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Design Generator (Experimental Design)

In the design of experiments the design generators are the relationships that are used to create a fractional factorial design.

In the 24-1 design shown below we have allocated 'D' to the column that contains the 'ABC' interaction:

 A BCD B ACD C ABD AB CD AC BD BC AD D ABC 1 -1 -1 -1 1 1 1 -1 2 1 -1 -1 -1 -1 1 1 3 -1 1 -1 -1 1 -1 1 4 1 1 -1 1 -1 -1 -1 5 -1 -1 1 1 -1 -1 1 6 1 -1 1 -1 1 -1 -1 7 -1 1 1 -1 -1 1 -1 8 1 1 1 1 1 1 1

The design generator for this design is:

D = ABC

Once the design generator has been selected the defining relationships (defining words) and the rest of the aliasing structure follows.

Note that this is a 24-1 design and the choice of design generator is obvious. In a 2n-2 or higher design there will be several design generators, and several feasible choices.

 The Design of Experiments is covered in the MiC Quality basic Design of Experiments course and Advanced Design of Experiments course. Try out our courses by taking the first module of the Primer in Statistics free of charge.
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