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Construction of Weighted Second Order Rotatable Simplex Designs (Wrsd)
American Journal of Theoretical and Applied Statistics
Volume 6, Issue 6, November 2017, Pages: 303-310
Received: Jun. 2, 2017; Accepted: Jun. 16, 2017; Published: Dec. 7, 2017
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
Response surface methodology is widely used for developing, improving, and optimizing processes in various fields. A rotatable simplex design is one of the new designs that have been suggested for fitting second-order response surface models. In this article, we present a method for constructing weighted second order rotatable simplex designs (WRSD) which are more efficient than the ordinary rotatable simplex designs (RSD). Using moment matrices based on the Simplex and Factorial Designs, and the General Equivalence Theorem (GET) for D- and A- optimality, weighted rotatable simplex designs (WRSDs) were obtained. A- and D- optimality criterion was then used to establish the efficiency of the designs.
Keywords
D – Optimal, A – Optimal, Response Surface Designs, Second-Order Designs, Information Surface, Moment Matrices, Weighted Rotatable Simplex Designs
Otieno-Roche Emily, Koske Joseph, Mutiso John, Construction of Weighted Second Order Rotatable Simplex Designs (Wrsd), American Journal of Theoretical and Applied Statistics. Vol. 6, No. 6, 2017, pp. 303-310. doi: 10.11648/j.ajtas.20170606.17
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