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Linear discriminant analysis is a widely used method for classification. However, the high dimensionality of predictors combined with small sample sizes often results in large classification errors. To address this challenge, it is crucial…

Machine Learning · Statistics 2025-01-09 Hongzhe Zhang , Arnab Auddy , Hongzhe Lee

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…

Methodology · Statistics 2021-07-14 Ting Ye , Jun Shao , Yanyao Yi , Qingyuan Zhao

Efficiently and flexibly estimating treatment effect heterogeneity is an important task in a wide variety of settings ranging from medicine to marketing, and there are a considerable number of promising conditional average treatment effect…

Machine Learning · Statistics 2023-05-10 Erik Sverdrup , Yifan Cui

Baseline covariates in randomized experiments are often used in the estimation of treatment effects, for example, when estimating treatment effects within covariate-defined subgroups. In practice, however, covariate values may be missing…

Methodology · Statistics 2023-08-29 Gauri Kamat , Jerome P. Reiter

Given n experiment subjects with potentially heterogeneous covariates and two possible treatments, namely active treatment and control, this paper addresses the fundamental question of determining the optimal accuracy in estimating the…

Machine Learning · Statistics 2024-11-13 Jiachun Li , David Simchi-Levi , Yunxiao Zhao

When studying treatment effects in multilevel studies, investigators commonly use (semi-)parametric estimators, which make strong parametric assumptions about the outcome, the treatment, and/or the correlation structure between study units…

Methodology · Statistics 2022-05-12 Chan Park , Hyunseung Kang

The Average Treatment Effect (ATE) is a global measure of the effectiveness of an experimental treatment intervention. Classical methods of its estimation either ignore relevant covariates or do not fully exploit them. Moreover, past work…

Methodology · Statistics 2013-11-05 Emil Pitkin , Richard Berk , Lawrence Brown , Andreas Buja , Ed George , Kai Zhang , Linda Zhao

Experimentation is widely utilized for causal inference and data-driven decision-making across disciplines. In an A/B experiment, for example, an online business randomizes two different treatments (e.g., website designs) to their customers…

Methodology · Statistics 2025-01-15 Wenxuan Guo , JungHo Lee , Panos Toulis

Instrumental variable methods have been widely used to identify causal effects in the presence of unmeasured confounding. A key identification condition known as the exclusion restriction states that the instrument cannot have a direct…

Methodology · Statistics 2022-08-05 Baoluo Sun , Yifan Cui , Eric Tchetgen Tchetgen

Measuring treatment effects in observational studies is challenging because of confounding bias. Confounding occurs when a variable affects both the treatment and the outcome. Traditional methods such as propensity score matching estimate…

Methodology · Statistics 2021-12-23 Bevan I. Smith , Charles Chimedza

Classical randomized experiments, equipped with randomization-based inference, provide assumption-free inference for treatment effects. They have been the gold standard for drawing causal inference and provide excellent internal validity.…

Methodology · Statistics 2021-09-22 Zihao Yang , Tianyi Qu , Xinran Li

There is intense interest in applying machine learning to problems of causal inference in fields such as healthcare, economics and education. In particular, individual-level causal inference has important applications such as precision…

Machine Learning · Statistics 2017-05-17 Uri Shalit , Fredrik D. Johansson , David Sontag

This paper considers the problem of design-based inference for the average treatment effect in finely stratified experiments. Here, by "design-based'' we mean that the only source of uncertainty stems from the randomness in treatment…

Econometrics · Economics 2025-05-08 Yuehao Bai , Xun Huang , Joseph P. Romano , Azeem M. Shaikh , Max Tabord-Meehan

We develop a Gaussian-process mixture model for heterogeneous treatment effect estimation that leverages the use of transformed outcomes. The approach we will present attempts to improve point estimation and uncertainty quantification…

Methodology · Statistics 2018-12-19 Abbas Zaidi , Sayan Mukherjee

Balancing influential covariates is crucial for valid treatment comparisons in clinical studies. While covariate-adaptive randomization is commonly used to achieve balance, its performance can be inadequate when the number of baseline…

Methodology · Statistics 2024-12-30 Ziqing Guo , Yang Liu , Lucy Xia

Controlled experiments are widely used in many applications to investigate the causal relationship between input factors and experimental outcomes. A completely randomized design is usually used to randomly assign treatment levels to…

Methodology · Statistics 2026-05-12 Yiou Li , Lulu Kang , Xiao Huang

We consider the estimation of average treatment effects in observational studies and propose a new framework of robust causal inference with unobserved confounders. Our approach is based on distributionally robust optimization and proceeds…

Methodology · Statistics 2023-02-06 Dimitris Bertsimas , Kosuke Imai , Michael Lingzhi Li

There are many settings where researchers are interested in estimating average treatment effects and are willing to rely on the unconfoundedness assumption, which requires that the treatment assignment be as good as random conditional on…

Methodology · Statistics 2018-02-02 Susan Athey , Guido W. Imbens , Stefan Wager

We consider the problem of how to assign treatment in a randomized experiment, in which the correlation among the outcomes is informed by a network available pre-intervention. Working within the potential outcome causal framework, we…

Methodology · Statistics 2017-05-19 Guillaume W. Basse , Edoardo M. Airoldi

Randomized controlled trials (RCTs) are the accepted standard for treatment effect estimation but they can be infeasible due to ethical reasons and prohibitive costs. Single-arm trials, where all patients belong to the treatment group, can…

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