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Construction of mixed-level fractional factorial split-plot designs with combined minimum aberration

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  • Haosheng Jiang
  • Chongqi Zhang

Abstract

Running agricultural experiments in split-plot configurations is an efficient way to estimate main-effect contrasts with higher precision. In a fractional factorial split-plot design, the hard-to-vary factors are called whole-plot (WP) treatment factors and the easy-to-vary factors are called subplot treatment factors. Yan and Zhao (2022) proposed the combined minimum aberration criterion of WP (WP-MAc) for mixed-level split-plot designs. This article studies the construction methods of the WP-MAc2(n1+n2)−(k1+k2)41 designs with four-level factor in subplot. Some examples are given to illustrate the theories. Finally, the results of 8, 16, 32, 64 runs WP-MAc2(n1+n2)−(k1+k2)4s1 designs are tabulated for possible employ by practitioners.

Suggested Citation

  • Haosheng Jiang & Chongqi Zhang, 2024. "Construction of mixed-level fractional factorial split-plot designs with combined minimum aberration," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 53(21), pages 7560-7581, November.
    • Handle: RePEc:taf:lstaxx:v:53:y:2024:i:21:p:7560-7581
    DOI: 10.1080/03610926.2023.2269442
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