Experimental Designs through Level Reduction of the d-Dimensional Cuboctahedron.
Abstract
Because of its symmetry and uniformity properties, the vertex-set V(d) of a d-dimensional cuboctahedron (the difference body of a regular d-simplex) is useful as an experimental design for the exploration of a response over a sperical region. This paper treats the problem of coordinatizing the containing space (or rotating the design) so as to minimize the number of levels at which the experimental variables are required to appear. Throughout the range of practical interest, 3-level designs are found for all d=3 mod 4, 5-level designs for all d=O or 1 mod 4, and 7-level designs for all d=2 mod 4. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 01, 1971
- Accession Number
- AD0730093
Entities
People
- David H. Doehlert
- Victor L. Klee
Organizations
- University of Washington