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Quasi-optimality under pseudo F statistic in clustering data

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journal contribution
posted on 2018-01-01, 00:00 authored by T Hochin, Y Hayashi, H Nomiya, Morshed Chowdhury
Pseudo F statistic is often used in deciding the number of clusters. A set of clusters having the largest pseudo F value is selected as the optimum set of clusters. This paper proposes the quasi-optimum set of clusters, whose pseudo F value is larger than those of other sets of clusters, whose numbers are around the number of clusters in the quasi-optimum set. The before and behind (BB) difference of pseudo F values is proposed to find the number of clusters in the quasi-optimum set. The relative BB difference of pseudo F values, which is the ratio of the BB difference of pseudo F values to the pseudo F value itself, is also proposed to find it when the pseudo F value severely varies. This paper shows some examples to demonstrate that the BB differences of pseudo F values and the relative ones work well in finding quasi-optimum sets of clusters.

History

Journal

International Journal of Engineering and Technology (UAE)

Volume

7

Pagination

320-324

Location

Dubai, United Arab Emirates

Open access

  • Yes

eISSN

2227-524X

Publication classification

CN Other journal article, X Not reportable

Issue

2

Publisher

Science Publishing Corporation

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