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Real-World Data (RWD), with its large sample sizes and rich clinical detail, offers a compelling alternative to randomized controlled trials (RCTs) for studying treatment effects in diverse and complex patient populations. However, its…

Applications · Statistics 2026-05-26 Yifei Xu , Hwiyoung Lee , Zhenyao Ye , Yezhi Pan , Jingsong Zhou , Yun Yang , Chixiang Chen , Shuo Chen

This paper introduces BART-RDD, a sum-of-trees regression model built around a novel regression tree prior, which incorporates the special covariate structure of regression discontinuity designs. Specifically, the tree splitting process is…

Methodology · Statistics 2024-07-22 Rafael Alcantara , Meijia Wang , P. Richard Hahn , Hedibert Lopes

Empirical studies using Regression Discontinuity (RD) designs often explore heterogeneous treatment effects based on pretreatment covariates, even though no formal statistical methods exist for such analyses. This has led to the widespread…

Estimating community-specific mental health effects of local events is vital for public health policy. While forecasting mental health scores alone offers limited insights into the impact of events on community well-being,…

Machine Learning · Computer Science 2025-09-01 Siddharth Mangalik , Ojas Deshpande , Adithya V. Ganesan , Sean A. P. Clouston , H. Andrew Schwartz

We introduce the \texttt{Stata} (and \texttt{R}) package \texttt{rdmulti}, which includes three commands (\texttt{rdmc}, \texttt{rdmcplot}, \texttt{rdms}) for analyzing Regression Discontinuity (RD) designs with multiple cutoffs or multiple…

Computation · Statistics 2020-04-28 Matias D. Cattaneo , Rocio Titiunik , Gonzalo Vazquez-Bare

The paper proposes a causal supervised machine learning algorithm to uncover treatment effect heterogeneity in sharp and fuzzy regression discontinuity (RD) designs. We develop a criterion for building an honest ``regression discontinuity…

Econometrics · Economics 2025-09-01 Ágoston Reguly

Tie-breaker experimental designs are hybrids of Randomized Controlled Trials (RCTs) and Regression Discontinuity Designs (RDDs) in which subjects with moderate scores are placed in an RCT while subjects with extreme scores are…

Methodology · Statistics 2023-01-24 Dan M. Kluger , Art B. Owen

We provide an inference procedure for the sharp regression discontinuity design (RDD) under monotonicity, with possibly multiple running variables. Specifically, we consider the case where the true regression function is monotone with…

Econometrics · Economics 2020-12-01 Koohyun Kwon , Soonwoo Kwon

In a tie-breaker design (TBD), subjects with high values of a running variable are given some (usually desirable) treatment, subjects with low values are not, and subjects in the middle are randomized. TBDs are intermediate between…

Methodology · Statistics 2025-05-12 Tim P. Morrison , Art B. Owen

In this Element and its accompanying Element, Matias D. Cattaneo, Nicolas Idrobo, and Rocio Titiunik provide an accessible and practical guide for the analysis and interpretation of Regression Discontinuity (RD) designs that encourages the…

Methodology · Statistics 2019-11-22 Matias D. Cattaneo , Nicolas Idrobo , Rocio Titiunik

This article provides an introduction to the Regression Discontinuity (RD) design, and its application to empirical research in the medical sciences. While the main focus of this article is on causal interpretation, key concepts of…

Methodology · Statistics 2025-08-07 Matias D. Cattaneo , Rocio Titiunik

A popular method for estimating a causal treatment effect with observational data is the difference-in-differences (DiD) model. In this work, we consider an extension of the classical DiD setting to the hierarchical context in which data…

Methodology · Statistics 2019-10-17 James Normington , Eric F. Lock , Thomas A. Murray , Caroline S. Carlin

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

I propose a novel argument to identify economically interpretable intertemporal treatment effects in dynamic regression discontinuity designs (RDDs). Specifically, I develop a dynamic potential outcomes model and reformulate two assumptions…

Econometrics · Economics 2025-03-28 Francesco Ruggieri

Personalized medicine seeks to identify the causal effect of treatment for a particular patient as opposed to a clinical population at large. Most investigators estimate such personalized treatment effects by regressing the outcome of a…

Machine Learning · Statistics 2021-09-02 Eric V. Strobl , Shyam Visweswaran

This paper studies the case of possibly high-dimensional covariates in the regression discontinuity design (RDD) analysis. In particular, we propose estimation and inference methods for the RDD models with covariate selection which perform…

Econometrics · Economics 2026-01-21 Yoichi Arai , Taisuke Otsu , Myung Hwan Seo

Latent Dirichlet allocation (LDA) obtains essential information from data by using Bayesian inference. It is applied to knowledge discovery via dimension reducing and clustering in many fields. However, its generalization error had not been…

Machine Learning · Statistics 2021-01-26 Naoki Hayashi

Regression discontinuity (RD) designs are popular quasi-experimental studies in which treatment assignment depends on whether the value of a running variable exceeds a cutoff. RD designs are increasingly popular in educational applications…

Methodology · Statistics 2024-07-23 Daryl Swartzentruber , Eloise Kaizar

Respondent-Driven Sampling (RDS) is a form of link-tracing sampling, a sampling technique used for `hard-to-reach' populations that aims to leverage individuals' social relationships to reach potential participants. While the methodological…

Discontinuities can be fairly arbitrary but also cause a significant impact on outcomes in larger systems. Indeed, their arbitrariness is why they have been used to infer causal relationships among variables in numerous settings. Regression…

Information Theory · Computer Science 2023-12-29 Ibtihal Ferwana , Suyoung Park , Ting-Yi Wu , Lav R. Varshney