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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…

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

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

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

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

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

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…

计量经济学 · 经济学 2022-01-03 Florian Gunsilius

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…

统计方法学 · 统计学 2021-12-15 Claudia Shi , Dhanya Sridhar , Vishal Misra , David M. Blei

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

Many macroeconomic policy questions may be assessed in a case study framework, where the time series of a treated unit is compared to a counterfactual constructed from a large pool of control units. I provide a general framework for this…

计量经济学 · 经济学 2018-03-02 Daniel Kinn

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…

计量经济学 · 经济学 2017-11-21 Muhammad Jehangir Amjad , Devavrat Shah , Dennis Shen

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…

计量经济学 · 经济学 2026-05-21 Ziyi Liu , Yiqing Xu

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…

计量经济学 · 经济学 2024-05-06 Andrii Melnychuk

The synthetic control method (SCM) allows estimating the causal effect of an intervention in settings where panel data on a small number of treated and control units are available. We show that the existing SCM, as well as its extensions,…

应用统计 · 统计学 2022-05-20 Giovanni Mellace , Alessandra Pasquini

The synthetic control method has become a widely popular tool to estimate causal effects with observational data. Despite this, inference for synthetic control methods remains challenging. Often, inferential results rely on linear factor…

统计方法学 · 统计学 2024-07-09 Ignacio Martinez , Jaume Vives-i-Bastida

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

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

This paper investigates the use of synthetic control methods for causal inference in macroeconomic settings when dealing with possibly nonstationary data. While the synthetic control approach has gained popularity for estimating…

计量经济学 · 经济学 2025-05-29 Zhentao Shi , Jin Xi , Haitian Xie

Synthetic control methods often rely on matching pre-treatment characteristics (called predictors) of the treated unit. The choice of predictors and how they are weighted plays a key role in the performance and interpretability of synthetic…

统计方法学 · 统计学 2023-01-02 Jaume Vives-i-Bastida

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
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