similar to that for balanced nesting. Furthermore stair nested designs being unbalanced have an orthogonal structure. Other alternative to the balanced nesting is the staggered nesting that is the most popular unbalanced nested design which also has the advantage of requiring fewer observations. However staggered nested designs are not orthogonal, unlike the stair nested designs. In this work we start with the algebraic structure of the balanced, the stair and the staggered nested designs and we finish with the structure of the cross between balanced and stair nested designs.por
dc.identifier.citationFERNANDES, C., RAMOS, P.; MEXIA, J. T. – Crossing balanced and stair nested desings. Electronic Journal of Linear Algebra. ISSN: 1537-9582. Vol. 25 (2012), pp. 22-48por
dc.identifier.issn1537-9582
dc.identifier.urihttp://hdl.handle.net/10400.21/5132
dc.language.isoengpor
dc.peerreviewedyespor
dc.publisherInt Linear Algebra Societypor
dc.relationFundação para a Ciência e a Tecnologia (Portuguese Foundation for Science and Technology) - PEst-OE/MAT/UI0297/2011 (CMA)
dc.subjectBalanced Nestingpor
dc.subjectStair Nestingpor
dc.subjectStaggered Nestingpor
dc.subjectCrossingpor
dc.subjectVariance Componentspor
dc.subjectInferencepor
dc.titleCrossing balanced and stair nested desingspor
dc.typejournal article
dspace.entity.typePublication
oaire.citation.endPage48por
oaire.citation.startPage22por
oaire.citation.titleElectronic Journal of Linear Algebrapor
oaire.citation.volume25por
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.latestForDiscoveryf91ecdf9-54df-4e6d-becf-31df89d6bb52

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