کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9741785 | 1489781 | 2005 | 26 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Optimal design in irregular BIBD settings
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
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چکیده انگلیسی
When the necessary conditions for a balanced incomplete block design (BIBD) are satisfied, but no BIBD exists, there is no simple answer for the optimal design problem. In such an irregular BIBD setting, identification of an A-optimal or D-optimal design requires a delicate interplay of combinatorics and optimality tools. Here the known theory is extended, giving a more comprehensive picture of the set of potentially optimal designs and affording a better understanding of the relationship between optimality and simple combinatorial measures of symmetry. The theory in conjunction with an intricate search leads to the A- and D-optimal design for D(15,21,5); this is the first known optimal design for an irregular BIBD setting. Insight is also gained on resolvable members of D(15,21,5).
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Statistical Planning and Inference - Volume 129, Issues 1â2, 15 February 2005, Pages 59-84
Journal: Journal of Statistical Planning and Inference - Volume 129, Issues 1â2, 15 February 2005, Pages 59-84
نویسندگان
Brian Reck, J.P. Morgan,