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

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

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African Journal of Mathematics and Statistics Studies

Vol. 7Issue 42024pp. 248–262Published 25 November 2024

DOI 10.52589/AJMSS-G1PFH8G8

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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 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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