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Further development of flexible parametric models for survival analysis

Author

Listed:
  • Paul C. Lambert

    (University of Leicester, UK)

  • Patrick Royston

    (MRC Clinical Trials Unit)

Abstract

Royston and Parmar (2002, Statistics in Medicine 21: 2175 – 2197) developed a class of flexible parametric survival models that were programmed in Stata with the stpm command (Royston, 2001, Stata Journal 1:1-28). In this article, we introduce a new command, stpm2, that extends the methodology. New features for stpm2 include improvement in the way time-dependent covariates are modeled, with these effects far less likely to be over parameterized; the ability to incorporate expected mortality and thus fit relative survival models; and a superior predict command that enables simple quantification of differences between any two covariate patterns through calculation of time-dependent hazard ratios, hazard differences, and survival differences. The ideas are illustrated through a study of breast cancer survival and incidence of hip fracture in prostate cancer patients. Copyright 2009 by StataCorp LP.

Suggested Citation

  • Paul C. Lambert & Patrick Royston, 2009. "Further development of flexible parametric models for survival analysis," Stata Journal, StataCorp LP, vol. 9(2), pages 265-290, June.
    • Handle: RePEc:tsj:stataj:v:9:y:2009:i:2:p:265-290
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    References listed on IDEAS

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    1. Patrick Royston, 2001. "Flexible alternatives to the Cox model, and more," Stata Journal, StataCorp LP, vol. 1(1), pages 1-28, November.
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    Cited by:

    1. Joshua S Davis & Vincent He & Nicholas M Anstey & John R Condon, 2014. "Long Term Outcomes Following Hospital Admission for Sepsis Using Relative Survival Analysis: A Prospective Cohort Study of 1,092 Patients with 5 Year Follow Up," PLOS ONE, Public Library of Science, vol. 9(12), pages 1-14, December.
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    3. Aka, Joël, 2017. "Market approval of phytosanitary active substances in Europe: An empirical duration analysis," Food Policy, Elsevier, vol. 68(C), pages 143-153.
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    6. Michael J. Crowther & Keith R. Abrams & Paul C. Lambert, 2011. "Flexible joint modeling of longitudinal and time-to-event data," United Kingdom Stata Users' Group Meetings 2011 07, Stata Users Group.
    7. Herrera Dappe,Matias & Melecky,Martin & Turkgulu,Burak, 2022. "Fiscal Risks from Early Termination of Public-Private Partnerships in Infrastructure," Policy Research Working Paper Series 9972, The World Bank.
    8. Amin Moniri-Morad & Mohammad Pourgol-Mohammad & Hamid Aghababaei & Javad Sattarvand, 2019. "Reliability-based covariate analysis for complex systems in heterogeneous environment: Case study of mining equipment," Journal of Risk and Reliability, , vol. 233(4), pages 593-604, August.
    9. Enzo Coviello, 2009. "Covariate-adjusted cumulative incidence in the presence of competing risks," Italian Stata Users' Group Meetings 2009 02, Stata Users Group.
    10. Erin E. Gabriel & Michael C. Sachs & Dean A. Follmann & Therese M‐L. Andersson, 2020. "A unified evaluation of differential vaccine efficacy," Biometrics, The International Biometric Society, vol. 76(4), pages 1053-1063, December.
    11. Patrick Royston, 2012. "Tools to simulate realistic censored survival-time distributions," Stata Journal, StataCorp LP, vol. 12(4), pages 639-654, December.
    12. Therese M.-L. Andersson & Paul C. Lambert, 2012. "Fitting and modeling cure in population-based cancer studies within the framework of flexible parametric survival models," Stata Journal, StataCorp LP, vol. 12(4), pages 623-638, December.
    13. Michael J. Crowther & Keith R. Abrams & Paul C. Lambert, 2013. "Joint modeling of longitudinal and survival data," Stata Journal, StataCorp LP, vol. 13(1), pages 165-184, March.
    14. H. Joseph Newton & Nicholas J. Cox, 2016. "The Stata Journal Editors' Prize 2016: Patrick Royston," Stata Journal, StataCorp LP, vol. 16(4), pages 815-825, December.
    15. Sally R. Hinchliffe & Paul C. Lambert, 2013. "Extending the flexible parametric survival model for competing risks," Stata Journal, StataCorp LP, vol. 13(2), pages 344-355, June.
    16. Masters, Ryan K. & Link, Bruce G. & Phelan, Jo C., 2015. "Trends in education gradients of ‘preventable’ mortality: A test of fundamental cause theory," Social Science & Medicine, Elsevier, vol. 127(C), pages 19-28.
    17. Adeniyi Francis Fagbamigbe & Emma Norrman & Christina Bergh & Ulla-Britt Wennerholm & Max Petzold, 2021. "Comparison of the performances of survival analysis regression models for analysis of conception modes and risk of type-1 diabetes among 1985–2015 Swedish birth cohort," PLOS ONE, Public Library of Science, vol. 16(6), pages 1-23, June.
    18. Noori Akhtar-Danesh, 2015. "A Comparison of Modeling Scales in Flexible Parametric Models," 2015 Stata Conference 15, Stata Users Group.
    19. Herrera Dappe,Matias & Melecky,Martin & Turkgulu,Burak, 2022. "PPP Distress and Fiscal Contingent Liabilities in South Asia," Policy Research Working Paper Series 10137, The World Bank.

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