Extension of Central Composite Design for Second-Order Response Surface Model Building

Abstract

The central composite design (CCD) is perhaps the most popular class of second-order response surface designs. Even though the CCDs are popular for response surface designs, this class of design has some limitations such as it does not sometimes possess good statistical properties, and it does not fit complicated models well. In this article, we propose extended central composite designs (ECCDs) to overcome these limitations. We compare ECCDs with CCDs in terms of average prediction variance, and find that ECCDs are better than CCDs.

Keywords:

• Extended central composite design
• Orthogonality
• Response surface design
• Rotatability
• Slope-rotatability
• Uniform precision

Mathematics Subject Classification:

• Primary 62K20
• Secondary 62K05