On orthogonal designs in order 48
type: Item
instance of: scholarly article
title: On orthogonal designs in order 48
zbMATH Open document ID: 1057.05018
author: W. H. Holzmann
author: H. Kharaghani
author: B. Tayfeh-Rezaie
author: Jennifer Seberry
published in: Journal of Statistical Planning and Inference
publication date: 2005-02-23T00:00:00Z
full work available at URL: https://ro.uow.edu.au/cgi/viewcontent.cgi
review text: The authors consider orthogonal designs of order 48 with three different entries. Here, an orthogonal design of order \(n\) is a \(n\times n\) square matrix with orthogonal rows. Moreover, the specified entries occur the same number of times in each row and in each column, where some of the entries may have a negative sign, and some may be zero. Different types of orthogonal designs are characterized by the number of replicates for the different entries. The authors claim that for order 48 and three different entries there are 3164 types, of which 3147 can be constructed by classical techniques. They propose two new methods of construction which can be used to obtain the remaining 17 types. No applications to statistics are indicated.
reviewed by: Rainer Schwabe
Mathematics Subject Classification ID: 05B20
zbMATH DE Number: 2137683
zbMATH Keywords: orthogonal design
MaRDI profile type: Publication
OpenAlex ID: W2077635098
cites work: Q4119216
cites work: Q4198777
cites work: On the orthogonal designs of order 24
cites work: Q4526645
cites work: On the orthogonal designs of order 40
cites work: Q4487080
DOI: 10.1016/J.JSPI.2003.10.001
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description: scientific article; zbMATH DE number 2137683