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3-point pseudo-scale distance measure for measuring indirect proximity

A typical proximity measure employed to find the distance between two points in multidimensional scaling techniques (MDS) is the Euclidean distance. This direct measurement approach however lacks the ability to extract more information from other points in the data. In this paper, we introduce a 3-p...

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Main Authors: Adnan, Norliza, Ahmad, Norhaiza, Ahmad, Maiza Hura
Format: Article
Published: Springer New York LLC 2013
Subjects:
QA Mathematics
Online Access:http://eprints.utm.my/id/eprint/50461/
https://www.researchgate.net/publication/288742329
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spelling my.utm.504612018-10-14T08:36:58Z http://eprints.utm.my/id/eprint/50461/ 3-point pseudo-scale distance measure for measuring indirect proximity Adnan, Norliza Ahmad, Norhaiza Ahmad, Maiza Hura QA Mathematics A typical proximity measure employed to find the distance between two points in multidimensional scaling techniques (MDS) is the Euclidean distance. This direct measurement approach however lacks the ability to extract more information from other points in the data. In this paper, we introduce a 3-point pseudo-scale distance measure based on Kendall's tertiary treatment of ties (TTT). This distance is coupled with ANOVA-Tukey's test approach to reveal the hidden structure where the Euclidean distance used in multidimensional scaling technique is not able to cater. To demonstrate the proposed technique, a set of rainfall data recorded between the years 1968 and 2003 over nine rain-gauge stations in Peninsular Malaysia are used Springer New York LLC 2013 Article PeerReviewed Adnan, Norliza and Ahmad, Norhaiza and Ahmad, Maiza Hura (2013) 3-point pseudo-scale distance measure for measuring indirect proximity. Applied Mathematical Sciences, 7 (25-28). pp. 1239-1247. ISSN 1312-885X https://www.researchgate.net/publication/288742329
institution Universiti Teknologi Malaysia
building UTM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Malaysia
content_source UTM Institutional Repository
url_provider http://eprints.utm.my/
topic QA Mathematics
spellingShingle QA Mathematics
Adnan, Norliza
Ahmad, Norhaiza
Ahmad, Maiza Hura
3-point pseudo-scale distance measure for measuring indirect proximity
description A typical proximity measure employed to find the distance between two points in multidimensional scaling techniques (MDS) is the Euclidean distance. This direct measurement approach however lacks the ability to extract more information from other points in the data. In this paper, we introduce a 3-point pseudo-scale distance measure based on Kendall's tertiary treatment of ties (TTT). This distance is coupled with ANOVA-Tukey's test approach to reveal the hidden structure where the Euclidean distance used in multidimensional scaling technique is not able to cater. To demonstrate the proposed technique, a set of rainfall data recorded between the years 1968 and 2003 over nine rain-gauge stations in Peninsular Malaysia are used
format Article
author Adnan, Norliza
Ahmad, Norhaiza
Ahmad, Maiza Hura
author_facet Adnan, Norliza
Ahmad, Norhaiza
Ahmad, Maiza Hura
author_sort Adnan, Norliza
title 3-point pseudo-scale distance measure for measuring indirect proximity
title_short 3-point pseudo-scale distance measure for measuring indirect proximity
title_full 3-point pseudo-scale distance measure for measuring indirect proximity
title_fullStr 3-point pseudo-scale distance measure for measuring indirect proximity
title_full_unstemmed 3-point pseudo-scale distance measure for measuring indirect proximity
title_sort 3-point pseudo-scale distance measure for measuring indirect proximity
publisher Springer New York LLC
publishDate 2013
url http://eprints.utm.my/id/eprint/50461/
https://www.researchgate.net/publication/288742329
_version_ 1643652802295103488
score 13.214268

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