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 two-level designs. We connect the block diagonal information matrix to a class of designs known as parallel flats designs and gain insights into the structure of what is estimable and/or aliased. Three parallel flat designs represent one common example (e.g. three-quarter replicates of regular designs), but we show how the block diagonal structure arises in other contexts. Recognizing this structure helps with understanding the advantages of alternative designs as well as analysis.
- : David J. Edwards and Robert W. Mee
- : Virginia Commonwealth University; The University of Tennessee
- : David Edwards
- : experimental_design
- : intermediate
- : firstname.lastname@example.org
Utilizing the Structure of Two-Level Designs for Design Choice and Analysis