楊 志堅, 楊 志強, 蔡 良庭, Shu-Yu Lyu

Research output: Contribution to journalArticlepeer-review


This study is to investigate the screening accuracies between competing models by using RMSEA methods and Chi-square difference tests. The experimental design to demonstrate the accuracies contains various magnitudes of sample sizes, factor loadings, and degrees of freedom when multiple group confirmatory factor analysis is used to test measurement invariance. Some conventional practices believed that Chi-square difference test could be sensitive to sample sizes in selecting competing models while RMSEA may not have the problems. Results of simulation studies in this paper show that the beliefs have to be adjusted at least for some specified conditions, for example, some magnitudes of sample sizes, model differences, and model complexity (i.e., degrees of freedom). Discussions and implications on the interesting results are provided.
Translated title of the contribution Evaluating RMSEA and Chi-square Difference Tests in Testing Model Differences: An Application of Testing easurement Invariance
Original languageEnglish
Pages (from-to)53-72
Number of pages16
JournalJournal of Education & Psychology
Issue number4
Publication statusPublished - Dec 2009


  • Chi-square difference test
  • RMSEA difference test
  • multiple group CFA
  • measurement invariance


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