Construction of Alternative Axial Points Using Standard Axial Points of Central Composite Design

Authors

  • Thomas Ugbe Department of Statistics, University of Calabar, Calabar, Nigeria
  • Edet Bassey Department of Statistics, University of Calabar, Calabar, Nigeria
  • Richmond Ofonodo Department of Statistics, University of Calabar, Calabar, Nigeria
  • Uduakobong Umondak Department of Statistics, University of Calabar, Calabar, Nigeria

Keywords:

Axial points, Optimality Criteria, Factorial points, Response Surface, Central composite design

Abstract

There has been an over-flogged attention given to propositions on how one can make good choice of the existing axial points rather than procedural techniques for constructing axial points about the existing axial points. In order to curb this oversight, this work has constructed axial points about the standard axial points. The construction has given rise to * = 0.99k (where k is the number of factors) in  comparison to the standard axial points  =     (where f is the number of factorial points).   Both axial points have been implemented on a central composite design used for maximizing a  four-factor process. The constructed axial points produced yields of  about 87.211%, better than  the yield of 87.187% produced by the standard axial points. Furthermore, the central composite  design resulting from the constructed axial points satisfied the D-, A- and  E-optimality criteria  in comparison to that obtained from the standard or existing axial points.

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Published

2022-02-23

How to Cite

Ugbe, T. ., Edet Bassey, Richmond Ofonodo, & Uduakobong Umondak. (2022). Construction of Alternative Axial Points Using Standard Axial Points of Central Composite Design. American Scientific Research Journal for Engineering, Technology, and Sciences, 86(1), 104–130. Retrieved from https://asrjetsjournal.org/index.php/American_Scientific_Journal/article/view/7144

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