Evaluating the Performance of Existing and Novel Equivalence Tests for Structural Equation Modeling

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dc.contributor.advisorCribbie, Robert A.
dc.contributor.authorBeribisky, Nataly
dc.date.accessioned2023-12-08T14:39:44Z
dc.date.available2023-12-08T14:39:44Z
dc.date.issued2023-12-08
dc.date.updated2023-12-08T14:39:43Z
dc.degree.disciplinePsychology (Functional Area: Quantitative Methods)
dc.degree.levelDoctoral
dc.degree.namePhD - Doctor of Philosophy
dc.description.abstractIt has been suggested that equivalence testing (otherwise known as negligible effect testing) be used to evaluate model fit within structural equation modeling (SEM). This dissertation is composed of two studies that propose novel equivalence tests based on the popular RMSEA, CFI and SRMR fit indices. Using Monte Carlo simulations, each study compares the performance of these novel tests to other existing equivalence testing-based fit indices in SEM, as well as to other methods commonly used to evaluate model fit. In each study, results indicate that equivalence tests in SEM have good Type I error control and display considerable power for detecting well-fitting models in medium to large sample sizes. At small sample sizes, relative to traditional fit indices, equivalence tests limit the chance of supporting a poorly fitting model. Both studies also present illustrative examples to demonstrate how equivalence tests can be incorporated in model fit reporting. We recommend that equivalence tests be utilized in conjunction with descriptive fit indices to provide more evidence when evaluating model fit.
dc.identifier.urihttps://hdl.handle.net/10315/41719
dc.languageen
dc.rightsAuthor owns copyright, except where explicitly noted. Please contact the author directly with licensing requests.
dc.subjectPsychology
dc.subjectQuantitative psychology and psychometrics
dc.subject.keywordsStructural equation modeling
dc.subject.keywordsEquivalence testing
dc.subject.keywordsFit indices
dc.subject.keywordsMonte Carlo simulations
dc.subject.keywordsRMSEA
dc.subject.keywordsCFI
dc.subject.keywordsSRMR
dc.subject.keywordsModel fit
dc.titleEvaluating the Performance of Existing and Novel Equivalence Tests for Structural Equation Modeling
dc.typeElectronic Thesis or Dissertation

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