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Having a large number of covariates can have a negative impact on the quality of causal effect estimation since confounding adjustment becomes unreliable when the number of covariates is large relative to the samples available. Propensity…

Methodology · Statistics 2020-09-15 Debo Cheng , Jiuyong Li , Lin Liu , Jixue Liu

We discuss a class of difference-based estimators for the autocovariance in nonparametric regression when the signal is discontinuous (change-point regression), possibly highly fluctuating, and the errors form a stationary $m$-dependent…

Methodology · Statistics 2016-08-09 Inder Tecuapetla-Gómez , Axel Munk

Despite the widespread use of graphs in empirical research, little is known about readers' ability to process the statistical information they are meant to convey ("visual inference"). We study visual inference within the context of…

Econometrics · Economics 2023-01-31 Christina Korting , Carl Lieberman , Jordan Matsudaira , Zhuan Pei , Yi Shen

In this work, we consider a multivariate regression model with one-sided errors. We assume for the regression function to lie in a general H\"{o}lder class and estimate it via a nonparametric local polynomial approach that consists of…

Statistics Theory · Mathematics 2021-02-11 Leonie Selk , Charles Tillier , Orlando Marigliano

Conventionally, regression discontinuity analysis contrasts a univariate regression's limits as its independent variable, $R$, approaches a cut-point, $c$, from either side. Alternative methods target the average treatment effect in a small…

Applications · Statistics 2021-06-21 Adam C. Sales , Ben B. Hansen

The linear regression model is widely used in empirical work in Economics, Statistics, and many other disciplines. Researchers often include many covariates in their linear model specification in an attempt to control for confounders. We…

Statistics Theory · Mathematics 2017-12-12 Matias D. Cattaneo , Michael Jansson , Whitney K. Newey

RDD (Regression discontinuity design) is a widely used framework for identifying and estimating causal effects at the cutoff of a single running variable. In practice, however, decision-making often involves multiple thresholds and…

We extend the continuity-based framework to Regression Discontinuity Designs (RDDs) to identify and estimate causal effects under interference when units are connected through a network. Assignment to an "effective treatment," combining the…

Methodology · Statistics 2025-11-20 Elena Dal Torrione , Tiziano Arduini , Laura Forastiere

Comparison and contrast are the basic means to unveil causation and learn which treatments work. To build good comparison groups, randomized experimentation is key, yet often infeasible. In such non-experimental settings, we illustrate and…

Methodology · Statistics 2024-01-30 Ambarish Chattopadhyay , Jose R. Zubizarreta

Consider a researcher estimating the parameters of a regression function based on data for all 50 states in the United States or on data for all visits to a website. What is the interpretation of the estimated parameters and the standard…

Statistics Theory · Mathematics 2019-06-25 Alberto Abadie , Susan Athey , Guido W. Imbens , Jeffrey M. Wooldridge

In observational studies, the causal effect of a treatment may be confounded with variables that are related to both the treatment and the outcome of interest. In order to identify a causal effect, such studies often rely on the…

Methodology · Statistics 2017-10-17 Emma Persson , Jenny Häggström , Ingeborg Waernbaum , Xavier de Luna

Many applications of machine learning methods involve an iterative protocol in which data are collected, a model is trained, and then outputs of that model are used to choose what data to consider next. For example, one data-driven approach…

Machine Learning · Computer Science 2025-04-07 Clara Fannjiang , Stephen Bates , Anastasios N. Angelopoulos , Jennifer Listgarten , Michael I. Jordan

Difference-in-differences (DiD) identification relies mainly on a parallel trends assumption about untreated potential outcomes. Researchers often relax this assumption by assuming conditional parallel trends within units with the same…

Methodology · Statistics 2026-05-05 Daniela Rodrigues , Laura A. Hatfield

In this paper the regression discontinuity design is adapted to the survival analysis setting with right-censored data, studied in an intensity based counting process framework. In particular, a local polynomial regression version of the…

Methodology · Statistics 2022-10-07 Emil Aas Stoltenberg

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

This paper studies regression discontinuity designs (RDD) when linear-in-means spillovers occur between units that are close in their running variable. We show that the RDD estimand depends on the ratio of two terms: (1) the radius over…

Econometrics · Economics 2025-09-16 Eric Auerbach , Yong Cai , Ahnaf Rafi

In causal matching designs, some control subjects are often left unmatched, and some covariates are often left unmodeled. This article introduces "rebar," a method using high-dimensional modeling to incorporate these commonly discarded data…

Methodology · Statistics 2018-02-26 Adam C Sales , Ben B Hansen , Brian Rowan

Factorial designs are widely used in agriculture, engineering, and the social sciences to study the causal effects of several factors simultaneously on a response. The objective of such a design is to estimate all factorial effects of…

Methodology · Statistics 2015-11-09 Zach Branson , Tirthankar Dasgupta , Donald B. Rubin

This paper studies the estimation and inference for the isotonic regression at the boundary point, an object that is particularly interesting and required in the analysis of monotone regression discontinuity designs. We show that the…

Statistics Theory · Mathematics 2020-12-22 Andrii Babii , Rohit Kumar

Covariate adjustment is a commonly used method for total causal effect estimation. In recent years, graphical criteria have been developed to identify all valid adjustment sets, that is, all covariate sets that can be used for this purpose.…

Statistics Theory · Mathematics 2022-05-11 Leonard Henckel , Emilija Perković , Marloes H. Maathuis