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Exact critical values for one-way fixed effects models with random sample sizes

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dc.contributor.authorNunes, Célia
dc.contributor.authorCapistrano, Gilberto
dc.contributor.authorFerreira, Dário
dc.contributor.authorFerreira, Sandra S.
dc.contributor.authorMexia, João T.
dc.date.accessioned2020-02-06T12:23:22Z
dc.date.available2020-02-06T12:23:22Z
dc.date.issued2019
dc.description.abstractAnalysis of variance (ANOVA) is one of the most frequently used statistical analyses in several research areas, namely in medical research. Despite its wide use, it has been applied assuming that sample dimensions are known. In this work we aim to carry out ANOVA like analysis of one-way fixed effects models, to situations where the samples sizes may not be previously known. In these situations it is more appropriate to consider the sample sizes as realizations of independent random variables. This approach must be based on an adequate choice of the distributions of the samples sizes. We assume the Poisson distribution when the occurrence of observations corresponds to a counting process. The Binomial distribution is the proper choice if we have observations failures and there exist an upper bound for the sample sizes. We also show how to carry out our main goal by computing correct critical values. The applicability of the proposed approach is illustrated considering a real data example on cancer registries. The results obtained suggested that false rejections may be avoided by applying our approach.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.doi10.1016/j.cam.2018.05.057pt_PT
dc.identifier.urihttp://hdl.handle.net/10400.6/9065
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
dc.relationCentro de Matemática e Aplicações da Universidade da Beira Interior (CMA-UBI) [UID/MAT/00212/2013]
dc.relationCentro de Matemática e Aplicações (CMA) - FCT NOVA [UID/MAT/00297/2013]
dc.subjectANOVApt_PT
dc.subjectRandom sample sizespt_PT
dc.subjectFixed effects modelspt_PT
dc.subjectCorrect critical valuespt_PT
dc.subjectCancer registriespt_PT
dc.titleExact critical values for one-way fixed effects models with random sample sizespt_PT
dc.typejournal article
dspace.entity.typePublication
oaire.awardTitleCentro de Matemática e Aplicações da Universidade da Beira Interior (CMA-UBI) [UID/MAT/00212/2013]
oaire.awardTitleCentro de Matemática e Aplicações (CMA) - FCT NOVA [UID/MAT/00297/2013]
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/5876/UID%2FMAT%2F00212%2F2013/PT
oaire.awardURIinfo:eu-repo/grantAgreement/FCT/5876/UID%2FMAT%2F00297%2F2013/PT
oaire.citation.endPage122pt_PT
oaire.citation.startPage112pt_PT
oaire.citation.titleJournal of Computational and Applied Mathematicspt_PT
oaire.citation.volume354pt_PT
oaire.fundingStream5876
oaire.fundingStream5876
person.familyNameNunes
person.familyNameCapistrano Cunha de Andrade
person.familyNameFerreira
person.familyNameFerreira
person.familyNameMexia
person.givenNameCélia
person.givenNameGilberto
person.givenNameDário
person.givenNameSandra
person.givenNameJoão
person.identifierR-000-3NA
person.identifier2024547
person.identifier1454084
person.identifierR-000-7FX
person.identifier.ciencia-idAC1F-3CA0-75FE
person.identifier.ciencia-idEE1B-D429-EAD3
person.identifier.ciencia-id9B1C-6DF8-2872
person.identifier.ciencia-idE01A-BAE7-2B14
person.identifier.ciencia-id0A1B-09AC-0E39
person.identifier.orcid0000-0003-0167-4851
person.identifier.orcid0000-0001-7745-1940
person.identifier.orcid0000-0001-9095-0947
person.identifier.orcid0000-0002-9209-7772
person.identifier.orcid0000-0001-8620-0721
person.identifier.ridH-1231-2016
person.identifier.ridF-5604-2013
person.identifier.scopus-author-id57194580125
person.identifier.scopus-author-id55927125000
person.identifier.scopus-author-id37088452300
person.identifier.scopus-author-id37088374700
person.identifier.scopus-author-id6603673040
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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