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Equivalence Set Restricted Latent Class Models (ESRLCM)

Machine Learning 2024-06-07 v1 Machine Learning Statistics Theory Statistics Theory

Abstract

Latent Class Models (LCMs) are used to cluster multivariate categorical data, commonly used to interpret survey responses. We propose a novel Bayesian model called the Equivalence Set Restricted Latent Class Model (ESRLCM). This model identifies clusters who have common item response probabilities, and does so more generically than traditional restricted latent attribute models. We verify the identifiability of ESRLCMs, and demonstrate the effectiveness in both simulations and real-world applications.

Keywords

Cite

@article{arxiv.2406.03653,
  title  = {Equivalence Set Restricted Latent Class Models (ESRLCM)},
  author = {Jesse Bowers and Steve Culpepper},
  journal= {arXiv preprint arXiv:2406.03653},
  year   = {2024}
}

Comments

43 pages, 10 tables, 1 figure

R2 v1 2026-06-28T16:55:11.806Z