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Plackett-Burman Designs
 

The Plackett-Burman design is a type of Resolution III experimental design that is often used as a screening design. The number of runs in a Plackett-Burman designs is a multiple of 4, thus avoiding the limitations of factorial and fractional factorial designs where the number of runs is 2k.

The generating vectors for selected Plackett-Burman designs are below:

n=8 (+ + + - + - -)
n=12 (+ + - + + + - - - + -)
n=16 (+ + + + - + - + + - - + - - -)
n=20 (+ + - - + + + + - + - + - - - - + + -)
n=24 (+ + + + + - + - + + - - + + - - + - + - - - -)
n=36 (- + - + + + - - - + + + + + - + + + - - + - - - - + - + - + + -- + -)

The generating vectors have ‘n-1’ rows. The last row of a Plackett-Burman design contains only ‘-‘ values.

The design will have 'n-1' 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
 

The Design of Experiments is covered in the MiC Quality basic Design of Experiments course and Advanced Design of Experiments course.

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