Abstract In practice, fractional factorial split-plot (FFSP) designs are widely used when the levels of some factors are very difficult to change or control. The factors of an FFSP design are divided into two groups, the whole plot (WP) and subplot (SP) factors. When the WP factors are more important than SP factors, Wang et al. (2019) gave a new optimal criterion for selecting designs, that is, the minimum aberration of type WP (WP-MA). This article considers the construction of WP-MA FFSP designs by using the complementary sets as the main technical tool. The results are then applied to find optimal designs under the WP-MA criterion. Many useful designs are found and tabulated.

中文翻译：

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当整区因子很重要时，通过互补集构建最小像差裂区设计

摘要 在实践中，当某些因素的水平很难改变或控制时，分数因子裂区（FFSP）设计被广泛使用。FFSP 设计的因子分为两组，整区 (WP) 和子区 (SP) 因子。当 WP 因素比 SP 因素更重要时，Wang 等人。(2019) 给出了一个新的选择设计的最佳标准，即 WP 型 (WP-MA) 的最小像差。本文考虑使用互补集作为主要技术工具来构建 WP-MA FFSP 设计。然后将结果应用于 WP-MA 标准下的最佳设计。发现并列出了许多有用的设计。