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We consider the problem of decomposing a higher-order tensor with binary entries. Such data problems arise frequently in applications such as neuroimaging, recommendation system, topic modeling, and sensor network localization. We propose a…

机器学习 · 统计学 2020-09-22 Miaoyan Wang , Lexin Li

We consider experiments for comparing treatments using units that are ordered linearly over time or space within blocks. In addition to the block effect, we assume that a trend effect influences the response. The latter is modeled as a…

统计理论 · 数学 2008-12-18 Dibyen Majumdar , John Stufken

For obtaining causal inferences that are objective, and therefore have the best chance of revealing scientific truths, carefully designed and executed randomized experiments are generally considered to be the gold standard. Observational…

应用统计 · 统计学 2008-11-12 Donald B. Rubin

We derive optimality conditions for the optimum sample allocation problem in stratified sampling, formulated as the determination of the fixed strata sample sizes that minimize the total cost of the survey, under the assumed level of…

统计理论 · 数学 2023-12-11 Wojciech Wójciak

Significant evidence has become available that emphasizes the importance of personalization in medicine. In fact, it has become a common belief that personalized medicine is the future of medicine. The core of personalized medicine is the…

统计方法学 · 统计学 2020-04-30 Qiong Zhang , Amin Khademi , Yongjia Song

Several clustering frameworks with interactive (semi-supervised) queries have been studied in the past. Recently, clustering with same-cluster queries has become popular. An algorithm in this setting has access to an oracle with full…

数据结构与算法 · 计算机科学 2019-08-15 Barna Saha , Sanjay Subramanian

To maximize clinical benefit, clinicians routinely tailor treatment to the individual characteristics of each patient, where individualized treatment rules are needed and are of significant research interest to statisticians. In the…

统计方法学 · 统计学 2021-11-23 Trinetri Ghosh , Yanyuan Ma , Rui Song , Pingshou Zhong

Achieving covariate balance in randomized experiments enhances the precision of treatment effect estimation. However, existing methods often require heuristic adjustments based on domain knowledge and are primarily developed for binary…

统计方法学 · 统计学 2025-02-25 Wenxuan Guo , Tengyuan Liang , Panos Toulis

The Stepped Wedge Design (SWD) is a form of cluster randomized trial, usually comparing two treatments, which is divided into time periods and sequences, with clusters allocated to sequences. Typically all sequences start with the standard…

统计方法学 · 统计学 2020-11-06 John N. S. Matthews

Randomized controlled trials are the gold standard for measuring causal effects. However, they are often not always feasible, and causal treatment effects must be estimated from observational data. Observational studies do not allow robust…

Covariate adaptive randomization (CAR) procedures are extensively used to reduce the likelihood of covariate imbalances occurring in clinical trials. In literatures, a lot of CAR procedures have been proposed so that the specified…

统计理论 · 数学 2026-03-10 Zhang Li-Xin

In a cluster-randomized experiment, treatment is assigned to clusters of individual units of interest--households, classrooms, villages, etc.--instead of the units themselves. The number of clusters sampled and the number of units sampled…

统计方法学 · 统计学 2020-02-20 Yeng Xiong , Michael J. Higgins

Stepped wedge designs (SWDs) are increasingly used to evaluate longitudinal cluster-level interventions but pose substantial challenges for valid inference. Because crossover times are randomized, intervention effects are intrinsically…

统计方法学 · 统计学 2026-05-12 Fan Xia , K. C. Gary Chan , Emily Voldal , Avi Kenny , Patrick J. Heagerty , James P. Hughes

Consider an experiment consisting of a set of independent trials for comparing a set of treatments. In each trial, one treatment is chosen and the mean response of the trial is equal to the effect of the chosen treatment. We examine the…

统计理论 · 数学 2016-12-21 Samuel Rosa

Personalized decision-making, tailored to individual characteristics, is gaining significant attention. The optimal treatment regime aims to provide the best-expected outcome in the entire population, known as the value function. One…

统计方法学 · 统计学 2024-05-28 Yuwen Cheng , Shu Yang

Chance imbalance in baseline characteristics is common in randomized clinical trials. Regression adjustment such as the analysis of covariance (ANCOVA) is often used to account for imbalance and increase precision of the treatment effect…

统计方法学 · 统计学 2020-08-14 Shuxi Zeng , Fan Li , Rui Wang , Fan Li

Random allocation is essential for causal inference, but practical constraints often require assigning participants in clusters. They may be stratified pre-assignment, either of necessity or to reduce differences between treatment and…

统计方法学 · 统计学 2025-05-27 Xinhe Wang , Ben B. Hansen

Clinical and genomic models are both used to predict breast cancer outcomes, but they are often combined using simple linear rules that do not account for how their risk scores relate, especially at the extremes. Using the METABRIC breast…

机器学习 · 计算机科学 2025-11-25 Agnideep Aich , Sameera Hewage , Md Monzur Murshed

Optimal propensity score matching has emerged as one of the most ubiquitous approaches for causal inference studies on observational data; However, outstanding critiques of the statistical properties of propensity score matching have cast…

Clinical trials often evaluate multiple outcome variables to form a comprehensive picture of the effects of a new treatment. The resulting multidimensional insight contributes to clinically relevant and efficient decision-making about…

统计方法学 · 统计学 2023-08-14 X. M. Kavelaars , J. Mulder , M. C. Kaptein