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On Using Linear Quantile Regressions For Causal Inference

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  • Kato, Ryutah
  • Sasaki, Yuya

Abstract

We show that the slope parameter of the linear quantile regression measures a weighted average of the local slopes of the conditional quantile function. Extending this result, we also show that the slope parameter measures a weighted average of the partial effects for a general structural function. Our results support the use of linear quantile regressions for causal inference in the presence of nonlinearity and multivariate unobserved heterogeneity. The same conclusion applies to linear regressions.

Suggested Citation

  • Kato, Ryutah & Sasaki, Yuya, 2017. "On Using Linear Quantile Regressions For Causal Inference," Econometric Theory, Cambridge University Press, vol. 33(3), pages 664-690, June.
    • Handle: RePEc:cup:etheor:v:33:y:2017:i:03:p:664-690_00
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    Cited by:

    1. Tymon S{l}oczy'nski, 2018. "Interpreting OLS Estimands When Treatment Effects Are Heterogeneous: Smaller Groups Get Larger Weights," Papers 1810.01576, arXiv.org, revised May 2020.
    2. Tymon Sloczynski, 2018. "A General Weighted Average Representation of the Ordinary and Two-Stage Least Squares Estimands," Working Papers 125, Brandeis University, Department of Economics and International Business School.
    3. Arie Beresteanu, 2016. "Quantile Regression with Interval Data," Working Paper 5991, Department of Economics, University of Pittsburgh.
    4. Chiang, Harold D. & Sasaki, Yuya, 2019. "Causal inference by quantile regression kink designs," Journal of Econometrics, Elsevier, vol. 210(2), pages 405-433.

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