Optimal incomplete-block designs with low replication: a unified approach using graphs

DOI10.1007/s42519-021-00215-xzbMath1476.62166OpenAlexW3212178720MaRDI QIDQ2063878

Alia Sajjad, R. A. Bailey

Publication date: 3 January 2022

Published in: Journal of Statistical Theory and Practice (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s42519-021-00215-x

zbMATH Keywords

D-optimalityA-optimalityblock designLevi graphconcurrence graph

Mathematics Subject Classification ID

Optimal statistical designs (62K05) Statistical block designs (62K10)

Cites Work

• An algorithm for optimization of block designs
• Optimal block designs with minimal number of observations
• Variance and concurrence in block designs, and distance in the corresponding graphs
• Maximizing the total number of spanning trees in a graph: two related problems in graph theory and optimum design theory
• D-optimal block designs with at most six varieties
• Connected graphs with a minimal number of spanning trees
• A-optimal connected block designs with nearly minimal number of observations
• Theory of optimal designs
• D-optimal designs with minimal and nearly minimal number of units
• Block designs and electrical networks
• A note on robustness of D-optimal block designs for two-colour microarray experiments
• Circuits and efficiency in incomplete block designs
• Uncertain Resources and Optimal Designs : Problems and Perspectives
• Optimal Design of Experiments
• Experimental design for gene expression microarrays
• Near-Optimal Designs for Dual Channel Microarray Studies
• Self-dual configurations and regular graphs
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Optimal incomplete-block designs with low replication: a unified approach using graphs