Skip to main content

Links Between Clustering and Assignment Procedures

  • Conference paper
COMPSTAT

Summary

In the situation in which a set of objects is summarized in terms of a smaller number of groups of similar objects, links are noted between two definitions of the word ‘classification’: obtaining groups of similar objects, and assigning objects to one of a set of existing groups. Some problems on which further work could be undertaken are described.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Aitchison, J. and Dunsmore, I.R. (1975), Statistical Prediction Analysis. Cambridge University Press, Cambridge.

    Book  Google Scholar 

  • Art, D., Gnanadesikan, R., and Kettenring, J.R. (1982), Data-based metrics for cluster analysis. Utilitas Mathematica 21A, 75–99.

    Google Scholar 

  • Breiman, L., Friedman, J.H., Olshen, R.A., and Stone, C.J. (1984), Classification and Regression Trees. Wadsworth, Belmont, California.

    Google Scholar 

  • Bryant, J. (1979), On the clustering of multidimensional pictorial data. Pattern Recognition 11, 115–125.

    Article  Google Scholar 

  • Crawford, R.M.M. and Wishart, D. (1967), A rapid multivariate method for the detection and classification of groups of ecologically related species. J. Ecol. 55, 505–524.

    Article  Google Scholar 

  • Defays, D. (1977), An efficient algorithm for a complete link method. Computer J. 20, 364–365.

    Article  Google Scholar 

  • Diday, E. and Govaert, G. (1977), Classification automatique avec distances adaptatives. R. A. I. R. O. Informatique/Computer Sciences 11, 329–349.

    Google Scholar 

  • Gordon, A.D. (1981), Classification: Methods for the Exploratory Analysisof Multivariate Data. Chapman and Hall, London.

    Google Scholar 

  • Gostick, R.W. (1979), Software and algorithms for the distributed — array processors. ICL Technical Journal 2, 116–135.

    Google Scholar 

  • Gower, J.C. (1974), Maximal predictive classification. Biometrics 30, 643–654.

    Article  Google Scholar 

  • Hand, D.J. (1981), Discrimination and Classification. Wiley, Chichester.

    Google Scholar 

  • Jambu, M. and Lebeaux, M.-O. (1983), Cluster Analysis and DataAnalysis. North Holland, Amsterdam.

    Google Scholar 

  • Lance, G.N. and Williams, W.T. (1968), Note on a new information- statistic class if icatory program. Computer J. 11, 195.

    Google Scholar 

  • Lefkovitch, L.P. (1978), Cluster generation and grouping using mathematical programming. Math. Biosciences 41, 91–110.

    Article  Google Scholar 

  • Lefkovitch, L.P. (1980), Conditional clustering. Biometrics 36, 43–58.

    Article  Google Scholar 

  • Maronna, R. and Jacovkis, P.M. (1974), Multivariate procedures with variable metrics. Biometrics 30, 499–505.

    Article  Google Scholar 

  • Morrison, D.F. (1976), Multivariate Statistical Methods (Second Edition). McGraw-Hill, New York.

    Google Scholar 

  • Payne, R.W. and Preece, D.A. (1980), Identification keys and diagnostic tables: a review (with discussion). J.R. Statist. Soc. A 143, 253–292.

    Article  Google Scholar 

  • Rohlf, F.J. (1970), Adaptive hierarchical clustering schemes, Syst. Zool. 19, 58–82.

    Article  Google Scholar 

  • Sibson, R. (1973), SLINK: am optimally efficient algorithm for the single link method. Computer J. 16, 30–34.

    Article  Google Scholar 

  • Wishart, D. (1985), Estimation of missing values and diagnosis using hierarchical classifications. Computational Statistics Quarterly 2, 125–134.

    Google Scholar 

  • Zupan, J. (1982), Clustering of Large Data Sets. Research Studies Press, Letchworth.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1986 Physica-Verlag, Heidelberg for IASC (International Association for Statistical Computing)

About this paper

Cite this paper

Gordon, A.D. (1986). Links Between Clustering and Assignment Procedures. In: De Antoni, F., Lauro, N., Rizzi, A. (eds) COMPSTAT. Physica-Verlag HD. https://doi.org/10.1007/978-3-642-46890-2_22

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-46890-2_22

  • Publisher Name: Physica-Verlag HD

  • Print ISBN: 978-3-7908-0355-6

  • Online ISBN: 978-3-642-46890-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics