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Irregular fractional factorial designs are widely used in screening experiments. Several analysis methods were proposed for identifying main effects and their interactions in the past twenty years. The goal of this research was to evaluate the performance of two Bayesian and two Frequentist approaches using some real data. The two Bayesian approaches are Bayes screening method and Empirical Bayes method. The two Frequentist approaches are traditional stepwise variable selection method and least angle regression method. The comparison of analysis methods is demonstrated using A & D optimality and A & D efficiency, the results obtained showed that the Frequentist approach is the best. We recommend the use of Frequentist approach in analyzing irregular fractional factorial designs at two levels because it works with current data and takes into consideration that variability comes from our sampling.

iosr journal of mathematics

Comparing The Performance of Bayesian And Frequentist Analysis Methods of Irregular Fractional Factorials Using Design Based optimality And Efficiency Criteria