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We develop a novel approach to partially identify causal estimands, such as the average treatment effect (ATE), from observational data. To better satisfy the stable unit treatment value assumption (SUTVA) we utilize stochastic…

Methodology · Statistics 2024-07-30 Brian Knaeble , Braxton Osting , Placede Tshiaba

Confounding bias and selection bias bring two significant challenges to the validity of conclusions drawn from applied causal inference. The latter can stem from informative missingness, such as in cases of attrition. We introduce the…

Methodology · Statistics 2025-03-25 Johan de Aguas , Johan Pensar , Tomás Varnet Pérez , Guido Biele

The Average Treatment Effect (ATE) is a global measure of the effectiveness of an experimental treatment intervention. Classical methods of its estimation either ignore relevant covariates or do not fully exploit them. Moreover, past work…

Methodology · Statistics 2013-11-05 Emil Pitkin , Richard Berk , Lawrence Brown , Andreas Buja , Ed George , Kai Zhang , Linda Zhao

Regression discontinuity (RD) is a widely used quasi-experimental design for causal inference. In the standard RD, the assignment to treatment is determined by a continuous pretreatment variable (i.e., running variable) falling above or…

Methodology · Statistics 2020-06-23 Fan Li , Andrea Mercatanti , Taneli Makinen , Andrea Silvestrini

We consider the problem of estimating the effects of a binary treatment on a continuous outcome of interest from observational data in the absence of confounding by unmeasured factors. We provide a new estimator of the population average…

Methodology · Statistics 2020-08-04 James Robins , Mariela Sued , Quanhong Lei-Gomez , Andrea Rotnitzky

Regression discontinuity designs assess causal effects in settings where treatment is determined by whether an observed running variable crosses a pre-specified threshold. Here we propose a new approach to identification, estimation, and…

Methodology · Statistics 2025-04-01 Dean Eckles , Nikolaos Ignatiadis , Stefan Wager , Han Wu

The most widely discussed methods for estimating the Average Causal Effect/Average Treatment Effect are those for intervention in discrete binary variables whose value represents intervention/non-intervention groups. On the other hand,…

Machine Learning · Statistics 2022-03-21 Yoshiaki Kitazawa

This paper extends difference-in-differences to settings with continuous treatments. Specifically, the average treatment effect on the treated (ATT) at any level of treatment intensity is identified under a conditional parallel trends…

Econometrics · Economics 2026-01-05 Lucas Z. Zhang

In this paper, we introduce a unified estimator to analyze various treatment effects in causal inference, including but not limited to the average treatment effect (ATE) and the quantile treatment effect (QTE). The proposed estimator is…

Methodology · Statistics 2025-03-31 Kuan-Hsun Wu , Li-Pang Chen

We study regression discontinuity designs with the use of additional covariates for estimation of the average treatment effect. We provide a detailed proof of asymptotic normality of the covariate-adjusted estimator under minimal…

Statistics Theory · Mathematics 2023-10-16 Patrick Kramer , Alexander Kreiß

Boundary discontinuity designs are used to learn about causal treatment effects along a continuous assignment boundary that splits units into control and treatment groups according to a bivariate location score. We analyze location-based…

Econometrics · Economics 2026-05-15 Matias D. Cattaneo , Rocio Titiunik , Ruiqi Rae Yu

We extend the continuity-based framework to Regression Discontinuity Designs (RDDs) to identify and estimate causal effects under interference when units are connected through a network. Assignment to an "effective treatment," combining the…

Methodology · Statistics 2025-11-20 Elena Dal Torrione , Tiziano Arduini , Laura Forastiere

The regression discontinuity (RD) design is a popular approach to causal inference in non-randomized studies. This is because it can be used to identify and estimate causal effects under mild conditions. Specifically, for each subject, the…

Methodology · Statistics 2014-02-11 George Karabatsos , Stephen G. Walker

Regression discontinuity (RD) analysis with latent variables as introduced by Morell et al. (2025), offers a useful augmentation of the conventional RD by incorporating measurement model. This approach is particularly relevant in education…

Methodology · Statistics 2026-04-07 Monica Morell , Youngjin Han , Muwon Kwon , Youjin Sung , Yang Liu , Ji Seung Yang

One of the main tasks of causal inference is estimating well-defined causal parameters. One of the main causal parameters is the average causal effect (ACE) - the expected value of the individual level causal effects in the target…

Methodology · Statistics 2021-12-17 Fernando Pires Hartwig

Treatment effects in regression discontinuity designs (RDDs) are often estimated using local regression methods. \cite{Hahn:01} demonstrated that the identification of the average treatment effect at the cutoff in RDDs relies on the…

Econometrics · Economics 2024-12-30 Weiwei Jiang , Rong J. B. Zhu

In studies of educational production functions or intergenerational mobility, it is common to transform the key variables into percentile ranks. Yet, it remains unclear what the regression coefficient estimates with ranks of the outcome or…

Econometrics · Economics 2024-06-11 Lihua Lei

In medical practice, treatments are selected based on the expected causal effects on patient outcomes. Here, the gold standard for estimating causal effects are randomized controlled trials; however, such trials are costly and sometimes…

Machine Learning · Statistics 2023-01-24 Dennis Frauen , Tobias Hatt , Valentyn Melnychuk , Stefan Feuerriegel

We consider causal inference in dynamic settings where treatment is assigned by thresholding a state variable that can change over time. There is a large literature on regression-discontinuity methods building on the fact that, in the…

Methodology · Statistics 2026-05-25 Aditya Ghosh , Stefan Wager

In many applications of regression discontinuity designs, the running variable used by the administrator to assign treatment is only observed with error. We show that, provided the observed running variable (i) correctly classifies the…

Econometrics · Economics 2023-08-11 Yingying Dong , Michal Kolesár