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Auteurs principaux: Song, Joon Jin, Rahman, Mohammad Arshad, Chin, Yoo-Mi, Stamey, James
Format: Preprint
Publié: 2026
Sujets:
Accès en ligne:https://arxiv.org/abs/2605.15428
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author Song, Joon Jin
Rahman, Mohammad Arshad
Chin, Yoo-Mi
Stamey, James
author_facet Song, Joon Jin
Rahman, Mohammad Arshad
Chin, Yoo-Mi
Stamey, James
contents Quantile regression extends regression analysis beyond the conditional mean, providing a richer characterization of covariate effects across the outcome distribution. For sensitive binary outcomes, however, misclassification due to underreporting can substantially bias inference. We propose a Bayesian quantile regression framework for misclassified binary outcomes that introduces a latent true response and explicitly models false negative and false positive reporting errors. Estimation is performed through a novel Markov chain Monte Carlo (MCMC) algorithm. Simulation studies under varying prior specifications and misclassification rates demonstrate improved performance over models that ignore misclassification. We apply the method to self-reported spousal violence data, examining associations with employment status and household wealth while adjusting for socio-demographic factors. The results indicate that underreporting exceeds overreporting across quantiles and that accounting for misclassification can change substantive conclusions.
format Preprint
id arxiv_https___arxiv_org_abs_2605_15428
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Modeling Misclassification in Spousal Violence Reporting: Evidence from Bayesian Quantile Regression
Song, Joon Jin
Rahman, Mohammad Arshad
Chin, Yoo-Mi
Stamey, James
Methodology
Quantile regression extends regression analysis beyond the conditional mean, providing a richer characterization of covariate effects across the outcome distribution. For sensitive binary outcomes, however, misclassification due to underreporting can substantially bias inference. We propose a Bayesian quantile regression framework for misclassified binary outcomes that introduces a latent true response and explicitly models false negative and false positive reporting errors. Estimation is performed through a novel Markov chain Monte Carlo (MCMC) algorithm. Simulation studies under varying prior specifications and misclassification rates demonstrate improved performance over models that ignore misclassification. We apply the method to self-reported spousal violence data, examining associations with employment status and household wealth while adjusting for socio-demographic factors. The results indicate that underreporting exceeds overreporting across quantiles and that accounting for misclassification can change substantive conclusions.
title Modeling Misclassification in Spousal Violence Reporting: Evidence from Bayesian Quantile Regression
topic Methodology
url https://arxiv.org/abs/2605.15428