Paper ID: 2402.11652

Doubly Robust Inference in Causal Latent Factor Models

Alberto Abadie, Anish Agarwal, Raaz Dwivedi, Abhin Shah

This article introduces a new estimator of average treatment effects under unobserved confounding in modern data-rich environments featuring large numbers of units and outcomes. The proposed estimator is doubly robust, combining outcome imputation, inverse probability weighting, and a novel cross-fitting procedure for matrix completion. We derive finite-sample and asymptotic guarantees, and show that the error of the new estimator converges to a mean-zero Gaussian distribution at a parametric rate. Simulation results demonstrate the relevance of the formal properties of the estimators analyzed in this article.

Submitted: Feb 18, 2024