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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

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

The Bayesian approach has proved to be a coherent approach to handle ill posed Inverse problems. However, the Bayesian calculations need either an optimization or an integral calculation. The maximum a posteriori (MAP) estimation requires…

数据分析、统计与概率 · 物理学 2007-05-23 A. Mohammad-Djafari

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

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

The challenges posed by high-dimensional data and use of the simplex constraint are two major concerns in the empirical application of the synthetic control method (SCM) in econometric studies. To address both issues simultaneously, we…

统计方法学 · 统计学 2025-12-02 Yihong Xu , Quan Zhou

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

Implementing Bayesian inference is often computationally challenging in applications involving complex models, and sometimes calculating the likelihood itself is difficult. Synthetic likelihood is one approach for carrying out inference…

统计计算 · 统计学 2021-03-15 David T. Frazier , David J. Nott , Christopher Drovandi , Robert Kohn

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

This study proposes a new Bayesian approach to infer binary treatment effects. The approach treats counterfactual untreated outcomes as missing observations and infers them by completing a matrix composed of realized and potential untreated…

统计方法学 · 统计学 2021-04-20 Masahiro Tanaka

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

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

We propose a novel Bayesian model selection technique on linear mixed-effects models to compare multiple treatments with a control. A fully Bayesian approach is implemented to estimate the marginal inclusion probabilities that provide a…

应用统计 · 统计学 2015-09-28 Lei Gong , James M. Flegal , Stephen R. Spindler , Patricia L. Mote

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…

应用统计 · 统计学 2019-10-15 Elias Tuomaala

We study system design problems stated as parameterized stochastic programs with a chance-constraint set. We adopt a Bayesian approach that requires the computation of a posterior predictive integral which is usually intractable. In…

机器学习 · 统计学 2020-01-07 Prateek Jaiswal , Harsha Honnappa , Vinayak A. Rao

The synthetic control method (SCM) is widely used for causal inference with panel data, particularly when the number of treated units is small. It relies on the stable unit treatment value assumption (SUTVA), ruling out spillover effects.…

计量经济学 · 经济学 2026-03-26 Shosei Sakaguchi , Hayato Tagawa

The estimation of heterogeneous treatment effects in the potential outcome setting is biased when there exists model misspecification or unobserved confounding. As these biases are unobservable, what model to use when remains a critical…

统计方法学 · 统计学 2024-05-09 Shonosuke Sugasawa , Kosaku Takanashi , Kenichiro McAlinn , Edoardo M. Airoldi

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

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
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