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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

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…

Identification in a regression discontinuity (RD) research design hinges on the discontinuity in the probability of treatment when a covariate (assignment variable) exceeds a known threshold. When the assignment variable is measured with…

统计方法学 · 统计学 2016-09-07 Zhuan Pei , Yi Shen

Regression Discontinuity Design (RDD) is a popular framework for estimating a causal effect in settings where treatment is assigned if an observed covariate exceeds a fixed threshold. We consider estimation and inference in the common…

统计理论 · 数学 2025-04-16 Kevin Tao , Y. Samuel Wang , David Ruppert

It is common to conduct causal inference in matched observational studies by proceeding as though treatment assignments within matched sets are assigned uniformly at random and using this distribution as the basis for inference. This…

统计方法学 · 统计学 2023-11-14 Samuel D. Pimentel , Yaxuan Huang

This paper discusses a design-dependent nature of variance in nonparametric link regression aiming at predicting a mean outcome at a link, i.e., a pair of nodes, based on currently observed data comprising covariates at nodes and outcomes…

统计理论 · 数学 2022-10-14 Akifumi Okuno , Keisuke Yano

Robust and reliable covariance estimates play a decisive role in financial and many other applications. An important class of estimators is based on Factor models. Here, we show by extensive Monte Carlo simulations that covariance matrices…

投资组合管理 · 定量金融 2015-03-19 Daniel Bartz , Kerr Hatrick , Christian W. Hesse , Klaus-Robert Müller , Steven Lemm

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…

计量经济学 · 经济学 2025-09-03 Junho Choi

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…

统计理论 · 数学 2021-01-01 Lihua Lei , Peng Ding

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,…

统计方法学 · 统计学 2025-12-08 Antônio Carlos Herling Ribeiro Junior , Zach Branson

Regression is one of the most fundamental statistical inference problems. A broad definition of regression problems is as estimation of the distribution of an outcome using a family of probability models indexed by covariates. Despite the…

统计理论 · 数学 2023-09-26 Peter Mueller , Fernando Andrés Quintana , Garritt L. Page

We investigate how to improve efficiency using regression adjustments with covariates in covariate-adaptive randomizations (CARs) with imperfect subject compliance. Our regression-adjusted estimators, which are based on the doubly robust…

计量经济学 · 经济学 2023-06-19 Liang Jiang , Oliver B. Linton , Haihan Tang , Yichong Zhang

Covariate adjustment aims to improve the statistical efficiency of randomized trials by incorporating information from baseline covariates. Popular methods for covariate adjustment include analysis of covariance for continuous endpoints and…

统计方法学 · 统计学 2025-05-09 Zhiwei Zhang , Ya Wang , Dong Xi

Linear regression is arguably the most fundamental statistical model; however, the validity of its use in randomized clinical trials, despite being common practice, has never been crystal clear, particularly when stratified or…

统计方法学 · 统计学 2023-02-14 Wei Ma , Fuyi Tu , Hanzhong Liu

To increase statistical efficiency in a randomized experiment, researchers often use stratification (i.e., blocking) in the design stage. However, conventional practices of stratification fail to exploit valuable information about the…

统计方法学 · 统计学 2025-10-28 Zikai Li

Group sequential designs in clinical trials allow for interim efficacy and futility monitoring. Adjustment for baseline covariates can increase power and precision of estimated effects. However, inconsistently applying covariate adjustment…

统计方法学 · 统计学 2023-08-11 Marlena S. Bannick , Sonya L. Heltshe , Noah Simon

We consider covariate adjusted regression (CAR), a regression method for situations where predictors and response are observed after being distorted by a multiplicative factor. The distorting factors are unknown functions of an observable…

统计理论 · 数学 2016-08-16 Damla Şentürk , Hans-Georg Müller

Covariate adjustment can improve precision in analyzing randomized experiments. With fully observed data, regression adjustment and propensity score weighting are asymptotically equivalent in improving efficiency over unadjusted analysis.…

统计方法学 · 统计学 2024-03-06 Anqi Zhao , Peng Ding , Fan Li

In randomized experiments, regression adjustment can improve the precision of average treatment effect (ATE) estimation using covariates without requiring a correctly specified outcome model. Although well studied in low-dimensional…

统计理论 · 数学 2026-04-28 Dogyoon Song

Regression discontinuity (RD) analysis with latent variables as introduced by Morell et al. (2025), offers a useful augmentation of the conventional RD by incorporating measurement model. This approach is particularly relevant in education…

统计方法学 · 统计学 2026-04-07 Monica Morell , Youngjin Han , Muwon Kwon , Youjin Sung , Yang Liu , Ji Seung Yang