Evaluating Response Surface and Optimal Designs with the Fraction of Design Space (FDS) Plot

Abstract

Power analysis is very useful to assist in the design of 2 level factorial and fractional-factorial experiments. In a similar manner, the Fraction of Design Space (FDS) Plot assists the practitioner to select and right size their multi-level response surface and optimal designs.  The FDS Plot provides a visual representation of how well the design covers the experimental space and helps in assessing the precision of predictions that can be made from the design. This can be used to compare and select Central Composite vs Box-Behnken, number of center points, number of replicates and optimality criterion. This tool will be demonstrated using SigmaXL software with examples.