Abstract

Model size has been shown to influence model fit measures in structural equation modeling, whereas its impact on measurement invariance testing using recommended cutoff criteria of fit measures is not clear. This study examined the impact of model size on the sensitivity of fit measures (CFI, RMSEA, AIC, BIC, SaBIC, LRT) to measurement noninvariance. Results suggested that CFI and RMSEA failed to detect metric noninvariance when model size was large (e.g., 6 factors with 8 items per factor). AIC and LRT were minimally affected by model size. Recommendations for empirical researchers were provided based on the findings of this simulation study.

摘要

模型大小已被证明会影响结构方程建模中的模型拟合度量，而其对使用推荐的拟合度量截止标准的测量不变性测试的影响尚不清楚。本研究检查了模型大小对拟合测量（CFI、RMSEA、AIC、BIC、SaBIC、LRT）对测量非不变性的敏感性的影响。结果表明，当模型规模很大时（例如，6 个因素，每个因素 8 个项目），CFI 和 RMSEA 无法检测到度量的非不变性。AIC 和 LRT 受模型大小的影响最小。根据该模拟研究的结果，为经验研究人员提供了建议。