Skip to main content

A “Leaps and Bounds” Algorithm for Variable Selection in Two-Group Discriminant Analysis

  • Conference paper
Advances in Data Science and Classification

Abstract

An algorithm that identifies the variable subsets with most discriminatory power (in a predictive sense) is proposed. This algorithm minimizes parametric estimates of the error rate among all the possible variable subsets, evaluating only a fraction of the total number of subsets. The computational feasibility is illustrated by simulation experiments.

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

  • Furnival, G.M. 1971. All Possible Regressions with Less Computation. Technometrics, 13: 403–408.

    Article  Google Scholar 

  • Furnival, G.M. & Wilson, R.W. 1974. Regressions by Leaps and Bounds. Technometrics, 16: 499–511.

    Article  Google Scholar 

  • Huberty, C.J. 1994. Applied Discriminant Analysis, New York, NY: Wiley.

    Google Scholar 

  • Huberty, C.J. & Wisenbaker, J.M. 1992. Variable Importance in Multivariate Group Comparisons. Journal of Educational Statistics, 17: 75–91.

    Article  Google Scholar 

  • Jain, A.K. & Waller, W.G. 1978. On the Optimal Number of Features in the Classification of Multivariate Gaussian Data. Pattern Recognition, 10: 365–374.

    Article  Google Scholar 

  • Lachenbruch, P A. 1968. On Expected Probabilities of Misclassification in Discriminant Analysis, Necessary Sample Size, and a Relation with the Multiple Correlation Coefficient. Biometrics, 24: 823–834.

    Article  Google Scholar 

  • McCabe, G.P. 1975. Computations for Variable Selection in Discriminant Analysis. Technometrics, 17: 103–109.

    Article  Google Scholar 

  • McKay, R.J. & Campbell, N.A. 1982a. Variable Selection Techniques in Discriminant Analysis I. Description. British Journal of Mathematical and Statistical Psychology, 3 5: 1–29.

    Article  Google Scholar 

  • McKay, R.J. & Campbell, N.A. 1982b. Variable Selection Techniques in Discriminant Analysis II. Allocation. British Journal of Mathematical and Statistical Psychology, 35: 30–41.

    Article  Google Scholar 

  • McLachlan, G. J. 1974. An Asymptotic Unbiased Technique for Estimating the Error Rates in Discriminant Analysis. Biometrics, 30: 239–249.

    Article  Google Scholar 

  • McLachlan, G. J. 1992. Discriminant Analysis and Statistical Pattern Recognition, New York, NY: Wiley.

    Book  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1998 Springer-Verlag Berlin · Heidelberg

About this paper

Cite this paper

Duarte Silva, A.P. (1998). A “Leaps and Bounds” Algorithm for Variable Selection in Two-Group Discriminant Analysis. In: Rizzi, A., Vichi, M., Bock, HH. (eds) Advances in Data Science and Classification. Studies in Classification, Data Analysis, and Knowledge Organization. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-72253-0_31

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-72253-0_31

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-64641-9

  • Online ISBN: 978-3-642-72253-0

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics