Minimum aberration 412n designs via secondary complementary sets

Yuliang Zhou, Shengli Zhao and Qianqian Zhao

Communications in Statistics - Theory and Methods, 2024, vol. 53, issue 11, 4153-4171

Abstract: Mixed-level designs are widely used in various experiments. This paper considers how to construct minimum aberration 412n mixed-level designs. Based on finite projective geometry, secondary complementary set is defined as part of the design which plays a crucial role in constructing the optimal designs. Then, algebraic connection between the wordlength pattern of a 412n design and that of its secondary complementary set is established. According to the connection, some general rules for identifying type 0 minimum aberration 412n mixed-level designs are proposed via their secondary complementary sets. Those rules can help construct minimum aberration 412n designs conveniently when the secondary complementary set contains fewer elements than the complementary set. The type 0 minimum aberration 412n designs with large n are tabulated via secondary complementary sets.

Date: 2024
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DOI: 10.1080/03610926.2023.2174787

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