gen.Roquemore: Roquemore's Hybrid Designs
In VdgRsm: Plots of Scaled Prediction Variances for Response Surface Designs
Description
Usage
Arguments
Value
References
Examples
Description
Generate Roquemore (1976) hybrid designs for k = 3, 4, and 6. For k = 3, R310, R311A, and R311B will be produced, for k = 4, R416A, R416B, and R416C will be generated, and for k = 6 R628A and R628B will be given.
Usage
1
gen.Roquemore(k, n.center = 0)
Arguments
k
The number of factors or independent variables, k = 3, 4, and 6.
n.center
The number of center points
Value
gen.Roquemore will retrieve the hybrid design points stored and the output is a list containing relevant Roquemore's designs given a k value.
References
SAS 9.1 ADX Interface for Design of Experiments. Cary, NC: SAS Institute Inc.
Examples
1
2
3
gen.Roquemore(3)
gen.Roquemore(4, n.center = 2)
gen.Roquemore(6, n.center = 1)
Example output
$R310
X1 X2 X3
1 0.000 0.000 1.2906
2 0.000 0.000 -0.1360
3 -1.000 -1.000 0.6386
4 1.000 -1.000 0.6386
5 -1.000 1.000 0.6386
6 1.000 1.000 0.6386
7 1.736 0.000 -0.9273
8 -1.736 0.000 -0.9273
9 0.000 1.736 -0.9273
10 0.000 -1.736 -0.9273
$R311A
X1 X2 X3
1 0.000000 0.000000 1.4142136
2 0.000000 0.000000 -1.4142136
3 -1.000000 -1.000000 0.7071068
4 1.000000 -1.000000 0.7071068
5 -1.000000 1.000000 0.7071068
6 1.000000 1.000000 0.7071068
7 1.414214 0.000000 -0.7071068
8 -1.414214 0.000000 -0.7071068
9 0.000000 1.414214 -0.7071068
10 0.000000 -1.414214 -0.7071068
11 0.000000 0.000000 0.0000000
$R311B
X1 X2 X3
1 0.0000 0.0000 2.44949
2 0.0000 0.0000 -2.44949
3 -0.7507 2.1063 1.00000
4 2.1063 0.7507 1.00000
5 0.7507 -2.1063 1.00000
6 -2.1063 -0.7507 1.00000
7 0.7507 2.1063 -1.00000
8 2.1063 -0.7507 -1.00000
9 -0.7507 -2.1063 -1.00000
10 -2.1063 0.7507 -1.00000
11 0.0000 0.0000 0.00000
$R416A
X1 X2 X3 X4
1 0.0000 0.0000 0.0000 1.7844
2 0.0000 0.0000 0.0000 -1.4945
3 -1.0000 -1.0000 -1.0000 0.6444
4 1.0000 -1.0000 -1.0000 0.6444
5 -1.0000 1.0000 -1.0000 0.6444
6 1.0000 1.0000 -1.0000 0.6444
7 -1.0000 -1.0000 1.0000 0.6444
8 1.0000 -1.0000 1.0000 0.6444
9 -1.0000 1.0000 1.0000 0.6444
10 1.0000 1.0000 1.0000 0.6444
11 1.6853 0.0000 0.0000 -0.9075
