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Related papers: Regression Discontinuity Design with Spillovers

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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

In this paper, we address the issue of estimating and inferring distributional treatment effects in randomized experiments. The distributional treatment effect provides a more comprehensive understanding of treatment heterogeneity compared…

Econometrics · Economics 2025-01-15 Tatsushi Oka , Shota Yasui , Yuta Hayakawa , Undral Byambadalai

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

In the regression discontinuity design (RDD), it is common practice to assess the credibility of the design by testing the continuity of the density of the running variable at the cut-off, e.g., McCrary (2008). In this paper we propose an…

Econometrics · Economics 2020-02-13 Federico A. Bugni , Ivan A. Canay

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…

Applications · Statistics 2018-07-13 Maxime Rischard , Zach Branson , Luke Miratrix , Luke Bornn

Randomized experiments have become a standard tool in economics. In analyzing randomized experiments, the traditional approach has been based on the Stable Unit Treatment Value (SUTVA: \cite{rubin}) assumption which dictates that there is…

Econometrics · Economics 2020-12-29 Bora Kim

Traditional methods for linear regression generally assume that the underlying error distribution, equivalently the distribution of the responses, is normal. Yet, sometimes real life response data may exhibit a skewed pattern, and assuming…

Methodology · Statistics 2025-01-07 Amarnath Nandy , Ayanendranath Basu , Abhik Ghosh

Standard regression adjustment gives inconsistent estimates of causal effects when there are time-varying treatment effects and time-varying covariates. Loosely speaking, the issue is that some covariates are post-treatment variables…

Methodology · Statistics 2024-03-12 Stephen Bates , Edward Kennedy , Robert Tibshirani , Valerie Ventura , Larry Wasserman

This monograph, together with its accompanying first part Cattaneo, Idrobo and Titiunik (2020), collects and expands the instructional materials we prepared for more than $50$ short courses and workshops on Regression Discontinuity (RD)…

Methodology · Statistics 2024-03-27 Matias D. Cattaneo , Nicolas Idrobo , Rocio Titiunik

The practical importance of inference with robustness against large bandwidths for causal effects in regression discontinuity and kink designs is widely recognized. Existing robust methods cover many cases, but do not handle uniform…

Methodology · Statistics 2019-02-26 Harold D. Chiang , Yu-Chin Hsu , Yuya Sasaki

An investigation of the effect of surface diffusion in random deposition model is made by analytical methods and reasoning. For any given site, the extent to which a particle can diffuse is decided by the morphology in the immediate…

Soft Condensed Matter · Physics 2011-12-14 Baisakhi Mal , Subhankar Ray , J. Shamanna

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…

Econometrics · Economics 2022-07-19 Haitian Xie

In causal inference, interference occurs when the treatment of one unit may affect the outcomes of other units. The goal of this work is to serve as a guide to the use of linear outcome modeling for estimating causal effects in settings…

Methodology · Statistics 2026-04-01 Eric Tong , Salvador V. Balkus

To report spillover effects, a common practice is to regress outcomes on statistics summarizing neighbors' treatments. This paper studies nonparametric analogs of these estimands, which we refer to as exposure contrasts. We demonstrate that…

Econometrics · Economics 2025-12-10 Michael P. Leung

Empirical regression discontinuity (RD) studies often include covariates in their specifications to increase the precision of their estimates. In this paper, we propose a novel class of estimators that use such covariate information more…

Econometrics · Economics 2025-04-28 Claudia Noack , Tomasz Olma , Christoph Rothe

We study nonparametric distance-based (isotropic) local polynomial methods for estimating the boundary average treatment effect curve, a causal functional that captures treatment effect heterogeneity in boundary discontinuity designs. We…

Econometrics · Economics 2026-05-26 Matias D. Cattaneo , Rocio Titiunik , Ruiqi Rae Yu

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…

Methodology · Statistics 2019-02-01 Zach Branson , Maxime Rischard , Luke Bornn , Luke Miratrix

We study estimation of and inference for the average causal effect of treating every member of a population, as opposed to none, using an experiment that treats only some. Considering settings where spillovers can occur between any pair of…

Econometrics · Economics 2026-01-29 Stefan Faridani , Paul Niehaus

In longitudinal studies where units are embedded in space or a social network, interference may arise, meaning that a unit's outcome can depend on treatment histories of others. The presence of interference poses significant challenges for…

Methodology · Statistics 2025-08-26 Ye Wang , Michael Jetsupphasuk

We revisit the sequential variants of linear regression with the squared loss, classification problems with hinge loss, and logistic regression, all characterized by unbounded losses in the setup where no assumptions are made on the…

Machine Learning · Statistics 2025-09-08 Jian Qian , Alexander Rakhlin , Nikita Zhivotovskiy