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A New Framework for Estimation of Unconditional Quantile Treatment Effects: The Residualized Quantile Regression (RQR) Model

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  • Borgen, Nicolai T.
  • Haupt, Andreas
  • Wiborg, Øyvind N.

Abstract

The identification of unconditional quantile treatment effects (QTE) has become increasingly popular within social sciences. However, current methods to identify unconditional QTEs of continuous treatment variables are incomplete. Contrary to popular belief, the unconditional quantile regression model introduced by Firpo, Fortin, and Lemieux (2009) does not identify QTE, while the propensity score framework of Firpo (2007) allows for only a binary treatment variable, and the generalized quantile regression model of Powell (2020) is unfeasible with high-dimensional fixed effects. This paper introduces a two-step approach to estimate unconditional QTEs where the treatment variable is first regressed on the control variables followed by a quantile regression of the outcome on the residualized treatment variable. Unlike much of the literature on quantile regression, this two-step residualized quantile regression framework is easy to understand, computationally fast, and can include high-dimensional fixed effects.

Suggested Citation

  • Borgen, Nicolai T. & Haupt, Andreas & Wiborg, Øyvind N., 2021. "A New Framework for Estimation of Unconditional Quantile Treatment Effects: The Residualized Quantile Regression (RQR) Model," SocArXiv 42gcb, Center for Open Science.
    • Handle: RePEc:osf:socarx:42gcb
    DOI: 10.31219/osf.io/42gcb
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    1. Borgen, Nicolai T. & Haupt, Andreas & Wiborg, Øyvind N., 2021. "Flexible and fast estimation of quantile treatment effects: The rqr and rqrplot commands," SocArXiv 4vquh, Center for Open Science.
    2. Hannah Klauber & Felix Holub & Nicolas Koch & Nico Pestel & Nolan Ritter & Alexander Rohlf, 2024. "Killing Prescriptions Softly: Low Emission Zones and Child Health from Birth to School," American Economic Journal: Economic Policy, American Economic Association, vol. 16(2), pages 220-248, May.
    3. Christina M. Andersen & Jørgen Brandt & Jesper H. Christensen & Lise M. Frohn & Camilla Geels & Timo Hener & Marianne Simonsen & Lars Skipper, 2024. "Air Pollution and Cognition in Children: Evidence from National Tests in Denmark," CESifo Working Paper Series 11434, CESifo.
    4. Navjot Sangwan & Luca Tasciotti, 2023. "Losing the Plot: The Impact of Urban Agriculture on Household Food Expenditure and Dietary Diversity in Sub-Saharan African Countries," Agriculture, MDPI, vol. 13(2), pages 1-20, January.

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