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We address a classical problem in statistics: adding two-way interaction terms to a regression model. As the covariate dimension increases quadratically, we develop an estimator that adapts well to this increase, while providing accurate…

Methodology · Statistics 2023-09-26 Mark A. van de Wiel , Matteo Amestoy , Jeroen Hoogland

Randomization is a basis for the statistical inference of treatment effects without strong assumptions on the outcome-generating process. Appropriately using covariates further yields more precise estimators in randomized experiments. R. A.…

Statistics Theory · Mathematics 2020-01-03 Xinran Li , Peng Ding

Covariate-adaptive randomization is widely employed to balance baseline covariates in interventional studies such as clinical trials and experiments in development economics. Recent years have witnessed substantial progress in inference…

Methodology · Statistics 2024-05-30 Jiahui Xin , Hanzhong Liu , Wei Ma

When estimating causal effects from observational studies, researchers often need to adjust for many covariates to deconfound the non-causal relationship between exposure and outcome, among which many covariates are discrete. The behavior…

Statistics Theory · Mathematics 2024-05-07 Zhenghao Zeng , Sivaraman Balakrishnan , Yanjun Han , Edward H. Kennedy

Survival regression is widely used to model time-to-events data, to explore how covariates may influence the occurrence of events. Modern datasets often encompass a vast number of covariates across many subjects, with only a subset of the…

Methodology · Statistics 2024-09-18 Abhishek Mandal , Abhisek Chakraborty

Improvements in technology lead to increasing availability of large data sets which makes the need for data reduction and informative subsamples ever more important. In this paper we construct $ D $-optimal subsampling designs for…

Statistics Theory · Mathematics 2023-02-28 Torsten Reuter , Rainer Schwabe

Regression discontinuity design (RDD) is a quasi-experimental approach to study the causal effects of an intervention/treatment on later health outcomes. It exploits a continuously measured assignment variable with a clearly defined cut-off…

Applications · Statistics 2024-06-28 Maja Popovic , Daniela Zugna , Lorenzo Richiardi

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…

Econometrics · Economics 2025-10-01 Sung Jae Jun , Sokbae Lee

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

Selecting input variables or design points for statistical models has been of great interest in adaptive design and active learning. Motivated by two scientific examples, this paper presents a strategy of selecting the design points for a…

Machine Learning · Statistics 2021-02-12 Chiwoo Park , Peihua Qiu , Jennifer Carpena-Núñez , Rahul Rao , Michael Susner , Benji Maruyama

Fitting linear regression models can be computationally very expensive in large-scale data analysis tasks if the sample size and the number of variables are very large. Random projections are extensively used as a dimension reduction tool…

Statistics Theory · Mathematics 2017-01-20 Gian-Andrea Thanei , Christina Heinze , Nicolai Meinshausen

Traditional methods for covariate adjustment of treatment means in designed experiments are inherently conditional on the observed covariate values. In order to develop a coherent general methodology for analysis of covariance, we propose a…

Methodology · Statistics 2010-01-19 James G. Booth , Walter T. Federer , Martin T. Wells , Russell D. Wolfinger

Randomized experiments have become important tools in empirical research. In a completely randomized treatment-control experiment, the simple difference in means of the outcome is unbiased for the average treatment effect, and covariate…

Statistics Theory · Mathematics 2021-01-01 Lihua Lei , Peng Ding

Multiple randomization designs (MRDs) are a class of experimental designs used to handle interference in two-sided marketplaces. We investigate regression adjustment strategies for estimating total, spillover, and direct effects in MRDs. We…

Methodology · Statistics 2026-03-23 Timothy Sudijono , Lihua Lei , Lorenzo Masoero , Suhas Vijaykumar , Guido Imbens , James McQueen

In non-experimental settings, the Regression Discontinuity (RD) design is one of the most credible identification strategies for program evaluation and causal inference. However, RD treatment effect estimands are necessarily local, making…

Econometrics · Economics 2020-04-02 Matias D. Cattaneo , Luke Keele , Rocio Titiunik , Gonzalo Vazquez-Bare

We consider the problem of estimating and inferring treatment effects in randomized experiments. In practice, stratified randomization, or more generally, covariate-adaptive randomization, is routinely used in the design stage to balance…

Methodology · Statistics 2022-09-27 Hanzhong Liu , Fuyi Tu , Wei Ma

Rerandomization is a modern experimental design technique that repeatedly randomizes treatment assignments until covariates are deemed balanced between treatment groups. This enhances the precision and coherence of causal effect estimators,…

Methodology · Statistics 2025-12-08 Antônio Carlos Herling Ribeiro Junior , Zach Branson

The "design phase" refers to a stage in observational studies, during which a researcher constructs a subsample that achieves a better balance in covariate distributions between the treated and untreated units. In this paper, we study the…

Econometrics · Economics 2025-09-03 Junho Choi

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…

Methodology · Statistics 2019-11-22 Sida Peng , Yang Ning

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