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Estimating Treatment Effects using Multiple Surrogates: The Role of the Surrogate Score and the Surrogate Index

Susan Athey, Raj Chetty, Guido Imbens, Hyunseung Kang

arXiv 30 Mar 2016 · Statistics — Methodology · 47 citations (OpenAlex)

arXiv:1603.09326 · PDF · DOI · OpenAlex · Extracted main text

Abstract

Estimating the long-term effects of treatments is of interest in many fields. A common challenge in estimating such treatment effects is that long-term outcomes are unobserved in the time frame needed to make policy decisions. One approach to overcome this missing data problem is to analyze treatments effects on an intermediate outcome, often called a statistical surrogate, if it satisfies the condition that treatment and outcome are independent conditional on the statistical surrogate. The validity of the surrogacy condition is often controversial. Here we exploit that fact that in modern datasets, researchers often observe a large number, possibly hundreds or thousands, of intermediate outcomes, thought to lie on or close to the causal chain between the treatment and the long-term outcome of interest. Even if none of the individual proxies satisfies the statistical surrogacy criterion by itself, using multiple proxies can be useful in causal inference. We focus primarily on a setting with two samples, an experimental sample containing data about the treatment indicator and the surrogates and an observational sample containing information about the surrogates and the primary outcome. We state assumptions under which the average treatment effect be identified and estimated with a high-dimensional vector of proxies that collectively satisfy the surrogacy assumption, and derive the bias from violations of the surrogacy assumption, and show that even if the primary outcome is also observed in the experimental sample, there is still information to be gained from using surrogates.

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70
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127
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
1Jiafeng Chen \ David M Ritzwoller (2023) Semiparametric estimation of long-term treatment effects1.00063100%
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3Tyler VanderWeele (2015) Explanation in causal inference: methods for mediation and interaction. Oxford University Press1.00054100%
4Reuben M Baron \ David A Kenny (1986) The moderator–mediator variable distinction in social psychological research: Conceptual, strategic, and statistical considerati…0.92843100%
5Ross L Prentice (1989) Surrogate endpoints in clinical trials: definition and operational criteria0.87452100%
6Donald B Rubin (1976) Inference and missing data0.87452100%
7Constantine E Frangakis \ Donald B Rubin (2002) Principal stratification in causal inference0.84333100%
8Whitney K Newey (1990) Semiparametric efficiency bounds0.81142100%
9Joshua D Angrist, Guido W Imbens \ Donald B Rubin (1996) Identification of causal effects using instrumental variables0.73732100%
10Colin B Begg \ Denis HY Leung (2000) On the use of surrogate end points in randomized trials0.73732100%

Showing the top 10 of 70 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
1Semiparametric Estimation of Long-Term Treatment Effects$^*$1.000165
2Kernel methods for long term dose response curves0.84343
3Identification of Long-Term Treatment Effects via Temporal Links, Observational, and Experimental Data0.73732
4Covariate Balancing Sensitivity Analysis for Extrapolating Randomized Trials across Locations0.40511
5Automatic Debiased Machine Learning for Dynamic Treatment Effects and General Nested Functionals0.40511
6Testing Mechanisms0.40511
7Simultaneous Inference for Local Structural Parameters with Random Forests$^*$0.40511
8Balancing Weights for Causal Mediation Analysis0.40511
92603.041090.40511