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Analyses of randomised trials are often based on regression models which adjust for baseline covariates, in addition to randomised group. Based on such models, one can obtain estimates of the marginal mean outcome for the population under…

Methodology · Statistics 2017-07-17 Jonathan W. Bartlett

In randomized controlled trials without interference, regression adjustment is widely used to enhance the efficiency of treatment effect estimation. This paper extends this efficiency principle to settings with network interference, where a…

Methodology · Statistics 2025-02-18 Xinyuan Fan , Chenlei Leng , Weichi Wu

This article introduces a leave-one-out regression adjustment (LOORA) for estimating average treatment effects in randomized controlled trials. In finite samples, LOORA removes the bias of conventional regression adjustment and yields exact…

Econometrics · Economics 2026-05-08 Alberto Abadie , Mehrdad Ghadiri , Ali Jadbabaie , Mahyar JafariNodeh

Heavy-tailed error distributions and predictors with anomalous values are ubiquitous in high-dimensional regression problems and can seriously jeopardize the validity of statistical analyses if not properly addressed. For more reliable…

Methodology · Statistics 2024-09-20 David Kepplinger

Restricted maximum likelihood (REML) estimation is a widely accepted and frequently used method for fitting linear mixed models, with its principal advantage being that it produces less biased estimates of the variance components. However,…

Methodology · Statistics 2025-05-15 Luca Maestrini , Francis K. C. Hui , Alan H. Welsh

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…

Methodology · Statistics 2019-05-14 Cheng Ju , David Benkeser , Mark J. van der Laan

This article considers a linear model in a high dimensional data scenario. We propose a process which uses multiple loss functions both to select relevant predictors and to estimate parameters, and study its asymptotic properties. Variable…

Methodology · Statistics 2020-07-01 Guorong Dai , Ursula U. Müller

Our paper discovers a new trade-off of using regression adjustments (RAs) in causal inference under covariate-adaptive randomizations (CARs). On one hand, RAs can improve the efficiency of causal estimators by incorporating information from…

Econometrics · Economics 2025-02-19 Liang Jiang , Liyao Li , Ke Miao , Yichong Zhang

Randomized experiments are the gold standard for causal inference, and justify simple comparisons across treatment groups. Regression adjustment provides a convenient way to incorporate covariate information for additional efficiency. This…

Methodology · Statistics 2022-10-25 Anqi Zhao , Peng Ding

We present and analyze an algorithm designed for addressing vector-valued regression problems involving possibly infinite-dimensional input and output spaces. The algorithm is a randomized adaptation of reduced rank regression, a technique…

Machine Learning · Computer Science 2024-01-01 Giacomo Turri , Vladimir Kostic , Pietro Novelli , Massimiliano Pontil

When conducting a randomized controlled trial, it is common to specify in advance the statistical analyses that will be used to analyze the data. Typically these analyses will involve adjusting for small imbalances in baseline covariates.…

Applications · Statistics 2017-08-04 Edward Wu , Johann Gagnon-Bartsch

In high-dimensional multivariate regression problems, enforcing low rank in the coefficient matrix offers effective dimension reduction, which greatly facilitates parameter estimation and model interpretation. However, commonly-used…

Statistics Theory · Mathematics 2017-07-18 Yiyuan She , Kun Chen

The processes of the averaged regression quantiles and of their modifications provide useful tools in the regression models when the covariates are not fully under our control. As an application we mention the probabilistic risk assessment…

Statistics Theory · Mathematics 2017-10-19 Jana Jurečková , Martin Schindler , Jan Picek

\noindent Randomized nomination sampling (RNS) is a rank-based sampling technique which has been shown to be effective in several nonparametric studies involving environmental and ecological applications. In this paper, we investigate…

Methodology · Statistics 2015-12-18 Mohammad Nourmohammadi , Mohammad Jafari Jozani , Brad Johnson

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…

Methodology · Statistics 2023-02-14 Wei Ma , Fuyi Tu , Hanzhong Liu

In system identification, estimating parameters of a model using limited observations results in poor identifiability. To cope with this issue, we propose a new method to simultaneously select and estimate sensitive parameters as key model…

We propose an approach to better inform treatment decisions at an individual level by adapting recent advances in average treatment effect estimation to conditional average treatment effect estimation. Our work is based on doubly robust…

Methodology · Statistics 2023-06-13 Aaron Fisher , Virginia Fisher

In healthcare applications, predictive uncertainty has been used to assess predictive accuracy. In this paper, we demonstrate that predictive uncertainty estimated by the current methods does not highly correlate with prediction error by…

Machine Learning · Computer Science 2021-07-08 Shi Hu , Nicola Pezzotti , Max Welling

We study the problem of treatment effect estimation in randomized experiments with high-dimensional covariate information, and show that essentially any risk-consistent regression adjustment can be used to obtain efficient estimates of the…

Methodology · Statistics 2022-06-08 Stefan Wager , Wenfei Du , Jonathan Taylor , Robert Tibshirani

While matrix variate regression models have been studied in many existing works, classical statistical and computational methods for the analysis of the regression coefficient estimation are highly affected by high dimensional and noisy…

Machine Learning · Statistics 2022-05-17 Hsin-Hsiung Huang , Feng Yu , Xing Fan , Teng Zhang