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The robustness of resolvable block designs against the loss of whole blocks or replicates

Godolphin, JD and Godolphin, EJ (2015) The robustness of resolvable block designs against the loss of whole blocks or replicates Journal of Statistical Planning and Inference, 163. pp. 34-42.

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Abstract

This paper considers the robustness of resolvable incomplete block designs in the event of two patterns of missing observations: loss of whole blocks and loss of whole replicates. The approach used to assess designs is based on the concept of block intersection which exploits the resolvability property of the design. This improves on methods using minimal treatment concurrence which have been used previously. It is shown that several classes of designs, including affine resolvable designs, square and rectangular lattice designs and two-category concurrence α-designs and αn-designs, are maximally robust; some of these classes of designs are also shown to be most replicate robust.

Item Type: Article
Subjects : subj_Mathematics
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
AuthorsEmailORCID
Godolphin, JDUNSPECIFIEDUNSPECIFIED
Godolphin, EJUNSPECIFIEDUNSPECIFIED
Date : 23 February 2015
Identification Number : 10.1016/j.jspi.2015.02.006
Copyright Disclaimer : © 2015. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/
Related URLs :
Depositing User : Symplectic Elements
Date Deposited : 12 Apr 2016 10:38
Last Modified : 12 Apr 2016 10:38
URI: http://epubs.surrey.ac.uk/id/eprint/808761

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