Open AccessD-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.