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Selected illustrations of fractional factorial screening experiments
This Technical Report describes the steps necessary to use and to analyse two-level fractional factorial designs through illustration with six distinct applications of this methodology.
NOTE 1 Each of these six illustrations is similar in that resource constraints precluded the possibility of naively running full factorial designs. Other commonalities among the six examples are noted [e.g. study objective, two levels for factors, response variable(s), factors affecting the response]. On the other hand, the individual illustrations have some salient features that are distinct.
NOTE 2 The examples suggest the spectrum of possibilities both in application area and in choice of fractional factorial designs. Fractional factorial designs can be used to:
Fractional factorial designs include screening designs and designs that have been popularized by Genichi Taguchi.
NOTE 3 Fractional factorial experiments are sometimes employed by individuals (so-called “black belts” or “green belts”) associated with Six Sigma methods. Six Sigma methods are concerned with problem solving and continuous improvement. A fractional factorial experiment can be a cost-effective tool for obtaining timely improvements of processes and products. Detailed discussions and treatment of other tools employed by Six Sigma practitioners can be identified in various ISO/TC 69/SC 7 documents.
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