Multistratum fractional factorial split-plot designs with minimum aberration and maximum estimation capacity.

*(English)*Zbl 1113.62343Summary: This paper introduces minimum secondary aberration (MSA) and maximum secondary estimation capacity (MSEC) criteria for discriminating among rival nonisomorphic regular multistratum fractional factorial split-plot (FFSP) designs. Some general rules for identifying MSA or MSEC multistratum FFSP designs through their consulting designs are also established. It is an improvement and generalization of related results of [R. Mukerjee and K.-T. Fang [Stat. Sin. 12, No. 3, 885–903 (2002; Zbl 1002.62063)]. A comparison between the MSEC criterion and that of Mukerjee and Fang (loc. cit.) is briefly given.

##### Keywords:

Consulting design; Estimation capacity; Minimum secondary aberration; Multistratum; Fractional factorial split-plot design; Projective geometry
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\textit{M. Ai} and \textit{R. Zhang}, Stat. Probab. Lett. 69, No. 2, 161--170 (2004; Zbl 1113.62343)

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##### References:

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