Treatment Effect Heterogeneity and Importance Measures for Multivariate Continuous Treatments

Fuente: arXiv
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Autores principales: Shin, Heejun, Linero, Antonio, Audirac, Michelle, Irene, Kezia, Braun, Danielle, Antonelli, Joseph
Formato: Preprint
Publicado: 2024
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author Shin, Heejun
Linero, Antonio
Audirac, Michelle
Irene, Kezia
Braun, Danielle
Antonelli, Joseph
author_facet Shin, Heejun
Linero, Antonio
Audirac, Michelle
Irene, Kezia
Braun, Danielle
Antonelli, Joseph
contents Estimating the joint effect of a multivariate, continuous exposure is crucial, particularly in environmental health where interest lies in simultaneously evaluating the impact of multiple environmental pollutants on health. We develop novel methodology that addresses two key issues for estimation of treatment effects of multivariate, continuous exposures. We use nonparametric Bayesian methodology that is flexible to ensure our approach can capture a wide range of data generating processes. Additionally, we allow the effect of the exposures to be heterogeneous with respect to covariates. Treatment effect heterogeneity has not been well explored in the causal inference literature for multivariate, continuous exposures, and therefore we introduce novel estimands that summarize the nature and extent of the heterogeneity, and propose estimation procedures for new estimands related to treatment effect heterogeneity. We provide theoretical support for the proposed models in the form of posterior contraction rates and show that it works well in simulated examples both with and without heterogeneity. Our approach is motivated by a study of the health effects of simultaneous exposure to the components of PM$_{2.5}$, where we find that the negative health effects of exposure to environmental pollutants are exacerbated by low socioeconomic status, race and age.
format Preprint
id arxiv_https___arxiv_org_abs_2404_09126
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Treatment Effect Heterogeneity and Importance Measures for Multivariate Continuous Treatments
Shin, Heejun
Linero, Antonio
Audirac, Michelle
Irene, Kezia
Braun, Danielle
Antonelli, Joseph
Methodology
Applications
Estimating the joint effect of a multivariate, continuous exposure is crucial, particularly in environmental health where interest lies in simultaneously evaluating the impact of multiple environmental pollutants on health. We develop novel methodology that addresses two key issues for estimation of treatment effects of multivariate, continuous exposures. We use nonparametric Bayesian methodology that is flexible to ensure our approach can capture a wide range of data generating processes. Additionally, we allow the effect of the exposures to be heterogeneous with respect to covariates. Treatment effect heterogeneity has not been well explored in the causal inference literature for multivariate, continuous exposures, and therefore we introduce novel estimands that summarize the nature and extent of the heterogeneity, and propose estimation procedures for new estimands related to treatment effect heterogeneity. We provide theoretical support for the proposed models in the form of posterior contraction rates and show that it works well in simulated examples both with and without heterogeneity. Our approach is motivated by a study of the health effects of simultaneous exposure to the components of PM$_{2.5}$, where we find that the negative health effects of exposure to environmental pollutants are exacerbated by low socioeconomic status, race and age.
title Treatment Effect Heterogeneity and Importance Measures for Multivariate Continuous Treatments
topic Methodology
Applications
url https://arxiv.org/abs/2404.09126