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Activity Number: 525 - Contributed Poster Presentations: Section on Statistics in Defense and National Security
Type: Contributed
Date/Time: Wednesday, July 31, 2019 : 10:30 AM to 12:20 PM
Sponsor: Section on Statistics in Defense and National Security
Abstract #306824
Title: On Generalizing the Foldover Technique to 3-Level Regular Fractional Factorial Designs
Author(s): R. Vincent Paris* and Max Morris
Companies: Iowa State University and Iowa State Univesity
Keywords: Foldover Technique; Experimental Design; Resolution IV Designs; 3 Level Experiments; Fractional Factorial Designs
Abstract:

The foldover technique allows for an expansion of a fractional factorial experiment with two level factors to achieve a resolution IV design from a resolution III design. Resolution IV designs allow for unbiased estimation of main effects if third order interactions and higher are 0. This poster presentation lays out a scheme that generalizes the foldover technique to regular fractional factorial experiments with three level factors by augmenting the design matrix by a rotation vector. The criterion for choosing an optimal rotation vector is discussed in detail. It is shown that no perfect analog exists to always achieving resolution IV designs for regular fractional factorial experiments with three level factors although minimum aberration can be gained in all situations, even where resolution IV designs are not available.


Authors who are presenting talks have a * after their name.

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