کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1150226 | 957919 | 2010 | 11 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
On construction of general minimum lower order confounding 2n−m designs with N/4+1≤n≤9N/32N/4+1≤n≤9N/32
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
The construction of optimal 2n−m designs with N/4+1≤n≤9N/32N/4+1≤n≤9N/32, where N=2n−m is the run size, and their comparison under different criteria have received significant attention in recent years. In this paper, we first prove that the MaxC2 design with n=N/4+1 is unique up to isomorphism and has general minimum lower order confounding (GMC). Then, by utilizing the theory of doubling and second order saturated resolution IV designs extended by Zhang and Cheng (2010), we propose a method of constructing GMC design and obtain all the GMC designs with N/4+1≤n≤9N/32N/4+1≤n≤9N/32 up to isomorphism. Finally, we show that, for all N and n in the above range, the MA and GMC designs are different.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Statistical Planning and Inference - Volume 140, Issue 9, September 2010, Pages 2384–2394
Journal: Journal of Statistical Planning and Inference - Volume 140, Issue 9, September 2010, Pages 2384–2394
نویسندگان
Yi Cheng, Runchu Zhang,