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Marginal Treatment Effects with a Misclassified Treatment

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  • Santiago Acerenza
  • Kyunghoon Ban
  • D'esir'e K'edagni

Abstract

This paper studies identification of the marginal treatment effect (MTE) when a binary treatment variable is misclassified. We show under standard assumptions that the MTE is identified as the derivative of the conditional expectation of the observed outcome given the true propensity score, which is partially identified. We characterize the identified set for this propensity score, and then for the MTE. We show under some mild regularity conditions that the sign of the MTE is locally identified. We use our MTE bounds to derive bounds on other commonly used parameters in the literature. We show that our bounds are tighter than the existing bounds for the local average treatment effect. We illustrate the practical relevance of our derived bounds through some numerical and empirical results.

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  • Santiago Acerenza & Kyunghoon Ban & D'esir'e K'edagni, 2021. "Marginal Treatment Effects with a Misclassified Treatment," Papers 2105.00358, arXiv.org, revised Apr 2023.
    • Handle: RePEc:arx:papers:2105.00358
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    Cited by:

    1. Santiago Acerenza & Vitor Possebom & Pedro H. C. Sant'Anna, 2023. "Was Javert right to be suspicious? Unpacking treatment effect heterogeneity of alternative sentences on time-to-recidivism in Brazil," Papers 2311.13969, arXiv.org, revised Jan 2024.
    2. Santiago Acerenza, 2021. "Partial Identification of Marginal Treatment Effects with discrete instruments and misreported treatment," Papers 2110.06285, arXiv.org, revised Mar 2023.
    3. Vitor Possebom, 2021. "Crime and Mismeasured Punishment: Marginal Treatment Effect with Misclassification," Papers 2106.00536, arXiv.org, revised Jul 2023.
    4. Santiago Acerenza & Kyunghoon Ban & D'esir'e K'edagni, 2021. "Marginal Treatment Effects with a Misclassified Treatment," Papers 2105.00358, arXiv.org, revised Apr 2023.
    5. Juli'an Mart'inez-Iriarte & Pietro Emilio Spini, 2022. "MTE with Misspecification," Papers 2204.10445, arXiv.org.

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