Extended Central Composite Designs for Second-order Model: A Performance Comparison

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Published: 2023-04-19

Page: 98-111


Ngozi C. Umelo-Ibemere *

Department of Statistics, Federal University of Technology, Owerri, Nigeria.

*Author to whom correspondence should be addressed.


Abstract

The prediction capabilities of three types of rotatable extended central composite designs for fitting the second-order response surface model are studied and their performance compared with the widely used central composite design. The methods of comparison employed are graphical using quantile plots, D- and G-efficiencies. All the compared designs have stable prediction variance. None of them is consistently better than the other. However, the second-type extended central composite design and the central composite design with two center points have the highest D- and G-efficiency values respectively.

Keywords: D-efficiency, G-efficiency, prediction variance, quantile plots, rotatability


How to Cite

Umelo-Ibemere, N. C. (2023). Extended Central Composite Designs for Second-order Model: A Performance Comparison. Asian Journal of Pure and Applied Mathematics, 5(1), 98–111. Retrieved from https://globalpresshub.com/index.php/AJPAM/article/view/1798

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