[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.5351/CKSS.2005.12.2.305

Estimating the Number of Clusters using Hotelling's

Choi, Kyung-Mee (Department of Mathematics, College of Science and Technology, Hongik University at Jochiwon)

Publication Information

Communications for Statistical Applications and Methods / v.12, no.2, 2005 , pp. 305-312 More about this Journal

Abstract

In the cluster analysis, Hotelling's $T^2$ can be used to estimate the unknown number of clusters based on the idea of multiple comparison procedure. Especially, its threshold is obtained according to the probability of committing the type one error. Examples are used to compare Hotelling's $T^2$ with other classical location test statistics such as Sum-of-Squared Error and Wilks' $\Lambda$ The hierarchical clustering is used to reveal the underlying structure of the data. Also related criteria are reviewed in view of both the between variance and the within variance.

Keywords

Multiple Comparison Procedure; Type One Error; Bonferroni-Type Significance Level;

Citations & Related Records

Reference

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