Calibrating doubly-robust estimators with unbalanced treatment assignment ...

Machine learning methods, particularly the double machine learning (DML) estimator (Chernozhukov et al., 2018), are increasingly popular for the estimation of the average treatment effect (ATE). However, datasets often exhibit unbalanced treatment assignments where only a few observations are treate...

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Bibliographic Details
Main Author: Ballinari, Daniele
Format: Article in Journal/Newspaper
Language:unknown
Published: arXiv 2024
Subjects:
DML
Online Access:https://dx.doi.org/10.48550/arxiv.2403.01585
https://arxiv.org/abs/2403.01585
Description
Summary:Machine learning methods, particularly the double machine learning (DML) estimator (Chernozhukov et al., 2018), are increasingly popular for the estimation of the average treatment effect (ATE). However, datasets often exhibit unbalanced treatment assignments where only a few observations are treated, leading to unstable propensity score estimations. We propose a simple extension of the DML estimator which undersamples data for propensity score modeling and calibrates scores to match the original distribution. The paper provides theoretical results showing that the estimator retains the DML estimator's asymptotic properties. A simulation study illustrates the finite sample performance of the estimator. ...