Orthogonal-array composite design for the third-order models |
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| Authors: | Xue-Ru Zhang Zong-Feng Qi Feng Yang |
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| Institution: | 1. State Key Laboratory of Complex Electromagnetic Environment Effects on Electronics and Information System, Luoyang, China;2. College of Mathematics, Sichuan University, Chengdu, China;3. College of Mathematics, Sichuan University, Chengdu, China |
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| Abstract: | In many industrial trials, the second-order models may not be enough to fit the non linearity of the underlying model, and the third-order models may be considered. In this article, the orthogonal-array composite design (OACD), combined with two-level OA and four-level OA and denoted by OACD4, is proposed to estimate the second-order and third-order models. It is shown that OACD4 has good properties and has higher efficiency than other types of designs for the third-order models, and OACD4 can perform multiple analysis for cross-validation. The usefulness of OACD4 is also shown by a case study for polymer synthesis experiment. |
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| Keywords: | Central composite design D-efficiency Orthogonal-array composite design Third-order model Uniform design |
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