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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…

统计方法学 · 统计学 2024-07-23 Daryl Swartzentruber , Eloise Kaizar

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…

机器学习 · 统计学 2026-04-07 Maximilian Schuessler , Erik Sverdrup , Robert Tibshirani , Stefan Wager

We present simple low-level conditions for identification in regression discontinuity designs using a potential outcome framework for the manipulation of the running variable. Using this framework, we replace the existing identification…

计量经济学 · 经济学 2024-09-18 Takuya Ishihara , Masayuki Sawada

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…

计量经济学 · 经济学 2022-02-25 Matias D. Cattaneo , Rocio Titiunik

We present new families of goodness-of-fit tests of uniformity on a full-dimensional set $W\subset\R^d$ based on statistics related to edge lengths of random geometric graphs. Asymptotic normality of these statistics is proven under the…

统计理论 · 数学 2020-07-20 Bruno Ebner , Franz Nestmann , Matthias Schulte

Regression discontinuity (RD) designs with multiple running variables arise in a growing number of empirical applications, including geographic boundaries and multi-score assignment rules. Although recent methodological work has extended…

计量经济学 · 经济学 2026-02-04 Artem Samiahulin

The Regression Discontinuity (RD) design is a quasi-experimental design which emulates a randomised study by exploiting situations where treatment is assigned according to a continuous variable as is common in many drug treatment…

统计方法学 · 统计学 2016-07-28 Sara Geneletti , Federico Ricciardi , Aidan O'Keeffe , Gianluca Baio

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

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…

统计方法学 · 统计学 2025-04-01 Dean Eckles , Nikolaos Ignatiadis , Stefan Wager , Han Wu

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…

计量经济学 · 经济学 2026-03-20 Claudia Noack , Tomasz Olma , Christoph Rothe

This paper is to prove the asymptotic normality of a statistic for detecting the existence of heteroscedasticity for linear regression models without assuming randomness of covariates when the sample size $n$ tends to infinity and the…

统计理论 · 数学 2018-06-11 Zhidong Bai , Guangming Pan , Yanqing Yin

Many policies hinge on a continuous variable exceeding a threshold, prompting strategic behavior by agents to stay on the favorable side. This creates density discontinuities at cutoffs, evident in contexts like taxable income, corporate…

统计方法学 · 统计学 2025-07-09 Surya T Tokdar , Rik Sen , Haoliang Zheng , Shuangjie Zhang

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

This paper studies the validity of nonparametric tests used in the regression discontinuity design. The null hypothesis of interest is that the average treatment effect at the threshold in the so-called sharp design equals a pre-specified…

统计方法学 · 统计学 2016-11-16 Vishal Kamat

Discontinuity in density functions is of economic importance and interest. For instance, in studies on regression discontinuity designs, discontinuity in the density of a running variable suggests violation of the no-manipulation…

统计理论 · 数学 2016-08-02 Benedikt Funke , Masayuki Hirukawa

The regression discontinuity design (RDD) is a quasi-experimental design that can be used to identify and estimate the causal effect of a treatment using observational data. In an RDD, a pre-specified rule is used for treatment assignment,…

统计方法学 · 统计学 2016-01-05 Panayiota Constantinou , Aidan G. O'Keeffe

This paper provides a formal econometric framework behind the newly developed difference-in-discontinuities design (DiDC). Despite its increasing use in applied research, there are currently limited studies of its properties. We formalize…

计量经济学 · 经济学 2026-01-28 Pedro Picchetti , Cristine C. X. Pinto , Stephanie T. Shinoki

A variety of statistics based on sample spacings has been studied in the literature for testing goodness-of-fit to parametric distributions. To test the goodness-of-fit to a nonparametric class of univariate shape-constrained densities,…

统计理论 · 数学 2024-10-28 Kwun Chuen Gary Chan , Hok Kan Ling , Chuan-Fa Tang , Sheung Chi Phillip Yam

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…

计量经济学 · 经济学 2020-12-01 Koohyun Kwon , Soonwoo Kwon

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…

计量经济学 · 经济学 2025-01-28 Masahiro Kato
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