nolhDesign: Cioppa's Nearly Orthogonal Latin Hypercube Designs
In DiceDesign: Designs of Computer Experiments
Description
Usage
Arguments
Value
Author(s)
See Also
Examples
Description
This function generates a NOLH design of dimension 2 to 29 and normalizes it to the selected range. The design is extracted from Cioppa's NOLHdesigns list.
Usage
1
nolhDesign(dimension, range = c(0, 1))
Arguments
dimension
number of input variables
range
the scale (min and max) of the inputs. Range (0, 0) and (1, 1) are special cases and call integer ranges (-m, m) and (0, 2m). See the examples
Value
A list with components:
n
the number of lines/experiments
dimension
the number of columns/input variables
design
the design of experiments
Author(s)
T.M. Cioppa for the designs. P. Kiener for the R code.
See Also
Cioppa's list NOLHdesigns. Other NOLH and OLH designs: nolhdrDesign, olhDesign.
Examples
1
2
3
4
5
6
7
8
9
10
11
## Classical normalizations
nolhDesign(8, range = c(1, 1))
nolhDesign(8, range = c(0, 0))
nolhDesign(8, range = c(0, 1))
nolhDesign(8, range = c(-1, 1))
## Change the dimnames, adjust to range (-10, 10) and round to 2 digits
xDRDN(nolhDesign(8), letter = "T", dgts = 2, range = c(-10, 10))
## A list of designs
lapply(5:9, function(n) nolhDesign(n, range = c(-1, 1))$design)
Example output
$n
[1] 33
$dimension
[1] 8
$design
[,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8]
[1,] 16 -13 -2 -10 12 4 6 -1
[2,] 13 16 -12 -4 -1 -10 8 -6
[3,] 12 -2 13 -11 -15 3 7 -15
[4,] 2 12 16 -3 14 -11 10 -14
[5,] 14 -15 -1 -9 6 7 -3 2
[6,] 15 14 -6 -7 -2 -9 -11 12
[7,] 6 -1 15 -8 -16 5 -4 13
[8,] 1 6 14 -5 13 -8 -9 16
[9,] 5 -8 -9 1 7 -6 -16 -10
[10,] 8 5 -7 6 -9 1 -13 -4
[11,] 7 -9 8 15 -5 -14 -12 -11
[12,] 9 7 5 14 8 15 -1 -3
[13,] 3 -11 -10 2 3 -12 15 9
[14,] 11 3 -4 12 -11 2 14 7
[15,] 4 -10 11 13 -4 -16 5 8
[16,] 10 4 3 16 10 13 2 5
[17,] 0 0 0 0 0 0 0 0
[18,] -16 13 2 10 -12 -4 -6 1
[19,] -13 -16 12 4 1 10 -8 6
[20,] -12 2 -13 11 15 -3 -7 15
[21,] -2 -12 -16 3 -14 11 -10 14
[22,] -14 15 1 9 -6 -7 3 -2
[23,] -15 -14 6 7 2 9 11 -12
[24,] -6 1 -15 8 16 -5 4 -13
[25,] -1 -6 -14 5 -13 8 9 -16
[26,] -5 8 9 -1 -7 6 16 10
[27,] -8 -5 7 -6 9 -1 13 4
[28,] -7 9 -8 -15 5 14 12 11
[29,] -9 -7 -5 -14 -8 -15 1 3
[30,] -3 11 10 -2 -3 12 -15 -9
[31,] -11 -3 4 -12 11 -2 -14 -7
[32,] -4 10 -11 -13 4 16 -5 -8
[33,] -10 -4 -3 -16 -10 -13 -2 -5
$n
[1] 33
$dimension
[1] 8
$design
[,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8]
[1,] 32 3 14 6 28 20 22 15
[2,] 29 32 4 12 15 6 24 10
[3,] 28 14 29 5 1 19 23 1
[4,] 18 28 32 13 30 5 26 2
[5,] 30 1 15 7 22 23 13 18
[6,] 31 30 10 9 14 7 5 28
[7,] 22 15 31 8 0 21 12 29
[8,] 17 22 30 11 29 8 7 32
[9,] 21 8 7 17 23 10 0 6
[10,] 24 21 9 22 7 17 3 12
[11,] 23 7 24 31 11 2 4 5
[12,] 25 23 21 30 24 31 15 13
[13,] 19 5 6 18 19 4 31 25
[14,] 27 19 12 28 5 18 30 23
[15,] 20 6 27 29 12 0 21 24
[16,] 26 20 19 32 26 29 18 21
[17,] 16 16 16 16 16 16 16 16
[18,] 0 29 18 26 4 12 10 17
[19,] 3 0 28 20 17 26 8 22
[20,] 4 18 3 27 31 13 9 31
[21,] 14 4 0 19 2 27 6 30
[22,] 2 31 17 25 10 9 19 14
[23,] 1 2 22 23 18 25 27 4
[24,] 10 17 1 24 32 11 20 3
[25,] 15 10 2 21 3 24 25 0
[26,] 11 24 25 15 9 22 32 26
[27,] 8 11 23 10 25 15 29 20
[28,] 9 25 8 1 21 30 28 27
[29,] 7 9 11 2 8 1 17 19
[30,] 13 27 26 14 13 28 1 7
[31,] 5 13 20 4 27 14 2 9
[32,] 12 26 5 3 20 32 11 8
[33,] 6 12 13 0 6 3 14 11
$n
[1] 33
$dimension
[1] 8
$design
[,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8]
[1,] 1.00000 0.09375 0.43750 0.18750 0.87500 0.62500 0.68750 0.46875
[2,] 0.90625 1.00000 0.12500 0.37500 0.46875 0.18750 0.75000 0.31250
[3,] 0.87500 0.43750 0.90625 0.15625 0.03125 0.59375 0.71875 0.03125
[4,] 0.56250 0.87500 1.00000 0.40625 0.93750 0.15625 0.81250 0.06250
[5,] 0.93750 0.03125 0.46875 0.21875 0.68750 0.71875 0.40625 0.56250
[6,] 0.96875 0.93750 0.31250 0.28125 0.43750 0.21875 0.15625 0.87500
[7,] 0.68750 0.46875 0.96875 0.25000 0.00000 0.65625 0.37500 0.90625
[8,] 0.53125 0.68750 0.93750 0.34375 0.90625 0.25000 0.21875 1.00000
[9,] 0.65625 0.25000 0.21875 0.53125 0.71875 0.31250 0.00000 0.18750
[10,] 0.75000 0.65625 0.28125 0.68750 0.21875 0.53125 0.09375 0.37500
[11,] 0.71875 0.21875 0.75000 0.96875 0.34375 0.06250 0.12500 0.15625
[12,] 0.78125 0.71875 0.65625 0.93750 0.75000 0.96875 0.46875 0.40625
[13,] 0.59375 0.15625 0.18750 0.56250 0.59375 0.12500 0.96875 0.78125
[14,] 0.84375 0.59375 0.37500 0.87500 0.15625 0.56250 0.93750 0.71875
[15,] 0.62500 0.18750 0.84375 0.90625 0.37500 0.00000 0.65625 0.75000
[16,] 0.81250 0.62500 0.59375 1.00000 0.81250 0.90625 0.56250 0.65625
[17,] 0.50000 0.50000 0.50000 0.50000 0.50000 0.50000 0.50000 0.50000
[18,] 0.00000 0.90625 0.56250 0.81250 0.12500 0.37500 0.31250 0.53125
[19,] 0.09375 0.00000 0.87500 0.62500 0.53125 0.81250 0.25000 0.68750
[20,] 0.12500 0.56250 0.09375 0.84375 0.96875 0.40625 0.28125 0.96875
[21,] 0.43750 0.12500 0.00000 0.59375 0.06250 0.84375 0.18750 0.93750
[22,] 0.06250 0.96875 0.53125 0.78125 0.31250 0.28125 0.59375 0.43750
[23,] 0.03125 0.06250 0.68750 0.71875 0.56250 0.78125 0.84375 0.12500
[24,] 0.31250 0.53125 0.03125 0.75000 1.00000 0.34375 0.62500 0.09375
[25,] 0.46875 0.31250 0.06250 0.65625 0.09375 0.75000 0.78125 0.00000
[26,] 0.34375 0.75000 0.78125 0.46875 0.28125 0.68750 1.00000 0.81250
[27,] 0.25000 0.34375 0.71875 0.31250 0.78125 0.46875 0.90625 0.62500
[28,] 0.28125 0.78125 0.25000 0.03125 0.65625 0.93750 0.87500 0.84375
[29,] 0.21875 0.28125 0.34375 0.06250 0.25000 0.03125 0.53125 0.59375
[30,] 0.40625 0.84375 0.81250 0.43750 0.40625 0.87500 0.03125 0.21875
[31,] 0.15625 0.40625 0.62500 0.12500 0.84375 0.43750 0.06250 0.28125
[32,] 0.37500 0.81250 0.15625 0.09375 0.62500 1.00000 0.34375 0.25000
[33,] 0.18750 0.37500 0.40625 0.00000 0.18750 0.09375 0.43750 0.34375
$n
[1] 33
$dimension
[1] 8
$design
[,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8]
[1,] 1.0000 -0.8125 -0.1250 -0.6250 0.7500 0.2500 0.3750 -0.0625
[2,] 0.8125 1.0000 -0.7500 -0.2500 -0.0625 -0.6250 0.5000 -0.3750
[3,] 0.7500 -0.1250 0.8125 -0.6875 -0.9375 0.1875 0.4375 -0.9375
[4,] 0.1250 0.7500 1.0000 -0.1875 0.8750 -0.6875 0.6250 -0.8750
[5,] 0.8750 -0.9375 -0.0625 -0.5625 0.3750 0.4375 -0.1875 0.1250
[6,] 0.9375 0.8750 -0.3750 -0.4375 -0.1250 -0.5625 -0.6875 0.7500
[7,] 0.3750 -0.0625 0.9375 -0.5000 -1.0000 0.3125 -0.2500 0.8125
[8,] 0.0625 0.3750 0.8750 -0.3125 0.8125 -0.5000 -0.5625 1.0000
[9,] 0.3125 -0.5000 -0.5625 0.0625 0.4375 -0.3750 -1.0000 -0.6250
[10,] 0.5000 0.3125 -0.4375 0.3750 -0.5625 0.0625 -0.8125 -0.2500
[11,] 0.4375 -0.5625 0.5000 0.9375 -0.3125 -0.8750 -0.7500 -0.6875
[12,] 0.5625 0.4375 0.3125 0.8750 0.5000 0.9375 -0.0625 -0.1875
[13,] 0.1875 -0.6875 -0.6250 0.1250 0.1875 -0.7500 0.9375 0.5625
[14,] 0.6875 0.1875 -0.2500 0.7500 -0.6875 0.1250 0.8750 0.4375
[15,] 0.2500 -0.6250 0.6875 0.8125 -0.2500 -1.0000 0.3125 0.5000
[16,] 0.6250 0.2500 0.1875 1.0000 0.6250 0.8125 0.1250 0.3125
[17,] 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
[18,] -1.0000 0.8125 0.1250 0.6250 -0.7500 -0.2500 -0.3750 0.0625
