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Optimal mixed-level k-circulant supersaturated designs
- Source :
-
Journal of Statistical Planning & Inference . Dec2008, Vol. 138 Issue 12, p4151-4157. 7p. - Publication Year :
- 2008
-
Abstract
- Abstract: Supersaturated designs (SSDs) offer a potentially useful way to investigate many factors with only few experiments in the preliminary stages of experimentation. This paper explores how to construct -optimal mixed-level SSDs using k-cyclic generators. The necessary and sufficient conditions for the existence of mixed-level k-circulant SSDs with the equal occurrence property are provided. Properties of the mixed-level k-circulant SSDs are investigated, in particular, the sufficient condition under which the generator vector produces an -optimal SSD is obtained. Moreover, many new -optimal mixed-level SSDs are constructed and listed. The method here generalizes the one proposed by Liu and Dean [2004. -circulant supersaturated designs. Technometrics 46, 32–43] for two-level SSDs and the one due to Georgiou and Koukouvinos [2006. Multi-level k-circulant supersaturated designs. Metrika 64, 209–220] for the multi-level case. [Copyright &y& Elsevier]
- Subjects :
- *MATHEMATICS
*EXPERIMENTS
*MATHEMATICAL models
*SIMULATION methods & models
Subjects
Details
- Language :
- English
- ISSN :
- 03783758
- Volume :
- 138
- Issue :
- 12
- Database :
- Academic Search Index
- Journal :
- Journal of Statistical Planning & Inference
- Publication Type :
- Academic Journal
- Accession number :
- 34055157
- Full Text :
- https://doi.org/10.1016/j.jspi.2008.03.025