d-QPSO: A Quantum-Behaved Particle Swarm Technique for Finding D-Optimal Designs With Discrete and Continuous Factors and a Binary Response [PDF]
, 2018 Identifying optimal designs for generalized linear models with a binary response can be a challengingtask, especially when there are both discrete and continuous independent factors in the model.
Lukemire, Joshua +2 more
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Discrete Mathematics, 1996 Let \(g(n)\) (resp. \(\gamma(n)\)) be the maximum absolute value of the determinant of all \(n\times n\) matrices whose entries are from \(\{1,-1\}\) (resp. \(\{1,-1,i,-i\})\). The following theorems are proved: (1) \(g(2m)\geq 2^m(\gamma(m))^2\), with equality iff there exists a matrix of the form \((\begin{smallmatrix} A & B\\ -B & A\end{smallmatrix})
openaire +2 more sources
Locally D-Optimal Designs with Heteroscedasticity: A Comparison between Two Methodologies
Revista Colombiana de Estadística, 2014 The classic theory of optimal experimental designs assumes that the errors of the model are independent and have a normal distribution with constant variance. However, the assumption of homogeneity of variance is not always satisfied.
JAIME ANDRÉS GAVIRIA +1 more
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Standardized maximim D-optimal designs for enzyme kineticinhibition models [PDF]
, 2017 Locally optimal designs for nonlinear models require a single set of nominal values for the unknown parameters.An alternative is the maximin approach that allows the user to specify a range of values for each parameter ofinterest.
Chen, Ping-Yang +3 more
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Constructing Optimal Designs for Order-of-Addition Experiments Using a Hybrid Algorithm
Mathematics, 2023 For order-of-addition experiments, the response is affected by the addition order of the experimental materials. Consequently, the main interest focuses on creating a predictive model and an optimal design for optimizing the response.
Dongying Wang, Sumin Wang
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D-optimal designs formulti-response linear mixed models [PDF]
, 2018 Linear mixed models have become popular in many statistical applications duringrecent years. However design issues for multi-response linear mixed models are rarelydiscussed.
Liu, Xin, Wong, Weng Kee, Yue, Rong-Xian
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Optimal group testing designs for estimating prevalence with uncertain testing errors [PDF]
, 2016 We construct optimal designs for group testing experiments where the goal is to estimate the prevalence of a trait by using a test with uncertain sensitivity and specificity.
Huang, Mong-Na Lo +3 more
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Highly D‑efficient Weighing Design and Its Construction
Acta Universitatis Lodziensis. Folia Oeconomica, 2017 In this paper, some aspects of design optimality on the basis of spring balance weighing designs are considered. The properties of D‑optimal and D‑efficiency designs are studied.
Bronisław Ceranka, Małgorzata Graczyk
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Maximal determinants and saturated D-optimal designs of orders 19 and 37 [PDF]
, 2011 A saturated D-optimal design is a {+1,-1} square matrix of given order with maximal determinant. We search for saturated D-optimal designs of orders 19 and 37, and find that known matrices due to Smith, Cohn, Orrick and Solomon are optimal.
Brent, Richard P. +3 more
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A Regular D‑optimal Weighing Design with Negative Correlations of Errors
Acta Universitatis Lodziensis. Folia Oeconomica, 2019 The issues concerning optimal estimation of unknown parameters in the model of chemical balance weighing designs with negative correlated errors are considered. The necessary and sufficient conditions determining the regular D‑optimal design and some new
Małgorzata Graczyk, Bronisław Ceranka
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