Skip to main content

Semi-Markov Models for Quality of Life Data with Censoring

  • Chapter
Book cover Statistical Methods for Quality of Life Studies

Abstract

We present a semi-parametric, semi-Markov, multi-state model for quality of life data measured in continuous time with right censoring. The model is based on the same principles as the Cox proportional hazards model. The states are defined by categorizing a quality of life score as measured using a standard instrument. Death is considered as a separate state in the model. Transitions between the states represent changes in quality of life (or death) and follow a competing risk framework. We describe the model and derive relevant estimators. We illustrate the methodology using data from a cancer clinical trial comparing quality of life for two treatment regimens.

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
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover 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

  • Aaronson, N.K., Cull, A.M., Kaasa, S. and Sprangers, M.A.G. (1996). The European Organisation for Research and Treatment of Cancer (EORTC) modular approach to quality of life assessment in oncology: an update. In: Spiker, B. (ed.), Quality of Life and Pharmacoeconomics in Clinical Trials, 2nd Edition. New York: Raven Press, pp. 179–189.

    Google Scholar 

  • Andersen, P.K., Borgan, O., Gill, R.D. and Keiding, N. (1992). Statistical Models Based on Counting Processes, New York: Springer-Verlag.

    Google Scholar 

  • Cocozza-Thivent, C. (1997). Processus stochastiques et fiabilité des systèmes. Berlin: Springer-Verlag.

    Google Scholar 

  • Cole, B.F, Gelber, R.D. and Goldhirsch, A. (1993). Cox regression models for quality adjusted survival analysis. Statistics in Medicine 12, 975–987.

    Article  PubMed  CAS  Google Scholar 

  • Cole, B.F., Gelber, R.D. and Anderson, K.M. (1994). Parametric approaches to quality-adjusted survival analysis. Biometrics 50, 621–631.

    Article  PubMed  CAS  Google Scholar 

  • Cox, D.R. (1972). Regression models and life-tables. Journal of the Royal Statistical Society, Series B 34, 269–276.

    Google Scholar 

  • Dabrowska, D., Horowitz, G. and Sun, M. (1994). Cox regression in a Markov renewal model: an application to the analysis of bone marrow transplant data. Journal of American Statistical Association 89, 867–877.

    Article  Google Scholar 

  • Keiding, N., Klein, J.P. and Horowitz, M.M. (2000). Multistate models and outcome prediction in bone marrow transplantation. Research Report 00/1, Department of Biostatistics, University of Copenhagen.

    Google Scholar 

  • Kalbfleisch, J.D. and Prentice, R.L. (1980). The Statistical Analysis of Failure Time Data, New York: Wiley.

    Google Scholar 

  • Pyke, R. (1961). Markov renewal processes: definitions and preliminary properties. Annals of Mathematical Statistics 32, 1231–1342.

    Article  Google Scholar 

  • Tsiatis, A. (1975). A nonidentifiability aspect of the problem of competing risks. Proceedings of the National Acadamy of Sciences 72, 20–22.

    Article  CAS  Google Scholar 

  • Voelkel, J. and Crowley, J. (1984). Nonparametric inference for a class of semimarkov processes with censored observations. The Annals of Statistics 12, 142–160.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2002 Springer Science+Business Media Dordrecht

About this chapter

Cite this chapter

Heutte, N., Huber-Carol, C. (2002). Semi-Markov Models for Quality of Life Data with Censoring. In: Mesbah, M., Cole, B.F., Lee, ML.T. (eds) Statistical Methods for Quality of Life Studies. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-3625-0_16

Download citation

  • DOI: https://doi.org/10.1007/978-1-4757-3625-0_16

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4419-5207-3

  • Online ISBN: 978-1-4757-3625-0

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics