Journal of Industrial Engineering International (Jun 2017)

Shrinkage simplex-centroid designs for a quadratic mixture model

  • Taha Hasan,
  • Sajid Ali,
  • Munir Ahmed

DOI
https://doi.org/10.1007/s40092-017-0210-1
Journal volume & issue
Vol. 14, no. 1
pp. 87 – 93

Abstract

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Abstract A simplex-centroid design for q mixture components comprises of all possible subsets of the q components, present in equal proportions. The design does not contain full mixture blends except the overall centroid. In real-life situations, all mixture blends comprise of at least a minimum proportion of each component. Here, we introduce simplex-centroid designs which contain complete blends but with some loss in D-efficiency and stability in G-efficiency. We call such designs as shrinkage simplex-centroid designs. Furthermore, we use the proposed designs to generate component-amount designs by their projection.

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