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Separating Location and Dispersion Effects in Unreplicated Fractional Factorial Designs

Summary: [This abstract is based on the authors' abstract.]

Fractional factorial designs are often used in industry to screen potentially important factors of their impact on the mean response or location effect. These experiments are often unreplicated in order to save resources, and so only one observation is made at each design point. These unreplicated designs are also used to study dispersion effects, although such effects are often confounded with pairs of location effects. The situation where a single dispersion effect is identified is investigated here. A procedure was developed to determine the minimum number of additional runs needed to totally remove the confounding between this dispersion effect and two location effects. Where replication is not feasible, a test was developed for a pair of unidentified location effects conditioned on a single dispersion effect being detected.

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  • Author: McGrath, Richard N.
  • Journal: Journal of Quality Technology