12 -1.6853 0.0000 0.0000 -0.9075
13 0.0000 1.6853 0.0000 -0.9075
14 0.0000 -1.6853 0.0000 -0.9075
15 0.0000 0.0000 1.6853 -0.9075
16 0.0000 0.0000 -1.6853 -0.9075
17 0.0000 0.0000 0.0000 0.0000
18 0.0000 0.0000 0.0000 0.0000
$R416B
X1 X2 X3 X4
1 0.0000 0.0000 0.0000 1.7317
2 0.0000 0.0000 0.0000 -0.2692
3 -1.0000 -1.0000 -1.0000 0.6045
4 1.0000 -1.0000 -1.0000 0.6045
5 -1.0000 1.0000 -1.0000 0.6045
6 1.0000 1.0000 -1.0000 0.6045
7 -1.0000 -1.0000 1.0000 0.6045
8 1.0000 -1.0000 1.0000 0.6045
9 -1.0000 1.0000 1.0000 0.6045
10 1.0000 1.0000 1.0000 0.6045
11 1.5177 0.0000 0.0000 -1.0498
12 -1.5177 0.0000 0.0000 -1.0498
13 0.0000 1.5177 0.0000 -1.0498
14 0.0000 -1.5177 0.0000 -1.0498
15 0.0000 0.0000 1.5177 -1.0498
16 0.0000 0.0000 -1.5177 -1.0498
17 0.0000 0.0000 0.0000 0.0000
18 0.0000 0.0000 0.0000 0.0000
$R416C
X1 X2 X3 X4
1 0.0000 0.0000 0.0000 1.7654
2 -1.0000 -1.0000 -1.0000 0.5675
3 1.0000 -1.0000 -1.0000 0.5675
4 -1.0000 1.0000 -1.0000 0.5675
5 1.0000 1.0000 -1.0000 0.5675
6 -1.0000 -1.0000 1.0000 0.5675
7 1.0000 -1.0000 1.0000 0.5675
8 -1.0000 1.0000 1.0000 0.5675
9 1.0000 1.0000 1.0000 0.5675
10 1.4697 0.0000 0.0000 -1.0509
11 -1.4697 0.0000 0.0000 -1.0509
12 0.0000 1.4697 0.0000 -1.0509
13 0.0000 -1.4697 0.0000 -1.0509
14 0.0000 0.0000 1.4697 -1.0509
15 0.0000 0.0000 -1.4697 -1.0509
16 0.0000 0.0000 0.0000 0.0000
17 0.0000 0.0000 0.0000 0.0000
18 0.0000 0.0000 0.0000 0.0000
$R628A
X1 X2 X3 X4 X5 X6
1 0 0 0 0 0 2.3094011
2 -1 -1 -1 -1 -1 0.5773503
3 1 1 -1 -1 -1 0.5773503
4 1 -1 1 -1 -1 0.5773503
5 -1 1 1 -1 -1 0.5773503
6 1 -1 -1 1 -1 0.5773503
7 -1 1 -1 1 -1 0.5773503
8 -1 -1 1 1 -1 0.5773503
9 1 1 1 1 -1 0.5773503
10 1 -1 -1 -1 1 0.5773503
11 -1 1 -1 -1 1 0.5773503
12 -1 -1 1 -1 1 0.5773503
13 1 1 1 -1 1 0.5773503
14 -1 -1 -1 1 1 0.5773503
15 1 1 -1 1 1 0.5773503
16 1 -1 1 1 1 0.5773503
17 -1 1 1 1 1 0.5773503
18 2 0 0 0 0 -1.1547005
19 -2 0 0 0 0 -1.1547005
20 0 2 0 0 0 -1.1547005
21 0 -2 0 0 0 -1.1547005
22 0 0 2 0 0 -1.1547005
23 0 0 -2 0 0 -1.1547005
24 0 0 0 2 0 -1.1547005
25 0 0 0 -2 0 -1.1547005
26 0 0 0 0 2 -1.1547005
27 0 0 0 0 -2 -1.1547005
28 0 0 0 0 0 0.0000000
29 0 0 0 0 0 0.0000000
$R628B
X1 X2 X3 X4 X5 X6
