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Articles

Regression analysis of the illness-death model with a shared frailty when all transition times are interval censored

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Pages 247-259 | Received 20 Feb 2020, Accepted 14 Nov 2020, Published online: 01 Dec 2020

References

  • Andersen, P. K., Ø. Borgan, R. D. Gill, and N. Keiding. 1993. Statistical models based on counting processes. New York, NY: Springer.
  • Andersen, P. K., R. B. Geskus, T. de Witte, and H. Putter. 2012. Competing risks in epidemiology: Possibilities and pitfalls. International Journal of Epidemiology 41 (3):861–70. doi:10.1093/ije/dyr213.
  • Barrett, J. K., F. Siannis, and V. T. Farewell. 2011. A semi-competing risks model for data with interval-censoring and informative observation: An application to the MRC cognitive function and ageing study. Statistics in Medicine 30 (1):1–10. doi:10.1002/sim.4071.
  • Collett, D. 2015. Modeling survival data in medical research. 3rd ed. London, UK: Chapman and Hall/CRC Press.
  • Cox, D. R. 1972. Models and life-tables regression. Journal of the Royal Statistical Society: Series B (Methodological) 34 (2):187–220. doi:10.1111/j.2517-6161.1972.tb00899.x.
  • Cox, D. R. 1975. Partial likelihood. Biometrika 62 (2):269–76. doi:10.1093/biomet/62.2.269.
  • Fine, J. P., H. Jiang, and R. Chappell. 2001. On semi-competing risks data. Biometrika 88 (4):907–19. doi:10.1093/biomet/88.4.907.
  • Frydman, H., T. Gerds, R. Grøn, and N. Keiding. 2013. Nonparametric estimation in an “illness-death” model when all transition times are interval censored. Biomedical Journal 55:823–43. doi:10.1002/bimj.201200139.
  • Helmer, C., P. Joly, L. Letenneur, D. Commenges, and J. F. Dartigues. 2001. Mortality with dementia: Results from a French prospective community-based cohort. American Journal of Epidemiology 154 (7):642–48. doi:10.1093/aje/154.7.642.
  • Jackson, C. H. 2011. Multi-state models for panel data: The msm package for R. Journal of Statistical Software 38 (8):1–28. doi:10.18637/jss.v038.i08.
  • Joly, P., D. Commenges, and L. Letenneur. 1998. A penalized likelihood approach for arbitrarily censored and truncated data: Application to age-specific incidence of dementia. Biometrics 54 (1):185–94. doi:10.2307/2534006.
  • Joly, P., D. Commenges, C. Helmer, and L. Letenneur. 2002. A penalized likelihood approach for an illness-death model with interval-censored data: Application to age-specific incidence of dementia. Biostatistics (Oxford, England) 3 (3):433–43. doi:10.1093/biostatistics/3.3.433.
  • Joly, P., T. A. Gerds, V. Qvist, D. Commenges, and N. Keiding. 2012. Estimating survival of dental fillings on the basis of interval-censored data and multi-state models. Statistics in Medicine 31 (11–12):1139–49. doi:10.1002/sim.4459.
  • Kim, J., and J. Kim. 2016. Regression models for interval-censored semi-competing risks data with missing intermediate transition status. The Korean Journal of Applied Statistics 29:1311–27. doi:10.5351/KJAS.2016.29.7.1311.
  • Kim, J., J. Kim, and S. W. Kim. 2019. Additive-multiplicative hazards regression models for interval-censored semi-competing risks data with missing intermediate events. BMC Medical Research Methodology 19 (1):49. doi:10.1186/s12874-019-0678-z.
  • Lee, K. H., C. Lee, D. Alvares, and S. Haneuse. 2019. Hierarchical models for parametric and semi-parametric analyses of semi-competing risks data. https://CRAN.R-project.org/package=SemiCompRisks.
  • Leffondré, K., C. Touraine, C. Helmer, and P. Joly. 2013. Interval-censored time-to-event and competing risk with death: Is the illness-death model more accurate than the Cox model? International Journal of Epidemiology 42 (4):1177–86. doi:10.1093/ije/dyt126.
  • Lindsey, J. C., and L. M. Ryan. 1998. Tutorial in biostatistics methods for interval-censored data. Statistics in Medicine 17 (2):219–38. doi:10.1002/(SICI)1097-0258(19980130)17:2<219::AID-SIM735>3.0.CO;2-O.
  • Pinheiro, J. C., and D. M. Bates. 1995. Approximations to the log-likelihood function in the nonlinear mixed-effects model. Journal of Computational and Graphical Statistics 4:12–35.
  • Putter, H., M. Fiocco, and R. B. Geskus. 2007. Tutorial in biostatistics: Competing risks and multi-state models. Statistics in Medicine 26 (11):2389–430. doi:10.1002/sim.2712.
  • Siannis, F., V. T. Farewell, and J. Head. 2007. A multi-state model for joint modelling of terminal and non-terminal events with application to Whitehall II. Statistics in Medicine 26 (2):426–42. doi:10.1002/sim.2342.
  • Sun, J. 2006. The statistical analysis of interval-censored failure time data. New York, NY: Springer Science and Business Media.
  • Touraine, C., T. A. Gerds, and P. Joly. 2017. SmoothHazard: An R package for fitting regression models to interval-censored observations of illness-death models. Journal of Statistical Software 79 (7):1–22. doi:10.18637/jss.v079.i07.
  • Tsiatis, A. A. 2005. Competing risks. Encyclopedia of Biostatistics 2:1025–35.
  • Turnbull, B. W. 1976. The empirical distribution with arbitrarily grouped censored and truncated data. Journal of the Royal Statistical Society: Series B (Methodological) 38 (3):290–95. doi:10.1111/j.2517-6161.1976.tb01597.x.
  • Xu, J., J. D. Kalbfleisch, and B. Tai. 2010. Statistical analysis of illness-death processes and semicompeting risks data. Biometrics 66 (3):716–25. doi:10.1111/j.1541-0420.2009.01340.x.

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