Rdz-Navarro Karina, Alvarado Jesús M
a Department of Sociology , Faculty of Social Sciences, University of Chile.
b Faculty of Psychology , Complutense University of Madrid.
Multivariate Behav Res. 2015;50(6):645-61. doi: 10.1080/00273171.2015.1071236. Epub 2015 Nov 17.
The current study examines the performance of the extended unconstrained approach (EXUC) and the latent moderated structural equation modeling procedure (LMS) in situations where quadratic and interaction terms are tested simultaneously and investigates their limitations with regard to the employment of parallel and congeneric measures, relatively low indicator reliabilities, and relatively large numbers of indicators. By means of a Monte Carlo study, we found LMS to be the best option for testing multiple nonlinear effects given sufficient sample size (n ≥ 500) and normally distributed exogenous variables. Its advantages became more prominent when indicator reliabilities were heterogeneous and small. The EXUC was a viable option for estimating the model when indicators were parallel and exhibited large indicator reliabilities. An empirical example of the results is provided, and the relevance of measurement model characteristics to assess nonlinear relationships is discussed.
本研究考察了扩展无约束方法（EXUC）和潜在调节结构方程建模程序（LMS）在同时检验二次项和交互项的情况下的表现，并探讨了它们在使用平行和同属测量、相对较低的指标信度以及相对较多的指标方面的局限性。通过蒙特卡洛研究，我们发现，在样本量充足（n≥500）且外生变量呈正态分布的情况下，LMS是检验多个非线性效应的最佳选择。当指标信度异质性且较小时，其优势更为突出。当指标平行且具有较高的指标信度时，EXUC是估计模型的可行选择。文中给出了结果的实证示例，并讨论了测量模型特征对评估非线性关系的相关性。
