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We propose a rate optimal estimator for the linear regression model on network data with interacted (unobservable) individual effects. The estimator achieves a faster rate of convergence $N$ compared to the standard estimators' $\sqrt{N}$…

计量经济学 · 经济学 2023-04-26 Yassine Sbai Sassi

Regression adjustments are often made to experimental data. Since randomization does not justify the models, bias is likely; nor are the usual variance calculations to be trusted. Here, we evaluate regression adjustments using Neyman's…

应用统计 · 统计学 2008-12-18 David A. Freedman

The purpose of this paper is to propose methodologies for statistical inference of low-dimensional parameters with high-dimensional data. We focus on constructing confidence intervals for individual coefficients and linear combinations of…

统计方法学 · 统计学 2012-11-05 Cun-Hui Zhang , Stephanie S. Zhang

Additive regression models are actively researched in the statistical field because of their usefulness in the analysis of responses determined by non-linear relationships with multivariate predictors. In this kind of statistical models,…

统计方法学 · 统计学 2018-04-10 German A. Schnaidt Grez , Brani Vidakovic

Randomized control trials (RCTs) are the gold standard for estimating causal effects, but often use samples that are non-representative of the actual population of interest. We propose a reweighting method for estimating population average…

统计方法学 · 统计学 2022-02-09 Kellie Ottoboni , Jason Poulos

The linear regression model is widely used in the biomedical and social sciences as well as in policy and business research to adjust for covariates and estimate the average effects of treatments. Behind every causal inference endeavor…

统计方法学 · 统计学 2024-04-23 Ambarish Chattopadhyay , Noah Greifer , Jose R. Zubizarreta

Uncertainty in estimating the log-law parameters is arguably the greatest obstacle to establishing definitive conclusions regarding their numerical values and universality. This challenge is exacerbated by the limited number of studies that…

流体动力学 · 物理学 2026-04-15 M. Aguiar Ferreira , B. Ganapathisubramani

Linear regression with normally distributed errors - including particular cases such as ANOVA, Student's t-test or location-scale inference - is a widely used statistical procedure. In this case the ordinary least squares estimator…

统计方法学 · 统计学 2019-09-18 Alain Desgagné

This paper introduces tools for assessing the sensitivity, to unobserved confounding, of a common estimator of the causal effect of a treatment on an outcome that employs weights: the weighted linear regression of the outcome on the…

统计方法学 · 统计学 2025-08-06 Leonard Wainstein , Chad Hazlett

Weighting procedures are used in observational causal inference to adjust for covariate imbalance within the sample. Common practice for inference is to estimate robust standard errors from a weighted regression of outcome on treatment.…

统计方法学 · 统计学 2025-07-29 Erin Hartman , Chad Hazlett , Arisa Sadeghpour

Reliable uncertainty quantification is a central challenge in the analysis of modern biomedical data, where complex sources of variability often violate standard modeling assumptions. In generalized linear models (GLMs), confidence…

统计方法学 · 统计学 2026-05-06 Andrea Panarotto , Riccardo De Santis , Livio Finos

When analyzing data from randomized clinical trials, covariate adjustment can be used to account for chance imbalance in baseline covariates and to increase precision of the treatment effect estimate. A practical barrier to covariate…

统计方法学 · 统计学 2023-07-04 Chia-Rui Chang , Yue Song , Fan Li , Rui Wang

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

Statistical power is often a concern for clustered RCTs due to variance inflation from design effects and the high cost of adding study clusters (such as hospitals, schools, or communities). While covariate pre-specification is the…

统计方法学 · 统计学 2020-05-07 Peter Z. Schochet

This paper studies inference in randomized controlled trials with covariate-adaptive randomization when there are multiple treatments. More specifically, we study inference about the average effect of one or more treatments relative to…

计量经济学 · 经济学 2019-01-21 Federico A. Bugni , Ivan A. Canay , Azeem M. Shaikh

When studying the causal effect of $x$ on $y$, researchers may conduct regression and report a confidence interval for the slope coefficient $\beta_{x}$. This common confidence interval provides an assessment of uncertainty from sampling…

统计方法学 · 统计学 2019-08-26 Brian Knaeble , Braxton Osting , Mark Abramson

We study nonasymptotic (finite-sample) confidence intervals for treatment effects in randomized experiments. In the existing literature, the effective sample sizes of nonasymptotic confidence intervals tend to be looser than the…

Many estimators of the average effect of a treatment on an outcome require estimation of the propensity score, the outcome regression, or both. It is often beneficial to utilize flexible techniques such as semiparametric regression or…

统计方法学 · 统计学 2019-05-14 Cheng Ju , David Benkeser , Mark J. van der Laan

In a completely randomized experiment, the variances of treatment effect estimators in the finite population are usually not identifiable and hence not estimable. Although some estimable bounds of the variances have been established in the…

统计理论 · 数学 2022-09-20 Ruoyu Wang , Qihua Wang , Wang Miao , Xiaohua Zhou

In conventional randomized controlled trials, adjustment for baseline values of covariates known to be at least moderately associated with the outcome increases the power of the trial. Recent work has shown particular benefit for more…

统计方法学 · 统计学 2023-11-27 James Willard , Shirin Golchi , Erica EM Moodie