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A case-cohort design is a two-phase sampling design frequently used to analyze censored survival data in a cost-effective way, where a subcohort is usually selected using simple random sampling or stratified simple random sampling. In this…

Methodology · Statistics 2024-11-06 Kaeum Choi , Sangwook Kang

Count data and recurrent events in clinical trials, such as the number of lesions in magnetic resonance imaging in multiple sclerosis, the number of relapses in multiple sclerosis, the number of hospitalizations in heart failure, and the…

Applications · Statistics 2019-03-07 Tobias Mütze , Ekkehard Glimm , Heinz Schmidli , Tim Friede

Bayesian optimal experimental design (BOED) is a methodology to identify experiments that are expected to yield informative data. Recent work in cognitive science considered BOED for computational models of human behavior with tractable and…

Machine Learning · Computer Science 2021-11-01 Simon Valentin , Steven Kleinegesse , Neil R. Bramley , Michael U. Gutmann , Christopher G. Lucas

This research considers the ranking and selection (R&S) problem of selecting the optimal subset from a finite set of alternative designs. Given the total simulation budget constraint, we aim to maximize the probability of correctly…

Optimization and Control · Mathematics 2019-04-25 Fei Gao , Zhongshun Shi , Siyang Gao , Hui Xiao

Generalized linear models (GLMs) have been used widely for modelling the mean response both for discrete and continuous random variables with an emphasis on categorical response. Recently Yang, Mandal and Majumdar (2013) considered full…

Statistics Theory · Mathematics 2013-05-06 Jie Yang , Abhyuday Mandal

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…

Methodology · Statistics 2025-02-25 Wenxuan Guo , Tengyuan Liang , Panos Toulis

Adaptive designs have been proposed for clinical trials in which the nuisance parameters or alternative of interest are unknown or likely to be misspecified before the trial. Whereas most previous works on adaptive designs and mid-course…

Methodology · Statistics 2011-05-18 Jay Bartroff , Tze Leung Lai

Grouping structures arise naturally in many statistical modeling problems. Several methods have been proposed for variable selection that respect grouping structure in variables. Examples include the group LASSO and several concave group…

Statistics Theory · Mathematics 2013-01-07 Jian Huang , Patrick Breheny , Shuangge Ma

Cross-classified data frequently arise in scientific fields such as education, healthcare, and social sciences. A common modeling strategy is to introduce crossed random effects within a regression framework. However, this approach often…

Methodology · Statistics 2025-07-22 Shota Takeishi , Shonosuke Sugasawa

A group sequential clinical trial design can be an attractive option when planning a pivotal trial as this approach has the ability to stop the trial early for success, whilst also being well accepted from a regulatory review perspective.…

Applications · Statistics 2023-03-03 Fraser I Lewis

In sequential experiments, subjects become available for the study over a period of time, and covariates are often measured at the time of arrival. We consider the setting where the sample size is fixed but covariate values are unknown…

Methodology · Statistics 2020-05-28 Mia S. Tackney , David C. Woods , Ilya Shpitser

Practitioners conducting adaptive experiments often encounter two competing priorities: maximizing total welfare (or `reward') through effective treatment assignment and swiftly concluding experiments to implement population-wide…

Machine Learning · Computer Science 2024-07-31 Chao Qin , Daniel Russo

Tie-breaker designs trade off a statistical design objective with short-term gain from preferentially assigning a binary treatment to those with high values of a running variable $x$. The design objective is any continuous function of the…

Methodology · Statistics 2022-10-20 Harrison H. Li , Art B. Owen

Clusters form the basis of a number of research study designs including survey and experimental studies. Cluster-based designs can be less costly but also less efficient than individual-based designs due to correlation between individuals…

Methodology · Statistics 2021-07-22 Samuel I. Watson

Tree-based ensembles such as the Random Forest are modern classics among statistical learning methods. In particular, they are used for predicting univariate responses. In case of multiple outputs the question arises whether we separately…

Machine Learning · Statistics 2022-01-17 Lena Schmid , Alexander Gerharz , Andreas Groll , Markus Pauly

The traditional model specification of stepped-wedge cluster-randomized trials assumes a homogeneous treatment effect across time while adjusting for fixed-time effects. However, when treatment effects vary over time, the constant effect…

This paper focuses on the estimation of distributional treatment effects in randomized experiments that use covariate-adaptive randomization (CAR). These include designs such as Efron's biased-coin design and stratified block randomization,…

Econometrics · Economics 2025-06-09 Undral Byambadalai , Tomu Hirata , Tatsushi Oka , Shota Yasui

We present a new optimization method for the group selection problem in linear regression. In this problem, predictors are assumed to have a natural group structure and the goal is to select a small set of groups that best fits the…

Methodology · Statistics 2024-04-23 Anant Mathur , Sarat Moka , Benoit Liquet , Zdravko Botev

Under two-phase designs, the outcome and several covariates and confounders are measured in the first phase, and a new predictor of interest, which may be costly to collect, can be measured on a subsample in the second phase, without…

Methodology · Statistics 2023-05-12 Jingjing Zou , Lori B. Daniels , Karen Messer , Daniel Rabinowitz

In this letter we summarize some recent theoretical work on the design of collectives, i.e., of systems containing many agents, each of which can be viewed as trying to maximize an associated private utility, where there is also a world…

Disordered Systems and Neural Networks · Physics 2007-05-23 Kagan Tumer , David Wolpert
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