کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1148461 957835 2008 17 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
An isomorphism check for two-level fractional factorial designs
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
An isomorphism check for two-level fractional factorial designs
چکیده انگلیسی
Two fractional factorial designs are isomorphic if one can be obtained from the other by reordering the treatment combinations, relabelling the factor levels and relabelling the factors. By defining a word-pattern matrix, we are able to create a new isomorphism check which is much faster than existing checks for certain situations. We combine this with a new, extremely fast, sufficient condition for non-isomorphism to avoid checking certain cases. We then create a faster search algorithm by combining the Bingham and Sitter [1999. Minimum aberration fractional factorial split-plot designs. Technometrics 41, 62-70] search algorithm, the isomorphism check algorithm of Clark and Dean [2001. Equivalence of fractional factorial designs. Statist. Sinica 11, 537-547] with our proposed isomorphism check. The algorithm is used to extend the known set of existing non-isomorphic 128-run two-level regular designs with resolution ⩾4 to situations with 12, 13, 14, 15 and 16 factors, 256- and 512-run designs with resolution ⩾5 and ⩽17 factors and 1024-run even designs with resolution ⩾6 and ⩽18 factors.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Statistical Planning and Inference - Volume 138, Issue 4, 1 April 2008, Pages 1085-1101
نویسندگان
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