Symmetric Orientations for Simplex Designs
Abstract
Designs for fitting first-order response surfaces over spherical regions are often constructed from the vertices of regular geometric figures. Designs constructed from cubes (the two-level factorial designs) are naturally oriented so that the designs treat the factors equally, but the simplex designs are usually presented in an orientation that gives the factors unequal, asymmetric ranges. The unequal, asymmetric ranges of the coded design factors create a problem in applying the designs. The geometric and statistical properties of the design must be distorted to give the experimental factors the desired ranges. Symmetric orientations are given for the simplex designs for 4, 5, 6, 8, 9, 10, 12, and 13 factors. The simplex designs for 5 or more factors have 6 levels of the factors in the new orientations. Design rotation, Response surface design.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jul 01, 1993
- Accession Number
- ADA269796
Entities
People
- Ronald B. Crosier
Organizations
- Edgewood Chemical Biological Center