Cluster-level Correlated Error Variance and the Estimation of Parameters in Linear Mixed Models

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dc.contributor.advisorCortina, Jose M.
dc.contributor.authorLuchman, Joseph N.
dc.creatorLuchman, Joseph N.
dc.date.accessioned2014-09-18T01:53:10Z
dc.date.available2014-09-18T01:53:10Z
dc.date.issued2014-05
dc.description.abstractMultilevel theory is extended primarily through the evaluation of cross-level effects, or how some between-cluster predictor explains a within-cluster outcome. Cross-level effects are often estimated using linear mixed models (LMMs). LMMs are susceptible to a bias from correlated error variance, resulting from omitted predictors and correlated error variance or common method variance. The effects of correlated error variance are well known in linear regression, but are relatively less understood in LMMs, an extension of LMM. The current study extends previous research on correlated error variance on cross-level effect LMM parameter estimation by applying a tracing rule methodology to demonstrate the mathematical structure of the bias produced by correlated error variance. The current study shows that bias is mainly produced by omitted variable-between-cluster predictor relationships paired with common method variance in the between-cluster predictor. In particular, both parameters can produce attenuation or accentuation of parameter estimates, depending on the magnitude and direction of the effects. The
dc.format.extent57 pages
dc.identifier.urihttps://hdl.handle.net/1920/8835
dc.language.isoen
dc.rightsCopyright 2014 Joseph N. Luchman
dc.subjectQuantitative psychology and psychometrics
dc.subjectOrganizational behavior
dc.subjectPsychology
dc.subjectCommon Method bias
dc.subjectEndogeneity Bias
dc.subjectLinear Mixed Model
dc.subjectMultilevel
dc.titleCluster-level Correlated Error Variance and the Estimation of Parameters in Linear Mixed Models
dc.typeDissertation
thesis.degree.disciplinePsychology, Industrial/Organizational Concentration
thesis.degree.grantorGeorge Mason University
thesis.degree.levelDoctoral

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