The PlackettBurman design is a type of Resolution III experimental design that is often used as a screening design. The number of runs in a PlackettBurman designs is a multiple of 4, thus avoiding the limitations of factorial and fractional factorial designs where the number of runs is 2^{k}.
The generating vectors for selected PlackettBurman designs are below:
n=8 
(+ + +  +  ) 
n=12 
(+ +  + + +    + ) 
n=16 
(+ + + +  +  + +   +   ) 
n=20 
(+ +   + + + +  +  +     + + ) 
n=24 
(+ + + + +  +  + +   + +   +  +    ) 
n=36 
( +  + + +    + + + + +  + + +   +     +  +  + +  + ) 
The generating vectors have ‘n1’ rows. The last row of a PlackettBurman design contains only ‘‘ values.
The design will have 'n1' columns and a factor will be allocated to each column:
 put the generating vector into the first column (column ‘A’)
 copy the last value from column A into the first row of column B
 slide the rest of the values from A below that value
 copy the last value from column B into the first row of column C
 slide the rest of the values from column B below that value
 continue until all the columns have been populated
