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Recent Developments and Advances in Joint Modelling of Longitudinal and Survival Data

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The Mathematics of the Uncertain

Part of the book series: Studies in Systems, Decision and Control ((SSDC,volume 142))

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Abstract

In many biomedical studies, patient are followed-up repeatedly during the research study and different types of outcomes are collected such as longitudinal biomarkers and a time-to-event information. Commonly, it is of interest to study the association between the longitudinal biomarkers and the time-to-event. This chapter gives an overview of joint models for a single longitudinal and survival data with its extensions to multivariate longitudinal and time-to-event models.

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References

  1. Andersen PK, Gill RD (1982) Cox’s regression model for counting processes: a large sample study. Ann Stat 10(4):1100–1120

    Article  MathSciNet  MATH  Google Scholar 

  2. Akaike H (1974) A new look at the statistical model identification. IEEE Trans Autom Control 19(6):716–723

    Article  MathSciNet  MATH  Google Scholar 

  3. Brown ER, Ibrahim JG, Degruttola V (2005) A flexible \(B\)-spline model for multiple longitudinal biomarkers and survival. Biometrics 61(1):64–73

    Article  MathSciNet  MATH  Google Scholar 

  4. Chi YY, Ibrahim JG (2006) Joint models for multivariate longitudinal and multivariate survival data. Biometrics 62:432–445

    Google Scholar 

  5. Cox D (1972) Regression models and life-tables (with discussion). J R Stat Soc Ser B 34(2):187–220

    MATH  Google Scholar 

  6. Crowther MJ, Abrams KR, Lambert PC (2013) Joint modeling of longitudinal and survival data. Stata J 13:165–184

    Google Scholar 

  7. de Boor C (1978) A practical guide to splines. Series applied mathematical sciences, vol 27. Springer, New York

    Google Scholar 

  8. Ding J, Wang JL (2008) Modeling longitudinal data with nonparametric multiplicative random effects jointly with survival data. Biometrics 64(2):546–556

    Article  MathSciNet  MATH  Google Scholar 

  9. Elashoff R, Li G, Li N (2008) A joint model for longitudinal measurements and survival data in the presence of multiple failure types. Biometrics 64(3):762–771

    Article  MathSciNet  MATH  Google Scholar 

  10. Guo X, Carlin BP (2004) Separate and joint modeling of longitudinal and event time data using standard computer packages. Am Stat 58:16–24

    Article  MathSciNet  Google Scholar 

  11. Hickey GL, Philipson P, Jorgensen A, Kolamunnage-Dona R (2016) Joint modelling of time-to-event and multivariate longitudinal outcomes: Recent developments and issues. BMC Med Res Method 16(1):1–15

    Article  Google Scholar 

  12. Henderson R, Diggle PJ, Dobson A (2000) A joint modelling of longitudinal measurements and event time data. Biostatistics 1:465–480

    Article  MATH  Google Scholar 

  13. Ibrahim JG, Chen M-H, Sinha D (2004) Bayesian methods for joint modeling of longitudinal and survival data with applications to cancer vaccine trials. Stat Sin 14:863–883

    MathSciNet  MATH  Google Scholar 

  14. Kalbfleisch JD, Prentice RL (2002) The Statistical analysis of failure time data, 2nd edn. Wiley, Hoboken

    Book  MATH  Google Scholar 

  15. Liu F, Li Q (2016) A Bayesian model for joint analysis of multivariate repeated measures and time to event data in crossover trials. Stat Methods Med Res 25(5):2180–2192

    Article  MathSciNet  Google Scholar 

  16. Philipson P, Sousa I, Diggle PJ, Williamson PR, Kolamunnage-Dona R, Henderson R (2012) Package joineR: joint modelling of repeated measurements and time-to-event data. R Foundation for Statistical Computing, Austria. https://CRAN.R-project.org/package=joineR

  17. Proust-Lima C, Joly P, Dartigues J-F, Jacqmin-Gadda H (2009) Joint modelling of multivariate longitudinal outcomes and a time-to-event: a nonlinear latent class approach. Comput Stat Data Anal 53:1142–1154

    Article  MathSciNet  MATH  Google Scholar 

  18. Rizopoulos D (2012) Joint models for longitudinal and time-to-event data, with applications in R. Chapman and Hall/CRC, Boca Raton

    Book  MATH  Google Scholar 

  19. Rizopoulos D (2014) The R package JMbayes for fitting joint models for longitudinal and time-to-event data using MCMC. arXiv:1404

  20. Rizopoulos D, Ghosh P (2011) A bayesian semiparametric multivariate joint model for multiple longitudinal outcomes and a time-to-event. Stat Med 30:1366–1380

    Google Scholar 

  21. Self S, Pawitan Y (1992) Modeling a marker of disease progression and onset of disease. In: Jewell N, Dietz K, Farewell V (eds) AIDS epidemiology: methodological issues. Birkhäuser, Boston

    Google Scholar 

  22. Tang N, Tang A, Pan D (2014) Semiparametric bayesian joint models of multivariate longitudinal and survival data. Comput Stat Data Anal 77:113–129

    Google Scholar 

  23. Tsiatis AA, Davidian M (2004) Joint modeling of longitudinal and time-to-event data: an overview. Stat Sin 14:809–834

    MathSciNet  MATH  Google Scholar 

  24. Wulfsohn MS, Tsiatis AA (1997) A joint model for survival and longitudinal data measured with error. Biometrics 53:330–339

    Article  MathSciNet  MATH  Google Scholar 

  25. Yu M, Taylor J, Sandler H (2008) Individualized prediction in prostate cancer studies using a joint longitudinal-survival-cure model. J Am Stat Assoc 103:178–187

    Article  MATH  Google Scholar 

  26. Zhang D, Chen M-H, Ibrahim JG, Boye ME, Shen W (2009) JMFit: a SAS macro for joint models of longitudinal and survival data. J Stat Softw 30:1–3

    Google Scholar 

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Correspondence to Ipek Guler .

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Guler, I., Faes, C., Gude, F., Cadarso-Suárez, C. (2018). Recent Developments and Advances in Joint Modelling of Longitudinal and Survival Data. In: Gil, E., Gil, E., Gil, J., Gil, M. (eds) The Mathematics of the Uncertain. Studies in Systems, Decision and Control, vol 142. Springer, Cham. https://doi.org/10.1007/978-3-319-73848-2_21

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  • DOI: https://doi.org/10.1007/978-3-319-73848-2_21

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-73847-5

  • Online ISBN: 978-3-319-73848-2

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