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Inference for types and structured families of commutative orthogonal block structures

2014Journal article Open access
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dc.contributor.authorCarvalho, Francisco
dc.contributor.authorMexia, João T.
dc.contributor.authorSantos, Carla
dc.contributor.authorNunes, Célia
dc.date.accessioned2020-02-19T15:56:04Z
dc.date.available2020-02-19T15:56:04Z
dc.date.issued2014
dc.description.abstractModels with commutative orthogonal block structure, COBS, have orthogonal block structure, OBS, and their least square estimators for estimable vectors are, as it will be shown, best linear unbiased estimator, BLUE. Commutative Jordan algebras will be used to study the algebraic structure of the models and to define special types of models for which explicit expressions for the estimation of variance components are obtained. Once normality is assumed, inference using pivot variables is quite straightforward. To illustrate this class of models we will present unbalanced examples before considering families of models. When the models in a family correspond to the treatments of a base design, the family is structured. It will be shown how, under quite general conditions, the action of the factors in the base design on estimable vectors, can be studied.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.doi10.1007/s00184-014-0506-8pt_PT
dc.identifier.urihttp://hdl.handle.net/10400.6/9374
dc.language.isoengpt_PT
dc.subjectCommutative orthogonal block structurept_PT
dc.subjectCommutative Jordan algebraspt_PT
dc.subjectEstimationpt_PT
dc.subjectMixed linear modelspt_PT
dc.titleInference for types and structured families of commutative orthogonal block structurespt_PT
dc.typejournal article
dspace.entity.typePublication
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/5876/PEst-OE%2FMAT%2FUI0297%2F2014/PT
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/5876/PEst-OE%2FMAT%2FUI0212%2F2014/PT
oaire.citation.endPage372pt_PT
oaire.citation.issue3pt_PT
oaire.citation.startPage337pt_PT
oaire.citation.titleMetrikapt_PT
oaire.citation.volume78pt_PT
oaire.fundingStream5876
oaire.fundingStream5876
person.familyNameCarvalho
person.familyNameMexia
person.familyNameNunes
person.givenNameFrancisco
person.givenNameJoão
person.givenNameCélia
person.identifierR-000-7FX
person.identifierR-000-3NA
person.identifier.ciencia-id2E10-8220-D0CD
person.identifier.ciencia-id0A1B-09AC-0E39
person.identifier.ciencia-idAC1F-3CA0-75FE
person.identifier.orcid0000-0001-8431-9948
person.identifier.orcid0000-0001-8620-0721
person.identifier.orcid0000-0003-0167-4851
person.identifier.ridH-1231-2016
person.identifier.scopus-author-id37088040900
person.identifier.scopus-author-id6603673040
person.identifier.scopus-author-id57194580125
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.identifierhttp://doi.org/10.13039/501100001871
project.funder.nameFundação para a Ciência e a Tecnologia
project.funder.nameFundação para a Ciência e a Tecnologia
rcaap.rightsopenAccesspt_PT
rcaap.typearticlept_PT
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