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Robustness of D-optimal Experimental Designs for Mixture Studies
1998The principal objective of mixture experiments is to assess the influences of the proportions and amounts of mixture ingredients, along with the effects of relevant processing variables, on performance characteristics of a mixture. Experimental designs, called “mixture designs”, have been proposed to guide such investigations.
David W. Bacon, Rodney Lott
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D-optimal mixture component-amount designs for quadratic and cubic models
Journal of Applied Statistics, 2008Abstract When the total amount of a mixture of ingredients needs to be taken into account (in addition to the composition of its ingredients), an experimental design requires several levels of the amount. Designs for such situations are discussed, and D-optimal choices are made for fitting quadratic and cubic models, for various numbers of experimental
Prescott, Philip, Draper, Norman R.
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Strategy in Optimization of Silicone Oil Emulsion by D-Optimal Mixture Design
Advanced Materials Research, 2014Silicon oil emulsion was prepared by mixing silicon oil with emulsifiers and water. To optimize the emulsifiers formulation, the D-optimal mixture design (DMD) in Design-Expert software was used to design the emulsifiers formulation. E-1304, AEO-3, SG-6and OP-10 were used as emulsifiers. According to the mixture design matrix given by Design Expert 8.0.
Hong Xin Shi +3 more
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-optimal designs for quadratic mixture canonical polynomials with spline
Statistics & Probability Letters, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhang, Chongqi, Peng, Heng
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D-optimality andD n -optimal designs for mixtures regression models with logarithmic terms
Acta Mathematicae Applicatae Sinica, 1987Considered are the two logarithmic regression models \[ E(y)=\sum^{q}_{i=1}(\beta_ ix_ i+\gamma_ i \ln x_ i)\quad and\quad E(y)=\sum^{q}_{i=1}(\beta_ ix_ i+\gamma_ i \ln x_ i)+\sum^{q}_ ...
Zhu, Weiyong +2 more
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Using a genetic algorithm to generate D‐optimal designs for mixture‐process variable experiments
Quality and Reliability Engineering International, 2019AbstractThis article presents and develops a genetic algorithm (GA) to generate D‐efficient designs for mixture‐process variable experiments. It is assumed the levels of a process variable are controlled during the process. The GA approach searches design points from a set of possible points over a continuous region and works without having a finite ...
Wasinee Pradubsri +2 more
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D-optimal design for a quadratic log contrast model for experiments with mixtures
Communications in Statistics - Theory and Methods, 1992A practical method is suggested for solving complicated D-optimal design problems analytically. Using this method the author has solved the problem for a quadratic log contrast model for experiments with mixtures introduced by J. Aitchison and J. Bacon-Shone.
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Mixture experiments with process variables: d-optimal orthogonal experimental designs
Communications in Statistics - Theory and Methods, 1988Blending experiments with mixture in the presence of process variables are considered. We present an experimental design for quadratic (or linear) blending. The design in two orthogonal blocks is D-optimized in the case where there are no restrictions on the blending in two orthogonal blocks is presented when there are arbitrary restrictions on the ...
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D-optimal designs for mixture experiments with various correlation structures
Communications in Statistics - Theory and Methods, 2022Chang Li, Chongqi Zhang
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