Skip to main content

A Two-Stage Predictive Splitting Algorithm in Binary Segmentation

  • Conference paper
Computational Statistics

Abstract

In the framework of binary segmentation, we propose a two-stage splitting algorithm which optimizes a defined predictability function. The idea is to find a binary tree whose nodes are internally most homogeneous and externally most heterogeneous with respect to the predictability of their cases. The main steps of the algorithm will be described. Some relations with the CART splitting procedure will be discussed and an example will be shown.

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 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
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.

Similar content being viewed by others

References

  1. Akaike, H. (1974). A new look at the statistical model identification. IEEE Transactions on Automatic Control, AC-19-6, 716–723.

    Article  Google Scholar 

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

    Google Scholar 

  3. Ciampi, A., Thiffault, J. and Sagman, U. (1988). Evaluation de classifications par le critere d’Akaike et la validation croisee. Revue Statistique Appliquees, XXXVI, 3, 51–68.

    Google Scholar 

  4. Diday, E. et al. (1980). Optimisation en classification automatique. INRIA, Le Chesnay.

    Google Scholar 

  5. Fisher, W.D. (1958). On grouping for maximal homogeneity. Journal of the American Statistical Association, 53, 789–798.

    Article  Google Scholar 

  6. Goodman, L.A. and Kruskal, W.H. (1954). Measures of association for crossclassification. Journal of the American and Statistical Association, 48, 732–762.

    Google Scholar 

  7. Gueguen, A. and Nakache, J.P. (1988). Methode de discrimination basee sur la construction d’un arbre de decision binaire. Revue Statistique Appliquee, XXXVI, 1, 19–38.

    Google Scholar 

  8. Lauro, N.C., Celeux, G. and Lechevallier, Y. (1982). Contributi dell’analisi multidimensionale nello studio di gruppi clinici a priori mal definiti. Rivista di Statistica Applicata, 93-117.

    Google Scholar 

  9. Meunier, P., Diday, E. and Rasson, J.P. (1986). Une methode de selection typologique de variables. Data Analysis and Informatics, IV, 319–329.

    Google Scholar 

  10. Mola, F. and Siciliano, R. (1991). A two-stage splitting criterion in binary segmentation. Technical Report 01–91 of Dipartimento di Matematica e Statistica, Università di Napoli.

    Google Scholar 

  11. Morgan, J.N. and Sonquist, J.A. (1963). Problems in the analysis of survey data and proposals. Journal of the American and Statistical Association, 58, 415–434.

    Article  Google Scholar 

  12. Rao, M.R. (1971). Cluster analysis and mathematical programming. Journal of the American and Statistical Association, 66, 622–626.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1992 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Mola, F., Siciliano, R. (1992). A Two-Stage Predictive Splitting Algorithm in Binary Segmentation. In: Dodge, Y., Whittaker, J. (eds) Computational Statistics. Physica, Heidelberg. https://doi.org/10.1007/978-3-662-26811-7_26

Download citation

  • DOI: https://doi.org/10.1007/978-3-662-26811-7_26

  • Publisher Name: Physica, Heidelberg

  • Print ISBN: 978-3-662-26813-1

  • Online ISBN: 978-3-662-26811-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics