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

Publication Date: 25/11/2024

DOI: 10.52589/AJMSS-G1PFH8G8


Author(s): Raphael Michael Ugochukwu, Odo Kenneth Ejiofor, Nwanya J. C..

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



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 criteria, resolution iv and resolution v, factorial designs, D-optimality, I-optimality, G-optimality, Design matrix, Fraction of Design Space (FDS) Plots.


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