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This paper reinterprets the Synthetic Control (SC) framework through the lens of weighting philosophy, arguing that the contrast between traditional SC and Difference-in-Differences (DID) reflects two distinct modeling mindsets: sparse…

Methodology · Statistics 2025-10-31 Le Wang , Xin Xing , Youhui Ye

Causal discovery from observational and interventional data is challenging due to limited data and non-identifiability: factors that introduce uncertainty in estimating the underlying structural causal model (SCM). Selecting experiments…

Machine Learning · Computer Science 2022-10-24 Panagiotis Tigas , Yashas Annadani , Andrew Jesson , Bernhard Schölkopf , Yarin Gal , Stefan Bauer

We present a unified three-state model (TSM) framework for evaluating treatment effects in clinical trials in the presence of treatment crossover. Researchers have proposed diverse methodologies to estimate the treatment effect that would…

Methodology · Statistics 2024-09-18 Zile Zhao , Ye Li , Xiaodong Luo , Ray Bai

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

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 control method is often applied to problems with one treated unit and a small number of control units. A common inferential task in this setting is to test null hypotheses regarding the average treatment effect on the treated.…

Methodology · Statistics 2025-04-22 Lihua Lei , Timothy Sudijono

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…

Econometrics · Economics 2021-11-23 Oscar Engelbrektson

We provide an analytical characterization of the model flexibility of the synthetic control method (SCM) in the familiar form of degrees of freedom. We obtain estimable information criteria, which may be used to circumvent cross-validation…

Econometrics · Economics 2026-03-12 Guillaume Allaire Pouliot , Zhen Xie , Ziyi Liu

Stochastic differential equations (SDEs) provide a natural framework for modelling intrinsic stochasticity inherent in many continuous-time physical processes. When such processes are observed in multiple individuals or experimental units,…

Computation · Statistics 2016-05-19 Gavin A. Whitaker , Andrew Golightly , Richard J. Boys , Chris Sherlock

This paper investigates the case of interference, when a unit's treatment also affects other units' outcome. When interference is at work, policy evaluation mostly relies on the use of randomized experiments under cluster interference and…

Methodology · Statistics 2023-06-13 Laura Forastiere , Davide Del Prete , Valerio Leone Sciabolazza

A new statistical procedure, based on a modified spline basis, is proposed to identify the linear components in the panel data model with fixed effects. Under some mild assumptions, the proposed procedure is shown to consistently estimate…

Econometrics · Economics 2019-11-21 Ruiqi Liu , Ben Boukai , Zuofeng Shang

This paper introduces a straightforward sieve-based approach for estimating and conducting inference on regression parameters in panel data models with interactive fixed effects. The method's key assumption is that factor loadings can be…

Econometrics · Economics 2025-02-26 Georg Keilbar , Juan M. Rodriguez-Poo , Alexandra Soberon , Weining Wang

Few Bayesian methods for analyzing high-dimensional sparse survival data provide scalable variable selection, effect estimation and uncertainty quantification. Such methods often either sacrifice uncertainty quantification by computing…

Methodology · Statistics 2022-07-06 Michael Komodromos , Eric Aboagye , Marina Evangelou , Sarah Filippi , Kolyan Ray

Understanding treatment effect heterogeneity has become increasingly important in many fields. In this paper we study distributions and quantiles of individual treatment effects to provide a more comprehensive and robust understanding of…

Methodology · Statistics 2026-03-31 Zhe Chen , Xinran Li

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…

Methodology · Statistics 2024-05-09 Shonosuke Sugasawa , Kosaku Takanashi , Kenichiro McAlinn , Edoardo M. Airoldi

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…

Econometrics · Economics 2020-05-27 Bruno Ferman

This paper introduces a novel approach for estimating heterogeneous treatment effects of binary treatment in panel data, particularly focusing on short panel data with large cross-sectional data and observed confoundings. In contrast to…

Methodology · Statistics 2024-06-05 Meijia Wang , Ignacio Martinez , P. Richard Hahn

Empirical work often uses treatment assigned following geographic boundaries. When the effects of treatment cross over borders, classical difference-in-differences estimation produces biased estimates for the average treatment effect. In…

Econometrics · Economics 2023-06-13 Kyle Butts

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

The Stable Unit Treatment Value Assumption (SUTVA) includes the condition that there are no multiple versions of treatment in causal inference. Though we could not control the implementation of treatment in observational studies, multiple…

Methodology · Statistics 2026-01-05 Kohei Yoshikawa , Shuichi Kawano
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