1 0.0000 0.0000 0.0000 0.0000 0.0000 2.3677
2 -1.0000 -1.0000 -1.0000 -1.0000 -1.0000 0.6096
3 1.0000 1.0000 -1.0000 -1.0000 -1.0000 0.6096
4 1.0000 -1.0000 1.0000 -1.0000 -1.0000 0.6096
5 -1.0000 1.0000 1.0000 -1.0000 -1.0000 0.6096
6 1.0000 -1.0000 -1.0000 1.0000 -1.0000 0.6096
7 -1.0000 1.0000 -1.0000 1.0000 -1.0000 0.6096
8 -1.0000 -1.0000 1.0000 1.0000 -1.0000 0.6096
9 1.0000 1.0000 1.0000 1.0000 -1.0000 0.6096
10 1.0000 -1.0000 -1.0000 -1.0000 1.0000 0.6096
11 -1.0000 1.0000 -1.0000 -1.0000 1.0000 0.6096
12 -1.0000 -1.0000 1.0000 -1.0000 1.0000 0.6096
13 1.0000 1.0000 1.0000 -1.0000 1.0000 0.6096
14 -1.0000 -1.0000 -1.0000 1.0000 1.0000 0.6096
15 1.0000 1.0000 -1.0000 1.0000 1.0000 0.6096
16 1.0000 -1.0000 1.0000 1.0000 1.0000 0.6096
17 -1.0000 1.0000 1.0000 1.0000 1.0000 0.6096
18 2.1749 0.0000 0.0000 0.0000 0.0000 -1.0310
19 -2.1749 0.0000 0.0000 0.0000 0.0000 -1.0310
20 0.0000 2.1749 0.0000 0.0000 0.0000 -1.0310
21 0.0000 -2.1749 0.0000 0.0000 0.0000 -1.0310
22 0.0000 0.0000 2.1749 0.0000 0.0000 -1.0310
23 0.0000 0.0000 -2.1749 0.0000 0.0000 -1.0310
24 0.0000 0.0000 0.0000 2.1749 0.0000 -1.0310
25 0.0000 0.0000 0.0000 -2.1749 0.0000 -1.0310
26 0.0000 0.0000 0.0000 0.0000 2.1749 -1.0310
27 0.0000 0.0000 0.0000 0.0000 -2.1749 -1.0310
28 0.0000 0.0000 0.0000 0.0000 0.0000 -1.8110
29 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
VdgRsm documentation built on May 2, 2019, 3:48 p.m.
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Description Usage Arguments Value References Examples
Description
Generate Roquemore (1976) hybrid designs for k = 3, 4, and 6. For k = 3, R310, R311A, and R311B will be produced, for k = 4, R416A, R416B, and R416C will be generated, and for k = 6 R628A and R628B will be given.
Usage
1 | gen.Roquemore(k, n.center = 0)
|
Arguments
k |
The number of factors or independent variables, k = 3, 4, and 6. |
n.center |
The number of center points |
Value
gen.Roquemore will retrieve the hybrid design points stored and the output is a list containing relevant Roquemore's designs given a k value.
References
SAS 9.1 ADX Interface for Design of Experiments. Cary, NC: SAS Institute Inc.
