Minimum Aberration Split-Plot Designs Focusing on the Whole Plot Factors

Minyang Hu and Shengli Zhao
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Minyang Hu: School of Statistics and Data Science, Qufu Normal University, Qufu 273165, China
Shengli Zhao: School of Statistics and Data Science, Qufu Normal University, Qufu 273165, China

Mathematics, 2022, vol. 10, issue 5, 1-12

Abstract: In some experiments, the levels of some factors are difficult to change; then fractional factorial split-plot (FFSP) designs are suitable for selection. In an FFSP design, the factors are divided into two classes—the whole plot (WP) and subplot (SP) factors. In some experiments, the selection of the levels of the WP factors can affect that of the SP factors, which attracts much attention to the WP factors. Paying more attention to the WP factors, a new optimality criterion for selecting such FFSP designs is proposed. The robustness of the proposed method is discussed. The construction method of the optimal designs under the new criterion is studied.

Keywords: fractional factorial design; split-plot design; minimum aberration (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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