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The Use of Treatment Concurrences to Assess Robustness of Binary Block Designs Against the Loss of Whole Blocks

Godolphin, JD and Godolphin, EJ (2015) The Use of Treatment Concurrences to Assess Robustness of Binary Block Designs Against the Loss of Whole Blocks Australian and New Zealand Journal of Statistics, 57 (2). pp. 225-239.

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Abstract

© 2015 Australian Statistical Publishing Association Inc. Criteria are proposed for assessing the robustness of a binary block design against the loss of whole blocks, based on summing entries of selected upper non-principal sections of the concurrence matrix. These criteria improve on the minimal concurrence concept that has been used previously and provide new conditions for measuring the robustness status of a design. The robustness properties of two-associate partially balanced designs are considered and it is shown that two categories of group divisible designs are maximally robust. These results expand a classic result in the literature, obtained by Ghosh, which established maximal robustness for the class of balanced block designs.

Item Type: Article
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
AuthorsEmailORCID
Godolphin, JDUNSPECIFIEDUNSPECIFIED
Godolphin, EJUNSPECIFIEDUNSPECIFIED
Date : 3 June 2015
Identification Number : 10.1111/anzs.12119
Additional Information : This is the peer reviewed version of the following article: The Use of Treatment Concurrences to Assess Robustness of Binary Block Designs Against the Loss of Whole Blocks which has been published in final form at http://dx.doi.org/10.1111/anzs.12119. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Self-Archiving.
Depositing User : Symplectic Elements
Date Deposited : 29 Oct 2015 10:40
Last Modified : 04 Jun 2016 01:08
URI: http://epubs.surrey.ac.uk/id/eprint/808760

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