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Fractional Factorial Designs With Admissible Sets of Clear Two-Factor Interactions

Summary: When selecting two-level fractional factorial designs allowing joint estimation of all main effects and some selected two-factor interactions one must find those designs whose sets of clear two-factor interactions include the specified interactions. The authors use a linear graph to represent the set of clear two-factor interactions for a 2m-p resolution IV design. All even 2m-p resolution IV designs are shown to be inadmissible, having graphs which are isomorphic to a proper subgraph of another 2m-p resolution IV design. A classical subgraph-isomorphism algorithm determines admissible designs of 32, 64, and 128 runs, giving substantially reduced lists of admissible designs.

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  • Topics: Statistics
  • Keywords: Aberration, Algorithm, Alias, Estimation, Fractional factorial designs
  • Author: Wu, Huaiqing; Mee, Robert; Tang, Boxin
  • Journal: Technometrics