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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主要な著者: Adnan, Norliza, Ahmad, Norhaiza, Ahmad, Maiza Hura
フォーマット: 論文
出版事項: Springer New York LLC 2013
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オンライン・アクセス:http://eprints.utm.my/id/eprint/50461/
https://www.researchgate.net/publication/288742329
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要約: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