ENBIS-18 in Nancy

2 – 25 September 2018; Ecoles des Mines, Nancy (France) Abstract submission: 20 December 2017 – 4 June 2018

Building Designs for Irregularly Shaped DoE Spaces

4 September 2018, 14:50 – 15:10

Abstract

Submitted by
Pat Whitcomb
Authors
Pat Whitcomb (Stat-Ease, Inc.), Shari Kraber (Stat-Ease, Inc.), Martin Bezener (Stat-Ease, Inc.)
Abstract
A common problem when designing experiments is how to deal with factor ranges that create unusually-shaped design spaces. Classic designs like central composite designs don’t work. In this presentation, two methods for constraining irregularly shape experimental regions will be shown. The first method is specific for linear constraints that form a convex space. The second method is more general and works for non-linear constraints and/or concave spaces. Examples are shown that demonstrate building optimal designs for constrained experimental regions with:
• multiple linear constraints that form a convex experimental region,
• multiple linear constraints that form a concave experimental region
and
• a non-linear constraint.
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