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Instrumental Variables with Time-Varying Exposure: Dynamic Effects of Revascularization on Quality of Life

2025/01/03 by Joshua D. Angrist, Angrist, Joshua D., Bruno Ferman +10 · 1 voice
Economics, Econometrics and Finance · #Health Systems, Economic Evaluations, Quality of Life #econ.EM

paper · pdf · doi:10.48550/arxiv.2501.01623

openalex publication_date 2025/01/03 · openalex created_date 2025/01/07 · openalex updated_date 2026/07/28

Abstract

This paper develops instrumental variables (IV) estimators for dynamic causal effects in randomized trials with imperfect compliance. These methods are applied to a randomized trial that assigned patients with ischemic heart disease to either an invasive treatment arm centered on revascularization or a control group meant to receive non-invasive medical therapy. As is common in such ``strategy trials,'' many participants assigned to treatment remained untreated while many assigned to control crossed over into treatment. Protocol non-compliance causes ITT estimates to diverge from the effect of treatment received, while conventional per-protocol analyses that condition on treatment received are compromised by selection bias. Extending the static potential-outcomes IV framework, the methods here identify average causal effects of treatment for dynamic compliers, the set of trial participants who comply with trial protocol at different follow-up horizons. IV estimates of revascularization effects on compliers' quality of life are markedly larger and more sustained than previously reported ITT and per-protocol estimates. We also show how to estimate average characteristics and marginal potential outcome means for dynamic compliers. These results are used to explain confounding in as-treated per-protocol estimates.

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