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

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Hacettepe Journal of Mathematics and Statistics
Volume:50 Issue:4
Equivalence theorem of $D$-optimal equal allocation design for multiresponse mixture experiments

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

Authors : Xiaoyuan ZHU, Honghua HAO, Weixia Lİ, Chongqi ZHANG

Pages : 1212-1224

Doi:10.15672/hujms.777430

View : 20 | Download : 7

Publication Date : 2021-08-06

Article Type : Research Paper

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

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