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Difference-in-differences (DID) is a widely used quasi-experimental design for causal inference, traditionally applied to scalar or Euclidean outcomes, while extensions to outcomes residing in non-Euclidean spaces remain limited. Existing…

Methodology · Statistics 2025-01-30 Yidong Zhou , Daisuke Kurisu , Taisuke Otsu , Hans-Georg Müller

Adjusting for confounding and imbalance when establishing statistical relationships is an increasingly important task, and causal inference methods have emerged as the most popular tool to achieve this. Causal inference has been developed…

Methodology · Statistics 2025-01-20 Daisuke Kurisu , Yidong Zhou , Taisuke Otsu , Hans-Georg Müller

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

Regression discontinuity designs have been widely used in observational studies to estimate causal effects of an intervention or treatment at a cutoff point. We propose a generalization of regression discontinuity designs to handle complex…

Methodology · Statistics 2025-06-24 Daisuke Kurisu , Yidong Zhou , Taisuke Otsu , Hans-Georg Müller

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…

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…

Methodology · Statistics 2024-07-09 Ignacio Martinez , Jaume Vives-i-Bastida

Mixed effect modeling for longitudinal data is challenging when the observed data are random objects, which are complex data taking values in a general metric space without linear structure. In such settings the classical additive error…

Methodology · Statistics 2023-07-13 Satarupa Bhattacharjee , Hans-Georg Müller

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

We generalize the synthetic control (SC) method to a multiple-outcome framework, where the conventional pre-treatment time dimension is supplemented with the extra dimension of related outcomes in computing the SC weights. This…

General Economics · Economics 2024-07-29 Wei Tian , Seojeong Lee , Valentyn Panchenko

The synthetic control method estimates the causal effect by comparing the treated unit's outcomes to a weighted average of control units that closely match its pre-treatment outcomes, assuming the relationship between treated and control…

Methodology · Statistics 2026-01-07 Taehyeon Koo , Zijian Guo

A methodology is developed for data analysis based on empirically constructed geodesic metric spaces. For a probability distribution, the length along a path between two points can be defined as the amount of probability mass accumulated…

Statistics Theory · Mathematics 2019-03-18 Kei Kobayashi , Henry P. Wynn

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…

Applications · Statistics 2017-09-21 Nikolay Doudchenko , Guido W. Imbens

The generation of synthetic data is an essential tool to study complex systems, allowing for example to test models of these in precisely controlled settings, or to parametrize simulation models when data is missing. This paper focuses on…

Applications · Statistics 2019-11-25 Juste Raimbault

We introduce new inference procedures for counterfactual and synthetic control methods for policy evaluation. We recast the causal inference problem as a counterfactual prediction and a structural breaks testing problem. This allows us to…

Econometrics · Economics 2022-01-26 Victor Chernozhukov , Kaspar Wüthrich , Yinchu Zhu

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…

Econometrics · Economics 2025-05-29 Zhentao Shi , Jin Xi , Haitian Xie

The synthetic difference-in-differences method provides an efficient method to estimate a causal effect with a latent factor model. However, it relies on the use of panel data. This paper presents an adaptation of the synthetic…

Econometrics · Economics 2024-10-01 Yoann Morin

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…

Econometrics · Economics 2025-11-18 Jianfei Cao , Shirley Lu , Hang Wu

We investigate whether generating synthetic data can be a viable strategy for providing access to detailed geocoding information for external researchers, without compromising the confidentiality of the units included in the database. Our…

Applications · Statistics 2020-08-25 Joerg Drechsler , Jingchen Hu

The machine learning community has mainly relied on real data to benchmark algorithms as it provides compelling evidence of model applicability. Evaluation on synthetic datasets can be a powerful tool to provide a better understanding of a…

Machine Learning · Computer Science 2022-11-01 Florence Regol , Anja Kroon , Mark Coates

In this paper, we adopt results in nonlinear time series analysis for causal inference in dynamical settings.~Our motivation is policy analysis with panel data, particularly through the use of "synthetic control" methods. These methods…

Methodology · Statistics 2020-03-03 Yi Ding , Panos Toulis
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