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A Third Stage in Regression Tree Growing: Searching for Statistical Reliability

  • Carmela Cappelli
  • Francesco Mola
  • Roberta Siciliano
Conference paper
Part of the Studies in Classification, Data Analysis, and Knowledge Organization book series (STUDIES CLASS)

Abstract

This paper suggests the introduction of a third stage in regresssion tree growing approach. To this aim, a statistical testing procedure based on the F statistics, is proposed. In particular, the testing procedure is applied to the CART sequence of pruned subtrees, resulting in a single final tree structured prediction rule, which is statistically reliable and might not coincide with any tree in the sequence itself.

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References

  1. BREIMAN L., FRIEDMAN J.H., OLSHEN R. A. and STONE C.J. (1984). Classification and Regression Trees. Wadsworth, Belmont CA.Google Scholar
  2. CAPPELLI, C., MOLA, F. and SICILIANO, R. (1998): An Alternative Pruning Method Based on the Impurity-Complexity Measure. In: R. Payne and P. Green (Eds):Proceedings in Computational Statistics, Physica-Verlag, Heidelberg, 221–226.Google Scholar
  3. MINGERS, J. (1987): Expert Systems- Rule Induction with Statistical data. Journal of the Operational Research Society, 38, 39–47.Google Scholar
  4. SICILIANO, R. and MOLA, F (1996): A Fast Regression Tree Procedure. In: A. Forcina et al. (Eds): Proceedings of the 11th International Workshop on Statistical Modelling, Graphos, Perugia, 332–340.Google Scholar
  5. ZHANG, H. and SINGER, B. (1999). Recursive partitioning in the health science, Springer.Google Scholar

Copyright information

© Springer-Verlag Berlin · Heidelberg 2000

Authors and Affiliations

  • Carmela Cappelli
    • 1
  • Francesco Mola
    • 2
  • Roberta Siciliano
    • 1
  1. 1.Department of Mathematics and StatisticsNaples University Federico II Monte S. AngeloNapoliItaly
  2. 2.Department of EconomicsUniversity of Cagliari Viale FraignazioCagliariItaly

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