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Modelling interval data with Normal and Skew-Normal distributions

dc.contributor.authorBrito, Paula
dc.contributor.authorSilva, A. Pedro Duarte
dc.date.accessioned2014-06-05T16:57:22Z
dc.date.available2014-06-05T16:57:22Z
dc.date.issued2012
dc.description.abstractA parametric modelling for interval data is proposed, assuming a multivariate Normal or Skew-Normal distribution for the midpoints and log-ranges of the interval variables. The intrinsic nature of the interval variables leads to special structures of the variance–covariance matrix, which is represented by five different possible configurations. Maximum likelihood estimation for both models under all considered configurations is studied. The proposed modelling is then considered in the context of analysis of variance and multivariate analysis of variance testing. To access the behaviour of the proposed methodology, a simulation study is performed. The results show that, for medium or large sample sizes, tests have good power and their true significance level approaches nominal levels when the constraints assumed for the model are respected; however, for small samples, sizes close to nominal levels cannot be guaranteed. Applications to Chinese meteorological data in three different regions and to credit card usage variables for different card designations, illustrate the proposed methodology.por
dc.description.versioninfo:eu-repo/semantics/publishedVersion
dc.identifier.citationBRITO, Paula ; DUARTE SILVA, A.P. - Modelling interval data with Normal and Skew-Normal distributions. Journal of Applied Statistics. ISSN 1360-0532. Vol. 39, N.º 1 (2012), p. 3–20por
dc.identifier.doi10.1080/02664763.2011.575125
dc.identifier.eissn1360-0532
dc.identifier.issn0266-4763
dc.identifier.urihttp://hdl.handle.net/10400.14/14508
dc.identifier.wosWOS:000298925200002
dc.language.isoengpor
dc.peerreviewedyespor
dc.publisherTaylor & Francispor
dc.subjectSymbolic datapor
dc.subjectParametric modelling of interval datapor
dc.subjectStatistical tests for interval datapor
dc.subjectSkew-Normal distributionpor
dc.subjectANOVApor
dc.subjectMANOVApor
dc.titleModelling interval data with Normal and Skew-Normal distributionspor
dc.typejournal article
dspace.entity.typePublication
oaire.citation.endPage20
oaire.citation.issue1
oaire.citation.startPage3
oaire.citation.titleJournal of Applied Statistics
oaire.citation.volume39
person.familyNameBrito
person.familyNameDuarte Silva
person.givenNamePaula
person.givenNamePedro
person.identifierR-000-CF4
person.identifier.ciencia-id0B1A-DD19-07CE
person.identifier.ciencia-id371F-636A-E2E9
person.identifier.orcid0000-0002-2593-8818
person.identifier.orcid0000-0003-1378-2403
person.identifier.ridJ-6656-2013
person.identifier.ridB-6168-2008
person.identifier.scopus-author-id15025681300
person.identifier.scopus-author-id6602627961
rcaap.rightsrestrictedAccesspor
rcaap.typearticlepor
relation.isAuthorOfPublication3cd7537f-4e5a-4953-9775-1d78a6d6500b
relation.isAuthorOfPublication2a796b4b-6325-4af6-a47e-d233ccde3b53
relation.isAuthorOfPublication.latestForDiscovery3cd7537f-4e5a-4953-9775-1d78a6d6500b

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