[19,] -0.8125 -1.0000 0.7500 0.2500 0.0625 0.6250 -0.5000 0.3750
[20,] -0.7500 0.1250 -0.8125 0.6875 0.9375 -0.1875 -0.4375 0.9375
[21,] -0.1250 -0.7500 -1.0000 0.1875 -0.8750 0.6875 -0.6250 0.8750
[22,] -0.8750 0.9375 0.0625 0.5625 -0.3750 -0.4375 0.1875 -0.1250
[23,] -0.9375 -0.8750 0.3750 0.4375 0.1250 0.5625 0.6875 -0.7500
[24,] -0.3750 0.0625 -0.9375 0.5000 1.0000 -0.3125 0.2500 -0.8125
[25,] -0.0625 -0.3750 -0.8750 0.3125 -0.8125 0.5000 0.5625 -1.0000
[26,] -0.3125 0.5000 0.5625 -0.0625 -0.4375 0.3750 1.0000 0.6250
[27,] -0.5000 -0.3125 0.4375 -0.3750 0.5625 -0.0625 0.8125 0.2500
[28,] -0.4375 0.5625 -0.5000 -0.9375 0.3125 0.8750 0.7500 0.6875
[29,] -0.5625 -0.4375 -0.3125 -0.8750 -0.5000 -0.9375 0.0625 0.1875
[30,] -0.1875 0.6875 0.6250 -0.1250 -0.1875 0.7500 -0.9375 -0.5625
[31,] -0.6875 -0.1875 0.2500 -0.7500 0.6875 -0.1250 -0.8750 -0.4375
[32,] -0.2500 0.6250 -0.6875 -0.8125 0.2500 1.0000 -0.3125 -0.5000
[33,] -0.6250 -0.2500 -0.1875 -1.0000 -0.6250 -0.8125 -0.1250 -0.3125
T1 T2 T3 T4 T5 T6 T7 T8
1 10.00 -8.12 -1.25 -6.25 7.50 2.50 3.75 -0.62
2 8.12 10.00 -7.50 -2.50 -0.62 -6.25 5.00 -3.75
3 7.50 -1.25 8.12 -6.88 -9.38 1.88 4.38 -9.38
4 1.25 7.50 10.00 -1.88 8.75 -6.88 6.25 -8.75
5 8.75 -9.38 -0.62 -5.62 3.75 4.38 -1.88 1.25
6 9.38 8.75 -3.75 -4.38 -1.25 -5.62 -6.88 7.50
7 3.75 -0.62 9.38 -5.00 -10.00 3.12 -2.50 8.12
8 0.62 3.75 8.75 -3.12 8.12 -5.00 -5.62 10.00
9 3.12 -5.00 -5.62 0.62 4.38 -3.75 -10.00 -6.25
10 5.00 3.12 -4.38 3.75 -5.62 0.62 -8.12 -2.50
11 4.38 -5.62 5.00 9.38 -3.12 -8.75 -7.50 -6.88
12 5.62 4.38 3.12 8.75 5.00 9.38 -0.62 -1.88
13 1.88 -6.88 -6.25 1.25 1.88 -7.50 9.38 5.62
14 6.88 1.88 -2.50 7.50 -6.88 1.25 8.75 4.38
15 2.50 -6.25 6.88 8.12 -2.50 -10.00 3.12 5.00
16 6.25 2.50 1.88 10.00 6.25 8.12 1.25 3.12
17 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
18 -10.00 8.12 1.25 6.25 -7.50 -2.50 -3.75 0.62
19 -8.12 -10.00 7.50 2.50 0.62 6.25 -5.00 3.75
20 -7.50 1.25 -8.12 6.88 9.38 -1.88 -4.38 9.38
21 -1.25 -7.50 -10.00 1.88 -8.75 6.88 -6.25 8.75
22 -8.75 9.38 0.62 5.62 -3.75 -4.38 1.88 -1.25
23 -9.38 -8.75 3.75 4.38 1.25 5.62 6.88 -7.50
24 -3.75 0.62 -9.38 5.00 10.00 -3.12 2.50 -8.12
25 -0.62 -3.75 -8.75 3.12 -8.12 5.00 5.62 -10.00
26 -3.12 5.00 5.62 -0.62 -4.38 3.75 10.00 6.25
27 -5.00 -3.12 4.38 -3.75 5.62 -0.62 8.12 2.50
28 -4.38 5.62 -5.00 -9.38 3.12 8.75 7.50 6.88
29 -5.62 -4.38 -3.12 -8.75 -5.00 -9.38 0.62 1.88
30 -1.88 6.88 6.25 -1.25 -1.88 7.50 -9.38 -5.62
31 -6.88 -1.88 2.50 -7.50 6.88 -1.25 -8.75 -4.38
32 -2.50 6.25 -6.88 -8.12 2.50 10.00 -3.12 -5.00
33 -6.25 -2.50 -1.88 -10.00 -6.25 -8.12 -1.25 -3.12
[[1]]
[,1] [,2] [,3] [,4] [,5]
[1,] -0.375 1.000 0.625 -0.250 -0.500
[2,] -0.875 -0.500 0.750 0.125 -1.000
[3,] -0.750 -0.125 -0.875 -0.500 0.250
[4,] -0.625 0.250 -0.375 1.000 0.125
[5,] 0.500 0.875 -0.125 -0.750 -0.375
[6,] 1.000 -0.375 -0.250 0.625 -0.875
[7,] 0.250 -0.625 1.000 -0.375 0.750
[8,] 0.125 0.750 0.500 0.875 0.625
[9,] 0.000 0.000 0.000 0.000 0.000
[10,] 0.375 -1.000 -0.625 0.250 0.500
[11,] 0.875 0.500 -0.750 -0.125 1.000
[12,] 0.750 0.125 0.875 0.500 -0.250
[13,] 0.625 -0.250 0.375 -1.000 -0.125
[14,] -0.500 -0.875 0.125 0.750 0.375
[15,] -1.000 0.375 0.250 -0.625 0.875
[16,] -0.250 0.625 -1.000 0.375 -0.750
[17,] -0.125 -0.750 -0.500 -0.875 -0.625
[[2]]
[,1] [,2] [,3] [,4] [,5] [,6]
[1,] -0.375 1.000 0.625 -0.250 -0.500 0.875
[2,] -0.875 -0.500 0.750 0.125 -1.000 -0.375
[3,] -0.750 -0.125 -0.875 -0.500 0.250 0.625
[4,] -0.625 0.250 -0.375 1.000 0.125 -0.750
[5,] 0.500 0.875 -0.125 -0.750 -0.375 -1.000
