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Sensitivity Analysis in Unconditional Quantile Effects

Julian Martinez-Iriarte

arXiv 24 Mar 2023 · Econometrics · 4 citations (OpenAlex)

arXiv:2303.14298 · PDF · DOI · OpenAlex · Extracted main text

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.

Citation extraction

27
references
76
in-text mentions
27
distinct cited
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8,731
main-text words

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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
1Firpo, Sergio and Fortin, Nicole M. and Lemieux, Thomas (2009) Unconditional Quantile Regressions0.9619489%
2Rothe, Christoph (2012) Partial Distributional Policy Effects0.87462100%
3Kline, Patrick and Santos, Andres (2013) Sensitivity to Missing Data Assumptions: Theory and an Evaluation of the U.S. Wage Structure0.8434375%
4Carneiro, Pedro and Heckman, James J. and Vytlacil, Edward (2010) Evaluating Marginal Policy Changes and the Average Effect of Treatment for Individuals at the Margin0.73732100%
5Carneiro, Pedro and Heckman, James J. and Vytlacil, Edward (2011) Estimating Marginal Returns to Education0.73732100%
6Heckman, James J. and Vytlacil, Edward (2005) Structural Equations, Treatment Effects, and Econometric Policy Evaluation0.73732100%
7Heckman, James J. and Vytlacil, Edward (2001) Policy Relevant Treatment Effects0.73732100%
8Masten, Matthew A. and Poirier, Alexandre (2020) Inference on Breakdown Frontiers0.6444250%
9A. W. van der Vaart and Wellner, Jon A (1996) Weak Convergence and Empirical Processes0.6444250%
10Farber, Henry S. and Herbst, Daniel and Kuziemko, Ilyana and Naidu,… (2020) Unions and Inequality Over the Twentieth Century: New Evidence from Survey Data0.64422100%

Showing the top 10 of 27 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
1Identification and Estimation of Unconditional Policy Effects of an Endogenous Binary Treatment: An Unconditional MTE Approach0.40511
2Unconditional Effects of General Policy Interventions0.40511
3Unconditional Quantile Partial Effects via Conditional Quantile Regression0.40511