Universiti Teknologi Malaysia Institutional Repository

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

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

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Official URL: https://www.researchgate.net/publication/288742329


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

Item Type:Article
Uncontrolled Keywords:ANOVA-Tukey, euclidean-distance, multidimensional scaling, pseudo-distance
Subjects:Q Science > QA Mathematics
ID Code:50461
Deposited By: Siti Nor Hashidah Zakaria
Deposited On:02 Dec 2015 10:09
Last Modified:14 Oct 2018 16:36

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