کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1148486 957836 2013 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A cyclic construction of saturated and supersaturated designs
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
A cyclic construction of saturated and supersaturated designs
چکیده انگلیسی
Supersaturated design (SSD) has received much interest because of its potential in factor screening experiments. Inspired by the construction of cyclic orthogonal designs with prime power run numbers in Plackett and Burman (1946), a method for constructing χ2(D) optimal multi-level SSDs with cyclic structure is explored in this paper. Some newly constructed designs are tabulated for practical use. Meanwhile, some of the resulting designs are shown to be also optimal under the maxχ2 criterion. In addition, we show that a sufficient condition for a balanced mixed-level saturated design to be orthogonal is that the weighted coincidence number between any two distinct rows of this design is a constant. An easier proof for the orthogonality of the Plackett and Burman designs with prime power run numbers is also presented.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Statistical Planning and Inference - Volume 143, Issue 12, December 2013, Pages 2121-2127
نویسندگان
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