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We consider the nonadaptive group testing with N items, of which $K = \Theta(N^\theta)$ are defective. We study a test design in which each item appears in nearly the same number of tests. For each item, we independently pick L tests…

Information Theory · Computer Science 2018-09-26 Oliver Johnson , Matthew Aldridge , Jonathan Scarlett

Breakthroughs in cancer biology have defined new research programs emphasizing the development of therapies that target specific pathways in tumor cells. Innovations in clinical trial design have followed with master protocols defined by…

Methodology · Statistics 2020-07-09 Alexander M. Kaizer , Joseph S. Koopmeiners , Nan Chen , Brian P. Hobbs

The randomized group-greedy method and its customized method for large-scale sensor selection problems are proposed. The randomized greedy sensor selection algorithm is applied straightforwardly to the group-greedy method, and a customized…

Signal Processing · Electrical Eng. & Systems 2023-03-27 Takayuki Nagata , Keigo Yamada , Kumi Nakai , Yuji Saito , Taku Nonomura

The subject of this work is multiple group random coefficients regression models with several treatments and one control group. Such models are often used for studies with cluster randomized trials. We investigate A-, D- and E-optimal…

Statistics Theory · Mathematics 2018-07-27 Maryna Prus

Microplastics contamination is one of the most rapidly growing research topics. However, monitoring microplastics contamination in the environment presents both logistical and statistical challenges, particularly when constrained resources…

The group testing problem consists of determining a small set of defective items from a larger set of items based on a number of possibly-noisy tests, and is relevant in applications such as medical testing, communication protocols, pattern…

Information Theory · Computer Science 2018-10-05 Jonathan Scarlett

Multi-arm designs provide an effective means of evaluating several treatments within the same clinical trial. Given the large number of treatments now available for testing in many disease areas, it has been argued that their utilisation…

Computation · Statistics 2019-06-24 Michael J Grayling , James MS Wason

The aim of this paper is twofold. First, we introduce "resource constraints" as a general concept that covers many practical restrictions on experimental design. Second, for computing efficient exact designs of experiments under any…

Computation · Statistics 2014-08-08 Radoslav Harman , Alena Bachratá , Lenka Filová

Recently, methodology was presented to facilitate the incorporation of interim analyses in stepped-wedge (SW) cluster randomised trials (CRTs). Here, we extend this previous discussion. We detail how the stopping boundaries, allocation…

Methodology · Statistics 2018-03-28 Michael Grayling , David Robertson , James Wason , Adrian Mander

The group testing problem is concerned with identifying a small set of infected individuals in a large population. At our disposal is a testing procedure that allows us to test several individuals together. In an idealized setting, a test…

Information Theory · Computer Science 2023-09-19 Oliver Gebhard , Oliver Johnson , Philipp Loick , Maurice Rolvien

We consider the optimal design problem for identifying effective dose combinations within drug combination studies where the effect of the combination of two drugs is investigated. Drug combination studies are becoming increasingly…

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

In industrial engineering and manufacturing, quality control is an essential part of the production process of a product. To ensure proper functionality of a manufactured good, rigorous testing has to be performed to identify defective…

Methodology · Statistics 2025-04-02 Michael Balzer

Outcomes from studies assessing exposure often use multiple measurements. In previous work, using a model first proposed by Buonoccorsi (1991), we showed that combining direct (e.g. biomarkers) and indirect (e.g. self-report) measurements…

Methodology · Statistics 2020-09-30 Michal Bitan , Malka Gorfine , Laura Rosen , David M. Steinberg

In group testing, the task is to determine the distinguished members of a set of objects L by asking subset queries of the form ``does the subset Q of L contain a distinguished object?'' The primary biological application of group testing…

Combinatorics · Mathematics 2008-02-03 Emanuel Knill , S. Muthukrishnan

The problem of scheduling with testing in the framework of explorable uncertainty models environments where some preliminary action can influence the duration of a task. In the model, each job has an unknown processing time that can be…

Data Structures and Algorithms · Computer Science 2021-08-20 Susanne Albers , Alexander Eckl

Experimental designs for a generalized linear model (GLM) often depend on the specification of the model, including the link function, the predictors, and unknown parameters, such as the regression coefficients. To deal with uncertainties…

Methodology · Statistics 2026-05-12 Yiou Li , Lulu Kang , Xinwei Deng

Plant breeding programs use data obtained from multi-environment selection experiments to produce improved varieties with the ultimate aim of maintaining high levels of genetic gain. Selection accuracy can be improved with the use of…

Methodology · Statistics 2026-05-13 Brian R Cullis , Alison B Smith , David GD Hughes , David Butler

Subsampling is commonly used to overcome computational and economical bottlenecks in the analysis of finite populations and massive datasets. Existing methods are often limited in scope and use optimality criteria (e.g., A-optimality) with…

Statistics Theory · Mathematics 2023-04-07 Henrik Imberg , Marina Axelson-Fisk , Johan Jonasson

Longitudinal cluster randomized trials (L-CRTs) are increasingly used to evaluate the cost-effectiveness of healthcare interventions across multiple assessment periods, yet design methods for powering these trials remain underdeveloped.…

Methodology · Statistics 2026-03-20 Hao Wang , Jingxia Liu , Drew B. Cameron , Jiaqi Tong , Donna Spiegelman , Daniella Meeker , Fan Li
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