Abstract

Error variance in structural models is often specified as a conditional variance associated with a manifest variable or as a regression path from a standardized error variance. This paper describes scenarios in which specification of both terms is useful: (1) Corrections for attenuation in single indicator factor models; (2) Tests of the equality in the proportion of explained variance across multiple dependent variables in regression models; (3) Factor models with two indicators; and (4) Tests of invariance in the proportion of measurement error variance across occasions in growth curve models. Examples of such models using both simulated and real-world data are presented.

摘要

结构模型中的误差方差通常被指定为与显变量相关联的条件方差或标准化误差方差的回归路径。本文描述了两个术语的规范有用的场景：（1）对单一指标因子模型中衰减的修正；(2) 检验回归模型中多个因变量的解释方差比例的平等性；(3) 两个指标的因子模型；(4) 增长曲线模型中测量误差方差比例跨场合的不变性检验。介绍了使用模拟和真实世界数据的此类模型的示例。