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Analyzing average and conditional effects with multigroup multilevel structural equation models

机译:使用多组多级结构方程模型分析平均效应和条件效应

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摘要

Conventionally, multilevel analysis of covariance (ML-ANCOVA) has been the recommended approach for analyzing treatment effects in quasi-experimental multilevel designs with treatment application at the cluster-level. In this paper, we introduce the generalized ML-ANCOVA with linear effect functions that identifies average and conditional treatment effects in the presence of treatment-covariate interactions. We show how the generalized ML-ANCOVA model can be estimated with multigroup multilevel structural equation models that offer considerable advantages compared to traditional ML-ANCOVA. The proposed model takes into account measurement error in the covariates, sampling error in contextual covariates, treatment-covariate interactions, and stochastic predictors. We illustrate the implementation of ML-ANCOVA with an example from educational effectiveness research where we estimate average and conditional effects of early transition to secondary schooling on reading comprehension.
机译:常规上,协方差的多层次分析(ML-ANCOVA)已被推荐为在集群级进行治疗的准实验多层次设计中分析治疗效果的推荐方法。在本文中,我们介绍了带有线性效应函数的广义ML-ANCOVA,它可以在存在治疗协变量相互作用的情况下识别平均和条件治疗效应。我们展示了如何使用多组多级结构方程模型来估计广义ML-ANCOVA模型,与传统的ML-ANCOVA相比,该模型具有明显的优势。所提出的模型考虑了协变量中的测量误差,上下文协变量中的采样误差,治疗协变量之间的相互作用以及随机预测变量。我们以教育效果研究为例说明了ML-ANCOVA的实施情况,该研究估计了早期过渡到中学阶段对阅读理解的平均和条件影响。

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