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
