Mixed two- and four-level split-plot designs with combined minimum aberration

Zhaohui Yan and Shengli Zhao ()
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Zhaohui Yan: Qufu Normal University
Shengli Zhao: Qufu Normal University

Metrika: International Journal for Theoretical and Applied Statistics, 2022, vol. 85, issue 5, No 1, 537-555

Abstract: Abstract When the levels of some factors in an experiment are difficult to be changed or controlled, fractional factorial split-plot (FFSP) designs are commonly used in which the factors are classified as the whole plot (WP) and sub-plot (SP) factors. Mixed-level designs are used in practice when the levels of the factors are not equal to each other. This paper considers the mixed-level FFSP designs with the WP factors being more important than the SP factors. It proposes the combined minimum aberration criterion of type WP (WP-MA $$^{c}$$ c ) for mixed-level FFSP designs. Some optimal mixed-level FFSP designs are constructed under the WP-MA $$^{c}$$ c criterion.

Keywords: Minimum aberration; Split-plot; Mixed-level; Wordlength pattern; 62K15; 62K05 (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1007/s00184-021-00838-x

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