Dynamic Fit Index Cutoffs for Hierarchical and Second-Order Factor Models

IF 2.5 2区 心理学 Q2 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Structural Equation Modeling: A Multidisciplinary Journal Pub Date : 2023-07-28 DOI:10.1080/10705511.2023.2225132
Daniel McNeish, Patrick D. Manapat
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Abstract

A recent review found that 11% of published factor models are hierarchical models with second-order factors. However, dedicated recommendations for evaluating hierarchical model fit have yet to emerge. Traditional benchmarks like RMSEA <0.06 or CFI >0.95 are often consulted, but they were never intended to generalize to hierarchical models. Through simulation, we show that traditional benchmarks perform poorly at identifying misspecification in hierarchical models. This corroborates previous studies showing that traditional benchmarks do not maintain optimal sensitivity to misspecification as model characteristics deviate from those used to derive the benchmarks. Instead, we propose a hierarchical extension to the dynamic fit index (DFI) framework, which automates custom simulations to derive cutoffs with optimal sensitivity for specific model characteristics. In simulations to evaluate performance, results showed that the hierarchical DFI extension routinely exceeded 95% classification accuracy and 90% sensitivity to misspecification whereas traditional benchmarks applied to hierarchical models rarely exceeded 50% classification accuracy and 20% sensitivity.

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层次和二阶因子模型的动态拟合指标截止值
最近的一项综述发现,已发表的因子模型中有11%是具有二阶因子的层次模型。然而,评估层次模型拟合的专门建议尚未出现。像RMSEA <0.06或CFI >0.95这样的传统基准经常被参考,但它们从来没有打算推广到分层模型。通过仿真,我们表明传统的基准测试在识别层次模型中的错误规范方面表现不佳。这证实了先前的研究表明,传统基准不能保持对错误规范的最佳灵敏度,因为模型特征偏离了用于推导基准的模型特征。相反,我们提出了对动态拟合指数(DFI)框架的分层扩展,该框架可以自动定制模拟,以针对特定模型特征获得具有最佳灵敏度的截止值。在评估性能的模拟中,结果表明,分层DFI扩展通常超过95%的分类精度和90%的错误描述灵敏度,而传统的用于分层模型的基准很少超过50%的分类精度和20%的灵敏度。
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来源期刊
CiteScore
8.70
自引率
11.70%
发文量
71
审稿时长
>12 weeks
期刊介绍: Structural Equation Modeling: A Multidisciplinary Journal publishes refereed scholarly work from all academic disciplines interested in structural equation modeling. These disciplines include, but are not limited to, psychology, medicine, sociology, education, political science, economics, management, and business/marketing. Theoretical articles address new developments; applied articles deal with innovative structural equation modeling applications; the Teacher’s Corner provides instructional modules on aspects of structural equation modeling; book and software reviews examine new modeling information and techniques; and advertising alerts readers to new products. Comments on technical or substantive issues addressed in articles or reviews published in the journal are encouraged; comments are reviewed, and authors of the original works are invited to respond.
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