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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

We propose a new estimation method for heterogeneous causal effects which utilizes a regression discontinuity (RD) design for multiple datasets with different thresholds. The standard RD design is frequently used in applied researches, but…

Econometrics · Economics 2019-05-14 Takayuki Toda , Ayako Wakano , Takahiro Hoshino

The Regression Discontinuity (RD) design is one of the most widely used non-experimental methods for causal inference and program evaluation. Over the last two decades, statistical and econometric methods for RD analysis have expanded and…

Econometrics · Economics 2022-02-25 Matias D. Cattaneo , Rocio Titiunik

High-dimensional logistic regression is widely used in analyzing data with binary outcomes. In this paper, global testing and large-scale multiple testing for the regression coefficients are considered in both single- and two-regression…

Methodology · Statistics 2020-11-23 Rong Ma , T. Tony Cai , Hongzhe Li

In the conventional regression-discontinuity (RD) design, the probability that units receive a treatment changes discontinuously as a function of one covariate exceeding a threshold or cutoff point. This paper studies an extended RD design…

Econometrics · Economics 2025-10-13 Eugenio Felipe Merlano

This note introduces a doubly robust (DR) estimator for regression discontinuity (RD) designs. RD designs provide a quasi-experimental framework for estimating treatment effects, where treatment assignment depends on whether a running…

Econometrics · Economics 2025-01-28 Masahiro Kato

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

The Regression Discontinuity (RD) design is a widely used non-experimental method for causal inference and program evaluation. While its canonical formulation only requires a score and an outcome variable, it is common in empirical work to…

Methodology · Statistics 2022-08-25 Matias D. Cattaneo , Luke Keele , Rocio Titiunik

Two-sample testing is a fundamental problem in statistics. Despite its long history, there has been renewed interest in this problem with the advent of high-dimensional and complex data. Specifically, in the machine learning literature,…

Methodology · Statistics 2019-11-19 Ilmun Kim , Ann B. Lee , Jing Lei

Clustered sampling is prevalent in empirical regression discontinuity (RD) designs, but it has not received much attention in the theoretical literature. In this paper, we introduce a general model-based framework for such settings and…

Econometrics · Economics 2026-03-20 Claudia Noack , Tomasz Olma , Christoph Rothe

We study regression discontinuity designs when covariates are included in the estimation. We examine local polynomial estimators that include discrete or continuous covariates in an additive separable way, but without imposing any…

Econometrics · Economics 2019-07-02 Sebastian Calonico , Matias D. Cattaneo , Max H. Farrell , Rocio Titiunik

We present a practical guide for the analysis of regression discontinuity (RD) designs in biomedical contexts. We begin by introducing key concepts, assumptions, and estimands within both the continuity-based framework and the local…

Methodology · Statistics 2023-05-17 Matias D. Cattaneo , Luke Keele , Rocio Titiunik

The increasing popularity of regression discontinuity methods for causal inference in observational studies has led to a proliferation of different estimating strategies, most of which involve first fitting non-parametric regression models…

Methodology · Statistics 2018-06-11 Guido Imbens , Stefan Wager

Regression Discontinuity Design (RDD) is a popular framework for estimating a causal effect in settings where treatment is assigned if an observed covariate exceeds a fixed threshold. We consider estimation and inference in the common…

Statistics Theory · Mathematics 2025-04-16 Kevin Tao , Y. Samuel Wang , David Ruppert

Quasi-experimental evaluations are central for generating real-world causal evidence and complementing insights from randomized trials. The regression discontinuity design (RDD) is a quasi-experimental design that can be used to estimate…

Machine Learning · Statistics 2026-04-07 Maximilian Schuessler , Erik Sverdrup , Robert Tibshirani , Stefan Wager

We study a multivariate regression discontinuity design in which treatment is assigned by crossing a boundary in the space of multiple running variables. We document that the existing bandwidth selector is suboptimal for a multivariate…

Econometrics · Economics 2026-01-26 Masayuki Sawada , Takuya Ishihara , Daisuke Kurisu , Yasumasa Matsuda

The causal inference model proposed by Lee (2008) for the regression discontinuity design (RDD) relies on assumptions that imply the continuity of the density of the assignment (running) variable. The test for this implication is commonly…

Econometrics · Economics 2024-06-28 Federico Crippa

Regression discontinuity (RD) designs are a popular approach to estimating a treatment effect of cutoff-based interventions. Two current estimation approaches dominate the literature. One fits separate regressions on either side of the…

Methodology · Statistics 2025-03-10 Daryl Swartzentruber , Eloise Kaizar

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

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…

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