Skip to main content

Models for Nested Binary and Ordinal Data

  • Conference paper
Statistical Modelling

Part of the book series: Lecture Notes in Statistics ((LNS,volume 57))

  • 411 Accesses

Summary

This paper introduces a normal random effects model for multiple measurements recorded on an ordinal scale with c categories. The model is general and appropriate for a wide range of practical applications. One such application is a cross-over study for which a detailed examination is provided. Particular attention will be focussed on the special case of binary responses, enabling a comparison between the method of this paper and an alternative GLIM approach.

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

  • Clayton, D. and Cuzick, J. (1985). Multivariate generalisations of the proportional hazards model. J. R. Statist Soc A., 148, 82–117.

    Article  MathSciNet  MATH  Google Scholar 

  • Ezzet, F. and Whitehead, J. (1989). A random efffects model for binary data from cross-over clinical trials, (in preparation).

    Google Scholar 

  • Kenward, M.G. and Jones, B. (1987). A log linear model for binary cross-over data. Appl. Statist, 36, 192–204.

    Article  MathSciNet  MATH  Google Scholar 

  • McCullagh, P. (1980). Regression models for ordinal data. J. R. Statist Soc. B., 42, 109–122.

    MathSciNet  MATH  Google Scholar 

  • McCullagh, P. and Nelder, J. A. (1983). Generalised Linear Models. London: Chapman and Hall.

    Google Scholar 

  • Whitehead, J. and Ezzet, F. (1989). Random effects linear models for binary, ordinal and grouped survival data, (in preparation).

    Google Scholar 

  • Zimmermann, H. and Rahlfs, V. (1978). Testing hypotheses in the two-period change-over with binary data. Biometrical J., 20, 133–141.

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1989 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Ezzet, F., Whitehead, J. (1989). Models for Nested Binary and Ordinal Data. In: Decarli, A., Francis, B.J., Gilchrist, R., Seeber, G.U.H. (eds) Statistical Modelling. Lecture Notes in Statistics, vol 57. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-3680-1_16

Download citation

  • DOI: https://doi.org/10.1007/978-1-4612-3680-1_16

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-0-387-97097-4

  • Online ISBN: 978-1-4612-3680-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics