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Study of Central Composite Design and Orthogonal Array Composite Design

In: Contemporary Experimental Design, Multivariate Analysis and Data Mining

Author

Listed:
  • Si Qiu

    (Central China Norm University, School of Mathematics and Statistics)

  • Minyu Xie

    (Central China Norm University, School of Mathematics and Statistics)

  • Hong Qin

    (Central China Norm University, School of Mathematics and Statistics)

  • Jianhui Ning

    (Central China Norm University, School of Mathematics and Statistics)

Abstract

Response surface methodology (RSM) is an effective tool for exploring the relationships between the response and the input factors. Central composite design (CCD) and orthogonal array composite design (OACD) are useful second-order designs in response surface methodology. In this work, we consider the efficiencies of the two classes of composite designs for general case. Assuming the second-order polynomial model, the D-efficiency of CCDs and OACDs are studied for general value of $$\alpha $$ in star points. Moreover, the determination of $$\alpha $$ is also discussed from the perspective of space-filling criterion.

Suggested Citation

  • Si Qiu & Minyu Xie & Hong Qin & Jianhui Ning, 2020. "Study of Central Composite Design and Orthogonal Array Composite Design," Springer Books, in: Jianqing Fan & Jianxin Pan (ed.), Contemporary Experimental Design, Multivariate Analysis and Data Mining, chapter 0, pages 163-175, Springer.
    • Handle: RePEc:spr:sprchp:978-3-030-46161-4_10
    DOI: 10.1007/978-3-030-46161-4_10
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