期刊
ANNALS OF STATISTICS
卷 39, 期 2, 页码 1310-1333出版社
INST MATHEMATICAL STATISTICS
DOI: 10.1214/11-AOS877
关键词
Coincidence number; difference matrix; equidistant design; induced matrix; orthogonal array
资金
- NNSF of China [10971107]
- Program for New Century Excellent Talents in University of China [NCET-07-0454]
Supersaturated design (SSD) has received much recent interest because of its potential in factor screening experiments. In this paper, we provide equivalent conditions for two columns to be fully aliased and consequently propose methods for constructing E(f(NoD))- and chi(2)-optimal mixed-level SSDs without fully aliased columns, via equidistant designs and difference matrices. The methods can be easily performed and many new optimal mixed-level SSDs have been obtained. Furthermore, it is proved that the nonorthogonality between columns of the resulting design is well controlled by the source designs. A rather complete list of newly generated optimal mixed-level SSDs are tabulated for practical use.
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