Estimating and visualizing nonlinear relations among latent variables: A semiparametric approach
The graphical presentation of any scientific finding enhances its description, interpretation,
and evaluation. Research involving latent variables is no exception, especially when
potential nonlinear effects are suspect. This article has multiple aims. First, it provides a
nontechnical overview of a semiparametric approach to modeling nonlinear relationships
among latent variables using mixtures of linear structural equations. Second, it provides
several examples showing how the method works and how it is implemented and …
and evaluation. Research involving latent variables is no exception, especially when
potential nonlinear effects are suspect. This article has multiple aims. First, it provides a
nontechnical overview of a semiparametric approach to modeling nonlinear relationships
among latent variables using mixtures of linear structural equations. Second, it provides
several examples showing how the method works and how it is implemented and …
The graphical presentation of any scientific finding enhances its description, interpretation, and evaluation. Research involving latent variables is no exception, especially when potential nonlinear effects are suspect. This article has multiple aims. First, it provides a nontechnical overview of a semiparametric approach to modeling nonlinear relationships among latent variables using mixtures of linear structural equations. Second, it provides several examples showing how the method works and how it is implemented and interpreted in practical applications. In particular, this article examines the potentially nonlinear relationships between positive and negative affect and cognitive processing. Third, a recommended display format for illustrating latent bivariate relationships is demonstrated. Finally, the article describes an R package and an online utility that generate these displays automatically.
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