{
  "creator": [
    "Zhao, Hongwei",
    "Vermunt, Jeroen K.",
    "De Roover, Kim"
  ],
  "date": [
    "2025-12-18"
  ],
  "description": [
    "In social sciences, researchers often compare relations between constructs, referred to as “structural relations”, across a large number of groups. This paper proposes Mixture Multigroup Bayesian SEM (MixMG-BSEM), a novel method for comparing structural relations across many groups while accounting for approximate measurement invariance in factor loadings. Traditional methods often assume exact measurement invariance, which may not reflect real-world data where small differences in measurement parameters commonly occur across many groups. MixMG-BSEM addresses this by using Multigroup Bayesian CFA with small-variance priors to allow for these small differences, and groups are then clustered based on their structural relations using Mixture Modeling. This is done in a stepwise estimation procedure built on the structural-after-measurement approach. By combining cluster-specific structural relations with small between-group differences in measurement parameters, MixMG-BSEM obtains a clustering that is driven only by the structural relations. The robustness and effectiveness of MixMG-BSEM are demonstrated through a simulation study."
  ],
  "format": [
    "application/pdf",
    "text/html",
    "text/xml"
  ],
  "identifier": [
    "https://meth.psychopen.eu/index.php/meth/article/view/16411",
    "10.5964/meth.16411"
  ],
  "language": [
    "eng"
  ],
  "publisher": [
    "PsychOpen GOLD / Leibniz Institut for Psychology (ZPID)"
  ],
  "relation": [
    "https://meth.psychopen.eu/index.php/meth/article/view/16411/16411.pdf",
    "https://meth.psychopen.eu/index.php/meth/article/view/16411/16411.html",
    "https://meth.psychopen.eu/index.php/meth/article/view/16411/16411.xml"
  ],
  "rights": [
    "Copyright (c) 2025 Hongwei Zhao, Jeroen K. Vermunt, Kim De Roover",
    "https://creativecommons.org/licenses/by/4.0"
  ],
  "source": [
    "Methodology; Vol. 21 No. 4 (2025); 286–312",
    "1614-2241",
    "1614-1881",
    "10.5964/meth.v21i4"
  ],
  "subject": [
    "Multigroup Bayesian SEM",
    "Approximate Measurement Invariance",
    "Mixture Modeling",
    "Structural Relation"
  ],
  "title": [
    "Mixture Multigroup Bayesian SEM With Approximate Measurement Invariance for Comparing Structural Relations Across Many Groups"
  ],
  "type": [
    "info:eu-repo/semantics/article",
    "info:eu-repo/semantics/publishedVersion",
    "Peer-reviewed article"
  ]
}