In the Evaluate Design platform, D, G, and A, efficiency is reported. The descriptions of the efficiency measures use the following notation:
• X is the model matrix
• n is the number of runs in the design
• p is the number of terms, including the intercept, in the model
• is the relative prediction variance at the point . See “Relative Prediction Variance”.
• is the maximum relative prediction variance over the design region
The efficiency of the design to that of an ideal orthogonal design in terms of the D-optimality criterion. A design is D-optimal if it minimizes the volume of the joint confidence region for the vector of regression coefficients:
The efficiency of the design to that of an ideal orthogonal design in terms of the G-optimality criterion. A design is G-optimal if it minimizes the maximum prediction variance over the design region:
Letting D denote the design region,
Note: G-Efficiency is calculated using Monte Carlo sampling of the design space. Therefore, calculations for the same design might vary slightly.
The efficiency of the design to that of an ideal orthogonal design in terms of the A-optimality criterion. A design is A-optimal if it minimizes the sum of the variances of the regression coefficients: