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Tests and relevancies for the hypotheses of an orthogonal family in a model with orthogonal block structure

2019Journal article Open access
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dc.contributor.authorFerreira, Dário
dc.contributor.authorFerreira, Sandra S.
dc.contributor.authorNunes, Célia
dc.contributor.authorMexia, João T.
dc.date.accessioned2020-02-06T12:04:16Z
dc.date.available2020-02-06T12:04:16Z
dc.date.issued2019
dc.description.abstractA model has an orthogonal block structure if it has, as covariance matrix, a linear combination of pairwise orthogonal projection matrices, that add up to the iden- tity matrix. The range space of these matrices are associated to hypotheses of an orthogonal family. In this paper we show how to obtain tests for these hypotheses when normality is assumed and how to consider their relevance when normality is discarded. Besides the notion of relevance, we formulate hypotheses in a general way that may be applied to models with orthogonal block structure, whose factors may have xed and/or random e ects. The results are applied to prime basis factorial models and an example is presented.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.doi10.1080/00949655.2019.1686635pt_PT
dc.identifier.urihttp://hdl.handle.net/10400.6/9062
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
dc.subjectInferencept_PT
dc.subjectMixed modelspt_PT
dc.subjectVariance componentspt_PT
dc.subjectHypotheses relevanciespt_PT
dc.subjectNon-normalitypt_PT
dc.subjectPrime basis factorialspt_PT
dc.titleTests and relevancies for the hypotheses of an orthogonal family in a model with orthogonal block structurept_PT
dc.typejournal article
dspace.entity.typePublication
oaire.citation.endPage8pt_PT
oaire.citation.startPage1pt_PT
oaire.citation.titleJournal of Statistical Computation and Simulationpt_PT
person.familyNameFerreira
person.familyNameFerreira
person.familyNameNunes
person.familyNameMexia
person.givenNameDário
person.givenNameSandra
person.givenNameCélia
person.givenNameJoão
person.identifier1454084
person.identifierR-000-3NA
person.identifierR-000-7FX
person.identifier.ciencia-id9B1C-6DF8-2872
person.identifier.ciencia-idE01A-BAE7-2B14
person.identifier.ciencia-idAC1F-3CA0-75FE
person.identifier.ciencia-id0A1B-09AC-0E39
person.identifier.orcid0000-0001-9095-0947
person.identifier.orcid0000-0002-9209-7772
person.identifier.orcid0000-0003-0167-4851
person.identifier.orcid0000-0001-8620-0721
person.identifier.ridH-1231-2016
person.identifier.scopus-author-id37088452300
person.identifier.scopus-author-id37088374700
person.identifier.scopus-author-id57194580125
person.identifier.scopus-author-id6603673040
rcaap.rightsopenAccesspt_PT
rcaap.typearticlept_PT
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relation.isAuthorOfPublication476a0b22-7679-47cb-afe3-7f772abd7ba1
relation.isAuthorOfPublication6c089279-689d-4566-b2ee-797ddbefbeab
relation.isAuthorOfPublication3579587b-b3c6-4af2-94fb-a9304279ac94
relation.isAuthorOfPublication.latestForDiscovery476a0b22-7679-47cb-afe3-7f772abd7ba1

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