Testing for random interaction: The symmetry assumption

dc.authoridGüven, Bilgehan / 0000-0001-8661-1408
dc.contributor.authorGüven, Bilgehan
dc.date.accessioned2025-05-29T02:57:45Z
dc.date.available2025-05-29T02:57:45Z
dc.date.issued2025
dc.departmentÇanakkale Onsekiz Mart Üniversitesi
dc.description.abstractThe F-test for the hypothesis of no interaction effects in any mixed model is valid under the assumption of normality, symmetry, and variance homogeneity of the error terms. We consider the balanced two-way mixed model in which the usual assumptions do not hold. The model allows for dependence of the random main and interaction effects, variance heterogeneity in the random interaction effects and error terms and also do not require normality. We propose the test for testing the hypothesis of no interaction effect in this model. The asymptotic null distribution of the test statistic is the normal distribution and studied under the condition that the number of levels of random effect tends to be large.
dc.identifier.doi10.1080/03610926.2025.2488896
dc.identifier.issn0361-0926
dc.identifier.issn1532-415X
dc.identifier.scopus2-s2.0-105003439118
dc.identifier.scopusqualityQ2
dc.identifier.urihttps://doi.org/10.1080/03610926.2025.2488896
dc.identifier.urihttps://hdl.handle.net/20.500.12428/30167
dc.identifier.wosWOS:001474191400001
dc.identifier.wosqualityQ4
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorGuven, Bilgehan
dc.language.isoen
dc.publisherTaylor & Francis Inc
dc.relation.ispartofCommunications In Statistics-Theory and Methods
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WOS_20250529
dc.subjectAsymptotic theory
dc.subjecthypothesis testing
dc.subjectsymmetry assumption
dc.subjectheterogeneity variance
dc.titleTesting for random interaction: The symmetry assumption
dc.typeArticle

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