[6,] 1.000 -0.375 -0.250 0.625 -0.875 0.500
[7,] 0.250 -0.625 1.000 -0.375 0.750 -0.125
[8,] 0.125 0.750 0.500 0.875 0.625 0.250
[9,] 0.000 0.000 0.000 0.000 0.000 0.000
[10,] 0.375 -1.000 -0.625 0.250 0.500 -0.875
[11,] 0.875 0.500 -0.750 -0.125 1.000 0.375
[12,] 0.750 0.125 0.875 0.500 -0.250 -0.625
[13,] 0.625 -0.250 0.375 -1.000 -0.125 0.750
[14,] -0.500 -0.875 0.125 0.750 0.375 1.000
[15,] -1.000 0.375 0.250 -0.625 0.875 -0.500
[16,] -0.250 0.625 -1.000 0.375 -0.750 0.125
[17,] -0.125 -0.750 -0.500 -0.875 -0.625 -0.250
[[3]]
[,1] [,2] [,3] [,4] [,5] [,6] [,7]
[1,] -0.375 1.000 0.625 -0.250 -0.500 0.875 0.125
[2,] -0.875 -0.500 0.750 0.125 -1.000 -0.375 0.250
[3,] -0.750 -0.125 -0.875 -0.500 0.250 0.625 1.000
[4,] -0.625 0.250 -0.375 1.000 0.125 -0.750 0.500
[5,] 0.500 0.875 -0.125 -0.750 -0.375 -1.000 0.625
[6,] 1.000 -0.375 -0.250 0.625 -0.875 0.500 0.750
[7,] 0.250 -0.625 1.000 -0.375 0.750 -0.125 0.875
[8,] 0.125 0.750 0.500 0.875 0.625 0.250 0.375
[9,] 0.000 0.000 0.000 0.000 0.000 0.000 0.000
[10,] 0.375 -1.000 -0.625 0.250 0.500 -0.875 -0.125
[11,] 0.875 0.500 -0.750 -0.125 1.000 0.375 -0.250
[12,] 0.750 0.125 0.875 0.500 -0.250 -0.625 -1.000
[13,] 0.625 -0.250 0.375 -1.000 -0.125 0.750 -0.500
[14,] -0.500 -0.875 0.125 0.750 0.375 1.000 -0.625
[15,] -1.000 0.375 0.250 -0.625 0.875 -0.500 -0.750
[16,] -0.250 0.625 -1.000 0.375 -0.750 0.125 -0.875
[17,] -0.125 -0.750 -0.500 -0.875 -0.625 -0.250 -0.375
[[4]]
[,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8]
[1,] 1.0000 -0.8125 -0.1250 -0.6250 0.7500 0.2500 0.3750 -0.0625
[2,] 0.8125 1.0000 -0.7500 -0.2500 -0.0625 -0.6250 0.5000 -0.3750
[3,] 0.7500 -0.1250 0.8125 -0.6875 -0.9375 0.1875 0.4375 -0.9375
[4,] 0.1250 0.7500 1.0000 -0.1875 0.8750 -0.6875 0.6250 -0.8750
[5,] 0.8750 -0.9375 -0.0625 -0.5625 0.3750 0.4375 -0.1875 0.1250
[6,] 0.9375 0.8750 -0.3750 -0.4375 -0.1250 -0.5625 -0.6875 0.7500
[7,] 0.3750 -0.0625 0.9375 -0.5000 -1.0000 0.3125 -0.2500 0.8125
[8,] 0.0625 0.3750 0.8750 -0.3125 0.8125 -0.5000 -0.5625 1.0000
[9,] 0.3125 -0.5000 -0.5625 0.0625 0.4375 -0.3750 -1.0000 -0.6250
[10,] 0.5000 0.3125 -0.4375 0.3750 -0.5625 0.0625 -0.8125 -0.2500
[11,] 0.4375 -0.5625 0.5000 0.9375 -0.3125 -0.8750 -0.7500 -0.6875
[12,] 0.5625 0.4375 0.3125 0.8750 0.5000 0.9375 -0.0625 -0.1875
[13,] 0.1875 -0.6875 -0.6250 0.1250 0.1875 -0.7500 0.9375 0.5625
[14,] 0.6875 0.1875 -0.2500 0.7500 -0.6875 0.1250 0.8750 0.4375
[15,] 0.2500 -0.6250 0.6875 0.8125 -0.2500 -1.0000 0.3125 0.5000
[16,] 0.6250 0.2500 0.1875 1.0000 0.6250 0.8125 0.1250 0.3125
[17,] 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
[18,] -1.0000 0.8125 0.1250 0.6250 -0.7500 -0.2500 -0.3750 0.0625
[19,] -0.8125 -1.0000 0.7500 0.2500 0.0625 0.6250 -0.5000 0.3750
[20,] -0.7500 0.1250 -0.8125 0.6875 0.9375 -0.1875 -0.4375 0.9375
[21,] -0.1250 -0.7500 -1.0000 0.1875 -0.8750 0.6875 -0.6250 0.8750
[22,] -0.8750 0.9375 0.0625 0.5625 -0.3750 -0.4375 0.1875 -0.1250
[23,] -0.9375 -0.8750 0.3750 0.4375 0.1250 0.5625 0.6875 -0.7500
[24,] -0.3750 0.0625 -0.9375 0.5000 1.0000 -0.3125 0.2500 -0.8125
[25,] -0.0625 -0.3750 -0.8750 0.3125 -0.8125 0.5000 0.5625 -1.0000
[26,] -0.3125 0.5000 0.5625 -0.0625 -0.4375 0.3750 1.0000 0.6250
[27,] -0.5000 -0.3125 0.4375 -0.3750 0.5625 -0.0625 0.8125 0.2500
[28,] -0.4375 0.5625 -0.5000 -0.9375 0.3125 0.8750 0.7500 0.6875
[29,] -0.5625 -0.4375 -0.3125 -0.8750 -0.5000 -0.9375 0.0625 0.1875
[30,] -0.1875 0.6875 0.6250 -0.1250 -0.1875 0.7500 -0.9375 -0.5625
[31,] -0.6875 -0.1875 0.2500 -0.7500 0.6875 -0.1250 -0.8750 -0.4375
