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Evaluation of the arrows method for classification of data

Evaluation of the arrows method for classification of data
Evaluation of the arrows method for classification of data
We evaluate the Arrows Classification Method (ACM) for grouping objects based on
the similarity of their data. This is a new method, which aims to achieve a balance
between the conflicting objectives of maximizing internal cohesion and external isolation
in the output groups. The method is widely applicable, especially in simulation input and
output modelling, and has previously been used for grouping machines on an assembly
line, based on data on time-to-repair; and hospital procedures, based on length-of-stay
data. The similarity of the data from a pair of objects is measured using the two-sample
Cram´er-von-Mises goodness of fit statistic, with bootstrapping employed to find the
significance or p-value of the calculated statistic. The p-values coming from the paired
comparisons serve as inputs to the ACM, and allow the objects to be classified such that
no pair of objects that are grouped together have significantly different data. In this
article, we give the technical details of the method and evaluate its use through testing
with specially generated samples. We will also demonstrate its practical application with
two real examples
0217-5959
121-142
Lu, Lanting
995a0288-56c7-4d1e-840b-ef46e2084bb7
Currie, Christine S.M.
dcfd0972-1b42-4fac-8a67-0258cfdeb55a
Lu, Lanting
995a0288-56c7-4d1e-840b-ef46e2084bb7
Currie, Christine S.M.
dcfd0972-1b42-4fac-8a67-0258cfdeb55a

Lu, Lanting and Currie, Christine S.M. (2010) Evaluation of the arrows method for classification of data. Asia-Pacific Journal of Operational Research, 27 (1), 121-142. (doi:10.1142/S0217595910002600).

Record type: Article

Abstract

We evaluate the Arrows Classification Method (ACM) for grouping objects based on
the similarity of their data. This is a new method, which aims to achieve a balance
between the conflicting objectives of maximizing internal cohesion and external isolation
in the output groups. The method is widely applicable, especially in simulation input and
output modelling, and has previously been used for grouping machines on an assembly
line, based on data on time-to-repair; and hospital procedures, based on length-of-stay
data. The similarity of the data from a pair of objects is measured using the two-sample
Cram´er-von-Mises goodness of fit statistic, with bootstrapping employed to find the
significance or p-value of the calculated statistic. The p-values coming from the paired
comparisons serve as inputs to the ACM, and allow the objects to be classified such that
no pair of objects that are grouped together have significantly different data. In this
article, we give the technical details of the method and evaluate its use through testing
with specially generated samples. We will also demonstrate its practical application with
two real examples

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Published date: February 2010
Organisations: Operational Research

Identifiers

Local EPrints ID: 149229
URI: http://eprints.soton.ac.uk/id/eprint/149229
ISSN: 0217-5959
PURE UUID: dad302ef-feaa-4aa9-b307-2d8158f055ee
ORCID for Christine S.M. Currie: ORCID iD orcid.org/0000-0002-7016-3652

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Date deposited: 30 Apr 2010 08:17
Last modified: 14 Mar 2024 02:47

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Author: Lanting Lu

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