Continuous Treatment Effects with Surrogate Outcomes

Fuente: arXiv
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Autori principali: Zeng, Zhenghao, Arbour, David, Feller, Avi, Addanki, Raghavendra, Rossi, Ryan, Sinha, Ritwik, Kennedy, Edward H.
Natura: Preprint
Pubblicazione: 2024
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author Zeng, Zhenghao
Arbour, David
Feller, Avi
Addanki, Raghavendra
Rossi, Ryan
Sinha, Ritwik
Kennedy, Edward H.
author_facet Zeng, Zhenghao
Arbour, David
Feller, Avi
Addanki, Raghavendra
Rossi, Ryan
Sinha, Ritwik
Kennedy, Edward H.
contents In many real-world causal inference applications, the primary outcomes (labels) are often partially missing, especially if they are expensive or difficult to collect. If the missingness depends on covariates (i.e., missingness is not completely at random), analyses based on fully observed samples alone may be biased. Incorporating surrogates, which are fully observed post-treatment variables related to the primary outcome, can improve estimation in this case. In this paper, we study the role of surrogates in estimating continuous treatment effects and propose a doubly robust method to efficiently incorporate surrogates in the analysis, which uses both labeled and unlabeled data and does not suffer from the above selection bias problem. Importantly, we establish the asymptotic normality of the proposed estimator and show possible improvements on the variance compared with methods that solely use labeled data. Extensive simulations show our methods enjoy appealing empirical performance.
format Preprint
id arxiv_https___arxiv_org_abs_2402_00168
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Continuous Treatment Effects with Surrogate Outcomes
Zeng, Zhenghao
Arbour, David
Feller, Avi
Addanki, Raghavendra
Rossi, Ryan
Sinha, Ritwik
Kennedy, Edward H.
Machine Learning
Methodology
In many real-world causal inference applications, the primary outcomes (labels) are often partially missing, especially if they are expensive or difficult to collect. If the missingness depends on covariates (i.e., missingness is not completely at random), analyses based on fully observed samples alone may be biased. Incorporating surrogates, which are fully observed post-treatment variables related to the primary outcome, can improve estimation in this case. In this paper, we study the role of surrogates in estimating continuous treatment effects and propose a doubly robust method to efficiently incorporate surrogates in the analysis, which uses both labeled and unlabeled data and does not suffer from the above selection bias problem. Importantly, we establish the asymptotic normality of the proposed estimator and show possible improvements on the variance compared with methods that solely use labeled data. Extensive simulations show our methods enjoy appealing empirical performance.
title Continuous Treatment Effects with Surrogate Outcomes
topic Machine Learning
Methodology
url https://arxiv.org/abs/2402.00168