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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…

计量经济学 · 经济学 2025-11-10 Masahiro Kato , Akari Ohda

We consider the asymptotic properties of the Synthetic Control (SC) estimator when both the number of pre-treatment periods and control units are large. If potential outcomes follow a linear factor model, we provide conditions under which…

计量经济学 · 经济学 2020-05-27 Bruno Ferman

We analyze the properties of the Synthetic Control (SC) and related estimators when the pre-treatment fit is imperfect. In this framework, we show that these estimators are generally biased if treatment assignment is correlated with…

计量经济学 · 经济学 2021-01-13 Bruno Ferman , Cristine Pinto

Since their introduction in Abadie and Gardeazabal (2003), Synthetic Control (SC) methods have quickly become one of the leading methods for estimating causal effects in observational studies in settings with panel data. Formal discussions…

计量经济学 · 经济学 2023-07-20 Lea Bottmer , Guido Imbens , Jann Spiess , Merrill Warnick

This paper provides new insights into the asymptotic properties of the synthetic control method (SCM). We show that the synthetic control (SC) weight converges to a limiting weight that minimizes the mean squared prediction risk of the…

计量经济学 · 经济学 2022-11-23 Xiaomeng Zhang , Wendun Wang , Xinyu Zhang

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…

计量经济学 · 经济学 2021-06-22 Marianne Bléhaut , Xavier D'Haultfoeuille , Jérémy L'Hour , Alexandre B. Tsybakov

Synthetic control methods are widely used to estimate the treatment effect on a single treated unit in time-series settings. A common approach to estimate synthetic control weights is to regress the treated unit's pre-treatment outcome and…

统计方法学 · 统计学 2025-03-06 Chan Park , Eric Tchetgen Tchetgen

This paper extends the literature on the theoretical properties of synthetic controls to the case of non-linear generative models, showing that the synthetic control estimator is generally biased in such settings. I derive a lower bound for…

计量经济学 · 经济学 2021-11-23 Oscar Engelbrektson

Uncertainty quantification is a fundamental problem in the analysis and interpretation of synthetic control (SC) methods. We develop conditional prediction intervals in the SC framework, and provide conditions under which these intervals…

统计方法学 · 统计学 2021-09-09 Matias D. Cattaneo , Yingjie Feng , Rocio Titiunik

To infer the treatment effect for a single treated unit using panel data, synthetic control methods construct a linear combination of control units' outcomes that mimics the treated unit's pre-treatment outcome trajectory. This linear…

统计方法学 · 统计学 2024-05-07 Hongxiang Qiu , Xu Shi , Wang Miao , Edgar Dobriban , Eric Tchetgen Tchetgen

We analyze the synthetic control (SC) method in panel data settings with many units. We assume the treatment assignment is based on unobserved heterogeneity and pre-treatment information, allowing for both strictly and sequentially…

计量经济学 · 经济学 2023-12-27 Dmitry Arkhangelsky , David Hirshberg

This paper studies inference on treatment effects in panel data settings with unobserved confounding. We model outcome variables through a factor model with random factors and loadings. Such factors and loadings may act as unobserved…

计量经济学 · 经济学 2023-12-05 Guido W. Imbens , Davide Viviano

To estimate the causal effect of an intervention, researchers need to identify a control group that represents what might have happened to the treatment group in the absence of that intervention. This is challenging without a randomized…

统计方法学 · 统计学 2026-03-20 Robert Pickett , Jennifer Hill , Sarah Cowan

Estimation and inference procedures for synthetic control methods often do not allow for the existence of spillover effects, which are plausible in many applications. In this paper, we consider estimation and inference for synthetic control…

计量经济学 · 经济学 2026-01-23 Jianfei Cao , Connor Dowd

We propose a generalization of the synthetic control and interventions methods to the setting with dynamic treatment effects. We consider the estimation of unit-specific treatment effects from panel data collected under a general treatment…

计量经济学 · 经济学 2025-10-03 Anish Agarwal , Sukjin Han , Dwaipayan Saha , Vasilis Syrgkanis , Haeyeon Yoon

This article studies experimental design in settings where the experimental units are large aggregate entities (e.g., markets), and only one or a small number of units can be exposed to the treatment. In such settings, randomization of the…

统计方法学 · 统计学 2025-04-24 Alberto Abadie , Jinglong Zhao

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…

统计方法学 · 统计学 2020-07-24 Eli Ben-Michael , Avi Feller , Jesse Rothstein

Understanding the effect of a particular treatment or a policy pertains to many areas of interest, ranging from political economics, marketing to healthcare. In this paper, we develop a non-parametric algorithm for detecting the effects of…

统计方法学 · 统计学 2022-08-24 Davide Viviano , Jelena Bradic

Estimating weights in the synthetic control method, typically resulting in sparse weights where only a few control units have non-zero weights, involves an optimization procedure that selects and combines control units to closely match the…

计量经济学 · 经济学 2026-02-03 Rong J. B. Zhu

We investigate the optimal design of experimental studies that have pre-treatment outcome data available. The average treatment effect is estimated as the difference between the weighted average outcomes of the treated and control units. A…

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