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Orthogonal-array composite design for the third-order models

Xue-Ru Zhang, Zong-Feng Qi, Yong-Dao Zhou and Feng Yang

Communications in Statistics - Theory and Methods, 2018, vol. 47, issue 14, 3488-3507

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.

Date: 2018
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DOI: 10.1080/03610926.2017.1359297

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