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潜在变量与有序分类指标的交互作用:无约束乘积指标法与潜在调节结构方程法的比较

Latent Variable Interactions With Ordered-Categorical Indicators: Comparisons of Unconstrained Product Indicator and Latent Moderated Structural Equations Approaches.

作者信息

Aytürk Ezgi, Cham Heining, Jennings Patricia A, Brown Joshua L

机构信息

Fordham University, Bronx, NY, USA.

University of Virginia, Charlottesville, VA, USA.

出版信息

Educ Psychol Meas. 2020 Apr;80(2):262-292. doi: 10.1177/0013164419865017. Epub 2019 Jul 24.

DOI:10.1177/0013164419865017
PMID:32158022
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC7047260/
Abstract

Methods to handle ordered-categorical indicators in latent variable interactions have been developed, yet they have not been widely applied. This article compares the performance of two popular latent variable interaction modeling approaches in handling ordered-categorical indicators: unconstrained product indicator (UPI) and latent moderated structural equations (LMS). We conducted a simulation study across sample sizes, indicators' distributions and category conditions. We also studied four strategies to create sets of product indicators for UPI. Results supported using a parceling strategy to create product indicators in the UPI approach or using the LMS approach when the categorical indicators are symmetrically distributed. We applied these models to study the interaction effect between third- to fifth-grade students' social skills improvement and teacher-student closeness on their state English language arts test scores.

摘要

处理潜在变量交互中有序分类指标的方法已经得到发展,但尚未得到广泛应用。本文比较了两种流行的潜在变量交互建模方法在处理有序分类指标方面的性能:无约束乘积指标(UPI)和潜在调节结构方程(LMS)。我们针对样本量、指标分布和类别条件进行了一项模拟研究。我们还研究了为UPI创建乘积指标集的四种策略。结果支持在UPI方法中使用打包策略来创建乘积指标,或者在分类指标对称分布时使用LMS方法。我们应用这些模型来研究三至五年级学生的社交技能提升与师生亲密程度对其州英语语言艺术测试成绩的交互作用。

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本文引用的文献

1
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Multivariate Behav Res. 2017 Jan-Feb;52(1):12-30. doi: 10.1080/00273171.2016.1245600. Epub 2016 Nov 11.
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A Simple Simulation Technique for Nonnormal Data with Prespecified Skewness, Kurtosis, and Covariance Matrix.一种针对具有预先指定偏度、峰度和协方差矩阵的非正态数据的简单模拟技术。
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The choice of product indicators in latent variable interaction models: post hoc analyses.潜在变量交互模型中产品指标的选择:事后分析。
Psychol Methods. 2014 Sep;19(3):444-57. doi: 10.1037/a0035728. Epub 2014 Apr 28.
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Why the items versus parcels controversy needn't be one.为何项目与包裹之争并非不可调和。
Psychol Methods. 2013 Sep;18(3):285-300. doi: 10.1037/a0033266. Epub 2013 Jul 8.
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Estimating Latent Variable Interactions With Non-Normal Observed Data: A Comparison of Four Approaches.使用非正态观测数据估计潜在变量交互作用:四种方法的比较
Multivariate Behav Res. 2012 Nov;47(6):840-876. doi: 10.1080/00273171.2012.732901. Epub 2013 Jan 17.
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When can categorical variables be treated as continuous? A comparison of robust continuous and categorical SEM estimation methods under suboptimal conditions.类别变量在何时可以视为连续变量?在次优条件下稳健连续和类别 SEM 估计方法的比较。
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Three Approaches to Using Lengthy Ordinal Scales in Structural Equation Models: Parceling, Latent Scoring, and Shortening Scales.在结构方程模型中使用冗长顺序量表的三种方法:打包、潜在评分和缩短量表。
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Generalized latent variable models with non-linear effects.具有非线性效应的广义潜在变量模型
Br J Math Stat Psychol. 2008 Nov;61(Pt 2):415-38. doi: 10.1348/000711007X213963. Epub 2007 May 24.