Journal of the Korean Statistical Society

The Korean Statistical Society (한국통계학회)
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A Method to Predict the Number of Clusters

  • Chae, Seong-San (Department of Statistics, Taejon University) ;
  • Willian D. Warde (Department of Statistics, Oklahoma State Univ.)
  • Published : 1991.12.01
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Abstract

The problem of determining the number of clusters, K. is the main objective of this study. Attention is focused on the use of Rand(1971)'s $C_{k}$ statistic with some agglomerative clustering algorithms(ACA) defined in the ($\beta$, $\pi$) plane in predicting the number of clusters within the given set of data. The (k, $C_{k}$) plots for k=1, 2, …, N are explored by a Monte Carlo study. Based on its performance, the use of $C_{k}$ with the pair of ACA, (-.5, .75) and (-.25, .0), is recommended for predicting the number of clusters present within a set of data. data.

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