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Theory of optimal blocking for fractional factorial split-plot designs 被引量:2

Theory of optimal blocking for fractional factorial split-plot designs
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摘要 The issue of optimal blocking for fractional factorial split-plot (FFSP) designs is considered under the two criteria of minimum aberration and maximum estimation capacity. The criteria of minimum secondary aberration (MSA) and maximum secondary estimation capacity (MSEC) are developed for discriminating among rival nonisomorphic blcoked FFSP designs. A general rule for identifying MSA or MSEC blocked FFSP designs through their blocked consulting designs is established. The issue of optimal blocking for fractional factorial split-plot (FFSP) designs is considered under the two criteria of minimum aberration and maximum estimation capacity. The criteria of minimum secondary aberration (MSA) and maximum secondary estimation capacity (MSEC) are developed for discriminating among rival nonisomorphic blcoked FFSP designs. A general rule for identifying MSA or MSEC blocked FFSP designs through their blocked consulting designs is established.
出处 《Science China Mathematics》 SCIE 2005年第5期649-656,共8页 中国科学:数学(英文版)
基金 This work was partially supported by National Natural Science Foundation of China(Grant No.10231030) Chinese Postdoctoral Science Foundation(Grant No.20040350240).
关键词 BLOCKING consulting design estimation capacity minimum secondary aberration fractional factorial split-plot design. blocking, consulting design, estimation capacity, minimum secondary aberration, fractional factorial split-plot design.
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