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We consider design issues for toxicology studies when we have a continuous response and the true mean response is only known to be a member of a class of nested models. This class of non-linear models was proposed by toxicologists who were…

Statistics Theory · Mathematics 2010-11-29 Holger Dette , Andrey Pepelyshev , Piter Shpilev , Weng Kee Wong

Randomized experiments have been the gold standard for assessing the effectiveness of a treatment or policy. The classical complete randomization approach assigns treatments based on a prespecified probability and may lead to inefficient…

Methodology · Statistics 2023-10-26 Waverly Wei , Xinwei Ma , Jingshen Wang

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

In this paper, we consider robust control using randomized algorithms. We extend the existing order statistics distribution theory to the general case in which the distribution of population is not assumed to be continuous and the order…

Optimization and Control · Mathematics 2008-05-13 Xinjia Chen , Kemin Zhou

The Bulk-Synchronous Parallel model of computation has been used for the architecture independent design and analysis of parallel algorithms whose performance is expressed not only in terms of problem size n but also in terms of parallel…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-08-29 Alexandros V. Gerbessiotis , Constantinos J. Siniolakis

Matching mechanisms play a central role in operations management across diverse fields including education, healthcare, and online platforms. However, experimentally comparing a new matching algorithm against a status quo presents some…

Methodology · Statistics 2026-01-30 Chonghuan Wang

This work revisits optimal response-adaptive designs from a type-I error rate perspective, highlighting when and how much these allocations exacerbate type-I error rate inflation - an issue previously undocumented. We explore a range of…

Methodology · Statistics 2025-09-09 Lukas Pin , Sofía S. Villar , William F. Rosenberger

This paper develops a unified framework for partial identification and inference in stratified experiments with attrition, accommodating both equal and heterogeneous treatment shares across strata. For equal-share designs, we apply recent…

Econometrics · Economics 2026-01-21 Bruno Ferman , Davi Siqueira , Vitor Possebom

Design of experiments and estimation of treatment effects in large-scale networks, in the presence of strong interference, is a challenging and important problem. Most existing methods' performance deteriorates as the density of the network…

Methodology · Statistics 2020-12-15 Preetam Nandy , Kinjal Basu , Shaunak Chatterjee , Ye Tu

It is recognised that treatment-related clustering should be allowed for in the sample size and analyses of individually-randomised parallel-group trials that evaluate therapist-delivered interventions such as psychotherapy. Here,…

Methodology · Statistics 2026-02-03 Rebecca EA Walwyn , Rosemary A Bailey , Arpan Singh , Neil Corrigan , Steven G Gilmour

We investigate the problem of designing optimal classifiers in the strategic classification setting, where the classification is part of a game in which players can modify their features to attain a favorable classification outcome (while…

Machine Learning · Computer Science 2020-05-19 Mark Braverman , Sumegha Garg

Cluster-level dynamic treatment regimens can be used to guide sequential, intervention or treatment decision-making at the cluster level in order to improve outcomes at the individual or patient-level. In a cluster-level DTR, the…

Methodology · Statistics 2016-07-15 Timothy NeCamp , Amy Kilbourne , Daniel Almirall

We develop general theory for finding locally optimal designs in a class of single-covariate models under any differentiable optimality criterion. Yang and Stufken [Ann. Statist. 40 (2012) 1665-1681] and Dette and Schorning [Ann. Statist.…

Statistics Theory · Mathematics 2014-12-01 Linwei Hu , Min Yang , John Stufken

Experimental design is an approach for selecting samples among a given set so as to obtain the best estimator for a given criterion. In the context of linear regression, several optimal designs have been derived, each associated with a…

Statistics Theory · Mathematics 2021-01-01 Geovani Rizk , Igor Colin , Albert Thomas , Moez Draief

Randomization is a powerful tool that endows algorithms with remarkable properties. For instance, randomized algorithms excel in adversarial settings, often surpassing the worst-case performance of deterministic algorithms with large…

Machine Learning · Computer Science 2024-08-21 Johannes von Oswald , Seijin Kobayashi , Yassir Akram , Angelika Steger

We introduce a new method for performing clustering with the aim of fitting clusters with different scatters and weights. It is designed by allowing to handle a proportion $\alpha$ of contaminating data to guarantee the robustness of the…

Statistics Theory · Mathematics 2008-12-18 Luis A. García-Escudero , Alfonso Gordaliza , Carlos Matrán , Agustin Mayo-Iscar

There is no doubt on the importance of randomisation in agricultural experiments by agronomists and biometricians. Even when agronomists extend the experimentation from small trials to large on-farm trials, randomised designs predominate…

Applications · Statistics 2022-06-22 Zhanglong Cao , Andrew Grose , Jordan Brown , Suman Rakshit

Both cluster randomized trials and quasi-experimental designs are used to evaluate the impact of health and social policies and interventions. Stepped-wedge cluster randomized trials randomize a staggered adoption approach, while recent…

Methodology · Statistics 2026-04-15 Haidong Lu , Gregg S. Gonsalves , Fan Li , Guanyu Tong , Lee Kennedy-Shaffer

We consider constrained sampling problems in paid research studies or clinical trials. When qualified volunteers are more than the budget allowed, we recommend a D-optimal sampling strategy based on the optimal design theory and develop a…

Methodology · Statistics 2024-05-27 Yifei Huang , Liping Tong , Jie Yang

Randomized controlled trials are not only the golden standard in medicine and vaccine trials but have spread to many other disciplines like behavioral economics, making it an important interdisciplinary tool for scientists. When designing…

Methodology · Statistics 2021-11-30 Tassilo Schwarz
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