Response Surface Design Comparisons
Abstract
Response surface designs are often compared by optimal design theory criteria, such as the D- and G-efficiencies. For designs over spherical regions such criteria are calculated after scaling the designs to have the same diameter. But in practice designs are applied by scaling the coded factor ranges (not the diameter) to the ranges of the experimental factors. The result of this discrepancy between theory and practice is that the mathematical efficiencies may apply to regions of varying sizes. Further, there are practical objectives, such as minimizing the number of runs or testing for lack of fit, that are ignored by optimal design theory. Two examples were given to show the limitations of optimal design theory comparisons. For many symmetric second- order designs, a table giving the following items was provided: number of noncentral design points, number of levels, number of orthogonal blocks, diameter/range ratio, and G-efficiency. Box-Behnken design, Simplicial shell design, Uniform shell design, Central composite design.
Document Details
- Document Type
- Technical Report
- Publication Date
- Oct 01, 1993
- Accession Number
- ADA274690
Entities
People
- Ronald B. Crosier
Organizations
- Edgewood Chemical Biological Center