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An efficient procedure for the avoidance of disconnected incomplete block designs

Godolphin, JD and Warren, HR (2014) An efficient procedure for the avoidance of disconnected incomplete block designs Computational Statistics and Data Analysis, 71. pp. 1134-1146.

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Abstract

Knowledge of the cardinality and the number of minimal rank reducing observation sets in experimental design is important information which makes a useful contribution to the statistician's tool-kit to assist in the selection of incomplete block designs. Its prime function is to guard against choosing a design that is likely to be altered to a disconnected eventual design if observations are lost during the course of the experiment. A method is given for identifying these observation sets based on the concept of treatment separation, which is a natural approach to the problem and provides a vastly more efficient computational procedure than a standard search routine for rank reducing observation sets. The properties of the method are derived and the procedure is illustrated by four applications which have been discussed previously in the literature. © 2013 Elsevier Inc. All rights reserved.

Item Type: Article
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
AuthorsEmailORCID
Godolphin, JDUNSPECIFIEDUNSPECIFIED
Warren, HRUNSPECIFIEDUNSPECIFIED
Date : March 2014
Identification Number : 10.1016/j.csda.2013.09.025
Additional Information : NOTICE: this is the author’s version of a work that was accepted for publication in Computational Statistics and Data Analysis. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Computational Statistics and Data Analysis, 71, March 2014, DOI 10.1016/j.csda.2013.09.025.
Depositing User : Symplectic Elements
Date Deposited : 11 Nov 2014 12:44
Last Modified : 11 Nov 2014 12:44
URI: http://epubs.surrey.ac.uk/id/eprint/806554

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