IDEAS home Printed from https://ideas.repec.org/p/arx/papers/2409.12353.html
   My bibliography  Save this paper

A Way to Synthetic Triple Difference

Author

Listed:
  • Castiel Chen Zhuang

Abstract

This paper discusses a practical approach that combines synthetic control with triple difference to address violations of the parallel trends assumption. By transforming triple difference into a DID structure, we can apply synthetic control to a triple-difference framework, enabling more robust estimates when parallel trends are violated across multiple dimensions. The proposed procedure is applied to a real-world dataset to illustrate when and how we should apply this practice, while cautions are presented afterwards. This method contributes to improving causal inference in policy evaluations and offers a valuable tool for researchers dealing with heterogeneous treatment effects across subgroups.

Suggested Citation

  • Castiel Chen Zhuang, 2024. "A Way to Synthetic Triple Difference," Papers 2409.12353, arXiv.org, revised Sep 2024.
    • Handle: RePEc:arx:papers:2409.12353
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/2409.12353
    File Function: Latest version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Hainmueller, Jens, 2012. "Entropy Balancing for Causal Effects: A Multivariate Reweighting Method to Produce Balanced Samples in Observational Studies," Political Analysis, Cambridge University Press, vol. 20(1), pages 25-46, January.
    2. Joshua D. Angrist & Jörn-Steffen Pischke, 2009. "Mostly Harmless Econometrics: An Empiricist's Companion," Economics Books, Princeton University Press, edition 1, number 8769.
    3. Marianne Bertrand & Esther Duflo & Sendhil Mullainathan, 2004. "How Much Should We Trust Differences-In-Differences Estimates?," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 119(1), pages 249-275.
    4. Abadie, Alberto & Diamond, Alexis & Hainmueller, Jens, 2010. "Synthetic Control Methods for Comparative Case Studies: Estimating the Effect of California’s Tobacco Control Program," Journal of the American Statistical Association, American Statistical Association, vol. 105(490), pages 493-505.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Nicolaj N. Mühlbach, 2020. "Tree-based Synthetic Control Methods: Consequences of moving the US Embassy," CREATES Research Papers 2020-04, Department of Economics and Business Economics, Aarhus University.
    2. Nishitateno, Shuhei & Burke, Paul J., 2021. "Willingness to pay for clean air: Evidence from diesel vehicle registration restrictions in Japan," Regional Science and Urban Economics, Elsevier, vol. 88(C).
    3. Dennis Shen & Peng Ding & Jasjeet Sekhon & Bin Yu, 2022. "Same Root Different Leaves: Time Series and Cross-Sectional Methods in Panel Data," Papers 2207.14481, arXiv.org, revised Oct 2022.
    4. Jablonski, Ryan S. & Oliver, Steven & Hastings, Justin V., 2017. "The Tortuga disease: the perverse effects of illicit foreign capital," LSE Research Online Documents on Economics 67105, London School of Economics and Political Science, LSE Library.
    5. Peter Backus & Thien Nguyen, 2021. "The Effect of the Sex Buyer Law on the Market for Sex, Sexual Health and Sexual Violence," Economics Discussion Paper Series 2106, Economics, The University of Manchester.
    6. Sviták, Jan & Tichem, Jan & Haasbeek, Stefan, 2021. "Price effects of search advertising restrictions," International Journal of Industrial Organization, Elsevier, vol. 77(C).
    7. Mergele, Lukas & Weber, Michael, 2020. "Public employment services under decentralization: Evidence from a natural experiment," Journal of Public Economics, Elsevier, vol. 182(C).
    8. Jeff L. McMullin & Brian P. Miller & Brady J. Twedt, 2019. "Increased mandated disclosure frequency and price formation: evidence from the 8-K expansion regulation," Review of Accounting Studies, Springer, vol. 24(1), pages 1-33, March.
    9. Ahlfeldt, Gabriel M. & Nitsch, Volker & Wendland, Nicolai, 2019. "Ease vs. noise: Long-run changes in the value of transport (dis)amenities," Journal of Environmental Economics and Management, Elsevier, vol. 98(C).
    10. Christian Kümpel, 2019. "Do financial incentives influence the hospitalization rate of nursing home residents? Evidence from Germany," Health Economics, John Wiley & Sons, Ltd., vol. 28(11), pages 1235-1247, November.
    11. Hernæs, Øystein, 2018. "Activation against absenteeism – Evidence from a sickness insurance reform in Norway," Journal of Health Economics, Elsevier, vol. 62(C), pages 60-68.
    12. Reimer, Matthew N. & Haynie, Alan C., 2018. "Mechanisms matter for evaluating the economic impacts of marine reserves," Journal of Environmental Economics and Management, Elsevier, vol. 88(C), pages 427-446.
    13. Bibek Adhikari & James Alm, 2016. "Evaluating the Economic Effects of Flat Tax Reforms Using Synthetic Control Methods," Southern Economic Journal, John Wiley & Sons, vol. 83(2), pages 437-463, October.
    14. Roth, Jonathan & Sant’Anna, Pedro H.C. & Bilinski, Alyssa & Poe, John, 2023. "What’s trending in difference-in-differences? A synthesis of the recent econometrics literature," Journal of Econometrics, Elsevier, vol. 235(2), pages 2218-2244.
    15. Ghanbariamin, Roksana & Chung, Bobby W., 2020. "The effect of the National Kidney Registry on the kidney-exchange market," Journal of Health Economics, Elsevier, vol. 70(C).
    16. Samantha Marie Schenck, 2021. "Assessing the Employment Effects of California’s Paid Family Leave Program," Eastern Economic Journal, Palgrave Macmillan;Eastern Economic Association, vol. 47(3), pages 406-429, June.
    17. Huber, Martin, 2019. "An introduction to flexible methods for policy evaluation," FSES Working Papers 504, Faculty of Economics and Social Sciences, University of Freiburg/Fribourg Switzerland.
    18. Bruno Ferman & Cristine Pinto, 2019. "Inference in Differences-in-Differences with Few Treated Groups and Heteroskedasticity," The Review of Economics and Statistics, MIT Press, vol. 101(3), pages 452-467, July.
    19. A. Colin Cameron & Douglas L. Miller, 2015. "A Practitioner’s Guide to Cluster-Robust Inference," Journal of Human Resources, University of Wisconsin Press, vol. 50(2), pages 317-372.
    20. Tyrefors, Björn & Jansson, Joakim, 2017. "Gender Quotas in the Board Room and Firm Performance: Evidence from a Credible Threat in Sweden," Working Paper Series 1165, Research Institute of Industrial Economics.

    More about this item

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:2409.12353. 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.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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.