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先前规范对贝叶斯因子混合建模性能的影响。

Impact of prior specifications on performance of Bayesian factor mixture modeling.

作者信息

Wang Yan, Kim Eunsook, Hsu Hsien-Yuan

机构信息

Department of Psychology, University of Massachusetts Lowell, 850 Broadway St, Lowell, MA, 01854, USA.

Department of Educational and Psychological Studies, University of South Florida, Tampa, FL, USA.

出版信息

Behav Res Methods. 2025 Feb 26;57(4):103. doi: 10.3758/s13428-025-02619-0.

DOI:10.3758/s13428-025-02619-0
PMID:40011342
Abstract

Factor mixture modeling (FMM) has been increasingly adopted in social, behavioral, and health sciences to identify population heterogeneity by incorporating both continuous latent variables (i.e., latent factors) and categorical latent variables (i.e., latent classes). FMM is known to face a variety of methodological challenges given its model complexity, and this study evaluates the potential of Bayesian estimation, particularly prior specifications, in addressing two challenges of FMM: classification accuracy and parameter recovery. We considered possible scenarios in applied research where subjective beliefs regarding class separation were incorporated into prior specifications such that subjective class separation might be greater or smaller than the true class separation in the population. Results of comprehensive Monte Carlo simulations showed adequate model performance using a moderately informative prior with subjective class separation greater than the true class separation. Practical implications for researchers are provided.

摘要

因子混合模型(FMM)在社会、行为和健康科学中越来越多地被采用,通过纳入连续潜变量(即潜因子)和分类潜变量(即潜类别)来识别群体异质性。鉴于其模型复杂性,FMM面临各种方法学挑战,本研究评估贝叶斯估计的潜力,特别是先验规范,以应对FMM的两个挑战:分类准确性和参数恢复。我们考虑了应用研究中的可能情况,即将关于类别分离的主观信念纳入先验规范,使得主观类别分离可能大于或小于总体中的真实类别分离。全面的蒙特卡罗模拟结果表明,使用主观类别分离大于真实类别分离的适度信息先验时,模型性能良好。为研究人员提供了实际应用建议。

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本文引用的文献

1
The Importance of Prior Sensitivity Analysis in Bayesian Statistics: Demonstrations Using an Interactive Shiny App.贝叶斯统计中先验敏感性分析的重要性:使用交互式Shiny应用程序的演示
Front Psychol. 2020 Nov 24;11:608045. doi: 10.3389/fpsyg.2020.608045. eCollection 2020.
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The complexity of trauma exposure and response: Profiling PTSD and CPTSD among a refugee sample.创伤暴露和反应的复杂性:难民样本中 PTSD 和 CPTSD 的特征分析。
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Investigating Approaches to Estimating Covariate Effects in Growth Mixture Modeling: A Simulation Study.
生长混合模型中估计协变量效应的方法研究:一项模拟研究
Educ Psychol Meas. 2017 Oct;77(5):766-791. doi: 10.1177/0013164416653789. Epub 2016 Jun 15.
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Detecting Multiple Random Changepoints in Bayesian Piecewise Growth Mixture Models.贝叶斯分段增长混合模型中多个随机变点的检测。
Psychometrika. 2018 Sep;83(3):733-750. doi: 10.1007/s11336-017-9594-5. Epub 2017 Nov 17.
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A systematic review of Bayesian articles in psychology: The last 25 years.一项关于心理学中贝叶斯文章的系统评价:过去 25 年。
Psychol Methods. 2017 Jun;22(2):217-239. doi: 10.1037/met0000100.
6
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Fitting a linear-linear piecewise growth mixture model with unknown knots: A comparison of two common approaches to inference.拟合带有未知节点的线性-线性分段增长混合模型:两种常见推断方法的比较。
Psychol Methods. 2015 Jun;20(2):259-75. doi: 10.1037/met0000034. Epub 2015 Apr 13.
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Identification of anxiety sensitivity classes and clinical cut-scores in a sample of adult smokers: results from a factor mixture model.成年吸烟者样本中焦虑敏感性类别及临床临界分数的识别:来自因子混合模型的结果
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Bayesian Inference for Growth Mixture Models with Latent Class Dependent Missing Data.具有潜在类别相关缺失数据的增长混合模型的贝叶斯推断
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10
Mixture class recovery in GMM under varying degrees of class separation: frequentist versus Bayesian estimation.变类分离程度下 GMM 中的混合类恢复:频率主义与贝叶斯估计。
Psychol Methods. 2013 Jun;18(2):186-219. doi: 10.1037/a0031609. Epub 2013 Mar 25.