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Exact Optimal Designs of Experiments for Factorial Models via Mixed-Integer Semidefinite Programming
Mathematics, 2023 The systematic design of exact optimal designs of experiments is typically challenging, as it results in nonconvex optimization problems. The literature on the computation of model-based exact optimal designs of experiments via mathematical programming ...
Belmiro P. M. Duarte
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Optimal Design for Estimating Parameters of the 4-Parameter Hill Model
Dose-Response, 2003 Many drug concentration-effect relationships are described by nonlinear sigmoid models. The 4-parameter Hill model, which belongs to this class, is commonly used. An experimental design is essential to accurately estimate the parameters of the model.
Leonid A. Khinkis +3 more
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Dependence of Polypropylene Yarn Mechanical Properties on Manufacturing Parameters
Medžiagotyra, 2014 Polypropylene (PP) multifilament structure is a valuable way to prepare yarns for medical application. In this study iPP multifilament yarns were prepared from iPP granules Moplen 462R by melt spinning technique COLLIN® CMF-100.
Kira KRIKŠTANAVIČIENĖ +2 more
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Selected Remarks on Highly D‑efficient Spring Balance Weighing Designs
Acta Universitatis Lodziensis. Folia Oeconomica, 2021 Here, we consider a new construction method of determining highly D-efficient spring balance weighing designs in classes in which a D-optimal design does not exist.
Małgorzata Graczyk, Bronisław Ceranka
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A D-optimal design of order 150
Discrete Mathematics, 1998 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wolf H. Holzmann, Hadi Kharaghani
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Maximin optimal designs for a compartmental model [PDF]
, 2004 For an important example from the class of compartmental models we determine optimal designs, which are robust against misspecifications of the unknown model parameters.
Stefanie Biedermann +8 more
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Statistical Theory and Related Fields, 2021 This article considers the problem of selecting two-level designs under the baseline parameterisation when some two-factor interactions are important.
Anqi Chen, Cheng-Yu Sun, Boxin Tang
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D-Optimal Designs for Binary and Weighted Linear Regression Models: One Design Variable
Mathematics, 2023 D-optimality is a well-known concept in experimental design that seeks to select an optimal set of design points to estimate the unknown parameters of a statistical model with a minimum variance.
Necla Gündüz, Bernard Torsney
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Statistical Theory and Related FieldsThe allocation of resources in a [Formula: see text]-factorial experiment is crucial when the experimental resources are limited. In practice, when resources are limited, it is common for investigators to use all the information at their disposal to ...
Francois K. Domagni +2 more
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On the number of D-optimal designs
Journal of Combinatorial Theory, Series A, 1994 The main result of the paper is the theorem: For \(n=18\), there are precisely three essentially different matrices with elements \(\pm 1\) having the maximum determinant. Only one of these is of the circulant type, but all are of the skew type. This means that there are three \(D\)-optimal designs for \(n=18\).
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