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Robustness, Heterogeneous Treatment Effects and Covariate Shifts

Pietro Emilio Spini

arXiv 16 Dec 2021 · Econometrics · 1 citations (OpenAlex)

arXiv:2112.09259 · PDF · DOI · OpenAlex · Extracted main text

Abstract

This paper studies the robustness of estimated policy effects to changes in the distribution of covariates. Robustness to covariate shifts is important, for example, when evaluating the external validity of quasi-experimental results, which are often used as a benchmark for evidence-based policy-making. I propose a novel scalar robustness metric. This metric measures the magnitude of the smallest covariate shift needed to invalidate a claim on the policy effect (for example, $ATE \geq 0$) supported by the quasi-experimental evidence. My metric links the heterogeneity of policy effects and robustness in a flexible, nonparametric way and does not require functional form assumptions. I cast the estimation of the robustness metric as a de-biased GMM problem. This approach guarantees a parametric convergence rate for the robustness metric while allowing for machine learning-based estimators of policy effect heterogeneity (for example, lasso, random forest, boosting, neural nets). I apply my procedure to the Oregon Health Insurance experiment. I study the robustness of policy effects estimates of health-care utilization and financial strain outcomes, relative to a shift in the distribution of context-specific covariates. Such covariates are likely to differ across US states, making quantification of robustness an important exercise for adoption of the insurance policy in states other than Oregon. I find that the effect on outpatient visits is the most robust among the metrics of health-care utilization considered.

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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
1V. Chernozhukov, J. C. Escanciano, H. Ichimura, W. K. Newey, and J.… (2020) Locally robust semiparametric estimation, 20201.000163100%
2Y.-C. Hsu, T.-C. Lai, and R. P. Lieli (2020) Counterfactual treatment effects: Estimation and inference1.00054100%
3I. Komunjer and G. Ragusa (2016) Existence and characterization of conditional density projections1.00053100%
4P. Ho (2023) Global robust bayesian analysis in large models0.92844100%
5T. Christensen and B. Connault (2023) Counterfactual sensitivity and robustness0.92843100%
6A. Finkelstein, S. Taubman, B. Wright, M. Bernstein, J. Gruber, J. P… (2012) The oregon health insurance experiment: evidence from the first year0.874152100%
7I. Csiszár (1984) Sanov property, generalized i-projection and a conditional limit theorem0.87452100%
8V. Chernozhukov, D. Chetverikov, M. Demirer, E. Duflo, C. Hansen, W.… (2018) Double/debiased machine learning for treatment and structural parameters0.81142100%
9A. Finkelstein (2013) Oregon health insurance experiment public use data, 20130.81142100%
10E. H. Kennedy, S. Balakrishnan, M. G’Sell, et al (2020) Sharp instruments for classifying compliers and generalizing causal effects0.81142100%

Showing the top 10 of 50 scored citations.

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3Evaluating Policy Effects under Network Interference without Network Information: A Transfer Learning Approach0.64422
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5Robustness to Missing Data: Breakdown Point Analysis0.51121
6Unconditional Effects of General Policy Interventions0.40511
7Inference for the Marginal Value of Public Funds0.40511
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