Skip to main content

Analysis of Multivariate Panel Count Data

  • Chapter
  • First Online:
Statistical Analysis of Panel Count Data

Part of the book series: Statistics for Biology and Health ((SBH,volume 80))

Abstract

This chapter discusses statistical analysis of multivariate panel count data, which arise when there exist several related types of recurrent events and study subjects are observed only at discrete time points. As remarked before, in this case, an issue that does not exist for univariate panel count data is the correlation between different types of events. To deal with it, two approaches are commonly used as with multivariate failure time data (Hougaard, 2000). One is the marginal model approach that leaves the correlation arbitrary, and the other is the joint model approach that characterizes the correlation through the use of some latent or random variables. In this chapter, we mainly adopt the marginal model approach and consider two problems, nonparametric comparison of treatments in terms of mean functions and regression analysis.

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 79.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 99.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
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

References

  • Cai, J. and Schaubel, D. E. (2004). Analysis of recurrent event data. Handbook of Statistics, 23, 603–623.

    Article  MathSciNet  Google Scholar 

  • Chen, B. E., Cook, R. J., Lawless, J. F. and Zhan, M. (2005). Statistical methods for multivariate interval-censored recurrent events. Statistics in Medicine, 24, 671–691.

    Article  MathSciNet  Google Scholar 

  • Cook, R. J. and Lawless, J. F. (2007). The statistical analysis of recurrent events. Springer-Verlag, New York.

    MATH  Google Scholar 

  • Gladman, D. D., Farewell, V. T. and Nadeau, C. (1995). Clinical indicators of progression in psoriatic arthritis (PsA): multivariate relative risk model. Journal of Rheumatology, 22, 675–679.

    Google Scholar 

  • He, X., Tong, X., Sun, J. and Cook, R. J. (2008). Regression analysis of multivariate panel count data. Biostatistics, 9, 234–248.

    Article  MATH  Google Scholar 

  • Hougaard, P. (2000). Analysis of multivariate survival data. Statistics for Biology and Health. Springer-Verlag, New York.

    Book  MATH  Google Scholar 

  • Huang, C. Y. and Wang, M. C. (2004). Joint modeling and estimation for recurrent event processes and failure time data. Journal of the American Statistical Association, 99, 1153–1165.

    Article  MathSciNet  MATH  Google Scholar 

  • Jin, Z., Liu, M., Albert, S. and Ying, Z. (2006). Analysis of longitudinal health-related quality of life data with terminal events. Lifetime Data Analysis, 12, 169–190.

    Article  MathSciNet  MATH  Google Scholar 

  • Kalbfleisch, J. D. and Prentice, R. L. (2002). The statistical analysis of failure time data. Second edition, John Wiley: New York.

    Book  MATH  Google Scholar 

  • Lee, L-Y. (2008). Nonparametric and semiparametric models for multivariate panel count data. Ph.D. Dissertation, University of Wisconsin-Madison.

    Google Scholar 

  • Li, N., Park, D-H., Sun, J. and Kim, K. (2011). Semiparametric transformation models for multivariate panel count data with dependent observation process. The Canadian Journal of Statistics, 39, 458–474.

    MathSciNet  MATH  Google Scholar 

  • Liu, L., Huang, X. and O’Quigley, J. (2008). Analysis of longitudinal data in the presence of informative observational times and a dependent terminal event, with application to medical cost data. Biometrics, 64, 950–958.

    Article  MathSciNet  MATH  Google Scholar 

  • Pepe, M. S. and Fleming, T. R. (1989). Weighted Kaplan-Meier statistics: a class of distance tests for censored survival data. Biometrics, 45, 497–507.

    Article  MathSciNet  MATH  Google Scholar 

  • Tsiatis, A. A. and Davidian, M. (2004). An overview of joint modeling of longitudinal and time-to-event data. Statistica Sinica, 14, 793–818.

    MathSciNet  Google Scholar 

  • Wei, L. J., Lin, D. Y. and Weissfeld, L. (1989). Regression analysis of multivariate incomplete failure time data by modeling marginal distributions. Journal of the American Statistical Association, 84, 1065–1073.

    Article  MathSciNet  Google Scholar 

  • Ye, Y., Kalbfleisch, J. D. and Schaubel, D. E. (2007). Semiparametric analysis of correlated recurrent and terminal events. Biometrics, 63, 78–87.

    Article  MathSciNet  MATH  Google Scholar 

  • Zhang, H. Zhao, H., Sun, J., Wang, D. and Kim, K. M. (2013b). Regression analysis of multivariate panel count data with an informative observation process. Journal of Multivariate Analysis, 119, 71–80.

    Article  MathSciNet  Google Scholar 

  • Zhao, H., Li, Y. and Sun, J. (2013b). Semiparametric analysis of multivariate panel count data with dependent observation process and terminal event. Journal of Nonparametric Statistics, 25, 379–394.

    Article  MathSciNet  MATH  Google Scholar 

  • Zhao, H., Virkler, K. and Sun, J. (2013c). Nonparametric comparison for multivariate panel count data. Communications in Statistics - Theory and Methods, to appear.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 2013 Springer Science+Business Media New York

About this chapter

Cite this chapter

Sun, J., Zhao, X. (2013). Analysis of Multivariate Panel Count Data. In: Statistical Analysis of Panel Count Data. Statistics for Biology and Health, vol 80. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-8715-9_7

Download citation

Publish with us

Policies and ethics