On Comparing the Optimality Criteria Performance of Resolution IV And Resolution V Factorial Designs.

Raphael Michael Ugochukwu; Odo Kenneth Ejiofor; Nwanya J. C.

doi:10.52589/AJMSS-G1PFH8G8

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On Comparing the Optimality Criteria Performance of Resolution IV And Resolution V Factorial Designs.

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Publication Date: 2024-11-25

DOI: 10.52589/AJMSS-G1PFH8G8

Volume/Issue: Volume 7, Issue 4 (2024)

Page No: 248 - 262

Journal: African Journal of Mathematics and Statistics Studies

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Abstract:

This study looks at the optimality criteria performances on the factorial design of Resolution IV and Resolution V. The Comparative studies of Resolution IV and Resolution V design were evaluated using the D, G, and I-optimality criteria. The FDS plots where also used. The results showed that in all the factors k considered, Resolution V has a better factorial design when it comes to D- optimality, G- optimality and I-optimality, but when the interest is on the spread of the scale prediction variance, Resolution IV is preferred. The FDS plots for Resolution IV and V design were relatively the same for factors k = 6 and k = 10.

Keywords:Optimality criteriaresolution iv and resolution vfactorial designsD-optimalityI-optimalityG-optimalityDesign matrixFraction of Design Space (FDS) Plots.

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All articles are published open access under the Creative Commons Attribution 4.0 International (CC BY 4.0) licence, which permits use, sharing, adaptation, distribution, and reproduction in any medium or format, including for commercial purposes, provided appropriate credit is given to the original author(s) and source.

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Copyrights

Authors retain copyright in their articles and have unrestricted rights to reuse, republish, archive, share, and distribute their work after publication.
All articles are published open access under the Creative Commons Attribution 4.0 International (CC BY 4.0) licence, which permits use, sharing, adaptation, distribution, and reproduction in any medium or format, including for commercial purposes, provided appropriate credit is given to the original author(s) and source.