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Plackett–Burman Array

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Factorial Arrays
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Plackett–Burman Array
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Is a serie of Orthogonal Arrays with all the factors on two levels. Some of the Plackett–Burman Array are the same as the standard Orthogonal Arrays.

Selecting a Orthogonal array

Menu => DOE => Factorial Array select the Plackett–Burman tab
Select the chose the array.

The arrays

Name Rows 2 Levels
PB4 4 3
PB8 8 7
PB12 12 11
PB16 16 15
PB20 20 19
PB24 24 23
PB28 28 27
PB32 32 31
PB36 36 35
PB40 40 39
PB44 44 43
PB48 48 47
When 4 or more levels are needed columns can be combined to achieve this (see edit factorial array) .

PB4

Tests ↓ Factors
A B C
1 -1 -1 -1
2 -1 1 1
3 1 -1 1
4 1 1 -1

PB8

Tests ↓ Factors
A B C D E F G
1 -1 -1 -1 -1 -1 -1 -1
2 -1 -1 -1 1 1 1 1
3 -1 1 1 -1 -1 1 1
4 -1 1 1 1 1 -1 -1
5 1 -1 1 -1 1 -1 1
6 1 -1 1 1 -1 1 -1
7 1 1 -1 -1 1 1 -1
8 1 1 -1 1 -1 -1 1

PB12

Tests ↓ Factors
A B C D E F G H I J K
1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1
2 -1 -1 -1 -1 -1 1 1 1 1 1 1
3 -1 -1 1 1 1 -1 -1 -1 1 1 1
4 -1 1 -1 1 1 -1 1 1 -1 -1 1
5 -1 1 1 -1 1 1 -1 1 -1 1 -1
6 -1 1 1 1 -1 1 1 -1 1 -1 -1
7 1 -1 1 1 -1 -1 1 1 -1 1 -1
8 1 -1 1 -1 1 1 1 -1 -1 -1 1
9 1 -1 -1 1 1 1 -1 1 1 -1 -1
10 1 1 1 -1 -1 -1 -1 1 1 -1 1
11 1 1 -1 1 -1 1 -1 -1 -1 1 1
12 1 1 -1 -1 1 -1 1 -1 1 1 -1

PB16

Tests ↓ Factors
A B C D E F G H I J K L M N O
1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1
2 -1 -1 -1 -1 -1 -1 -1 1 1 1 1 1 1 1 1
3 -1 -1 -1 1 1 1 1 -1 -1 -1 -1 1 1 1 1
4 -1 -1 -1 1 1 1 1 1 1 1 1 -1 -1 -1 -1
5 -1 1 1 -1 -1 1 1 -1 -1 1 1 -1 -1 1 1
6 -1 1 1 -1 -1 1 1 1 1 -1 -1 1 1 -1 -1
7 -1 1 1 1 1 -1 -1 -1 -1 1 1 1 1 -1 -1
8 -1 1 1 1 1 -1 -1 1 1 -1 -1 -1 -1 1 1
9 1 -1 1 -1 1 -1 1 -1 1 -1 1 -1 1 -1 1
10 1 -1 1 -1 1 -1 1 1 -1 1 -1 1 -1 1 -1
11 1 -1 1 1 -1 1 -1 -1 1 -1 1 1 -1 1 -1
12 1 -1 1 1 -1 1 -1 1 -1 1 -1 -1 1 -1 1
13 1 1 -1 -1 1 1 -1 -1 1 1 -1 -1 1 1 -1
14 1 1 -1 -1 1 1 -1 1 -1 -1 1 1 -1 -1 1
15 1 1 -1 1 -1 -1 1 -1 1 1 -1 1 -1 -1 1
16 1 1 -1 1 -1 -1 1 1 -1 -1 1 -1 1 1 -1

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