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Fractional Factorial Designs

Factorial designs involve testing several (n) factors at two levels, high and low. A Fractional Factorial experiment uses only a half (2n-1), a quarter (2n-2), or some other division by a power of two of the number of treatments that would be required for a Full Factorial Experiment.

A Full Factorial design with 3 factors (23 design) would require 8 treatments. The example shows a 23-1 design, it requires only 4 treatments:

 Treatment A B C 1 -1 -1 +1 2 +1 -1 -1 3 -1 +1 -1 4 +1 +1 +1

The Fractional Factorial design is created by aliasing Factor C with the Interaction AB. This is a Resolution III design.

 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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