Relative Efficiency Criteria for the Six Specific Calculus Optimum Values Second Order Rotatable Designs with a Practical Example on Twenty-Four Points

Abstract

In this study we focus on the existing six specific calculus optimum second order rotatable designs in three dimensions denoted by M_1, M_2, M_3, M_4, M_5, and M₆ as illustrated in the text form. A design matrix X is developed from the designs and the information matrices C_1, C_2, C_3, C_4, C_5, and C₆ are obtained and hence the relative efficienciesA-, D-, E-, T and I/IV- for the six specific Calculus optimum values designs are evaluated. From the results it is evident that the determinant criterion (D_eff) for the six designs has the highest relative efficiency average. is found to be the most efficient design as compared to the rest.