Skip to main content

2013 | OriginalPaper | Buchkapitel

7. Analysis of Multivariate Panel Count Data

verfasst von : Jianguo Sun, Xingqiu Zhao

Erschienen in: Statistical Analysis of Panel Count Data

Verlag: Springer New York

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

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.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Literatur
Zurück zum Zitat 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.MathSciNetCrossRef 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.MathSciNetCrossRef
Zurück zum Zitat Cook, R. J. and Lawless, J. F. (2007). The statistical analysis of recurrent events. Springer-Verlag, New York.MATH Cook, R. J. and Lawless, J. F. (2007). The statistical analysis of recurrent events. Springer-Verlag, New York.MATH
Zurück zum Zitat 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. 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.
Zurück zum Zitat He, X., Tong, X., Sun, J. and Cook, R. J. (2008). Regression analysis of multivariate panel count data. Biostatistics, 9, 234–248.CrossRefMATH He, X., Tong, X., Sun, J. and Cook, R. J. (2008). Regression analysis of multivariate panel count data. Biostatistics, 9, 234–248.CrossRefMATH
Zurück zum Zitat Hougaard, P. (2000). Analysis of multivariate survival data. Statistics for Biology and Health. Springer-Verlag, New York.CrossRefMATH Hougaard, P. (2000). Analysis of multivariate survival data. Statistics for Biology and Health. Springer-Verlag, New York.CrossRefMATH
Zurück zum Zitat 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.MathSciNetCrossRefMATH 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.MathSciNetCrossRefMATH
Zurück zum Zitat 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.MathSciNetCrossRefMATH 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.MathSciNetCrossRefMATH
Zurück zum Zitat Kalbfleisch, J. D. and Prentice, R. L. (2002). The statistical analysis of failure time data. Second edition, John Wiley: New York.CrossRefMATH Kalbfleisch, J. D. and Prentice, R. L. (2002). The statistical analysis of failure time data. Second edition, John Wiley: New York.CrossRefMATH
Zurück zum Zitat Lee, L-Y. (2008). Nonparametric and semiparametric models for multivariate panel count data. Ph.D. Dissertation, University of Wisconsin-Madison. Lee, L-Y. (2008). Nonparametric and semiparametric models for multivariate panel count data. Ph.D. Dissertation, University of Wisconsin-Madison.
Zurück zum Zitat 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.MathSciNetMATH 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.MathSciNetMATH
Zurück zum Zitat 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.MathSciNetCrossRefMATH 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.MathSciNetCrossRefMATH
Zurück zum Zitat 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.MathSciNetCrossRefMATH 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.MathSciNetCrossRefMATH
Zurück zum Zitat 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 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
Zurück zum Zitat 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.MathSciNetCrossRef 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.MathSciNetCrossRef
Zurück zum Zitat Ye, Y., Kalbfleisch, J. D. and Schaubel, D. E. (2007). Semiparametric analysis of correlated recurrent and terminal events. Biometrics, 63, 78–87.MathSciNetCrossRefMATH Ye, Y., Kalbfleisch, J. D. and Schaubel, D. E. (2007). Semiparametric analysis of correlated recurrent and terminal events. Biometrics, 63, 78–87.MathSciNetCrossRefMATH
Zurück zum Zitat 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.MathSciNetCrossRef 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.MathSciNetCrossRef
Zurück zum Zitat 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.MathSciNetCrossRefMATH 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.MathSciNetCrossRefMATH
Zurück zum Zitat Zhao, H., Virkler, K. and Sun, J. (2013c). Nonparametric comparison for multivariate panel count data. Communications in Statistics - Theory and Methods, to appear. Zhao, H., Virkler, K. and Sun, J. (2013c). Nonparametric comparison for multivariate panel count data. Communications in Statistics - Theory and Methods, to appear.
Metadaten
Titel
Analysis of Multivariate Panel Count Data
verfasst von
Jianguo Sun
Xingqiu Zhao
Copyright-Jahr
2013
Verlag
Springer New York
DOI
https://doi.org/10.1007/978-1-4614-8715-9_7