Optimal incomplete-block designs with low replication : a unified approach using graphs
MetadataShow full item record
An incomplete-block design defines both a concurrence graph and a Levi graph. Properties of either graph can be used to compare designs with respect to D-optimality and with respect to A-optimality. In this paper we show that optimality of the design implies strong conditions on connectivity properties of the graph, and use this to classify the optimal designs when the number of observational units is close to minimal.
Bailey , R A & Sajjad , A 2021 , ' Optimal incomplete-block designs with low replication : a unified approach using graphs ' , Journal of Statistical Theory and Practice , vol. 15 , no. 4 , 84 . https://doi.org/10.1007/s42519-021-00215-x
Journal of Statistical Theory and Practice
Copyright © The Author(s) 2021. This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
Items in the St Andrews Research Repository are protected by copyright, with all rights reserved, unless otherwise indicated.