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Activity Number:
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586
- Recent Developments in Designs of Experiments and Responses Surface Models
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Type:
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Contributed
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Date/Time:
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Wednesday, August 1, 2018 : 2:00 PM to 3:50 PM
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Sponsor:
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Section on Physical and Engineering Sciences
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Abstract #329681
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Title:
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Utilizing the Block Diagonal Covariance Structure of Nonregular Two-Level Designs
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Author(s):
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Robert Mee* and David J Edwards
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Companies:
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University of Tennessee and Virginia Commonwealth University
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Keywords:
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Fractional factorial;
Aliasing;
Parallel flats
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Abstract:
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Two-level fractional factorial designs are often used in screening scenarios to identify active factors. This presentation investigates the block diagonal structure of the information matrix of certain nonregular two-level designs. We connect the block diagonal information matrix to the parallel flats design literature and gain insights into the structure of what is estimable and/or aliased using the concept of minimal dependent sets. Three parallel flat designs represent one common example, but we show how the block diagonal structure arises in other contexts. Recognizing this structure helps with understanding the advantages of alternative designs.
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Authors who are presenting talks have a * after their name.