[32,] -0.2500 0.6250 -0.6875 -0.8125 0.2500 1.0000 -0.3125 -0.5000
[33,] -0.6250 -0.2500 -0.1875 -1.0000 -0.6250 -0.8125 -0.1250 -0.3125
[[5]]
[,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9]
[1,] 1.0000 -0.8125 -0.1250 -0.6250 0.7500 0.2500 0.3750 -0.0625 1.0000
[2,] 0.8125 1.0000 -0.7500 -0.2500 -0.0625 -0.6250 0.5000 -0.3750 0.8125
[3,] 0.7500 -0.1250 0.8125 -0.6875 -0.9375 0.1875 0.4375 -0.9375 -0.3750
[4,] 0.1250 0.7500 1.0000 -0.1875 0.8750 -0.6875 0.6250 -0.8750 -0.1250
[5,] 0.8750 -0.9375 -0.0625 -0.5625 0.3750 0.4375 -0.1875 0.1250 -0.8750
[6,] 0.9375 0.8750 -0.3750 -0.4375 -0.1250 -0.5625 -0.6875 0.7500 -0.9375
[7,] 0.3750 -0.0625 0.9375 -0.5000 -1.0000 0.3125 -0.2500 0.8125 0.7500
[8,] 0.0625 0.3750 0.8750 -0.3125 0.8125 -0.5000 -0.5625 1.0000 0.0625
[9,] 0.3125 -0.5000 -0.5625 0.0625 0.4375 -0.3750 -1.0000 -0.6250 0.1875
[10,] 0.5000 0.3125 -0.4375 0.3750 -0.5625 0.0625 -0.8125 -0.2500 0.6875
[11,] 0.4375 -0.5625 0.5000 0.9375 -0.3125 -0.8750 -0.7500 -0.6875 -0.2500
[12,] 0.5625 0.4375 0.3125 0.8750 0.5000 0.9375 -0.0625 -0.1875 -0.5625
[13,] 0.1875 -0.6875 -0.6250 0.1250 0.1875 -0.7500 0.9375 0.5625 -0.3125
[14,] 0.6875 0.1875 -0.2500 0.7500 -0.6875 0.1250 0.8750 0.4375 -0.5000
[15,] 0.2500 -0.6250 0.6875 0.8125 -0.2500 -1.0000 0.3125 0.5000 0.4375
[16,] 0.6250 0.2500 0.1875 1.0000 0.6250 0.8125 0.1250 0.3125 0.6250
[17,] 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
[18,] -1.0000 0.8125 0.1250 0.6250 -0.7500 -0.2500 -0.3750 0.0625 -1.0000
[19,] -0.8125 -1.0000 0.7500 0.2500 0.0625 0.6250 -0.5000 0.3750 -0.8125
[20,] -0.7500 0.1250 -0.8125 0.6875 0.9375 -0.1875 -0.4375 0.9375 0.3750
[21,] -0.1250 -0.7500 -1.0000 0.1875 -0.8750 0.6875 -0.6250 0.8750 0.1250
[22,] -0.8750 0.9375 0.0625 0.5625 -0.3750 -0.4375 0.1875 -0.1250 0.8750
[23,] -0.9375 -0.8750 0.3750 0.4375 0.1250 0.5625 0.6875 -0.7500 0.9375
[24,] -0.3750 0.0625 -0.9375 0.5000 1.0000 -0.3125 0.2500 -0.8125 -0.7500
[25,] -0.0625 -0.3750 -0.8750 0.3125 -0.8125 0.5000 0.5625 -1.0000 -0.0625
[26,] -0.3125 0.5000 0.5625 -0.0625 -0.4375 0.3750 1.0000 0.6250 -0.1875
[27,] -0.5000 -0.3125 0.4375 -0.3750 0.5625 -0.0625 0.8125 0.2500 -0.6875
[28,] -0.4375 0.5625 -0.5000 -0.9375 0.3125 0.8750 0.7500 0.6875 0.2500
[29,] -0.5625 -0.4375 -0.3125 -0.8750 -0.5000 -0.9375 0.0625 0.1875 0.5625
[30,] -0.1875 0.6875 0.6250 -0.1250 -0.1875 0.7500 -0.9375 -0.5625 0.3125
[31,] -0.6875 -0.1875 0.2500 -0.7500 0.6875 -0.1250 -0.8750 -0.4375 0.5000
[32,] -0.2500 0.6250 -0.6875 -0.8125 0.2500 1.0000 -0.3125 -0.5000 -0.4375
[33,] -0.6250 -0.2500 -0.1875 -1.0000 -0.6250 -0.8125 -0.1250 -0.3125 -0.6250
DiceDesign documentation built on Feb. 13, 2021, 1:06 a.m.
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Description Usage Arguments Value Author(s) See Also Examples
Description
This function generates a NOLH design of dimension 2 to 29 and normalizes it to the selected range. The design is extracted from Cioppa's NOLHdesigns list.
Usage
1 | nolhDesign(dimension, range = c(0, 1))
|
Arguments
dimension |
number of input variables |
range |
the scale (min and max) of the inputs. Range (0, 0) and (1, 1) are special cases and call integer ranges (-m, m) and (0, 2m). See the examples |
Value
A list with components:
n |
the number of lines/experiments |
dimension |
the number of columns/input variables |
design |
the design of experiments |
Author(s)
T.M. Cioppa for the designs. P. Kiener for the R code.
See Also
Cioppa's list NOLHdesigns. Other NOLH and OLH designs: nolhdrDesign, olhDesign.
