TY - JOUR
T1 - Lower bounds of various criteria in experimental designs
AU - Fang, Kai Tai
AU - Tang, Yu
AU - Yin, Jianxing
N1 - Funding Information:
We would thank Fred J. Hickernell, Dennis, K.J. Lin and Rahul Mukerjee's valuable comments. The authors would like to thank the anonymous referee for their constructive comments. Fang's research was partially supported by the Hong Kong RGC grant RGC/HKBU 200804, Hong Kong Baptist University FRG grant FRG/03-04/II-711, and Yin's research was supported by an NSF Grant 10371086.
PY - 2008/1/1
Y1 - 2008/1/1
N2 - 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.
AB - 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.
KW - Fractional factorial design
KW - Lower bound
KW - Supersaturated design
KW - Uniform design
UR - http://www.scopus.com/inward/record.url?scp=34548831077&partnerID=8YFLogxK
U2 - 10.1016/j.jspi.2007.05.013
DO - 10.1016/j.jspi.2007.05.013
M3 - Article
AN - SCOPUS:34548831077
SN - 0378-3758
VL - 138
SP - 184
EP - 195
JO - Journal of Statistical Planning and Inference
JF - Journal of Statistical Planning and Inference
IS - 1
ER -