Construction and analysis of edge designs from skew-symmetric supplementary difference sets

Alanazi, T, Georgiou, S and Stylianou, S 2018, 'Construction and analysis of edge designs from skew-symmetric supplementary difference sets', Communications in Statistics - Theory and Methods, vol. 47, no. 20, pp. 5064-5076.

Document type: Journal Article
Collection: Journal Articles

Title Construction and analysis of edge designs from skew-symmetric supplementary difference sets
Author(s) Alanazi, T
Georgiou, S
Stylianou, S
Year 2018
Journal name Communications in Statistics - Theory and Methods
Volume number 47
Issue number 20
Start page 5064
End page 5076
Total pages 13
Publisher Taylor and Francis Inc.
Abstract The purpose of screening experiments is to identify the dominant variables from a set of many potentially active variables which may affect some characteristic y. Edge designs were recently introduced in the literature and are constructed by using conferences matrices and were proved to be robust. We introduce a new class of edge designs which are constructed from skew-symmetric supplementary difference sets. These designs are particularly useful since they can be applied for experiments with an even number of factors and they may exist for orders where conference matrices do not exist. Using this methodology, examples of new edge designs for 6, 14, 22, 26, 38, 42, 46, 58, and 62 factors are constructed. Of special interest are the new edge designs for studying 22 and 58 factors because edge designs with these parameters have not been constructed in the literature since conference matrices of the corresponding order do not exist. The suggested new edge designs achieve the same model-robustness as the traditional edge designs. We also suggest the use of a mirror edge method as a test for the linearity of the true underlying model. We give the details of the methodology and provide some illustrating examples for this new approach. We also show that the new designs have good D-efficiencies when applied to first order models.
Subject Combinatorics and Discrete Mathematics (excl. Physical Combinatorics)
Applied Statistics
Statistical Theory
Keyword(s) Conference matrix
factorial design
linear model
screening design
supplementary difference set.
DOI - identifier 10.1080/03610926.2017.1386310
Copyright notice © 2018 Taylor and Francis Group, LLC
ISSN 0361-0926
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