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ON D-OPTIMAL CHEMICAL BALANCE WEIGHING DESIGNS [PDF]

open access: yesActa Universitatis Lodziensis. Folia Oeconomica, 2015
The paper deals with the problem of determining the chemical balance weighing designs satisfying the criterion of D-optimality under assumption that the measurement errors are equal correlated and they have the same variances.
Bronisław Ceranka, Małgorzata Graczyk
doaj   +4 more sources

A MINE alternative to D-optimal designs for the linear model. [PDF]

open access: yesPLoS ONE, 2014
Doing large-scale genomics experiments can be expensive, and so experimenters want to get the most information out of each experiment. To this end the Maximally Informative Next Experiment (MINE) criterion for experimental design was developed.
Amanda M Bouffier   +2 more
doaj   +2 more sources

Finding High-Dimensional D-Optimal Designs for Logistic Models via Differential Evolution [PDF]

open access: yesIEEE Access, 2019
D-optimal designs are frequently used in controlled experiments to obtain the most accurate estimate of model parameters at minimal cost. Finding them can be a challenging task, especially when there are many factors in a nonlinear model.
Weinan Xu   +3 more
doaj   +2 more sources

D-Optimal Design for a Causal Structure for Completely Randomized and Random Blocked Experiments

open access: yesJournal of Probability and Statistics, 2022
Most experimental design literature on causal inference focuses on establishing a causal relationship between variables, but there is no literature on how to identify a design that results in the optimal parameter estimates for a structural equation ...
Zaher Kmail, Kent Eskridge
doaj   +1 more source

D-OPTIMAL DESIGNS FOR SPLIT-PLOT MIXTURE PROCESS VARIABLE DESIGNS OF THE STEEL SLAG EXPERIMENT

open access: yesBarekeng, 2022
The nature of the steel slag concrete experiment followed a mixture process variable (MPV) design. In this study, the concrete is composed of five mixture components, cement, fine aggregate, coarse aggregate, percentage steel slag replaced the fine ...
Faula Arina   +3 more
doaj   +1 more source

D-optimal population designs in linear mixed effects models for multiple longitudinal data

open access: yesStatistical Theory and Related Fields, 2021
The main purpose of this paper is to investigate D-optimal population designs in multi-response linear mixed models for longitudinal data. Observations of each response variable within subjects are assumed to have a first-order autoregressive structure ...
Hongyan Jiang, Rongxian Yue
doaj   +1 more source

Generating Robust Optimal Mixture Designs Due to Missing Observation Using a Multi-Objective Genetic Algorithm

open access: yesMathematics, 2023
Missing observation is a common problem in scientific and industrial experiments, particularly in a small-scale experiment. They often present significant challenges when experiment repetition is infeasible. In this research, we propose a multi-objective
Wanida Limmun   +2 more
doaj   +1 more source

New Results Regarding the Construction Method for D‑optimal Chemical Balance Weighing Designs

open access: yesActa Universitatis Lodziensis. Folia Oeconomica, 2020
We study an experiment in which we determine unknown measurements of p objects in n weighing operations according to the model of the chemical balance weighing design. We determine a design which is D‑optimal. For the construction of the D‑optimal design,
Bronisław Ceranka, Małgorzata Graczyk
doaj   +1 more source

Optimal Designs for Antoine’s Equation: Compound Criteria and Multi-Objective Designs via Genetic Algorithms

open access: yesMathematics, 2023
Antoine’s Equation is commonly used to explain the relationship between vapour pressure and temperature for substances of industrial interest. This paper sets out a combined strategy to obtain optimal designs for the Antoine Equation for D- and I ...
Carlos de la Calle-Arroyo   +2 more
doaj   +1 more source

A weighted D-optimality criterion for constructing model-robust designs in the presence of block effects [PDF]

open access: yesSongklanakarin Journal of Science and Technology (SJST), 2020
It is generally known that blocking can reduce unexplained variation, and in response surface designs block sizes can be pre-specified. This paper proposes a novel way of weighting D-optimality criteria obtained from all possible models to construct ...
Peang-or Yeesa   +2 more
doaj   +1 more source

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