Testing polynomial covariate effects in linear and generalized linear mixed models

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dc.creatorHuang, Mingyan
dc.creatorZhang, Daowen
dc.date2008-02-08
dc.date2008-12-29
dc.date.accessioned2026-07-07T12:22:12Z
dc.date.available2026-07-07T12:22:12Z
dc.descriptionAn important feature of linear mixed models and generalized linear mixed models is that the conditional mean of the response given the random effects, after transformed by a link function, is linearly related to the fixed covariate effects and random effects. Therefore, it is of practical importance to test the adequacy of this assumption, particularly the assumption of linear covariate effects. In this paper, we review procedures that can be used for testing polynomial covariate effects in these popular models. Specifically, four types of hypothesis testing approaches are reviewed, i.e. R tests, likelihood ratio tests, score tests and residual-based tests. Derivation and performance of each testing procedure will be discussed, including a small simulation study for comparing the likelihood ratio tests with the score tests.
dc.descriptionPublished in at http://dx.doi.org/10.1214/08-SS036 the Statistics Surveys (http://www.i-journals.org/ss/) by the Institute of Mathematical Statistics (http://www.imstat.org)
dc.identifierhttps://arxiv.org/abs/0802.1103
dc.identifierhttp://arxiv.org/abs/0802.1103
dc.identifierStatistics Surveys 2008, Vol. 2, 154-169
dc.identifierdoi:10.1214/08-SS036
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/213573
dc.subjectApplications
dc.titleTesting polynomial covariate effects in linear and generalized linear mixed models
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