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We propose a novel model-based approach for constructing optimal designs with complex blocking structures and network effects, for application in agricultural field experiments. The potential interference among treatments applied to…

Methodology · Statistics 2021-08-25 Vasiliki Koutra , Steven G. Gilmour , Ben M. Parker , Andrew Mead

Copula modelling has in the past decade become a standard tool in many areas of applied statistics. However, a largely neglected aspect concerns the design of related experiments. Particularly the issue of whether the estimation of copula…

Methodology · Statistics 2014-06-12 Elisa Perrone , Werner G. Müller

The coordinate-exchange algorithm is commonly used to construct optimal experimental designs. Every execution of the coordinate-exchange algorithm produces a new, seemingly random, order of the selected design points. In this short…

Methodology · Statistics 2026-03-24 Arno Strouwen , Peter Goos

In this paper, we establish a decentralized optimal control framework for connected and automated vehicles (CAVs) crossing multiple adjacent, multi-lane signal-free intersections to minimize energy consumption and improve traffic…

Optimization and Control · Mathematics 2022-04-18 Behdad Chalaki , Andreas A. Malikopoulos

Nonlinear regression models addressing both efficacy and toxicity outcomes are increasingly used in dose-finding trials, such as in pharmaceutical drug development. However, research on related experimental design problems for corresponding…

Methodology · Statistics 2016-01-06 Holger Dette , Katrin Kettelhake , Kirsten Schorning , Weng Kee Wong , Frank Bretz

The constant development of new data analysis methods in many fields of research is accompanied by an increasing awareness that these new methods often perform better in their introductory paper than in subsequent comparison studies…

Methodology · Statistics 2024-01-17 Christina Nießl , Sabine Hoffmann , Theresa Ullmann , Anne-Laure Boulesteix

Platform trials gained popularity during the last few years as they increase flexibility compared to multi-arm trials by allowing new experimental arms entering when the trial already started. Using a shared control group in platform trials…

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…

Statistics Theory · Mathematics 2008-12-18 Dibyen Majumdar , John Stufken

The genetic algorithm (GA) is an optimization and search technique based on the principles of genetics and natural selection. A GA allows a population composed of many individuals to evolve under specified selection rules to a state that…

Neural and Evolutionary Computing · Computer Science 2016-08-14 Yılmaz Kaya , Murat Uyar , Ramazan Tek\D{j}n

Conformal predictive systems are a recent modification of conformal predictors that output, in regression problems, probability distributions for labels of test observations rather than set predictions. The extra information provided by…

Machine Learning · Computer Science 2019-11-05 Vladimir Vovk , Ivan Petej , Ilia Nouretdinov , Valery Manokhin , Alex Gammerman

We present a unified three-state model (TSM) framework for evaluating treatment effects in clinical trials in the presence of treatment crossover. Researchers have proposed diverse methodologies to estimate the treatment effect that would…

Methodology · Statistics 2024-09-18 Zile Zhao , Ye Li , Xiaodong Luo , Ray Bai

Numerous publications have now addressed the principles of designing, analyzing, and reporting the results of, stepped-wedge cluster randomized trials. In contrast, there is little research available pertaining to the design and analysis of…

Methodology · Statistics 2018-06-29 Michael Grayling , Adrian Mander , James Wason

We consider the problem of finding collision-free paths for curvature-constrained systems in the presence of obstacles while minimizing execution time. Specifically, we focus on the setting where a planar system can travel at some range of…

Robotics · Computer Science 2022-04-05 Doron Pinsky , Petr Váňa , Jan Faigl , Oren Salzman

Collision-tolerant trajectory planning is the consideration that collisions, if they are planned appropriately, enable more effective path planning for robots capable of handling them. A mixed integer programming (MIP) optimization…

Robotics · Computer Science 2016-11-24 Mark L. Mote , Juan-Pablo Afman , Eric Feron

Consider an experiment, where a new drug is tested for the first time on human subjects - healthy volunteers. Such experiments are often performed as dose-escalation studies: a set of increasing doses is pre-selected, individuals are…

Statistics Theory · Mathematics 2016-08-17 Samuel Rosa , Radoslav Harman

This paper considers the problem of constructing optimal discriminating experimental designs for competing regression models on the basis of the T-optimality criterion introduced by Atkinson and Fedorov [Biometrika 62 (1975) 57-70].…

Statistics Theory · Mathematics 2014-01-30 Holger Dette , Viatcheslav B. Melas , Petr Shpilev

We describe a new family of coupling designs, extending the basic principle of stratified randomization to experiments with continuous, constrained multivariate, text/image and other irregular treatment spaces. Our approach is to first…

Econometrics · Economics 2026-04-14 Max Cytrynbaum , Fredrik Sävje

Minimizing the number of patients exposed to potentially harmful drugs in early onco logical trials is a major concern during planning. Adaptive designs account for the inherent uncertainty about the true effect size by determining the…

Applications · Statistics 2016-05-03 Kevin Kunzmann , Meinhard Kieser

Under a generalised estimating equation analysis approach, approximate design theory is used to determine Bayesian D-optimal designs. For two examples, considering simple exchangeable and exponential decay correlation structures, we compare…

Methodology · Statistics 2024-02-16 Laura Etfer , James M. S. Wason , Michael J. Grayling

Observational studies often benefit from an abundance of observational units. This can lead to studies that -- while challenged by issues of internal validity -- have inferences derived from sample sizes substantially larger than randomized…

Methodology · Statistics 2020-08-24 Rachael C. Aikens , Dylan Greaves , Michael Baiocchi