IDEAS home Printed from https://ideas.repec.org/p/arx/papers/2507.12690.html
   My bibliography  Save this paper

NA-DiD: Extending Difference-in-Differences with Capabilities

Author

Listed:
  • Stanis{l}aw M. S. Halkiewicz

Abstract

This paper introduces the Non-Additive Difference-in-Differences (NA-DiD) framework, which extends classical DiD by incorporating non-additive measures the Choquet integral for effect aggregation. It serves as a novel econometric tool for impact evaluation, particularly in settings with non-additive treatment effects. First, we introduce the integral representation of the classial DiD model, and then extend it to non-additive measures, therefore deriving the formulae for NA-DiD estimation. Then, we give its theoretical properties. Applying NA-DiD to a simulated hospital hygiene intervention, we find that classical DiD can overestimate treatment effects, f.e. failing to account for compliance erosion. In contrast, NA-DiD provides a more accurate estimate by incorporating non-linear aggregation. The Julia implementation of the techniques used and introduced in this article is provided in the appendices.

Suggested Citation

  • Stanis{l}aw M. S. Halkiewicz, 2025. "NA-DiD: Extending Difference-in-Differences with Capabilities," Papers 2507.12690, arXiv.org.
    • Handle: RePEc:arx:papers:2507.12690
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/2507.12690
    File Function: Latest version
    Download Restriction: no
    ---><---

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:arx:papers:2507.12690. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: arXiv administrators (email available below). General contact details of provider: http://arxiv.org/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.