# Plackett–Burman Array

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 Orthogonal tab
Then Select 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