Examples
1 2 3 | gen.Roquemore(3)
gen.Roquemore(4, n.center = 2)
gen.Roquemore(6, n.center = 1)
|
Example output
$R310
X1 X2 X3
1 0.000 0.000 1.2906
2 0.000 0.000 -0.1360
3 -1.000 -1.000 0.6386
4 1.000 -1.000 0.6386
5 -1.000 1.000 0.6386
6 1.000 1.000 0.6386
7 1.736 0.000 -0.9273
8 -1.736 0.000 -0.9273
9 0.000 1.736 -0.9273
10 0.000 -1.736 -0.9273
$R311A
X1 X2 X3
1 0.000000 0.000000 1.4142136
2 0.000000 0.000000 -1.4142136
3 -1.000000 -1.000000 0.7071068
4 1.000000 -1.000000 0.7071068
5 -1.000000 1.000000 0.7071068
6 1.000000 1.000000 0.7071068
7 1.414214 0.000000 -0.7071068
8 -1.414214 0.000000 -0.7071068
9 0.000000 1.414214 -0.7071068
10 0.000000 -1.414214 -0.7071068
11 0.000000 0.000000 0.0000000
$R311B
X1 X2 X3
1 0.0000 0.0000 2.44949
2 0.0000 0.0000 -2.44949
3 -0.7507 2.1063 1.00000
4 2.1063 0.7507 1.00000
5 0.7507 -2.1063 1.00000
6 -2.1063 -0.7507 1.00000
7 0.7507 2.1063 -1.00000
8 2.1063 -0.7507 -1.00000
9 -0.7507 -2.1063 -1.00000
10 -2.1063 0.7507 -1.00000
11 0.0000 0.0000 0.00000
$R416A
X1 X2 X3 X4
1 0.0000 0.0000 0.0000 1.7844
2 0.0000 0.0000 0.0000 -1.4945
3 -1.0000 -1.0000 -1.0000 0.6444
4 1.0000 -1.0000 -1.0000 0.6444
5 -1.0000 1.0000 -1.0000 0.6444
6 1.0000 1.0000 -1.0000 0.6444
7 -1.0000 -1.0000 1.0000 0.6444
8 1.0000 -1.0000 1.0000 0.6444
9 -1.0000 1.0000 1.0000 0.6444
10 1.0000 1.0000 1.0000 0.6444
11 1.6853 0.0000 0.0000 -0.9075
12 -1.6853 0.0000 0.0000 -0.9075
13 0.0000 1.6853 0.0000 -0.9075
14 0.0000 -1.6853 0.0000 -0.9075
15 0.0000 0.0000 1.6853 -0.9075
16 0.0000 0.0000 -1.6853 -0.9075
17 0.0000 0.0000 0.0000 0.0000
18 0.0000 0.0000 0.0000 0.0000
$R416B
X1 X2 X3 X4
1 0.0000 0.0000 0.0000 1.7317
2 0.0000 0.0000 0.0000 -0.2692
3 -1.0000 -1.0000 -1.0000 0.6045
4 1.0000 -1.0000 -1.0000 0.6045
5 -1.0000 1.0000 -1.0000 0.6045
6 1.0000 1.0000 -1.0000 0.6045
7 -1.0000 -1.0000 1.0000 0.6045
8 1.0000 -1.0000 1.0000 0.6045
9 -1.0000 1.0000 1.0000 0.6045
10 1.0000 1.0000 1.0000 0.6045
11 1.5177 0.0000 0.0000 -1.0498
12 -1.5177 0.0000 0.0000 -1.0498
13 0.0000 1.5177 0.0000 -1.0498
14 0.0000 -1.5177 0.0000 -1.0498
15 0.0000 0.0000 1.5177 -1.0498
16 0.0000 0.0000 -1.5177 -1.0498
17 0.0000 0.0000 0.0000 0.0000
18 0.0000 0.0000 0.0000 0.0000
$R416C
X1 X2 X3 X4
1 0.0000 0.0000 0.0000 1.7654
2 -1.0000 -1.0000 -1.0000 0.5675
3 1.0000 -1.0000 -1.0000 0.5675
4 -1.0000 1.0000 -1.0000 0.5675
5 1.0000 1.0000 -1.0000 0.5675
6 -1.0000 -1.0000 1.0000 0.5675
7 1.0000 -1.0000 1.0000 0.5675
8 -1.0000 1.0000 1.0000 0.5675
9 1.0000 1.0000 1.0000 0.5675
