Caliper Synthetic Matching: Generalized Radius Matching with Local Synthetic Controls

Fuente: arXiv
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Main Authors: Che, Jonathan, Meng, Xiang, Miratrix, Luke
Format: Preprint
Published: 2024
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author Che, Jonathan
Meng, Xiang
Miratrix, Luke
author_facet Che, Jonathan
Meng, Xiang
Miratrix, Luke
contents Matching promises transparent causal inferences for observational data, making it an intuitive approach for many applications. In practice, however, standard matching methods often perform poorly compared to modern approaches such as response-surface modeling and optimizing balancing weights. We propose Caliper Synthetic Matching (CSM) to address these challenges while preserving simple and transparent matches and match diagnostics. CSM extends Coarsened Exact Matching by incorporating general distance metrics, adaptive calipers, and locally constructed synthetic controls. We show that CSM can be viewed as a monotonic imbalance bounding matching method, so that it inherits the usual bounds on imbalance and bias enjoyed by MIB methods. We further provide a bound on a measure of joint covariate imbalance. Using a simulation study, we illustrate how CSM can even outperform modern matching methods in certain settings, and finally illustrate its use in an empirical example. Overall, we find CSM allows for many of the benefits of matching while avoiding some of the costs.
format Preprint
id arxiv_https___arxiv_org_abs_2411_05246
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Caliper Synthetic Matching: Generalized Radius Matching with Local Synthetic Controls
Che, Jonathan
Meng, Xiang
Miratrix, Luke
Methodology
Applications
Matching promises transparent causal inferences for observational data, making it an intuitive approach for many applications. In practice, however, standard matching methods often perform poorly compared to modern approaches such as response-surface modeling and optimizing balancing weights. We propose Caliper Synthetic Matching (CSM) to address these challenges while preserving simple and transparent matches and match diagnostics. CSM extends Coarsened Exact Matching by incorporating general distance metrics, adaptive calipers, and locally constructed synthetic controls. We show that CSM can be viewed as a monotonic imbalance bounding matching method, so that it inherits the usual bounds on imbalance and bias enjoyed by MIB methods. We further provide a bound on a measure of joint covariate imbalance. Using a simulation study, we illustrate how CSM can even outperform modern matching methods in certain settings, and finally illustrate its use in an empirical example. Overall, we find CSM allows for many of the benefits of matching while avoiding some of the costs.
title Caliper Synthetic Matching: Generalized Radius Matching with Local Synthetic Controls
topic Methodology
Applications
url https://arxiv.org/abs/2411.05246