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Direct and indirect treatment effects: causal chains and mediation analysis with instrumental variables

Author

Listed:
  • Frölich, Markus

    (University of Mannheim)

  • Huber, Martin

    (University of St. Gallen)

Abstract

This paper discusses the nonparametric identification of causal direct and indirect effects of a binary treatment based on instrumental variables. We identify the indirect effect, which operates through a mediator (i.e. intermediate variable) that is situated on the causal path between the treatment and the outcome, as well as the unmediated direct effect of the treatment using distinct instruments for the endogenous treatment and the endogenous mediator. We examine different settings to obtain nonparametric identi-fication of (natural) direct and indirect as well as controlled direct effects for continuous and discrete mediators and continuous and discrete instruments. We illustrate our approach in two applications: to disentangle the effects (i) of education on health, which may be mediated by income, and (ii) of the Job Corps training program, which may affect earnings indirectly via working longer hours and directly via higher wages per hour.

Suggested Citation

  • Frölich, Markus & Huber, Martin, 2015. "Direct and indirect treatment effects: causal chains and mediation analysis with instrumental variables," Working Paper Series 2015:12, IFAU - Institute for Evaluation of Labour Market and Education Policy.
    • Handle: RePEc:hhs:ifauwp:2015_012
    DOI: 10.1111/rssb.12232
    Note: Journal of the Royal Statistical Society Series B, November 2017, vol. 79, no. 5, pp. 1645-1666. https://doi.org/10.1111/rssb.12232
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    More about this item

    Keywords

    Direct treatment effects; mediation analysis;

    JEL classification:

    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General

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