gen.PBCD: Plackett-Burman Composite Designs (Draper and Lin's Method)

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

Description

Generate Plackett-Burman composite designs proposed by Draper and Lin (1990) for k = 3 to 7

Usage

  gen.PBCD(k, alpha ="rotatable", n.center = 0)

Arguments

k	The number of factors or independent variables, k = 3 to 7.
alpha	Axial distance. User may specify "rotatable", "face-center", or other numeric numbers. See examples.
n.center	The number of center points

Value

gen.PBCD is called to generate the data frame of the design matrix of the PBCD

References

SAS 9.1 ADX Interface for Design of Experiments. Cary, NC: SAS Institute Inc.

Examples

 gen.PBCD(3)
 gen.PBCD(4, alpha = 1)
 gen.PBCD(5, alpha = "face-center", n.center = 3)
 gen.PBCD(6, alpha = 2, n.center = 5)

Example output

          X1        X2        X3
1  -1.000000 -1.000000  1.000000
2  -1.000000  1.000000 -1.000000
3   1.000000 -1.000000 -1.000000
4   1.000000  1.000000  1.000000
5  -1.414214  0.000000  0.000000
6   1.414214  0.000000  0.000000
7   0.000000 -1.414214  0.000000
8   0.000000  1.414214  0.000000
9   0.000000  0.000000 -1.414214
10  0.000000  0.000000  1.414214
   X1 X2 X3 X4
1  -1 -1 -1  1
2   1 -1 -1  1
3  -1  1 -1 -1
4   1  1 -1 -1
5  -1 -1  1 -1
6   1 -1  1 -1
7  -1  1  1  1
8   1  1  1  1
9  -1  0  0  0
10  1  0  0  0
11  0 -1  0  0
12  0  1  0  0
13  0  0 -1  0
14  0  0  1  0
15  0  0  0 -1
16  0  0  0  1
   X1 X2 X3 X4 X5
1   1 -1  1  1  1
2   1  1 -1 -1 -1
3  -1  1  1 -1  1
4   1 -1  1 -1  1
5   1  1 -1  1  1
6   1  1  1 -1 -1
7  -1  1  1  1 -1
8  -1 -1  1  1 -1
9  -1 -1 -1 -1  1
10  1 -1 -1  1 -1
11 -1  1 -1  1  1
12 -1 -1 -1 -1 -1
13 -1  0  0  0  0
14  1  0  0  0  0
15  0 -1  0  0  0
16  0  1  0  0  0
17  0  0 -1  0  0
18  0  0  1  0  0
19  0  0  0 -1  0
20  0  0  0  1  0
21  0  0  0  0 -1
22  0  0  0  0  1
23  0  0  0  0  0
24  0  0  0  0  0
25  0  0  0  0  0
   X1 X2 X3 X4 X5 X6
1  -1 -1 -1 -1  1  1
2   1 -1 -1 -1 -1  1
3  -1  1 -1 -1 -1  1
4   1  1 -1 -1  1  1
5  -1 -1  1 -1  1 -1
6   1 -1  1 -1 -1 -1
7  -1  1  1 -1 -1 -1
8   1  1  1 -1  1 -1
9  -1 -1 -1  1  1 -1
10  1 -1 -1  1 -1 -1
11 -1  1 -1  1 -1 -1
12  1  1 -1  1  1 -1
13 -1 -1  1  1  1  1
14  1 -1  1  1 -1  1
15 -1  1  1  1 -1  1
16  1  1  1  1  1  1
17 -2  0  0  0  0  0
18  2  0  0  0  0  0
19  0 -2  0  0  0  0
20  0  2  0  0  0  0
21  0  0 -2  0  0  0
22  0  0  2  0  0  0
23  0  0  0 -2  0  0
24  0  0  0  2  0  0
25  0  0  0  0 -2  0
26  0  0  0  0  2  0
27  0  0  0  0  0 -2
28  0  0  0  0  0  2
29  0  0  0  0  0  0
30  0  0  0  0  0  0
31  0  0  0  0  0  0
32  0  0  0  0  0  0
33  0  0  0  0  0  0

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