Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1150005 | Journal of Statistical Planning and Inference | 2008 | 12 Pages |
Abstract
Criterion is essential for measuring the goodness of an experimental design. In this paper, lower bounds of various criteria in experimental designs will be reviewed according to methodology of their construction. The criteria include most well-known ones which are frequently used as benchmarks for orthogonal array, uniform design, supersaturated design and other types of designs. To derive the lower bounds of these criteria, five different approaches are explored. Some new results are given. Throughout the paper, some relationships among different types of lower bounds are also discussed.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Kai-Tai Fang, Yu Tang, Jianxing Yin,