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題 名 | Equivalence of Fractional Factorial Designs |
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作 者 | Clark,James B.; Dean,A. M.; | 書刊名 | Statistica Sinica |
卷 期 | 11:2 2001.04[民90.04] |
頁 次 | 頁537-547 |
分類號 | 319.9 |
關鍵詞 | Design equivalence; Fractional factorial experiment; Hamming distance; |
語 文 | 英文(English) |
英文摘要 | Two designs for a fractional factorial experiment are equivalent if one can be obtained from the other by reordering the treatment combinations, relabeling the factors and relabeling the factor levels. Designs can be viewed as sets of points in p-dimensional space, where p is the number of factors. It is shown that, in this setting, two designs are equivalent if the Hamming distances between the points are the same in all possible dimensions. An algorithm is given, based on this representation, that can detect distinct designs for 2[8e6b] experiments without a complete search of all reorderings and relabelings in the fraction. In addition, if two designs are equivalent, the algorithm gives a set of permutations which map one design to the other. |
本系統中英文摘要資訊取自各篇刊載內容。