Fraction of design space plots for evaluating orthogonal composite designs

Abstract

In this paper, the stability of the prediction variance of orthogonal composite designs (orthogonal array composite, orthogonal array composite minimax loss, orthogonal uniform composite and orthogonal uniform composite minimax loss designs) was evaluated and compared for $3\le k\le 6$ using the fraction of design space plot in the hypersphere and hypercube regions. These designs were shown to have stable and consistent scaled prediction variance (SPV) throughout the design region. The orthogonal array composite minimax loss designs performed better with the least SPV than the other orthogonal composite designs for most factors in the hypersphere region. Also, the orthogonal array composite designs performed better in the hypercube region compared to other competing designs.

Keywords:

• Second-order model
• response surface designs
• orthogonal composite designs
• prediction variance
• fraction of design space plot
• efficiency
• hypersphere and hypercube

Disclosure statement

No potential conflict of interest was reported by the authors.