2024
DOI: 10.3390/math12101556
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Extreme Treatment Effect: Extrapolating Dose-Response Function into Extreme Treatment Domain

Juraj Bodik

Abstract: The potential outcomes framework serves as a fundamental tool for quantifying causal effects. The average dose–response function μ(t) (also called the effect curve) is typically of interest when dealing with a continuous treatment variable (exposure). The focus of this work is to determine the impact of an extreme level of treatment, potentially beyond the range of observed values—that is, estimating μ(t) for very large t. Our approach is grounded in the field of statistics known as extreme value theory. We ou… Show more

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