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Sensitivity Analysis in Unconditional Quantile Effects

2023/03/24 by Julian Martinez-Iriarte, Martinez-Iriarte, Julian
Decision Sciences · Economics, Econometrics and Finance · #Econometrics (econ.EM) #Economic Policies and Impacts #Efficiency Analysis Using DEA #FOS: Economics and business #Monetary Policy and Economic Impact

paper · pdf · doi:10.48550/arxiv.2303.14298

openalex publication_date 2023/03/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper proposes a framework to analyze the effects of counterfactual policies on the unconditional quantiles of an outcome variable. For a given counterfactual policy, we obtain identified sets for the effect of both marginal and global changes in the proportion of treated individuals. To conduct a sensitivity analysis, we introduce the quantile breakdown frontier, a curve that (i) indicates whether a sensitivity analysis is possible or not, and (ii) when a sensitivity analysis is possible, quantifies the amount of selection bias consistent with a given conclusion of interest across different quantiles. To illustrate our method, we perform a sensitivity analysis on the effect of unionizing low income workers on the quantiles of the distribution of (log) wages.

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