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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Andersen PK, Gill RD (1982) Cox’s regression model for counting processes: a large sample study. Ann Stat 10(4):1100–1120
Akaike H (1974) A new look at the statistical model identification. IEEE Trans Autom Control 19(6):716–723
Brown ER, Ibrahim JG, Degruttola V (2005) A flexible \(B\)-spline model for multiple longitudinal biomarkers and survival. Biometrics 61(1):64–73
Chi YY, Ibrahim JG (2006) Joint models for multivariate longitudinal and multivariate survival data. Biometrics 62:432–445
Cox D (1972) Regression models and life-tables (with discussion). J R Stat Soc Ser B 34(2):187–220
Crowther MJ, Abrams KR, Lambert PC (2013) Joint modeling of longitudinal and survival data. Stata J 13:165–184
de Boor C (1978) A practical guide to splines. Series applied mathematical sciences, vol 27. Springer, New York
Ding J, Wang JL (2008) Modeling longitudinal data with nonparametric multiplicative random effects jointly with survival data. Biometrics 64(2):546–556
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
Guo X, Carlin BP (2004) Separate and joint modeling of longitudinal and event time data using standard computer packages. Am Stat 58:16–24
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
Henderson R, Diggle PJ, Dobson A (2000) A joint modelling of longitudinal measurements and event time data. Biostatistics 1:465–480
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
Kalbfleisch JD, Prentice RL (2002) The Statistical analysis of failure time data, 2nd edn. Wiley, Hoboken
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
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
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
Rizopoulos D (2012) Joint models for longitudinal and time-to-event data, with applications in R. Chapman and Hall/CRC, Boca Raton
Rizopoulos D (2014) The R package JMbayes for fitting joint models for longitudinal and time-to-event data using MCMC. arXiv:1404
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
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
Tang N, Tang A, Pan D (2014) Semiparametric bayesian joint models of multivariate longitudinal and survival data. Comput Stat Data Anal 77:113–129
Tsiatis AA, Davidian M (2004) Joint modeling of longitudinal and time-to-event data: an overview. Stat Sin 14:809–834
Wulfsohn MS, Tsiatis AA (1997) A joint model for survival and longitudinal data measured with error. Biometrics 53:330–339
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
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
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2018 Springer International Publishing AG
About this chapter
Cite this chapter
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
Download citation
DOI: https://doi.org/10.1007/978-3-319-73848-2_21
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-73847-5
Online ISBN: 978-3-319-73848-2
eBook Packages: EngineeringEngineering (R0)