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A note on the robustness of PBIBD(2)s against breakdown in the event 2 of observation loss

Godolphin, Janet (2018) A note on the robustness of PBIBD(2)s against breakdown in the event 2 of observation loss Australian and New Zealand Journal of Statistics.

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Abstract

Robustness against design breakdown following observation loss is investigated for Partially Balanced Incomplete Block Designs with two associate classes (PBIBD(2)s). New results are obtained which add to the body of knowledge on PBIBD(2)s. In particular, using an approach based on the E-value of a design, all PBIBD(2)s with triangular and Latin square association schemes are established as having optimal block breakdown number. Furthermore, for group divisible designs not covered by existing results in the literature, a sufficient condition for optimal block breakdown number establishes that all members of some design sub-classes have this property.

Item Type: Article
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
NameEmailORCID
Godolphin, JanetJ.Godolphin@surrey.ac.ukUNSPECIFIED
Date : 1 May 2018
Copyright Disclaimer : This is the peer reviewed version of an article accepted for publication in Australian and New Zealand Journal of Statistics. Copyright 2017 Australian Statistical Publishing Association Inc. Published by Wiley Publishing Asia Pty Ltd. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Self-Archiving.
Uncontrolled Keywords : concurrence; connectivity; design breakdown; E-value; information matrix
Depositing User : Melanie Hughes
Date Deposited : 01 Feb 2018 11:16
Last Modified : 01 Feb 2018 11:16
URI: http://epubs.surrey.ac.uk/id/eprint/845724

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