Examples
1 2 3 4 5 6 7 8 9 10 11 | ## Classical normalizations
nolhDesign(8, range = c(1, 1))
nolhDesign(8, range = c(0, 0))
nolhDesign(8, range = c(0, 1))
nolhDesign(8, range = c(-1, 1))
## Change the dimnames, adjust to range (-10, 10) and round to 2 digits
xDRDN(nolhDesign(8), letter = "T", dgts = 2, range = c(-10, 10))
## A list of designs
lapply(5:9, function(n) nolhDesign(n, range = c(-1, 1))$design)
|
Example output
$n
[1] 33
$dimension
[1] 8
$design
[,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8]
[1,] 16 -13 -2 -10 12 4 6 -1
[2,] 13 16 -12 -4 -1 -10 8 -6
[3,] 12 -2 13 -11 -15 3 7 -15
[4,] 2 12 16 -3 14 -11 10 -14
[5,] 14 -15 -1 -9 6 7 -3 2
[6,] 15 14 -6 -7 -2 -9 -11 12
[7,] 6 -1 15 -8 -16 5 -4 13
[8,] 1 6 14 -5 13 -8 -9 16
[9,] 5 -8 -9 1 7 -6 -16 -10
[10,] 8 5 -7 6 -9 1 -13 -4
[11,] 7 -9 8 15 -5 -14 -12 -11
[12,] 9 7 5 14 8 15 -1 -3
[13,] 3 -11 -10 2 3 -12 15 9
[14,] 11 3 -4 12 -11 2 14 7
[15,] 4 -10 11 13 -4 -16 5 8
[16,] 10 4 3 16 10 13 2 5
[17,] 0 0 0 0 0 0 0 0
[18,] -16 13 2 10 -12 -4 -6 1
[19,] -13 -16 12 4 1 10 -8 6
[20,] -12 2 -13 11 15 -3 -7 15
[21,] -2 -12 -16 3 -14 11 -10 14
[22,] -14 15 1 9 -6 -7 3 -2
[23,] -15 -14 6 7 2 9 11 -12
[24,] -6 1 -15 8 16 -5 4 -13
[25,] -1 -6 -14 5 -13 8 9 -16
[26,] -5 8 9 -1 -7 6 16 10
[27,] -8 -5 7 -6 9 -1 13 4
[28,] -7 9 -8 -15 5 14 12 11
[29,] -9 -7 -5 -14 -8 -15 1 3
[30,] -3 11 10 -2 -3 12 -15 -9
[31,] -11 -3 4 -12 11 -2 -14 -7
[32,] -4 10 -11 -13 4 16 -5 -8
[33,] -10 -4 -3 -16 -10 -13 -2 -5
$n
[1] 33
$dimension
[1] 8
$design
[,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8]
[1,] 32 3 14 6 28 20 22 15
[2,] 29 32 4 12 15 6 24 10
[3,] 28 14 29 5 1 19 23 1
[4,] 18 28 32 13 30 5 26 2
[5,] 30 1 15 7 22 23 13 18
[6,] 31 30 10 9 14 7 5 28
[7,] 22 15 31 8 0 21 12 29
[8,] 17 22 30 11 29 8 7 32
[9,] 21 8 7 17 23 10 0 6
[10,] 24 21 9 22 7 17 3 12
[11,] 23 7 24 31 11 2 4 5
[12,] 25 23 21 30 24 31 15 13
[13,] 19 5 6 18 19 4 31 25
[14,] 27 19 12 28 5 18 30 23
[15,] 20 6 27 29 12 0 21 24
[16,] 26 20 19 32 26 29 18 21
[17,] 16 16 16 16 16 16 16 16
[18,] 0 29 18 26 4 12 10 17
[19,] 3 0 28 20 17 26 8 22
[20,] 4 18 3 27 31 13 9 31
[21,] 14 4 0 19 2 27 6 30
[22,] 2 31 17 25 10 9 19 14
[23,] 1 2 22 23 18 25 27 4
[24,] 10 17 1 24 32 11 20 3
[25,] 15 10 2 21 3 24 25 0
[26,] 11 24 25 15 9 22 32 26
[27,] 8 11 23 10 25 15 29 20
[28,] 9 25 8 1 21 30 28 27
[29,] 7 9 11 2 8 1 17 19
[30,] 13 27 26 14 13 28 1 7
[31,] 5 13 20 4 27 14 2 9
[32,] 12 26 5 3 20 32 11 8
[33,] 6 12 13 0 6 3 14 11
$n
[1] 33
$dimension
[1] 8
$design
[,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8]
[1,] 1.00000 0.09375 0.43750 0.18750 0.87500 0.62500 0.68750 0.46875
[2,] 0.90625 1.00000 0.12500 0.37500 0.46875 0.18750 0.75000 0.31250
[3,] 0.87500 0.43750 0.90625 0.15625 0.03125 0.59375 0.71875 0.03125
[4,] 0.56250 0.87500 1.00000 0.40625 0.93750 0.15625 0.81250 0.06250
[5,] 0.93750 0.03125 0.46875 0.21875 0.68750 0.71875 0.40625 0.56250
[6,] 0.96875 0.93750 0.31250 0.28125 0.43750 0.21875 0.15625 0.87500
[7,] 0.68750 0.46875 0.96875 0.25000 0.00000 0.65625 0.37500 0.90625
[8,] 0.53125 0.68750 0.93750 0.34375 0.90625 0.25000 0.21875 1.00000
[9,] 0.65625 0.25000 0.21875 0.53125 0.71875 0.31250 0.00000 0.18750
[10,] 0.75000 0.65625 0.28125 0.68750 0.21875 0.53125 0.09375 0.37500
[11,] 0.71875 0.21875 0.75000 0.96875 0.34375 0.06250 0.12500 0.15625
[12,] 0.78125 0.71875 0.65625 0.93750 0.75000 0.96875 0.46875 0.40625
[13,] 0.59375 0.15625 0.18750 0.56250 0.59375 0.12500 0.96875 0.78125
[14,] 0.84375 0.59375 0.37500 0.87500 0.15625 0.56250 0.93750 0.71875
