https://doi.org/10.1351/goldbook.10080
Incomplete experimental design to estimate main effects for which each combination of factor levels for any pair of factors appears the same number of times.
Notes:
- Plackett–Burman designs are typically given for two levels, with a number of experiments that is a multiple of 4 but not a power of 2. (The latter case is a fractional-factorial design).
- For \(4 \times N\) experiments, \(4 \times N − 1\) main effects and the mean are estimated.
- If less than \(4 \times N − 1\) factors are being studied, dummy factors are inserted which allow estimation of the repeatability standard deviation of the measurement results.
Example: The coded experimental design for \(4 \times N = 12\), where \(+1\) and \(-1\) represent the two levels of factors \(X_{1}\) … \(X_{11}\) is given below. The order of performing the runs should be randomised.