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

Zheng Gong | Zendy; Xiaoyuan Zhu | Zendy; Chongqi Zhang | Zendy

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

Author(s) -

Zheng Gong,

Xiaoyuan Zhu,

Chongqi Zhang

Publication year - 2022

Publication title -

mathematical biosciences and engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.451

H-Index - 45

eISSN - 1551-0018

pISSN - 1547-1063

DOI - 10.3934/mbe.2022221

Subject(s) - equivalence (formal languages) , additive model , graphics , mathematics , optimal design , mathematical optimization , mixed model , computer science , statistics , discrete mathematics , computer graphics (images)

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.

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