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The synthetic control method (SCM) is a widely used tool for evaluating causal effects of policy changes in panel data settings. Recent studies have extended its framework to accommodate complex outcomes that take values in metric spaces,…

Methodology · Statistics 2026-01-13 Ryo Okano , Daisuke Kurisu

The synthetic control method (SCM) is widely used for constructing the counterfactual of a treated unit based on data from control units in a donor pool. Allowing the donor pool contains more control units than time periods, we propose a…

Econometrics · Economics 2026-05-19 Chengwang Liao , Zhentao Shi , Yapeng Zheng

The synthetic control method (SCM) is a popular approach for estimating the impact of a treatment on a single unit in panel data settings. The "synthetic control" is a weighted average of control units that balances the treated unit's…

Methodology · Statistics 2020-07-24 Eli Ben-Michael , Avi Feller , Jesse Rothstein

Synthetic Control Methods (SCMs) have become a fundamental tool for comparative case studies. The core idea behind SCMs is to estimate treatment effects by predicting counterfactual outcomes for a treated unit using a weighted combination…

Econometrics · Economics 2025-11-10 Masahiro Kato , Akari Ohda

We present a robust generalization of the synthetic control method for comparative case studies. Like the classical method, we present an algorithm to estimate the unobservable counterfactual of a treatment unit. A distinguishing feature of…

Econometrics · Economics 2017-11-21 Muhammad Jehangir Amjad , Devavrat Shah , Dennis Shen

Social scientists often study how a policy reform impacted a single targeted country. Increasingly, this is done with the synthetic control method (SCM). SCM models the country's counterfactual (non-reform or untreated) trajectory as a…

Applications · Statistics 2019-10-15 Elias Tuomaala

Synthetic control methods can produce misleading counterfactual predictions when outcome series contain unit-specific stochastic trends, a common feature of nonstationary macroeconomic data. Existing remedies, such as pre-filtering or…

Econometrics · Economics 2026-05-21 Ziyi Liu , Yiqing Xu

The synthetic control method is a an econometric tool to evaluate causal effects when only one unit is treated. While initially aimed at evaluating the effect of large-scale macroeconomic changes with very few available control units, it…

Synthetic control methods (SCMs) are a canonical approach used to estimate treatment effects from panel data in the internet economy. We shed light on a frequently overlooked but ubiquitous assumption made in SCMs of "overlap": a treated…

Econometrics · Economics 2026-02-26 Daniel Ngo , Keegan Harris , Anish Agarwal , Vasilis Syrgkanis , Zhiwei Steven Wu

Staggered adoption of policies by different units at different times creates promising opportunities for observational causal inference. Estimation remains challenging, however, and common regression methods can give misleading results. A…

Methodology · Statistics 2021-01-19 Eli Ben-Michael , Avi Feller , Jesse Rothstein

The synthetic control method (SCM) estimates causal effects in panel data with a single-treated unit by constructing a counterfactual outcome as a weighted combination of untreated control units that matches the pre-treatment trajectory. In…

Machine Learning · Statistics 2026-05-13 Yuxin Wang , Dennis Frauen , Emil Javurek , Konstantin Hess , Yuchen Ma , Stefan Feuerriegel

The synthetic control method (SCM) is a popular approach for estimating the impact of a treatment on a single unit with panel data. Two challenges arise with higher frequency data (e.g., monthly versus yearly): (1) achieving excellent…

Econometrics · Economics 2024-04-16 Liyang Sun , Eli Ben-Michael , Avi Feller

Synthetic control (SC) methods have been widely applied to estimate the causal effect of large-scale interventions, e.g., the state-wide effect of a change in policy. The idea of synthetic controls is to approximate one unit's…

Methodology · Statistics 2021-12-15 Claudia Shi , Dhanya Sridhar , Vishal Misra , David M. Blei

Mixed-frequency data, where variables are observed at different temporal resolutions, commonly occur in economic and financial studies. Classical synthetic control methods (SCM) are ill-suited for such data, often necessitating aggregation…

Methodology · Statistics 2026-05-13 Lu Zhang , Shijin Gong , Xinyu Zhang

The synthetic control method (SCM) has become a popular tool for estimating causal effects in policy evaluation, where a single treated unit is observed, and a heterogeneous set of untreated units with pre- and post-policy change data are…

Methodology · Statistics 2023-08-21 Jizhou Liu , Eric J. Tchetgen Tchetgen , Carlos Varjão

The Synthetic Control method has pioneered a class of powerful data-driven techniques to estimate the counterfactual reality of a unit from donor units. At its core, the technique involves a linear model fitted on the pre-intervention…

Artificial Intelligence · Computer Science 2022-11-28 Bhishma Dedhia , Roshini Balasubramanian , Niraj K. Jha

Accurately quantifying geo-level marketing lift in two-sided marketplaces is challenging: the Synthetic Control Method (SCM) often exhibits high power yet systematically under-estimates effect size, while panel-style Double Machine Learning…

Machine Learning · Computer Science 2025-08-29 Sang Su Lee , Vineeth Loganathan , Vijay Raghavan

Iterative Synthetic Control Method is introduced in this study, a modification of the Synthetic Control Method (SCM) designed to improve its predictive performance by utilizing control units affected by the treatment in question. This…

Econometrics · Economics 2024-05-06 Andrii Melnychuk

This article extends the widely-used synthetic controls estimator for evaluating causal effects of policy changes to quantile functions. The proposed method provides a geometrically faithful estimate of the entire counterfactual quantile…

Econometrics · Economics 2022-01-03 Florian Gunsilius

When evaluating the impact of a policy on a metric of interest, it may not be possible to conduct a randomized control trial. In settings where only observational data is available, Synthetic Control (SC) methods provide a popular…

Methodology · Statistics 2019-09-24 Muhummad Amjad , Vishal Misra , Devavrat Shah , Dennis Shen
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