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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…

统计方法学 · 统计学 2025-06-24 Daisuke Kurisu , Yidong Zhou , Taisuke Otsu , Hans-Georg Müller

Most research on regression discontinuity designs (RDDs) has focused on univariate cases, where only those units with a "forcing" variable on one side of a threshold value receive a treatment. Geographical regression discontinuity designs…

应用统计 · 统计学 2018-07-13 Maxime Rischard , Zach Branson , Luke Miratrix , Luke Bornn

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…

计量经济学 · 经济学 2026-01-21 Yoichi Arai , Taisuke Otsu , Myung Hwan Seo

Many empirical examples of regression discontinuity (RD) designs concern a continuous treatment variable, but the theoretical aspects of such models are less studied. This study examines the identification and estimation of the structural…

计量经济学 · 经济学 2022-07-19 Haitian Xie

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…

计量经济学 · 经济学 2025-10-13 Eugenio Felipe Merlano

In Regression Discontinuity (RD) design, self-selection leads to different distributions of covariates on two sides of the policy intervention, which essentially violates the continuity of potential outcome assumption. The standard RD…

统计方法学 · 统计学 2019-11-22 Sida Peng , Yang Ning

This article introduces Regression Discontinuity Design (RDD) with Distribution-Valued Outcomes (R3D), extending the standard RDD framework to settings where the outcome is a distribution rather than a scalar. Such settings arise when…

计量经济学 · 经济学 2025-04-08 David Van Dijcke

Substantial advances in Bayesian methods for causal inference have been developed in recent years. We provide an introduction to Bayesian inference for causal effects for practicing statisticians who have some familiarity with Bayesian…

统计方法学 · 统计学 2023-12-12 Arman Oganisian , Jason A. Roy

We consider heteroscedastic nonparametric regression models, when both the mean function and variance function are unknown and to be estimated with nonparametric approaches. We derive convergence rates of posterior distributions for this…

统计理论 · 数学 2010-10-07 Yuao Hu

One of the most popular methodologies for estimating the average treatment effect at the threshold in a regression discontinuity design is local linear regression (LLR), which places larger weight on units closer to the threshold. We…

统计方法学 · 统计学 2019-02-01 Zach Branson , Maxime Rischard , Luke Bornn , Luke Miratrix

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…

统计方法学 · 统计学 2020-06-23 Fan Li , Andrea Mercatanti , Taneli Makinen , Andrea Silvestrini

Regression discontinuity designs are frequently used to estimate the causal effect of election outcomes and policy interventions. In these contexts, treatment effects are typically estimated with covariates included to improve efficiency.…

应用统计 · 统计学 2020-05-06 L. Jason Anastasopoulos

The regression discontinuity (RD) design offers identification of causal effects under weak assumptions, earning it a position as a standard method in modern political science research. But identification does not necessarily imply that…

统计方法学 · 统计学 2023-03-14 Drew Stommes , P. M. Aronow , Fredrik Sävje

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…

统计方法学 · 统计学 2022-08-25 Matias D. Cattaneo , Luke Keele , 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…

统计方法学 · 统计学 2023-05-17 Matias D. Cattaneo , Luke Keele , Rocio Titiunik

We develop a framework for identifying and estimating persuasion effects in regression discontinuity (RD) designs. The RD persuasion rate measures the probability that individuals at the threshold would take the action if exposed to a…

计量经济学 · 经济学 2025-10-01 Sung Jae Jun , Sokbae Lee

We study identification and estimation in the Regression Discontinuity Design (RDD) with a multivalued treatment variable. We also allow for the inclusion of covariates. We show that without additional information, treatment effects are not…

计量经济学 · 经济学 2020-07-02 Carolina Caetano , Gregorio Caetano , Juan Carlos Escanciano

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…

计量经济学 · 经济学 2025-07-08 Sebastian Calonico , Matias D. Cattaneo , Max H. Farrell , Filippo Palomba , Rocio Titiunik

Empirical likelihood serves as a powerful tool for constructing confidence intervals in nonparametric regression and regression discontinuity designs (RDD). The original empirical likelihood framework can be naturally extended to these…

统计理论 · 数学 2025-04-03 Qin Fang , Shaojun Guo , Yang Hong , Xinghao Qiao

This paper develops a Bayesian framework for robust causal inference from longitudinal observational data. Many contemporary methods rely on structural assumptions, such as factor models, to adjust for unobserved confounding, but they can…

统计方法学 · 统计学 2025-11-20 Angelos Alexopoulos , Nikolaos Demiris