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Truncated History Framework for Synthetic Control Approaches

Author

Listed:
  • Spoelstra, Peter
  • Stolp, Tom
  • Golsteyn, Bart H.H.
  • Cornelisz, Ilja
  • van Klaveren, Chris

Abstract

We introduce the Truncated History (TH) framework for synthetic control approaches, which excludes pretreatment periods. The in-time placebo test fits within TH as right-truncation, removing final pretreatment periods. While useful, it may over-rely on early pretreatment data, potentially undermining robustness. To address this, we propose a left-truncation strategy, the left-TH robustness check, which iteratively excludes the earliest pretreatment periods and re-estimates effects. Stable results support credibility, while instability suggests that interval estimates may be more appropriate. TH provides robustness for pretreatment horizons and helps identify stable models, which we demonstrate on the California tobacco program of Abadie et al. (2010).

Suggested Citation

  • Spoelstra, Peter & Stolp, Tom & Golsteyn, Bart H.H. & Cornelisz, Ilja & van Klaveren, Chris, 2025. "Truncated History Framework for Synthetic Control Approaches," Economics Letters, Elsevier, vol. 257(C).
  • Handle: RePEc:eee:ecolet:v:257:y:2025:i:c:s0165176525005385
    DOI: 10.1016/j.econlet.2025.112701
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    References listed on IDEAS

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    1. Dmitry Arkhangelsky & Susan Athey & David A. Hirshberg & Guido W. Imbens & Stefan Wager, 2021. "Synthetic Difference-in-Differences," American Economic Review, American Economic Association, vol. 111(12), pages 4088-4118, December.
    2. Alberto Abadie & Alexis Diamond & Jens Hainmueller, 2015. "Comparative Politics and the Synthetic Control Method," American Journal of Political Science, John Wiley & Sons, vol. 59(2), pages 495-510, February.
    3. Alberto Abadie & Javier Gardeazabal, 2003. "The Economic Costs of Conflict: A Case Study of the Basque Country," American Economic Review, American Economic Association, vol. 93(1), pages 113-132, March.
    4. Bruno Ferman & Cristine Pinto, 2021. "Synthetic controls with imperfect pretreatment fit," Quantitative Economics, Econometric Society, vol. 12(4), pages 1197-1221, November.
    5. Chen, Qiang & Yan, Guanpeng, 2023. "A mixed placebo test for synthetic control method," Economics Letters, Elsevier, vol. 224(C).
    6. Nikolay Doudchenko & Guido W. Imbens, 2016. "Balancing, Regression, Difference-In-Differences and Synthetic Control Methods: A Synthesis," NBER Working Papers 22791, National Bureau of Economic Research, Inc.
    7. Dmitry Arkhangelsky & Guido Imbens, 2024. "Causal models for longitudinal and panel data: a survey," The Econometrics Journal, Royal Economic Society, vol. 27(3), pages 1-61.
    8. Alberto Abadie, 2021. "Using Synthetic Controls: Feasibility, Data Requirements, and Methodological Aspects," Journal of Economic Literature, American Economic Association, vol. 59(2), pages 391-425, June.
    9. Dmitry Arkhangelsky & Guido Imbens, 2023. "Causal Models for Longitudinal and Panel Data: A Survey," Papers 2311.15458, arXiv.org, revised Jun 2024.
    10. 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.
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    Keywords

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    JEL classification:

    • C21 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Cross-Sectional Models; Spatial Models; Treatment Effect Models
    • C23 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Models with Panel Data; Spatio-temporal Models
    • C52 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Evaluation, Validation, and Selection

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