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Estimating Latent Variable Interactions with the Unconstrained Approach: A Comparison of Methods to Form Product Indicators for Large,Unequal Numbers of Items

机译：用无约束方法估算潜在的变量交互作用：比较用于形成数量不等大项目的产品指标的方法的比较

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摘要

This Monte Carlo simulation study investigated methods of forming product indicators for the unconstrained approach for latent variable interaction estimation when the exogenous factors are measured by large and unequal numbers of indicators. Product indicators were created based on multiplying parcels of the larger scale by indicators of the smaller scale, multiplying the three most reliable indicators of each scale matched by reliability, and matching items by reliability to create as many product indicators as the number of indicators of the smallest scale. The unconstrained approach was compared with the latent moderated structural equations (LMS) approach. All methods considered provided unbiased parameter estimates. Unbiased standard errors were obtained in all conditions with the LMS approach and when the sample size was large with the unconstrained approach. Power levels to test the latent interaction and Type I error rates were similar for all methods but slightly better for the LMS approach.
机译：这项蒙特卡洛模拟研究研究了当用大量且不相等数量的指标衡量外生因素时，用于无约束方法进行潜在变量相互作用估计的产品指标形成方法。产品指标的创建基于以下条件：将较大比例的地块乘以较小比例的指标，将每个比例的三个最可靠的指标乘以可靠性，然后将项目与可靠性进行匹配，以创建与指标的数量一样多的产品指标最小规模。将无约束方法与潜在的适度结构方程（LMS）方法进行了比较。所考虑的所有方法均提供了无偏参数估计。使用LMS方法在所有条件下以及使用无约束方法的样本量较大时，都可获得无偏标准误差。所有方法测试潜在交互作用的功率水平和I型错误率均相似，但LMS方法则稍好一些。

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