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Selecting an Orthogonal or Nonorthogonal Two-Level Design for Screening

Summary: This article presents a comparison of criteria used to characterize two-level designs for screening purposes. To articulate the relationships among criteria, we focus on 7-factor designs with 16–32 runs and 11-factor designs with 20–48 runs. Screening based on selected designs for each of the run sizes considered is studied with simulation using a forward selection procedure and the Dantzig selector. This article compares Bayesian D-optimal designs, designs created algorithmically to optimize estimation capacity over various model spaces, and orthogonal designs by estimation-based criteria and simulation. In this way, we furnish both general insights regarding various design approaches, as well as a guide to make a choice among a few final candidate designs. Supplementary materials for this article are available online.

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  • Topics: Statistics
  • Keywords: Estimation capacity, False discovery rate, G-aberration, Orthogonal array, Power, Qb
  • Author: Mee, Robert W.; Schoen, Eric D.; Edwards, David J.
  • Journal: Technometrics