Incorporating Machine Learning Into Factor Mixture Modeling: Identification of Covariate Interactions to Explain Population Heterogeneity

Factor mixture modeling (FMM) has been widely adopted in health and behavioral sciences to examine unobserved population heterogeneity. Covariates are often included in FMM as predictors of the latent class membership via multinomial logistic regression to help understand the formation and character...

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Main Authors: Yan Wang, Tonghui Xu, Jiabin Shen
Format: Article
Language:English
Published: PsychOpen GOLD/ Leibniz Institute for Psychology 2023-09-01
Series:Methodology
Subjects:
Online Access:https://doi.org/10.5964/meth.9487
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author Yan Wang
Tonghui Xu
Jiabin Shen
author_facet Yan Wang
Tonghui Xu
Jiabin Shen
author_sort Yan Wang
collection DOAJ
description Factor mixture modeling (FMM) has been widely adopted in health and behavioral sciences to examine unobserved population heterogeneity. Covariates are often included in FMM as predictors of the latent class membership via multinomial logistic regression to help understand the formation and characterization of population heterogeneity. However, interaction effects among covariates have received considerably less attention, which might be attributable to the fact that interaction effects cannot be identified in a straightforward fashion. This study demonstrated the utility of structural equation model or SEM trees as an exploratory method to automatically search for covariate interactions that might explain heterogeneity in FMM. That is, following FMM analyses, SEM trees are conducted to identify covariate interactions. Next, latent class membership is regressed on the covariate interactions as well as all main effects of covariates. This approach was demonstrated using the Traumatic Brain Injury Model System National Database.
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spelling doaj.art-c4eee871604843f59eaed764d5892b9f2024-02-08T10:51:09ZengPsychOpen GOLD/ Leibniz Institute for PsychologyMethodology1614-22412023-09-0119330332210.5964/meth.9487meth.9487Incorporating Machine Learning Into Factor Mixture Modeling: Identification of Covariate Interactions to Explain Population HeterogeneityYan Wang0https://orcid.org/0000-0003-2237-8816Tonghui Xu1Jiabin Shen2https://orcid.org/0000-0001-6625-5215Department of Psychology, University of Massachusetts Lowell, Lowell, MA, USASchool of Education, University of Massachusetts Lowell, Lowell, MA, USADepartment of Psychology, University of Massachusetts Lowell, Lowell, MA, USAFactor mixture modeling (FMM) has been widely adopted in health and behavioral sciences to examine unobserved population heterogeneity. Covariates are often included in FMM as predictors of the latent class membership via multinomial logistic regression to help understand the formation and characterization of population heterogeneity. However, interaction effects among covariates have received considerably less attention, which might be attributable to the fact that interaction effects cannot be identified in a straightforward fashion. This study demonstrated the utility of structural equation model or SEM trees as an exploratory method to automatically search for covariate interactions that might explain heterogeneity in FMM. That is, following FMM analyses, SEM trees are conducted to identify covariate interactions. Next, latent class membership is regressed on the covariate interactions as well as all main effects of covariates. This approach was demonstrated using the Traumatic Brain Injury Model System National Database.https://doi.org/10.5964/meth.9487factor mixture modellatent classmachine learningstructural equation model treescovariateinteraction
spellingShingle Yan Wang
Tonghui Xu
Jiabin Shen
Incorporating Machine Learning Into Factor Mixture Modeling: Identification of Covariate Interactions to Explain Population Heterogeneity
Methodology
factor mixture model
latent class
machine learning
structural equation model trees
covariate
interaction
title Incorporating Machine Learning Into Factor Mixture Modeling: Identification of Covariate Interactions to Explain Population Heterogeneity
title_full Incorporating Machine Learning Into Factor Mixture Modeling: Identification of Covariate Interactions to Explain Population Heterogeneity
title_fullStr Incorporating Machine Learning Into Factor Mixture Modeling: Identification of Covariate Interactions to Explain Population Heterogeneity
title_full_unstemmed Incorporating Machine Learning Into Factor Mixture Modeling: Identification of Covariate Interactions to Explain Population Heterogeneity
title_short Incorporating Machine Learning Into Factor Mixture Modeling: Identification of Covariate Interactions to Explain Population Heterogeneity
title_sort incorporating machine learning into factor mixture modeling identification of covariate interactions to explain population heterogeneity
topic factor mixture model
latent class
machine learning
structural equation model trees
covariate
interaction
url https://doi.org/10.5964/meth.9487
work_keys_str_mv AT yanwang incorporatingmachinelearningintofactormixturemodelingidentificationofcovariateinteractionstoexplainpopulationheterogeneity
AT tonghuixu incorporatingmachinelearningintofactormixturemodelingidentificationofcovariateinteractionstoexplainpopulationheterogeneity
AT jiabinshen incorporatingmachinelearningintofactormixturemodelingidentificationofcovariateinteractionstoexplainpopulationheterogeneity