5.3. Choosing and running an experimental design
5.3.3. How do you select an experimental design?
18.104.22.168. Fractional factorial designs
There are very useful summaries of two-level fractional factorial designs for up to 11 factors originally published in the book ‘Statistics for Experimenters’ by G.E.P. Box, W.G. Hunter, and J.S. Hunter (New York, John Wiley & Sons; 1978). and the book "Design and Analysis of Experiments " by Douglas E Montgomery (New York, John Wiley & Sons , 1991)
They have a difference in the notation for the design generators. Box, Hunter, Hunter use numbers and Montgomery use capital letters according to the following scheme:
For example, the Design Generator 6 = 12345 is equivalent to
Note that the form of the designs follow the pattern explained in figures 9 through 12 above.
TABLE 3.17 Summary of Useful Fractional Factorial Designs