Skip to main content
  • 571 Accesses

Abstract

Paired data occur in a natural way in ophthalmology and other medical fields concerning paired organs. In our paper we deal with the diagnosis of the eye disease “glaucoma” using quantitative measurements. We compare discriminant analysis to the conditional Rosner model. We derive a characterization of the Rosner model as a special case of linear discriminant analysis and present a simple graphical display which allows to check the assumptions of the Rosner model and the impact of diagnostic information from the fellow eye. In our clinical example, for known disease status of the fellow organ, pathological values of this organ decreased the disease probability of the selected organ.

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 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
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

  • Aao (American Academy Of Ophthalmology) (1998): Basic and Clinical Science Course 1998–1999, Section 10: Glaucoma.

    Google Scholar 

  • Fahrmeier, L. and Hamerle, A. (Eds.) (1996): Multivariate Statistische Verfahren (2nd ed.). de Gruyter, Berlin.

    Google Scholar 

  • Horn, F., Korth, M., and Martus, P. (1994): Quick full-field flicker test in glaucoma diagnosis: Correlations with perimetry and papillometry. Journal of Glaucoma, 3, 206–213.

    Article  Google Scholar 

  • Hosmer, D.W. and Lemeshow, S. (1989): Applied logistic regression. Wiley, New York.

    Google Scholar 

  • Korth, M., Nguyen, N.X., JÜnemann, A., Martus, P., and Jonas, J.B. (1994): VEP test of the blue-sensitive pathway in glaucoma. Investigative Ophthalmolology and Visual Science, 35, 2599–2610.

    Google Scholar 

  • Liang, K.Y. and Zeger, S.L. (1986): Longitudinal data analysis using generalized linear models. Biometrika, 73, 13–22.

    Article  Google Scholar 

  • Martus P.: Statistical methods for the evaluation of diagnostic measurements concerning paired organs. Statistics in Medicine, accepted for publication.

    Google Scholar 

  • Prentice, R.L. and Pyke, R. (1979): Logistic disease incidence models and case-control studies. Biometrika, 66, 401–411

    Google Scholar 

  • Rosner, B. (1984): Multivariate methods in ophthalmology with application to other paired-data situations. Biometrics, 40, 1025–1035.

    Article  Google Scholar 

  • Support: Deutsche Forschungsgemeinschaft (SFB 539)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2000 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Martus, P., Korth, M., Wisse, M. (2000). Discrimination in Paired Data Situations. In: Decker, R., Gaul, W. (eds) Classification and Information Processing at the Turn of the Millennium. Studies in Classification, Data Analysis, and Knowledge Organization. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-57280-7_44

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-57280-7_44

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-67589-1

  • Online ISBN: 978-3-642-57280-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics