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Some Properties of β-wordlength Pattern for Four-level Designs
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作者 Wei Wei SHENG xia ming li Yu TANG 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2015年第7期1163-1170,共8页
Fractional factorial designs have played a prominent role in the theory and practice of experimental design. For designs with qualitative factors under an ANOVA model, the minimum aber-ration criterion has been freque... Fractional factorial designs have played a prominent role in the theory and practice of experimental design. For designs with qualitative factors under an ANOVA model, the minimum aber-ration criterion has been frequently used; however, for designs with quantitative factors, a polynomial regression model is often established, thus the β-wordlength pattern can be employed to compare different fractional factorial designs. Although the β-wordlength pattern was introduced in 2004, its properties have not been investigated extensively. In this paper, we will present some properties of β-wordlength pattern for four-level designs. These properties can help find better designs with quan- titative factors. 展开更多
关键词 β-wordlength pattern FOUR-LEVEL fractional factorial design
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