Hsiao Yu-Yu, Kwok Oi-Man, Lai Mark H C
Department of Individual, Family, and Community Education, University of New Mexico.
Department of Educational Psychology, Texas A&M University.
Struct Equ Modeling. 2021;28(2):250-260. doi: 10.1080/10705511.2020.1782206. Epub 2020 Jul 30.
We investigated the performance of two single indicator methods: latent moderated structural equation (LMS) and reliability-adjusted product indicator (RAPI) methods, on testing interaction effects with congeneric measures, which vary in factor loadings and error variances under a common factor. Additionally, in the simulation study, we compared the performance of four reliability estimates (Cronbach's alpha, omega composite, Coefficient , and greatest lower bound [GLB]) to adjust for the exogenous composites' measurement errors. Results from the study showed that: while estimating interaction effects with exogenous composites from congeneric measures, the four reliability estimates performed comparably well. Recommendations on the choice of reliability estimates between the LMS and the RAPI methods under different sample sizes and population reliability conditions are further discussed.
潜在调节结构方程（LMS）和可靠性调整乘积指标（RAPI）方法，用于检验具有同属测量指标的交互效应，这些指标在共同因子下的因子载荷和误差方差有所不同。此外，在模拟研究中，我们比较了四种可靠性估计值（克朗巴哈α系数、ω合成系数、系数 以及最大下界[GLB]），以调整外生合成指标的测量误差。研究结果表明：在从同属测量指标估计外生合成指标的交互效应时，这四种可靠性估计值的表现相当。我们还进一步讨论了在不同样本量和总体可靠性条件下，LMS和RAPI方法之间可靠性估计值的选择建议。
