Shell Designs
Abstract
The shell designs consist of two series of related designs (the uniform shell designs and the simplicial shell designs) that are used for fitting second-order response surfaces over spherical regions. The shell designs for two, four, six, and eight factors require fewer experimental runs than the central composite designs or the Box-Behnken designs, but they have not been used much because of their unequal treatment of the design factors. Rotations of the shell designs that provide an equal treatment of the factors are given. The rotated uniform shell designs have seven levels of each factor with the exception of the three-factor design (three levels) and the eight-factor design (five levels). An orthogonal blocking scheme is given for the uniform shell designs with an even number of factors. The simplicial shell designs have nine levels, except for the two-factor and seven-factor designs, which have seven levels, and the three-factor design, which has five levels but is singular. The simplicial shell designs have an orthogonal blocking scheme for any number of factors.
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 01, 1993
- Accession Number
- ADA270656
Entities
People
- Ronald B. Crosier
Organizations
- Edgewood Chemical Biological Center