Investigating the performance of level-specific fit indices in multilevel confirmatory factor analysis with dichotomous indicators: A Monte Carlo study

John J.H. Lin*, Hsien Yuan Hsu

*此作品的通信作者

研究成果: 雜誌貢獻期刊論文同行評審

摘要

We conducted a Monte Carlo study to examine the performance of level-specific χ2 test statistics and fit regarding their capacity to determine model fit at specific levels in multilevel confirmatory factor analysis with dichotomous indicators. Five design factors—numbers of groups (NG), group size (GS), intra-class correlation (ICC), thresholds of dichotomous indicators (THR), and factor loadings (FL)—were considered in this study. According to our simulation results, we recommend that practitioners should be aware that the performance of between-level-specific (b-l-s) χ2 and fit indices was mainly influenced by ICC and FL, followed by NG. At the same time, THR could slightly weigh in the performance of b-l-s fit indices in some conditions. Both b-l-s χ2 and fit indices were more promising indicators to correctly indicate model fit when ICC or FL increased. A small to medium NG (50–100) might be sufficient for b-l-s χ2 and fit indices only if both ICC and factor loadings were high, while in remaining conditions, an NG of 200 was needed. Moreover, practitioners could use within-level-specific (w-l-s) χ2 and fit indices (except for RMSEAW) along with traditional cut-off values to evaluate within-level models comprising dichotomous indicators. W-l-s χ2 and fit indices were more promising to determine model fit when FL increased. THR had a slight impact and could weigh in the performance of χW2, RMSEAW, CFIW, and TLIW. Unfortunately, RMSEAW was heavily affected by FL and THR and could determine model fit only when FL was high and THR was symmetric.

原文英語
頁(從 - 到)4222-4259
頁數38
期刊Behavior Research Methods
55
發行號8
DOIs
出版狀態已發佈 - 2023 12月

ASJC Scopus subject areas

  • 實驗與認知心理學
  • 發展與教育心理學
  • 藝術與人文(雜項)
  • 心理學(雜項)
  • 一般心理學

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