Construction of Second Order Rotatable Simplex Designs
American Journal of Theoretical and Applied Statistics
Volume 6, Issue 6, November 2017, Pages: 297-302
Received: Jun. 2, 2017; Accepted: Jun. 16, 2017; Published: Dec. 7, 2017
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Authors
Otieno-Roche Emily, Department of Computer and Information Technology, Africa Nazarene University, Nairobi, Kenya
Koske Joseph, Department of Statistics and Computer Science, Moi University, Eldoret, Kenya
Mutiso John, Department of Statistics and Computer Science, Moi University, Eldoret, Kenya
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Abstract
Rotatable designs are mainly for the exploration of response surfaces. These designs provide the preferred property of constant prediction variance at all points that are equidistant from the design center, thus improving the quality of the prediction. Initially, they were constructed through geometrical configurations and several second order designs were obtained. Full Factorial Design of Experiment provides the most response information about factor main effects and interactions, the process model’s coefficients for all factors and interactions, and when validated, allows process to be optimized. On the other hand, mixture designs are a special case of response surface designs where prediction and optimization are the main goals. These designs usually predict all possible formulations of the ingredients however, little or no research has been done incorporating rotatability with the mixture designs. This paper therefore aims at constructing Rotatable Simplex Designs (RSDs) using the properties of Simplex - Lattice Designs (SLDs) in connection with Full Factorial Designs (FFDs).
Keywords
Response Surface Designs, Second-Order Rotatable Designs (SORD), Mixture Designs, Moment Matrices, Central Composite Designs
To cite this article
Otieno-Roche Emily, Koske Joseph, Mutiso John, Construction of Second Order Rotatable Simplex Designs, American Journal of Theoretical and Applied Statistics. Vol. 6, No. 6, 2017, pp. 297-302. doi: 10.11648/j.ajtas.20170606.16
Copyright
Copyright © 2017 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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