Balanced fractional \(r^m\times s^n\) factorial designs and their analysis
type: Item
instance of: scholarly article
title: Balanced fractional \(r^m\times s^n\) factorial designs and their analysis
zbMATH Open document ID: 0473.62063
author: Ryuei Nishii
published in: Hiroshima Mathematical Journal
publication date: 1981-01-01T00:00:00Z
review text: This longish paper (after the reader has digested quite a bit of notation and algebra) presents results on fractional factorial designs of the \(r^m\times s^n\) type. Results on orthogonal and balenced fractional factorial designs (with most of the attention focused on odd-resolution types) are obtained using notions of asymmetrical orthogonal array, asymmetrical balanced arrays and multidimensional relationships. Determinant and trace optimal construction aspects are illustrated for the \(2^2\times 3^2\) balanced fractional factorial designs of resolution \(V\).
Mathematics Subject Classification ID: 62K15
zbMATH DE Number: 3742435
zbMATH Keywords: balancedness
zbMATH Keywords: odd resolution designs
zbMATH Keywords: optimality
zbMATH Keywords: asymmetrical arrays
zbMATH Keywords: multidimensional relationships
zbMATH Keywords: determinant
zbMATH Keywords: trace
reviewed by: B. Leo Raktoe
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3742435