[15,] 0.62500 0.18750 0.84375 0.90625 0.37500 0.00000 0.65625 0.75000
[16,] 0.81250 0.62500 0.59375 1.00000 0.81250 0.90625 0.56250 0.65625
[17,] 0.50000 0.50000 0.50000 0.50000 0.50000 0.50000 0.50000 0.50000
[18,] 0.00000 0.90625 0.56250 0.81250 0.12500 0.37500 0.31250 0.53125
[19,] 0.09375 0.00000 0.87500 0.62500 0.53125 0.81250 0.25000 0.68750
[20,] 0.12500 0.56250 0.09375 0.84375 0.96875 0.40625 0.28125 0.96875
[21,] 0.43750 0.12500 0.00000 0.59375 0.06250 0.84375 0.18750 0.93750
[22,] 0.06250 0.96875 0.53125 0.78125 0.31250 0.28125 0.59375 0.43750
[23,] 0.03125 0.06250 0.68750 0.71875 0.56250 0.78125 0.84375 0.12500
[24,] 0.31250 0.53125 0.03125 0.75000 1.00000 0.34375 0.62500 0.09375
[25,] 0.46875 0.31250 0.06250 0.65625 0.09375 0.75000 0.78125 0.00000
[26,] 0.34375 0.75000 0.78125 0.46875 0.28125 0.68750 1.00000 0.81250
[27,] 0.25000 0.34375 0.71875 0.31250 0.78125 0.46875 0.90625 0.62500
[28,] 0.28125 0.78125 0.25000 0.03125 0.65625 0.93750 0.87500 0.84375
[29,] 0.21875 0.28125 0.34375 0.06250 0.25000 0.03125 0.53125 0.59375
[30,] 0.40625 0.84375 0.81250 0.43750 0.40625 0.87500 0.03125 0.21875
[31,] 0.15625 0.40625 0.62500 0.12500 0.84375 0.43750 0.06250 0.28125
[32,] 0.37500 0.81250 0.15625 0.09375 0.62500 1.00000 0.34375 0.25000
[33,] 0.18750 0.37500 0.40625 0.00000 0.18750 0.09375 0.43750 0.34375
$n
[1] 33
$dimension
[1] 8
$design
[,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8]
[1,] 1.0000 -0.8125 -0.1250 -0.6250 0.7500 0.2500 0.3750 -0.0625
[2,] 0.8125 1.0000 -0.7500 -0.2500 -0.0625 -0.6250 0.5000 -0.3750
[3,] 0.7500 -0.1250 0.8125 -0.6875 -0.9375 0.1875 0.4375 -0.9375
[4,] 0.1250 0.7500 1.0000 -0.1875 0.8750 -0.6875 0.6250 -0.8750
[5,] 0.8750 -0.9375 -0.0625 -0.5625 0.3750 0.4375 -0.1875 0.1250
[6,] 0.9375 0.8750 -0.3750 -0.4375 -0.1250 -0.5625 -0.6875 0.7500
[7,] 0.3750 -0.0625 0.9375 -0.5000 -1.0000 0.3125 -0.2500 0.8125
[8,] 0.0625 0.3750 0.8750 -0.3125 0.8125 -0.5000 -0.5625 1.0000
[9,] 0.3125 -0.5000 -0.5625 0.0625 0.4375 -0.3750 -1.0000 -0.6250
[10,] 0.5000 0.3125 -0.4375 0.3750 -0.5625 0.0625 -0.8125 -0.2500
[11,] 0.4375 -0.5625 0.5000 0.9375 -0.3125 -0.8750 -0.7500 -0.6875
[12,] 0.5625 0.4375 0.3125 0.8750 0.5000 0.9375 -0.0625 -0.1875
[13,] 0.1875 -0.6875 -0.6250 0.1250 0.1875 -0.7500 0.9375 0.5625
[14,] 0.6875 0.1875 -0.2500 0.7500 -0.6875 0.1250 0.8750 0.4375
[15,] 0.2500 -0.6250 0.6875 0.8125 -0.2500 -1.0000 0.3125 0.5000
[16,] 0.6250 0.2500 0.1875 1.0000 0.6250 0.8125 0.1250 0.3125
[17,] 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000
[18,] -1.0000 0.8125 0.1250 0.6250 -0.7500 -0.2500 -0.3750 0.0625
[19,] -0.8125 -1.0000 0.7500 0.2500 0.0625 0.6250 -0.5000 0.3750
[20,] -0.7500 0.1250 -0.8125 0.6875 0.9375 -0.1875 -0.4375 0.9375
[21,] -0.1250 -0.7500 -1.0000 0.1875 -0.8750 0.6875 -0.6250 0.8750
[22,] -0.8750 0.9375 0.0625 0.5625 -0.3750 -0.4375 0.1875 -0.1250
[23,] -0.9375 -0.8750 0.3750 0.4375 0.1250 0.5625 0.6875 -0.7500
[24,] -0.3750 0.0625 -0.9375 0.5000 1.0000 -0.3125 0.2500 -0.8125
[25,] -0.0625 -0.3750 -0.8750 0.3125 -0.8125 0.5000 0.5625 -1.0000
[26,] -0.3125 0.5000 0.5625 -0.0625 -0.4375 0.3750 1.0000 0.6250
[27,] -0.5000 -0.3125 0.4375 -0.3750 0.5625 -0.0625 0.8125 0.2500
[28,] -0.4375 0.5625 -0.5000 -0.9375 0.3125 0.8750 0.7500 0.6875
[29,] -0.5625 -0.4375 -0.3125 -0.8750 -0.5000 -0.9375 0.0625 0.1875
[30,] -0.1875 0.6875 0.6250 -0.1250 -0.1875 0.7500 -0.9375 -0.5625
[31,] -0.6875 -0.1875 0.2500 -0.7500 0.6875 -0.1250 -0.8750 -0.4375
[32,] -0.2500 0.6250 -0.6875 -0.8125 0.2500 1.0000 -0.3125 -0.5000
