Bulletin of Data Analysis of Japanese Classification Society
Online ISSN : 2434-3382
Print ISSN : 2186-4195
Article
A New Biplot Procedure for Joint Classification of Objects and Variables with K-means Clustering
Naoto YamashitaShin-ichi Mayekawa
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2012 Volume 2 Issue 1 Pages 33-51

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Abstract

Biplots (Gabriel, 1971; Gower & Hand, 1996, Gower, Lubbe & Roux, 2011) provide thetwo-dimensional configurations of data matrices in which the rows (objects) and the columns(variables) of the matrices are plotted jointly. The biplots would be difficult to capture fordata matrices with a large number of objects and variables. In this paper, we consider suchmatrices of large sizes and propose a new biplot procedure. In this procedure, the objectsand variables are simultaneously classified into a small number of clusters using K-meansclustering (MacQueen, 1967), followed by bilplotting the resulting clusters of objects andvariables. This procedure allows us to capture configurations easily and further to grasp thememberships of objects and variables to clusters. A numerical simulation and a real dataexample are given to illustrate the effectiveness of proposed biplot procedure.

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© 2012 Japanese Classification Society
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