Article
Biology
Zheng Zhou, Yongdao Zhou
Summary: In this study, a theoretical framework is established to evaluate the optimality of row-column designs with prime level, and a method is proposed to construct optimal row-column designs with prime level, providing unconfounded estimation of all main effects and as many interactions as possible. Additionally, optimal full factorial three-level row-column designs are constructed for any parameter combination, and optimal fractional factorial two-level and three-level row-column designs are constructed for cost saving.
Article
Plant Sciences
Weikai Yan
Summary: Replicated multi-location yield trials are essential for crop variety trials, but each replicate comes with a cost, so it is important to optimize the number of replicates based on single-trial and multi-location trial functions. Research shows that the function derived from multi-location trials is more accurate in determining the optimal number of replicates. In some cases, using two replicates can save costs while maintaining selection efficacy.
FRONTIERS IN PLANT SCIENCE
(2021)
Article
Mathematics, Applied
Fahim Rahim, Nicholas J. Cavenagh
Summary: This paper discusses the application of factorial designs in experimental design, particularly focusing on the study of row-column factorial designs. The paper presents necessary and sufficient conditions for the existence of different types of designs and provides examples and results for various parameters.
LINEAR ALGEBRA AND ITS APPLICATIONS
(2023)
Article
Oncology
Emily C. Zabor, Alexander M. Kaizer, Nathan A. Pennell, Brian P. Hobbs
Summary: This study proposes three randomized designs for early phase biomarker-guided oncology clinical trials, using optimal efficiency predictive probability method to monitor multiple biomarker subpopulations for futility. The simulation study demonstrates that potentially smaller phase II trials can be designed efficiently using randomization and futility stopping to obtain more information before phase III studies.
FRONTIERS IN ONCOLOGY
(2022)
Article
Agronomy
Hans-Peter Piepho, Emlyn R. Williams, Volker Michel
Summary: Blocking is a standard strategy for improving the precision of randomized experimental designs in field trials. Common issues with classical randomized row-column designs include clustering of treatment replications and unequal distribution of treatment pairs. By considering a design strategy for blocked experiments, good neighbor balance and evenness of distribution properties can be achieved.
JOURNAL OF AGRONOMY AND CROP SCIENCE
(2021)
Article
Agriculture, Multidisciplinary
Anindita Datta, Seema Jaggi, Cini Varghese, Eldho Varghese, Mohd Harun, Arpan Bhowmik
Summary: The study aims to obtain mating plans using Generalized Row-Column (GRC) designs, which can reduce resource consumption.
INDIAN JOURNAL OF AGRICULTURAL SCIENCES
(2021)
Article
Chemistry, Multidisciplinary
Guoqiang Dun, Ning Mao, Xinxin Ji, Fuli Zhang, Wenyi Ji
Summary: In this study, a corn-overlapped strip fertilizer spreader was designed to achieve uniform spreading of fertilizer in hilly areas. A model was developed to determine the factors affecting fertilizer distribution pattern, and simulation tests were conducted to optimize these factors. The test results showed that the optimized combination of parameters resulted in high uniformity coefficients for both transversal and longitudinal fertilizer distribution. The validation test confirmed the accuracy of the simulation results. This study provides evidence for further improving the performance of corn mid-tillage fertilizer applicators.
APPLIED SCIENCES-BASEL
(2023)
Article
Mathematics, Interdisciplinary Applications
Beichen Han, Yuna Zhao
Summary: This paper investigates the construction of optimal regular two-level fractional factorial split-plot designs, proposes optimality criteria for two different design scenarios, and explores the theoretical construction methods of these designs.
FRACTAL AND FRACTIONAL
(2022)
Article
Management
Hema Yoganarasimhan, Ebrahim Barzegary, Abhishek Pani
Summary: Based on a large-scale field experiment, we find that shorter trial lengths surprisingly maximize customer acquisition, retention, and profitability in the Software as a Service industry.
MANAGEMENT SCIENCE
(2022)
Article
Computer Science, Interdisciplinary Applications
Kevin Kunzmann, Maximilian Pilz, Carolin Herrmann, Geraldine Rauch, Meinhard Kieser
Summary: Adoptr is a statistical software for adaptive two-stage trial designs, particularly for two-arm trials with normally distributed outcomes. Unlike previous approaches, adoptr optimizes the design upfront, aiming for maximum efficiency. It allows users to specify different objective functions flexibly, and provides measures to assist practitioners in the validation process.
JOURNAL OF STATISTICAL SOFTWARE
(2021)
Article
Computer Science, Theory & Methods
Belmiro P. M. Duarte, Anthony C. Atkinson, Nuno M. C. Oliveira
Summary: Dose escalation trials are important for optimizing drug administration and minimizing adverse effects. This study proposes a mixed integer nonlinear programming approach for computing optimal experimental designs for dose escalation, considering individual allocation and prognostic factors.
STATISTICS AND COMPUTING
(2022)
Article
Health Care Sciences & Services
Samuel Watson, Alan Girling, Karla Hemming
Summary: This article presents a review of statistical and computational methods for identifying optimal cluster randomised trial designs. Three broad classes of methods are identified: exact formulae for treatment effect estimator variance, generalised methods for estimating weights for experimental units, and combinatorial optimisation algorithms. The results show that these methods can be applied in various cluster trial scenarios, including optimal allocation and determination of the number of single observations to make in each cluster-period.
STATISTICAL METHODS IN MEDICAL RESEARCH
(2023)
Article
Mathematical & Computational Biology
Rosamarie Frieri, Maroussa Zagoraiou
Summary: The study proposes a constrained optimization approach for addressing unequal allocation demands in multi-arm clinical trials, which enhances test power while adhering to ethical constraints. This method shows excellent performance in both uncensored and censored scenarios, making it particularly useful for clinical trial designs in oncology and infectious disease research, where ethical considerations are crucial.
STATISTICS IN MEDICINE
(2021)
Article
Engineering, Mechanical
Alberto Di Matteo, Chiara Masnata, Christoph Adam, Antonina Pirrotta
Summary: This study examines the use of a novel passive control device - Tuned Liquid Column Damper Inerter (TLCDI) to control the seismic response of structural systems. An optimization procedure is proposed for designing the TLCDI based on statistical linearization technique and minimization of structural displacement variance. The efficiency of TLCDI-controlled structures in controlling seismic response is examined using real seismic signals as external excitation.
MECHANICAL SYSTEMS AND SIGNAL PROCESSING
(2022)
Article
Mathematics
Necla Gunduz, Bernard Torsney
Summary: This paper focuses on proving a conjecture made by Ford, Torsney, and Wu regarding the existence of a class of D-optimal designs for binary and weighted linear regression models. The conjecture states that there exists a two-level factorial design that is D-optimal for these models. To prove this, we use an intuitive approach that explores various link functions in the generalized linear model context. Our results establish the existence of D-optimal designs for binary and weighted linear regression models with one design variable, which have important implications for the efficient design of experiments.