[33,] -0.6250 -0.2500 -0.1875 -1.0000 -0.6250 -0.8125 -0.1250 -0.3125
T1 T2 T3 T4 T5 T6 T7 T8
1 10.00 -8.12 -1.25 -6.25 7.50 2.50 3.75 -0.62
2 8.12 10.00 -7.50 -2.50 -0.62 -6.25 5.00 -3.75
3 7.50 -1.25 8.12 -6.88 -9.38 1.88 4.38 -9.38
4 1.25 7.50 10.00 -1.88 8.75 -6.88 6.25 -8.75
5 8.75 -9.38 -0.62 -5.62 3.75 4.38 -1.88 1.25
6 9.38 8.75 -3.75 -4.38 -1.25 -5.62 -6.88 7.50
7 3.75 -0.62 9.38 -5.00 -10.00 3.12 -2.50 8.12
8 0.62 3.75 8.75 -3.12 8.12 -5.00 -5.62 10.00
9 3.12 -5.00 -5.62 0.62 4.38 -3.75 -10.00 -6.25
10 5.00 3.12 -4.38 3.75 -5.62 0.62 -8.12 -2.50
11 4.38 -5.62 5.00 9.38 -3.12 -8.75 -7.50 -6.88
12 5.62 4.38 3.12 8.75 5.00 9.38 -0.62 -1.88
13 1.88 -6.88 -6.25 1.25 1.88 -7.50 9.38 5.62
14 6.88 1.88 -2.50 7.50 -6.88 1.25 8.75 4.38
15 2.50 -6.25 6.88 8.12 -2.50 -10.00 3.12 5.00
16 6.25 2.50 1.88 10.00 6.25 8.12 1.25 3.12
17 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00
18 -10.00 8.12 1.25 6.25 -7.50 -2.50 -3.75 0.62
19 -8.12 -10.00 7.50 2.50 0.62 6.25 -5.00 3.75
20 -7.50 1.25 -8.12 6.88 9.38 -1.88 -4.38 9.38
21 -1.25 -7.50 -10.00 1.88 -8.75 6.88 -6.25 8.75
22 -8.75 9.38 0.62 5.62 -3.75 -4.38 1.88 -1.25
23 -9.38 -8.75 3.75 4.38 1.25 5.62 6.88 -7.50
24 -3.75 0.62 -9.38 5.00 10.00 -3.12 2.50 -8.12
25 -0.62 -3.75 -8.75 3.12 -8.12 5.00 5.62 -10.00
26 -3.12 5.00 5.62 -0.62 -4.38 3.75 10.00 6.25
27 -5.00 -3.12 4.38 -3.75 5.62 -0.62 8.12 2.50
28 -4.38 5.62 -5.00 -9.38 3.12 8.75 7.50 6.88
29 -5.62 -4.38 -3.12 -8.75 -5.00 -9.38 0.62 1.88
30 -1.88 6.88 6.25 -1.25 -1.88 7.50 -9.38 -5.62
31 -6.88 -1.88 2.50 -7.50 6.88 -1.25 -8.75 -4.38
32 -2.50 6.25 -6.88 -8.12 2.50 10.00 -3.12 -5.00
33 -6.25 -2.50 -1.88 -10.00 -6.25 -8.12 -1.25 -3.12
[[1]]
[,1] [,2] [,3] [,4] [,5]
[1,] -0.375 1.000 0.625 -0.250 -0.500
[2,] -0.875 -0.500 0.750 0.125 -1.000
[3,] -0.750 -0.125 -0.875 -0.500 0.250
[4,] -0.625 0.250 -0.375 1.000 0.125
[5,] 0.500 0.875 -0.125 -0.750 -0.375
[6,] 1.000 -0.375 -0.250 0.625 -0.875
[7,] 0.250 -0.625 1.000 -0.375 0.750
[8,] 0.125 0.750 0.500 0.875 0.625
[9,] 0.000 0.000 0.000 0.000 0.000
[10,] 0.375 -1.000 -0.625 0.250 0.500
[11,] 0.875 0.500 -0.750 -0.125 1.000
[12,] 0.750 0.125 0.875 0.500 -0.250
[13,] 0.625 -0.250 0.375 -1.000 -0.125
[14,] -0.500 -0.875 0.125 0.750 0.375
[15,] -1.000 0.375 0.250 -0.625 0.875
[16,] -0.250 0.625 -1.000 0.375 -0.750
[17,] -0.125 -0.750 -0.500 -0.875 -0.625
[[2]]
[,1] [,2] [,3] [,4] [,5] [,6]
[1,] -0.375 1.000 0.625 -0.250 -0.500 0.875
[2,] -0.875 -0.500 0.750 0.125 -1.000 -0.375
[3,] -0.750 -0.125 -0.875 -0.500 0.250 0.625
[4,] -0.625 0.250 -0.375 1.000 0.125 -0.750
[5,] 0.500 0.875 -0.125 -0.750 -0.375 -1.000
[6,] 1.000 -0.375 -0.250 0.625 -0.875 0.500
[7,] 0.250 -0.625 1.000 -0.375 0.750 -0.125
[8,] 0.125 0.750 0.500 0.875 0.625 0.250
[9,] 0.000 0.000 0.000 0.000 0.000 0.000
[10,] 0.375 -1.000 -0.625 0.250 0.500 -0.875
[11,] 0.875 0.500 -0.750 -0.125 1.000 0.375
[12,] 0.750 0.125 0.875 0.500 -0.250 -0.625
[13,] 0.625 -0.250 0.375 -1.000 -0.125 0.750
[14,] -0.500 -0.875 0.125 0.750 0.375 1.000
[15,] -1.000 0.375 0.250 -0.625 0.875 -0.500
[16,] -0.250 0.625 -1.000 0.375 -0.750 0.125
[17,] -0.125 -0.750 -0.500 -0.875 -0.625 -0.250
[[3]]
[,1] [,2] [,3] [,4] [,5] [,6] [,7]
[1,] -0.375 1.000 0.625 -0.250 -0.500 0.875 0.125
[2,] -0.875 -0.500 0.750 0.125 -1.000 -0.375 0.250
[3,] -0.750 -0.125 -0.875 -0.500 0.250 0.625 1.000
[4,] -0.625 0.250 -0.375 1.000 0.125 -0.750 0.500
[5,] 0.500 0.875 -0.125 -0.750 -0.375 -1.000 0.625
[6,] 1.000 -0.375 -0.250 0.625 -0.875 0.500 0.750
[7,] 0.250 -0.625 1.000 -0.375 0.750 -0.125 0.875
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