Estimating Latent Variable Interactions With Non-Normal Observed Data: A Comparison of Four Approaches.
Estimating Latent Variable Interactions With Non-Normal Observed Data: A Comparison of Four Approaches.
复制标题
DOI：
10.1080/00273171.2012.732901
复制
发表时间：
2012-11
影响因子：
3.8
通讯作者：
Aiken LS
中科院分区：
文献类型：
--
作者：
Cham H;West SG;Ma Y;Aiken LS
采用Monte Carlo模拟研究了4种潜在变量交互作用建模方法（约束乘积指标（CPI）、广义广义广义乘积指标（GAPI）、无约束乘积指标（UPI）和潜在调节结构方程（LMS））在观测到的外生变量高度非正态性下的稳健性。结果表明，当外生变量高度非正态时，CPI和LMS方法对交互效应的估计存在偏差。当违反非正态性不严重时（正态;对称且过度峰度< 1），LMS方法产生了具有最高统计功效的潜在相互作用效应的最有效估计值。在高度非正态条件下，采用ML估计的GAPI和UPI方法产生了无偏的潜在相互作用效应估计值，对于N ≥ 500的相互作用效应的Wald和似然比检验，实际I型错误率可接受。一个实证的例子说明了使用的四种方法在测试的学习自我效能感和积极的家庭角色模型之间的预测学习成绩的潜在变量的相互作用。
A Monte Carlo simulation was conducted to investigate the robustness of four latent variable interaction modeling approaches (Constrained Product Indicator [CPI], Generalized Appended Product Indicator [GAPI], Unconstrained Product Indicator [UPI], and Latent Moderated Structural Equations [LMS]) under high degrees of non-normality of the observed exogenous variables. Results showed that the CPI and LMS approaches yielded biased estimates of the interaction effect when the exogenous variables were highly non-normal. When the violation of non-normality was not severe (normal; symmetric with excess kurtosis < 1), the LMS approach yielded the most efficient estimates of the latent interaction effect with the highest statistical power. In highly non-normal conditions, the GAPI and UPI approaches with ML estimation yielded unbiased latent interaction effect estimates, with acceptable actual Type-I error rates for both the Wald and likelihood ratio tests of interaction effect at N ≥ 500. An empirical example illustrated the use of the four approaches in testing a latent variable interaction between academic self-efficacy and positive family role models in the prediction of academic performance.
登录
查看更多内容
影响因子：
7.6
作者：
Ledgerwood A;Shrout PE
通讯作者：
Shrout PE
DOI：
10.1080/10705511.2011.582408
发表时间：
2011-01-01
影响因子：
6
作者：
Kelava, Augustin;Werner, Christina S.;West, Stephen G.
通讯作者：
West, Stephen G.
影响因子：
22.4
作者：
JACCARD, J;WAN, CK
通讯作者：
WAN, CK
影响因子：
7
作者：
Curran, PJ;West, SG;Finch, JF
通讯作者：
Finch, JF
DOI：
10.1111/j.2044-8317.1991.tb00966.x
发表时间：
1991-11-01
影响因子：
2.6
作者：
CHOU, CP;BENTLER, PM;SATORRA, A
通讯作者：
SATORRA, A