Borkowski2003: Small Exact D-, A-, G-, and IV-Optimal Designs

In VdgRsm: Plots of Scaled Prediction Variances for Response Surface Designs

Description

Retrieve small exact D-, A-, G-, and IV-Optimal designs generated by a genetic algorithm. These designs are catalogued by Borkowski (2003).

Usage

  Borkowski2003(criterion, k, N)

Arguments

criterion	Only optimal criteria "D", "A", "G", and "IV" are available now.
k	The number of factor, k = 2 and 3
N	The number of design points

Value

Borkowski2003 is called to generate the data frame of the design matrix of exact optimal designs.

References

Borkowski, J. J. (2003). Using a Genetic Algorithm to Generate Small Exact Response Surface Designs. Journal of Probability and Statistical Science, 1(1):65-88.

Examples

  Borkowski2003("D", 2, 10)
  Borkowski2003("G", 3, 13)
  Borkowski2003("IV", 2, 7)
  Borkowski2003("A", 3, 15)

Example output

          X1        X2
1  -1.000000 -1.000000
2  -1.000000  1.000000
3   1.000000 -1.000000
4   1.000000  1.000000
5   1.000000 -1.000000
6   1.000000  0.099329
7  -0.099329 -1.000000
8  -0.016983  1.000000
9  -1.000000  0.016983
10  0.024346 -0.024346
        X1      X2      X3
1   0.3938 -1.0000 -1.0000
2   1.0000 -0.3938 -1.0000
3   1.0000 -1.0000 -0.3938
4  -1.0000  0.0000  0.0000
5   0.0000  1.0000  0.0000
6   0.0000  0.0000  1.0000
7   1.0000 -1.0000  1.0000
8   1.0000  1.0000 -1.0000
9   1.0000  1.0000  1.0000
10 -1.0000 -1.0000 -1.0000
11 -1.0000 -1.0000  1.0000
12 -1.0000  1.0000 -1.0000
13 -1.0000  1.0000  1.0000
         X1        X2
1  1.000000 -1.000000
2 -1.000000  0.310497
3 -0.310497  1.000000
4  1.000000  0.796856
5 -0.796856 -1.000000
6  0.147869 -0.147869
7  0.147869 -0.147869
$Design
   X1 X2 X3
1  -1 -1 -1
2  -1 -1  1
3  -1  1 -1
4  -1  1  1
5   1 -1 -1
6   1 -1  1
7   1  1 -1
8   1  1  1
9  -1  0  0
10  1  0  0
11  0 -1  0
12  0  1  0
13  0  0 -1
14  0  0  1
15  0  0  0

$note
[1] "This is also an exact IV-optimal design"

VdgRsm documentation built on May 2, 2019, 3:48 p.m.