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Covariate adjustment is an important tool in the analysis of randomized clinical trials and observational studies. It can be used to increase efficiency and thus power, and to reduce possible bias. While most statistical tests in randomized…

统计方法学 · 统计学 2011-08-03 Xiaoru Wu , Zhiliang Ying

For estimating the large covariance matrix with a limited sample size, we propose the covariance model with general linear structure (CMGL) by employing the general link function to connect the covariance of the continuous response vector…

统计方法学 · 统计学 2022-05-17 Xinyan Fan , Wei Lan , Tao Zou , Chih-Ling Tsai

In most nonrandomized observational studies, differences between treatment groups may arise not only due to the treatment but also because of the effect of confounders. Therefore, causal inference regarding the treatment effect is not as…

统计方法学 · 统计学 2018-07-04 Debashis Ghosh

Misspecified models often provide useful information about the true data generating distribution. For example, if $y$ is a non-linear function of $x$ the least squares estimator $\hat{\beta}$ is an estimate of $\beta$, the slope of the best…

统计方法学 · 统计学 2017-05-17 James P. Long

We develop a framework for quantifying omitted variable bias (OVB) in nonlinear instrumental variable (IV) estimators, including the local average treatment effect (LATE), the LATE for the treated (LATT), and the partially linear IV model…

计量经济学 · 经济学 2026-04-07 Yu-Min Yen

Overparameterization in deep learning is powerful: Very large models fit the training data perfectly and yet often generalize well. This realization brought back the study of linear models for regression, including ordinary least squares…

机器学习 · 统计学 2022-04-07 Ningyuan Huang , David W. Hogg , Soledad Villar

The average treatment effect (ATE), the mean difference in potential outcomes under treatment and control, is a canonical causal effect. Overlap, which says that all subjects have non-zero probability of either treatment status, is…

统计方法学 · 统计学 2026-05-14 Herbert P. Susmann , Alec McClean , Iván Díaz

This paper investigates estimation and inference for average treatment effects in completely randomized experiments when researchers observe potentially many covariates. Within Neyman's (1923) design-based framework, allowing the number of…

计量经济学 · 经济学 2025-11-20 Harold D Chiang , Yukitoshi Matsushita , Taisuke Otsu

Standard estimators of the global average treatment effect can be biased in the presence of interference. This paper proposes regression adjustment estimators for removing bias due to interference in Bernoulli randomized experiments. We use…

统计方法学 · 统计学 2019-03-06 Alex Chin

This paper proposes a method for estimating multiple change points in panel data models with unobserved individual effects via ordinary least-squares (OLS). Typically, in this setting, the OLS slope estimators are inconsistent due to the…

计量经济学 · 经济学 2018-08-10 Otilia Boldea , Bettina Drepper , Zhuojiong Gan

This letter deals with a very simple issue: if we have grouped data with a binary dependent variable and want to include fixed effects (group specific intercepts) in the specification, is Ordinary Least Squares (OLS) in any way superior to…

应用统计 · 统计学 2018-10-30 Nathaniel Beck

This article proposes a novel estimator for regression coefficients in clustered data that explicitly accounts for within-cluster dependence. We study the asymptotic properties of the proposed estimator under both finite and infinite…

统计方法学 · 统计学 2026-02-05 Subhodeep Dey , Gopal K. Basak , Samarjit Das

Linear regression is arguably the most widely used statistical method. With fixed regressors and correlated errors, the conventional wisdom is to modify the variance-covariance estimator to accommodate the known correlation structure of the…

统计理论 · 数学 2024-10-11 Zifeng Zhang , Peng Ding , Wen Zhou , Haonan Wang

Covariate adjustment has the potential to increase power in the analysis of randomised trials, but mis-specification of the adjustment model could cause error. We explore what error is possible when the adjustment model omits a covariate by…

统计方法学 · 统计学 2021-07-16 Ian R. White , Tim P Morris , Elizabeth Williamson

The estimation of causal treatment effects from observational data is a fundamental problem in causal inference. To avoid bias, the effect estimator must control for all confounders. Hence practitioners often collect data for as many…

机器学习 · 统计学 2020-11-05 Kristjan Greenewald , Dmitriy Katz-Rogozhnikov , Karthik Shanmugam

We study the estimation of distributional treatment effects in randomized experiments with imperfect compliance. When participants do not adhere to their assigned treatments, we leverage treatment assignment as an instrumental variable to…

统计方法学 · 统计学 2025-10-28 Undral Byambadalai , Tomu Hirata , Tatsushi Oka , Shota Yasui

Regression calibration as developed by Rosner, Spiegelman and Willet is used to correct the bias in effect estimates due to measurement error in continuous exposures. The method involves two models: a measurement error model (MEM) relating…

统计方法学 · 统计学 2026-02-24 Wenze Tang , Donna Spiegelman , Xiaomei Liao , Molin Wang

In randomized clinical trials, adjustments for baseline covariates at both design and analysis stages are highly encouraged by regulatory agencies. A recent trend is to use a model-assisted approach for covariate adjustment to gain…

统计方法学 · 统计学 2021-07-14 Ting Ye , Jun Shao , Yanyao Yi , Qingyuan Zhao

We re-investigate the asymptotic properties of the traditional OLS (pooled) estimator, $\hat{\beta} _P$, in the context of cluster dependence. The present study considers various scenarios under various restrictions on the cluster sizes and…

统计方法学 · 统计学 2025-01-31 Subhodeep Dey , Gopal K. Basak , Samarjit Das

We consider learning methods based on the regularization of a convex empirical risk by a squared Hilbertian norm, a setting that includes linear predictors and non-linear predictors through positive-definite kernels. In order to go beyond…

机器学习 · 计算机科学 2019-06-19 Ulysse Marteau-Ferey , Dmitrii Ostrovskii , Francis Bach , Alessandro Rudi