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Type of Document Master's Thesis Author Zhang, Wei URN etd-10272005-175023 Title A Comparison of Four Estimators of a Population Measure of Model Misfit in Covariance Structure Analysis Degree Master of Arts Department Psychology Advisory Committee
Advisor Name Title Ke-Hai Yuan Committee Chair Scott Maxwell Committee Member Steven Boker Committee Member Keywords
- covariance structure analysis
- model fit
Date of Defense 2005-08-31 Availability restricted Abstract A major issue in the utilization of covariance structure analysis is model misfitevaluation. Recent years have witnessed increasing interest in various test statistics
and so-called fit indices, most of which are actually based on or closely related
to F0, a measure of model misfit in the population. The present study aims to
provide a systematic investigation about the performance of four estimators of F0
available. F01 is the conventional estimator and is based on noncentral chi-square
approximation. F02 is newly proposed and does not assume noncentral chi-square
approximation. F03 and F04 are derivatives of F02. A Monte Carlo simulation study
is conducted to examine how the above four estimators of F0 perform across varying
model misspecifications, data distributions, model complexities, and sample sizes.
Although all four quantities estimate F0 satisfactorily under normality, the results
favor F02 due to its relative robustness to data nonnormality. Issues related to our
findings are discussed.
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