Semiparametric Estimation of Treatment Effects in Observational Studies with Heterogeneous Partial Interference

Fuente: arXiv
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Autores principales: Qu, Zhaonan, Xiong, Ruoxuan, Liu, Jizhou, Imbens, Guido
Formato: Preprint
Publicado: 2021
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author Qu, Zhaonan
Xiong, Ruoxuan
Liu, Jizhou
Imbens, Guido
author_facet Qu, Zhaonan
Xiong, Ruoxuan
Liu, Jizhou
Imbens, Guido
contents In many observational studies in social science and medicine, subjects or units are connected, and one unit's treatment and attributes may affect another's treatment and outcome, violating the stable unit treatment value assumption (SUTVA) and resulting in interference. To enable feasible estimation and inference, many previous works assume exchangeability of interfering units (neighbors). However, in many applications with distinctive units, interference is heterogeneous and needs to be modeled explicitly. In this paper, we focus on the partial interference setting, and only restrict units to be exchangeable conditional on observable characteristics. Under this framework, we propose generalized augmented inverse propensity weighted (AIPW) estimators for general causal estimands that include heterogeneous direct and spillover effects. We show that they are semiparametric efficient and robust to heterogeneous interference as well as model misspecifications. We apply our methods to the Add Health dataset to study the direct effects of alcohol consumption on academic performance and the spillover effects of parental incarceration on adolescent well-being.
format Preprint
id arxiv_https___arxiv_org_abs_2107_12420
institution arXiv
publishDate 2021
record_format arxiv
spellingShingle Semiparametric Estimation of Treatment Effects in Observational Studies with Heterogeneous Partial Interference
Qu, Zhaonan
Xiong, Ruoxuan
Liu, Jizhou
Imbens, Guido
Methodology
Econometrics
Statistics Theory
In many observational studies in social science and medicine, subjects or units are connected, and one unit's treatment and attributes may affect another's treatment and outcome, violating the stable unit treatment value assumption (SUTVA) and resulting in interference. To enable feasible estimation and inference, many previous works assume exchangeability of interfering units (neighbors). However, in many applications with distinctive units, interference is heterogeneous and needs to be modeled explicitly. In this paper, we focus on the partial interference setting, and only restrict units to be exchangeable conditional on observable characteristics. Under this framework, we propose generalized augmented inverse propensity weighted (AIPW) estimators for general causal estimands that include heterogeneous direct and spillover effects. We show that they are semiparametric efficient and robust to heterogeneous interference as well as model misspecifications. We apply our methods to the Add Health dataset to study the direct effects of alcohol consumption on academic performance and the spillover effects of parental incarceration on adolescent well-being.
title Semiparametric Estimation of Treatment Effects in Observational Studies with Heterogeneous Partial Interference
topic Methodology
Econometrics
Statistics Theory
url https://arxiv.org/abs/2107.12420