Equivalence theorem of $D$-optimal equal allocation design for multiresponse mixture experiments

Year 2021, Volume: 50 Issue: 4, 1212 - 1224, 06.08.2021

Xiaoyuan Zhu , Honghua Hao , Weixia Li , Chongqi Zhang

https://doi.org/10.15672/hujms.777430

Cited By: 2

Abstract

The equivalence theorem is the most important theorem of experimental design. For single response, the D-optimal equivalence theorem of the continuous design and equal allocation design already exist. However, the equivalence theorem of D-optimal equal allocation design for multiresponse mixture experiments has not been investigated. In this paper, we study this problem and find that the maximize of the variance function of the equivalence theorem equal to the number of response. D-optimal designs for multiresponse are illustrated by two examples.

Keywords

multiresponse, mixture experiment, D-optimal, equivalence theorem, equal allocation

Supporting Institution

National Natural Science Foundation of China

Project Number

11671104

Thanks

We would like to thank the Referees and the journal editorial team for providing valuable advice that improved the quality of the original manuscript. This work was supported by the National Nature Sciences Foundation of China (11671104) and the Guangzhou University graduate innovative ability training funding program (2019GDJC-D19).

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