Publication
Multiple Additive Models
| dc.contributor.author | Antunes, Patrícia | |
| dc.contributor.author | Ferreira, Sandra S. | |
| dc.contributor.author | Ferreira, Dário | |
| dc.contributor.author | Mexia, João T. | |
| dc.date.accessioned | 2020-02-10T15:06:07Z | |
| dc.date.available | 2020-02-10T15:06:07Z | |
| dc.date.issued | 2020 | |
| dc.description.abstract | The models constituting a multiple model will correspond to d treatments of a base design. Using a classic result on cumulant generation function we show how to obtain least square estimators for cumulants and generalized least squares estimators for vectors \beta, l=1,...,d, in the individual models. Next we carry out ANOVA-like analysis for the action of the factors in the base design. This is possible since the estimators \tilde{\beta }(l) of \beta (l). l=1,...,d, have, approximately, the same covariance matrix. The eigenvectors of that matrix will give the principal estimable functions \epsilon_{i}^{\top} \beta (l) i=1,...,k, l=1,...,d, for the individual models. The ANOVA-like analysis will consider homologue components on principal estimable functions. To apply our results we assume the factors in the base design to have fixed effects. Moreover if w=1, and Z(1) has covariance matrix \sigma^{2} \m I_{n}, our treatment generalizes that previously given for multiple regression designs. In them we have a linear regression for each treatment of a base design. We then study the action of the factors on that design on the vectors \beta(l), l=1,...,d. An example of application of the proposed methodology is given. | pt_PT |
| dc.description.version | info:eu-repo/semantics/acceptedVersion | pt_PT |
| dc.identifier.citation | Patrícia Antunes, Sandra S. Ferreira, Dário Ferreira and João T. Mexia (2020). Multiple Additive Models. Communications in Statistics – Theory and Methods | pt_PT |
| dc.identifier.doi | DOI: 10.1080/03610926.2020.1723636 | pt_PT |
| dc.identifier.uri | http://hdl.handle.net/10400.6/9180 | |
| dc.language.iso | eng | pt_PT |
| dc.peerreviewed | yes | pt_PT |
| dc.publisher | Marcel Dekker Inc. | pt_PT |
| dc.relation | Center of Mathematics and Applications of University of Beira Interior | |
| dc.relation | Center for Mathematics and Applications | |
| dc.subject | ANOVA | pt_PT |
| dc.subject | Cumulants | pt_PT |
| dc.subject | Mixed Models | pt_PT |
| dc.title | Multiple Additive Models | pt_PT |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.awardTitle | Center of Mathematics and Applications of University of Beira Interior | |
| oaire.awardTitle | Center for Mathematics and Applications | |
| oaire.awardURI | info:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDB%2F00212%2F2020/PT | |
| oaire.awardURI | info:eu-repo/grantAgreement/FCT/6817 - DCRRNI ID/UIDB%2F00297%2F2020/PT | |
| oaire.citation.conferencePlace | Marcel Dekker Inc. | pt_PT |
| oaire.citation.title | Communications in Statistics - Theory and Methods | pt_PT |
| oaire.fundingStream | 6817 - DCRRNI ID | |
| oaire.fundingStream | 6817 - DCRRNI ID | |
| person.familyName | Antunes | |
| person.familyName | Ferreira | |
| person.familyName | Ferreira | |
| person.familyName | Mexia | |
| person.givenName | Patrícia | |
| person.givenName | Sandra | |
| person.givenName | Dário | |
| person.givenName | João | |
| person.identifier | 1454084 | |
| person.identifier | R-000-7FX | |
| person.identifier.ciencia-id | 0C1F-6F75-7F74 | |
| person.identifier.ciencia-id | E01A-BAE7-2B14 | |
| person.identifier.ciencia-id | 9B1C-6DF8-2872 | |
| person.identifier.ciencia-id | 0A1B-09AC-0E39 | |
| person.identifier.orcid | 0000-0002-9440-6380 | |
| person.identifier.orcid | 0000-0002-9209-7772 | |
| person.identifier.orcid | 0000-0001-9095-0947 | |
| person.identifier.orcid | 0000-0001-8620-0721 | |
| person.identifier.scopus-author-id | 37088374700 | |
| person.identifier.scopus-author-id | 37088452300 | |
| person.identifier.scopus-author-id | 6603673040 | |
| project.funder.identifier | http://doi.org/10.13039/501100001871 | |
| project.funder.identifier | http://doi.org/10.13039/501100001871 | |
| project.funder.name | Fundação para a Ciência e a Tecnologia | |
| project.funder.name | Fundação para a Ciência e a Tecnologia | |
| rcaap.embargofct | Copyright cedido à Editora no momento da publicação | pt_PT |
| rcaap.rights | closedAccess | pt_PT |
| rcaap.type | article | pt_PT |
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