A latent spatial factor approach for synthesizing opioid associated deaths and treatment admissions in Ohio counties
Staci Hepler, Erin McKnight, Andrea Bonny, and David Kline

TL;DR
This paper develops a Bayesian spatial factor model to synthesize opioid death and treatment data at the county level in Ohio, revealing spatial patterns and social covariates associated with the epidemic's burden.
Contribution
It introduces a novel generalized spatial factor model that jointly analyzes death and treatment counts, accounting for spatial dependence and providing a unified measure of opioid epidemic burden.
Findings
Higher latent burden in southern Ohio counties
Treatment rates contribute to the burden in the south
Death rates contribute to the burden in the southwest
Abstract
Background: Opioid misuse is a major public health issue in the United States and in particular Ohio. However, the burden of the epidemic is challenging to quantify as public health surveillance measures capture different aspects of the problem. Here we synthesize county-level death and treatment counts to compare the relative burden across counties and assess associations with social environmental covariates. Methods: We construct a generalized spatial factor model to jointly model death and treatment rates for each county. For each outcome, we specify a spatial rates parameterization for a Poisson regression model with spatially varying factor loadings. We use a conditional autoregressive model to account for spatial dependence within a Bayesian framework. Results: The estimated spatial factor was highest in the southern and southwestern counties of the state, representing a higher…
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