A-optimal Designs of High-Order Mixture Central Polynomial Model

Xiaoyuan Zhu; Honghua Hao; Chongqi Zhang

doi:10.20944/preprints202407.2222.v1

Preprint Article Version 1 This version is not peer-reviewed

Version 1 : Received: 27 July 2024 / Approved: 28 July 2024 / Online: 30 July 2024 (09:24:37 CEST)

This article systematically studied the A-optimal designs of a high-order mixture central polynomial model, which is an advancement of the research results for the A-optimal design of the most recent third-order mixture central polynomial model and a more accurate response surface model. This article is based on the simplex center design, obtaining measurement values at various design points, and verifying them through the A-optimal equivalence theorem. We also compare the A-efficiency of designs through examples, which can be applied to the A-optimal precise design of the fourth-order mixture model.

central polynomial model; A-optimal design; mixture model; A-efficiency; equivalence theorem

Computer Science and Mathematics, Probability and Statistics

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A-optimal Designs of High-Order Mixture Central Polynomial Model

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