Dependent Latent Class Models

Fuente: arXiv
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Main Authors: Bowers, Jesse, Culpepper, Steve
Format: Preprint
Published: 2022
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author Bowers, Jesse
Culpepper, Steve
author_facet Bowers, Jesse
Culpepper, Steve
contents Latent Class Models (LCMs) are used to cluster multivariate categorical data (e.g. group participants based on survey responses). Traditional LCMs assume a property called conditional independence. This assumption can be restrictive, leading to model misspecification and overparameterization. To combat this problem, we developed a novel Bayesian model called a Dependent Latent Class Model (DLCM), which permits conditional dependence. We verify identifiability of DLCMs. We also demonstrate the effectiveness of DLCMs in both simulations and real-world applications. Compared to traditional LCMs, DLCMs are effective in applications with time series, overlapping items, and structural zeroes.
format Preprint
id arxiv_https___arxiv_org_abs_2205_08677
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle Dependent Latent Class Models
Bowers, Jesse
Culpepper, Steve
Machine Learning
Statistics Theory
Latent Class Models (LCMs) are used to cluster multivariate categorical data (e.g. group participants based on survey responses). Traditional LCMs assume a property called conditional independence. This assumption can be restrictive, leading to model misspecification and overparameterization. To combat this problem, we developed a novel Bayesian model called a Dependent Latent Class Model (DLCM), which permits conditional dependence. We verify identifiability of DLCMs. We also demonstrate the effectiveness of DLCMs in both simulations and real-world applications. Compared to traditional LCMs, DLCMs are effective in applications with time series, overlapping items, and structural zeroes.
title Dependent Latent Class Models
topic Machine Learning
Statistics Theory
url https://arxiv.org/abs/2205.08677