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Doubly Robust Inference in Causal Latent Factor Models

Alberto Abadie, Anish Agarwal, Raaz Dwivedi, Abhin Shah

arXiv 18 Feb 2024 · Econometrics · 1 citations (OpenAlex)

arXiv:2402.11652 · PDF · DOI · OpenAlex · Extracted main text

Abstract

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.

Citation extraction

40
references
86
in-text mentions
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distinct cited
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Most heavily cited references

The works this paper leans on most, across its whole bibliography — not restricted to papers in our corpus. Ranked by composite intensity, which combines how often a work is mentioned, how many sections mention it, and how much of that falls in the main text rather than the appendix.

ReferenceIntensityMentionsSectionsMain text
1Chernozhukov, V., Chetverikov, D., Demirer, M., Duflo, E., Hansen, C… (2018) Double/debiased machine learning for treatment and structural parameters0.64441100%
2Agarwal, A., Dahleh, M., Shah, D., and Shen, D (2023) Causal matrix completion self0.58531100%
3Athey, S., Bayati, M., Doudchenko, N., Imbens, G., and Khosravi, K (2021) Matrix completion methods for causal panel data models0.58531100%
4Dwivedi, R., Tian, K., Tomkins, S., Klasnja, P., Murphy, S., and Sha… (2022) Counterfactual inference for sequential experiments self0.58531100%
5Xiong, R. and Pelger, M (2023) Large dimensional latent factor modeling with missing observations and applications to causal inference0.58531100%
6Bai, J. and Ng, S (2021) Matrix completion, counterfactuals, and factor analysis of missing data0.52725144%
7Abadie, A. and Imbens, G. W (2006) Large sample properties of matching estimators for average treatment effects self0.51121100%
8Arkhangelsky, D., Athey, S., Hirshberg, D. A., Imbens, G. W., and Wa… (2021) Synthetic difference-in-differences0.51121100%
9Nguyen, L. T., Kim, J., and Shim, B (2019) Low-rank matrix completion: A contemporary survey0.51121100%
10Agarwal, A., Shah, D., and Shen, D (2023) Synthetic interventions self0.40511100%

Showing the top 10 of 40 scored citations.

Cited by, within the corpus

arXiv econ.EM papers that cite this one, ranked by how heavily they lean on it.

Citing paperIntensityMentionsSections
1Inferring Treatment Effects in Large Panels by Uncovering Latent Similarities1.000213
2Causal Models for Longitudinal and Panel Data: A Survey0.40511
3An Introduction to Double/Debiased Machine Learning0.40511
4Using Multiple Outcomes to Adjust Standard Errors for Spatial Correlation0.40511