Mathematical Biosciences and Engineering (Mar 2022)

D-optimal design of the additive mixture model with multi-response

  • Zheng Gong,
  • Xiaoyuan Zhu,
  • Chongqi Zhang

DOI
https://doi.org/10.3934/mbe.2022221
Journal volume & issue
Vol. 19, no. 5
pp. 4737 – 4748

Abstract

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This paper proposes the D-optimal design for the additive mixture model with two-response, which is linear model with no interaction terms. The optimality was validated by using the general equivalence theorem, and the corresponding weights are found under which additive model satisfies D-optimality. In addition, relevant statistics and graphics are given to illustrate our results.

Keywords