Equineighboured balanced nested row-column designs
type: Item
instance of: scholarly article
title: Equineighboured balanced nested row-column designs
zbMATH Open document ID: 0661.62069
DOI: 10.1016/0378-3758(88)90122-X
author: S. H. Smith
published in: Journal of Statistical Planning and Inference
publication date: 1988-01-01T00:00:00Z
review text: This paper presents equineighboured balanced nested row-column designs for v treatments arranged in b blocks each comprising pq units further grouped into p rows and q columns. These are two-dimensional designs with the property that all pairs of treatments are neighbours equally frequently at all levels in both rows and columns. Methods of construction are given both for designs based on Latin squares and those where pq\(\leq v\). Cyclic equineighboured designs are defined and tabulated for \(5\leq v\leq 10\), \(p\leq 3\), \(q\leq 5\), where \(r=bpq/v\) is the number of replications of each treatment.
Mathematics Subject Classification ID: 62K99
Mathematics Subject Classification ID: 05B30
Mathematics Subject Classification ID: 62K10
Mathematics Subject Classification ID: 05B10
Mathematics Subject Classification ID: 05B15
zbMATH DE Number: 4080672
zbMATH Keywords: quasi-complete Latin squares
zbMATH Keywords: equineighboured balanced nested row-column designs
zbMATH Keywords: two-dimensional designs
zbMATH Keywords: Methods of construction
zbMATH Keywords: Cyclic equineighboured designs
MaRDI profile type: Publication
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full work available at URL: 0378-3758(88)90122-x
OpenAlex ID: W1985438472
description: scientific article; zbMATH DE number 4080672