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Causal Inference for Qualitative Outcomes

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  • Riccardo Di Francesco
  • Giovanni Mellace

Abstract

Causal inference methods such as instrumental variables, regression discontinuity, and difference-in-differences are widely used to identify and estimate treatment effects. However, when outcomes are qualitative, their application poses fundamental challenges. This paper highlights these challenges and proposes an alternative framework that focuses on well-defined and interpretable estimands. We show that conventional identification assumptions suffice for identifying the new estimands and outline simple, intuitive estimation strategies that remain fully compatible with conventional econometric methods. We provide an accompanying open-source R package, $\texttt{causalQual}$, which is publicly available on CRAN.

Suggested Citation

  • Riccardo Di Francesco & Giovanni Mellace, 2025. "Causal Inference for Qualitative Outcomes," Papers 2502.11691, arXiv.org, revised Jun 2025.
  • Handle: RePEc:arx:papers:2502.11691
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    References listed on IDEAS

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    4. Leonard Goff, 2020. "A Vector Monotonicity Assumption for Multiple Instruments," Papers 2009.00553, arXiv.org, revised Mar 2024.
    5. Alan Agresti & Maria Kateri, 2017. "Ordinal probability effect measures for group comparisons in multinomial cumulative link models," Biometrics, The International Biometric Society, vol. 73(1), pages 214-219, March.
    6. Sun, Liyang & Abraham, Sarah, 2021. "Estimating dynamic treatment effects in event studies with heterogeneous treatment effects," Journal of Econometrics, Elsevier, vol. 225(2), pages 175-199.
    7. Goodman-Bacon, Andrew, 2021. "Difference-in-differences with variation in treatment timing," Journal of Econometrics, Elsevier, vol. 225(2), pages 254-277.
    8. Goff, Leonard, 2024. "A vector monotonicity assumption for multiple instruments," Journal of Econometrics, Elsevier, vol. 241(1).
    9. Imbens,Guido W. & Rubin,Donald B., 2015. "Causal Inference for Statistics, Social, and Biomedical Sciences," Cambridge Books, Cambridge University Press, number 9780521885881, September.
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    Cited by:

    1. Sokolov, Boris, 2025. "Causal Estimands for Policy Evaluation and Beyond," SocArXiv 4vtpk_v1, Center for Open Science.

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