On the D-optimality of group divisible designs
type: Item
instance of: scholarly article
title: On the D-optimality of group divisible designs
zbMATH Open document ID: 0537.62059
DOI: 10.1016/0378-3758(84)90049-1
published in: Journal of Statistical Planning and Inference
publication date: 1984-01-01T00:00:00Z
review text: In recent years quite a few papers have appeared on optimality aspects of block designs. This paper is a contribution on D-optimality of group divisible designs (which form an important class of partially balanced incomplete block designs with two associate classes). It specifically establishes that connected group divisible designs with parameters \(v=mn\), \(m=v/2\), \(n=2\) and \(\lambda_ 2=\lambda_ 1\pm 1\) are D-optimal within their corresponding classes.
Mathematics Subject Classification ID: 62K05
Mathematics Subject Classification ID: 62K15
Mathematics Subject Classification ID: 62K10
zbMATH DE Number: 3854233
zbMATH Keywords: D-optimality
zbMATH Keywords: connected group divisible designs
author: Mike Jacroux
reviewed by: B. Leo Raktoe
MaRDI profile type: Publication
full work available at URL: 0378-3758(84)90049-1
OpenAlex ID: W2018620228
cites work: Optimality of certain asymmetrical experimental designs
cites work: Q3666077
cites work: Maximizing the total number of spanning trees in a graph: two related problems in graph theory and optimum design theory
cites work: On the comparison of PBIB designs with two associate classes
cites work: Q3667794
cites work: Nearly balanced incomplete block designs
cites work: Q3288481
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description: scientific article; zbMATH DE number 3854233