10 1.4697 0.0000 0.0000 -1.0509
11 -1.4697 0.0000 0.0000 -1.0509
12 0.0000 1.4697 0.0000 -1.0509
13 0.0000 -1.4697 0.0000 -1.0509
14 0.0000 0.0000 1.4697 -1.0509
15 0.0000 0.0000 -1.4697 -1.0509
16 0.0000 0.0000 0.0000 0.0000
17 0.0000 0.0000 0.0000 0.0000
18 0.0000 0.0000 0.0000 0.0000
$R628A
X1 X2 X3 X4 X5 X6
1 0 0 0 0 0 2.3094011
2 -1 -1 -1 -1 -1 0.5773503
3 1 1 -1 -1 -1 0.5773503
4 1 -1 1 -1 -1 0.5773503
5 -1 1 1 -1 -1 0.5773503
6 1 -1 -1 1 -1 0.5773503
7 -1 1 -1 1 -1 0.5773503
8 -1 -1 1 1 -1 0.5773503
9 1 1 1 1 -1 0.5773503
10 1 -1 -1 -1 1 0.5773503
11 -1 1 -1 -1 1 0.5773503
12 -1 -1 1 -1 1 0.5773503
13 1 1 1 -1 1 0.5773503
14 -1 -1 -1 1 1 0.5773503
15 1 1 -1 1 1 0.5773503
16 1 -1 1 1 1 0.5773503
17 -1 1 1 1 1 0.5773503
18 2 0 0 0 0 -1.1547005
19 -2 0 0 0 0 -1.1547005
20 0 2 0 0 0 -1.1547005
21 0 -2 0 0 0 -1.1547005
22 0 0 2 0 0 -1.1547005
23 0 0 -2 0 0 -1.1547005
24 0 0 0 2 0 -1.1547005
25 0 0 0 -2 0 -1.1547005
26 0 0 0 0 2 -1.1547005
27 0 0 0 0 -2 -1.1547005
28 0 0 0 0 0 0.0000000
29 0 0 0 0 0 0.0000000
$R628B
X1 X2 X3 X4 X5 X6
1 0.0000 0.0000 0.0000 0.0000 0.0000 2.3677
2 -1.0000 -1.0000 -1.0000 -1.0000 -1.0000 0.6096
3 1.0000 1.0000 -1.0000 -1.0000 -1.0000 0.6096
4 1.0000 -1.0000 1.0000 -1.0000 -1.0000 0.6096
5 -1.0000 1.0000 1.0000 -1.0000 -1.0000 0.6096
6 1.0000 -1.0000 -1.0000 1.0000 -1.0000 0.6096
7 -1.0000 1.0000 -1.0000 1.0000 -1.0000 0.6096
8 -1.0000 -1.0000 1.0000 1.0000 -1.0000 0.6096
9 1.0000 1.0000 1.0000 1.0000 -1.0000 0.6096
10 1.0000 -1.0000 -1.0000 -1.0000 1.0000 0.6096
11 -1.0000 1.0000 -1.0000 -1.0000 1.0000 0.6096
12 -1.0000 -1.0000 1.0000 -1.0000 1.0000 0.6096
13 1.0000 1.0000 1.0000 -1.0000 1.0000 0.6096
14 -1.0000 -1.0000 -1.0000 1.0000 1.0000 0.6096
15 1.0000 1.0000 -1.0000 1.0000 1.0000 0.6096
16 1.0000 -1.0000 1.0000 1.0000 1.0000 0.6096
17 -1.0000 1.0000 1.0000 1.0000 1.0000 0.6096
18 2.1749 0.0000 0.0000 0.0000 0.0000 -1.0310
19 -2.1749 0.0000 0.0000 0.0000 0.0000 -1.0310
20 0.0000 2.1749 0.0000 0.0000 0.0000 -1.0310
21 0.0000 -2.1749 0.0000 0.0000 0.0000 -1.0310
22 0.0000 0.0000 2.1749 0.0000 0.0000 -1.0310
23 0.0000 0.0000 -2.1749 0.0000 0.0000 -1.0310
24 0.0000 0.0000 0.0000 2.1749 0.0000 -1.0310
25 0.0000 0.0000 0.0000 -2.1749 0.0000 -1.0310
26 0.0000 0.0000 0.0000 0.0000 2.1749 -1.0310
27 0.0000 0.0000 0.0000 0.0000 -2.1749 -1.0310
28 0.0000 0.0000 0.0000 0.0000 0.0000 -1.8110
29 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
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