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MIIVefa:一个使用模型隐含工具变量进行新型探索性因子分析的R包。

MIIVefa: An R Package for a New Type of Exploratory Factor Anaylysis Using Model-Implied Instrumental Variables.

作者信息

Luo Lan, Gates Kathleen M, Bollen Kenneth A

机构信息

Department of Psychology and Neuroscience, University of North Carolina at Chapel Hill, Chapel Hill, NC, USA.

Department of Sociology, University of North Carolina at Chapel Hill, Chapel Hill, NC, USA.

出版信息

Multivariate Behav Res. 2025 May-Jun;60(3):589-597. doi: 10.1080/00273171.2024.2436418. Epub 2024 Dec 27.

DOI:10.1080/00273171.2024.2436418
PMID:39731263
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC12189262/
Abstract

We present the R package MIIVefa, designed to implement the MIIV-EFA algorithm. This algorithm explores and identifies the underlying factor structure within a set of variables. The resulting model is not a typical exploratory factor analysis (EFA) model because some loadings are fixed to zero and it allows users to include hypothesized correlated errors such as might occur with longitudinal data. As such, it resembles a confirmatory factor analysis (CFA) model. But, unlike CFA, the MIIV-EFA algorithm determines the number of factors and the items that load on these factors directly from the data. We provide both simulation and empirical examples to illustrate the application of MIIVefa and discuss its benefits and limitations.

摘要

我们展示了R包MIIVefa,其设计目的是实现MIIV-EFA算法。该算法探索并识别一组变量中的潜在因子结构。所得模型不是典型的探索性因子分析(EFA)模型,因为一些载荷被固定为零,并且它允许用户纳入假设的相关误差,比如纵向数据中可能出现的误差。因此,它类似于验证性因子分析(CFA)模型。但是,与CFA不同,MIIV-EFA算法直接从数据中确定因子数量以及加载在这些因子上的项目。我们提供了模拟和实证示例来说明MIIVefa的应用,并讨论其优点和局限性。

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本文引用的文献

1
A Model Implied Instrumental Variable Approach to Exploratory Factor Analysis (MIIV-EFA).模型隐含工具变量探索性因子分析方法(MIIV-EFA)。
Psychometrika. 2024 Jun;89(2):687-716. doi: 10.1007/s11336-024-09949-6. Epub 2024 Mar 26.
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When Good Loadings Go Bad: Robustness in Factor Analysis.当良好载荷变差时:因子分析中的稳健性
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Selecting scaling indicators in structural equation models (sems).选择结构方程模型(sems)中的标度指标。
Psychol Methods. 2024 Oct;29(5):868-889. doi: 10.1037/met0000530. Epub 2022 Oct 6.
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Statistical significance: p value, 0.05 threshold, and applications to radiomics-reasons for a conservative approach.统计学意义:p 值、0.05 阈值及在放射组学中的应用——为什么要采取保守的方法。
Eur Radiol Exp. 2020 Mar 11;4(1):18. doi: 10.1186/s41747-020-0145-y.
5
Latent variable GIMME using model implied instrumental variables (MIIVs).使用模型隐含工具变量(MIIVs)的潜在变量 GIMME。
Psychol Methods. 2020 Apr;25(2):227-242. doi: 10.1037/met0000229. Epub 2019 Jun 27.
6
ROBUSTNESS CONDITIONS FOR MIIV-2SLS WHEN THE LATENT VARIABLE OR MEASUREMENT MODEL IS STRUCTURALLY MISSPECIFIED.当潜在变量或测量模型存在结构误设时MIIV-2SLS的稳健性条件
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Model Implied Instrumental Variables (MIIVs): An Alternative Orientation to Structural Equation Modeling.模型隐含工具变量(MIIVs):对结构方程建模的另一种取向。
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The Scree Test For The Number Of Factors.因子数量的碎石检验
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Exploratory Factor Analysis With Small Sample Sizes.小样本量的探索性因素分析
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A Monte Carlo study comparing PIV, ULS and DWLS in the estimation of dichotomous confirmatory factor analysis.一项比较 PIV、ULS 和 DWLS 在二项式验证性因素分析估计中的蒙特卡罗研究。
Br J Math Stat Psychol. 2013 Feb;66(1):127-43. doi: 10.1111/j.2044-8317.2012.02044.x. Epub 2012 Apr 24.