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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…

统计方法学 · 统计学 2021-01-19 Eli Ben-Michael , Avi Feller , Jesse Rothstein

Difference-in-Differences (DiD) and Synthetic Control (SC) are widely used methods for causal inference in panel data, each with distinct strengths and limitations. We propose a novel method for short-panel causal inference that integrates…

计量经济学 · 经济学 2025-09-26 Yixiao Sun , Haitian Xie , Yuhang Zhang

Popular empirical strategies for policy evaluation in the panel data literature -- including difference-in-differences (DID), synthetic control (SC) methods, and their variants -- rely on key identifying assumptions that can be expressed…

计量经济学 · 经济学 2025-11-11 Yiqi Liu

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 (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

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…

计量经济学 · 经济学 2024-04-16 Liyang Sun , Eli Ben-Michael , Avi Feller

We introduce a synthetic control methodology to study policies with staggered adoption. Many policies, such as the board gender diversity policies, are replicated by other policy setters at different time frames. Our method estimates the…

计量经济学 · 经济学 2025-11-18 Jianfei Cao , Shirley Lu , Hang Wu

In a seminal paper Abadie, Diamond, and Hainmueller [2010] (ADH), see also Abadie and Gardeazabal [2003], Abadie et al. [2014], develop the synthetic control procedure for estimating the effect of a treatment, in the presence of a single…

应用统计 · 统计学 2017-09-21 Nikolay Doudchenko , Guido W. Imbens

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

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…

统计方法学 · 统计学 2026-05-13 Lu Zhang , Shijin Gong , Xinyu Zhang

Synthetic Control methods have recently gained considerable attention in applications with only one treated unit. Their popularity is partly based on the key insight that we can predict good synthetic counterfactuals for our treated unit.…

计量经济学 · 经济学 2025-07-15 Tzvetan Moev

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…

机器学习 · 统计学 2026-05-13 Yuxin Wang , Dennis Frauen , Emil Javurek , Konstantin Hess , Yuchen Ma , Stefan Feuerriegel

We study variants of the average treatment effect on the treated with population parameters replaced by their sample counterparts. For each estimand, we derive the limiting distribution with respect to a semiparametric efficient estimator…

统计方法学 · 统计学 2024-02-12 Andrew Yiu

Synthetic control (SC) methods are commonly used to estimate the treatment effect on a single treated unit in panel data settings. An SC is a weighted average of control units built to match the treated unit, with weights typically…

统计方法学 · 统计学 2023-02-21 Xu Shi , Kendrick Li , Wang Miao , Mengtong Hu , Eric Tchetgen Tchetgen

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

The weighted average treatment effect (WATE) is a causal measure for the comparison of interventions in a specific target population, which may be different from the population where data are sampled from. For instance, when the goal is to…

统计方法学 · 统计学 2018-04-17 Yebin Tao , Haoda Fu

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

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

Synthetic control (SC) methods have gained rapid popularity in economics recently, where they have been applied in the context of inferring the effects of treatments on standard continuous outcomes assuming linear input-output relations. In…

统计方法学 · 统计学 2024-02-19 Alicia Curth , Hoifung Poon , Aditya V. Nori , Javier González

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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