Skip to main content

A New Approach for Testing the Significance of Differences Between ROC Curves Measured from Correlated Data

  • Chapter
Information Processing in Medical Imaging

Abstract

Receiver Operating Characteristic analysis is now generally recognized as the most appropriate methodology for evaluating the diagnostic performance of medical imaging procedures (1–7). ROC analysis has been used in the field of psychophysics for three decades, and its theory and experimental methodology have been developed in considerable detail (8–13). Perhaps surprisingly, the statistical properties of ROC measures had received relatively little attention until several years ago, when the limited size of practical data sets in medical applications indicated the need for careful study of this issue. Recent progress in the statistical analysis of ROC data includes the work of Metz and Kronman (14,15), who developed a bivariate test for the statistical significance of differences between ROC curves measured from independent data sets; the work of Hanley and McNeil, who studied the statistical properties of the area under an ROC curve and developed techniques to predict the number of cases required tc demonstrate the significance of differences between ROC “Area Indexes” measured from either independent (16) or correlated (17) data sets; and the work of Swets and Pickett (7), who identified three components of variation in ROC measures and outlined a general statistical protocol for testing the significance of differences in the Area Index.

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.

References

  1. Goodenough, D.J., Rossmann, K., and Lusted, L.B.: Radiographic applications of receiver operating characteristic (ROC) curves. Radiology 110: 89, 1974.

    PubMed  CAS  Google Scholar 

  2. Metz, C.E., Starr, S.J., Lusted, L.B., and Rossmann, K.: Progress in evaluation of human observer visual detection performance using the ROC curve approach. In: Information Processing in Scintigraphy (C. Raynaud and A. E. Todd-Pokropek, eds.). Orsay, France: Commissariat a l’Energie Atomique, Departement de Biologie, Service Hospitalier Frederic Joliot, 1975.

    Google Scholar 

  3. McNeil, B.J., Keeler, E., and Adelstein, S.J.: Primer on certain elements of medical decision making. N. Engl. J. Med. 293: 211, 1975.

    Article  PubMed  CAS  Google Scholar 

  4. Metz, C.E.: Basic principles of ROC analysis. Seminars Nucl. Med. 8: 283, 1978.

    Article  CAS  Google Scholar 

  5. Turner, D.A.: An intuitive approach to receiver operating characteristic curve analysis. J. Nucl. Med. 19: 213, 1978.

    PubMed  CAS  Google Scholar 

  6. Swets, J.A.: ROC analysis applied to the evaluation of medical imaging techniques. Invest. Radiol. 14: 109, 1979.

    Article  PubMed  CAS  Google Scholar 

  7. Swets, J.A. and Pickett, R.M.: Evaluation of Diagnostic Systems: Methods from Signal Detection Theory. New York: Academic Press, 1982.

    Google Scholar 

  8. Tanner, W.P. Jr. and Swets, J.A.: A decision-making theory of visual detection. Psych. Rev. 61: 401, 1954.

    Article  Google Scholar 

  9. Swets, J.A., Tanner W.P. Jr., and Birdsall, T.G.: Decision processes in perception. Psych. Rev. 68: 301, 1961.

    Article  CAS  Google Scholar 

  10. Swets, J.A. (ed).: Signal Detection and Recognition by Human Observers. New York: Wiley, 1964.

    Google Scholar 

  11. Swets, J.A.: The relative operating characteristic in psychology. Science 182: 990, 1973.

    Article  PubMed  CAS  Google Scholar 

  12. Green, D.M. and Swets, J.A.: Signal Detection Theory and Psychophysics. (rev. ed.), Huntington NY: Krieger, 1974.

    Google Scholar 

  13. Egan, J.P.: Signal Detection Theory and ROC Analysis. New York: Academic Press, 1975.

    Google Scholar 

  14. Metz, C.E. and Kronman, H.B.: A test for the statistical significance of differences between ROC curves. In: Information Processing in Medical Imaging (R. DiPaola and E. Kahn, eds.). Paris: INSERM (Vol. 88), 1980.

    Google Scholar 

  15. Metz, C.E. and Kronman, H.B.: Statistical significance tests for binormal ROC curves. J. Math. Psych. 22: 218, 1980.

    Article  Google Scholar 

  16. Hanley, J.A. and McNeil, B.J.: The meaning and use of the area under a receiver operating characteristic (ROC) curve. Radiology 143: 29, 1982.

    PubMed  CAS  Google Scholar 

  17. Hanley, J.A. and McNeil, B.J.: A method of comparing the areas under Receiver operating characteristic curves derived from the same cases. Radiology 148: 839, 1983.

    PubMed  CAS  Google Scholar 

  18. Metz, C.E.: Applications of ROC analysis in diagnostic image evaluation. In: The Physics of Medical Imaging: Recording System Measurements and Techniques (A. G. Haus, ed.). New York: Am. Inst. Physics, 1979.

    Google Scholar 

  19. Dorfman, D.D. and Alf, E.: Maximum-likelihood estimation of parameters of signal detection theory and determination of confidence intervals — rating method data. J. Math. Psych. 6: 487, 1969.

    Article  Google Scholar 

  20. Grey, D.R. and Morgan, B.J.T.: Some aspects of ROC curve fitting: normal and logistic models. J. Math. Psych. 9: 128, 1972.

    Article  Google Scholar 

  21. Kendall, M. and Stuart, A.: The Advanced Theory of Statistics, Vol. 2 (4th ed.). New York: MacMillan, 1979, Chapter 18.

    Google Scholar 

  22. Zelen, M. and Severo, N.C.: Probability functions. Chapter 26 in: Handbook of Mathematical Functions (M. Abramowitz and I. A. Stegun, eds.). Washington, D.C.: National Bureau of Standards, 1968.

    Google Scholar 

  23. Hanley, J.A. and McNeil, B.J.: Statistical approaches to the analysis of receiver operating characteristic (ROC) curves. Presented at the 4th Annual Meeting of the Society for Medical Decision Making, Boston, October 27, 1982. Abstracted in: Med. Decis. Making 2: 371, 1982.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1984 Martinus Nijhoff Publishers, The Hague

About this chapter

Cite this chapter

Metz, C.E., Wang, PL., Kronman, H.B. (1984). A New Approach for Testing the Significance of Differences Between ROC Curves Measured from Correlated Data. In: Deconinck, F. (eds) Information Processing in Medical Imaging. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-6045-9_25

Download citation

  • DOI: https://doi.org/10.1007/978-94-009-6045-9_25

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-009-6047-3

  • Online ISBN: 978-94-009-6045-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics