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A Model-Independent Method to Determine Restricted Mean Survival Time in the Analysis of Survival Curves

  • Medicine
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Abstract

The restricted mean survival time (RMST) is a relatively new parameter proposed to improve the analysis of survival curves. As opposed to the median, the RMST has the advantage of capturing the overall shape of the survival curve, including the so-called “right tail.” One limitation of RMST lies in the mathematical complexity of its calculation (model-dependent analysis). In the present report, we describe a model-independent method that simplifies the calculation of RMST. The estimation approach (trapezoidal rule) is the same as that commonly employed in pharmacokinetics. In the analysis of 6 survival curves, the performance of the model-independent method was virtually the same as that of model-dependent methods.

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References

  1. Trinquart L, Jacot J, Conner SC, Porcher R. Comparison of treatment effects measured by the hazard ratio and by the ratio of restricted mean survival times in oncology randomized controlled trials. J Clin Oncol. 2016;34(15):1813–9. https://doi.org/10.1200/JCO.2015.64.2488.

    Article  PubMed  Google Scholar 

  2. Royston P, Parmar MK. The use of restricted mean survival time to estimate the treatment effect in randomized clinical trials when the proportional hazards assumption is in doubt. Stat Med. 2011;30(19):2409–21. https://doi.org/10.1002/sim.4274.

    Article  PubMed  Google Scholar 

  3. Pharmacokinetics, 2nd Edition by Milo Gibaldi and Donald Perrier. Marcel Dekker, New York, 1982.

  4. Matucci M, Messori A, Donati-Cori G, Longo G, Vannini S, Morfini M, et al. Kinetic evaluation of four factor VIII concentrates by model-independent methods. Scand J Haematol. 1985;34:22–8.

    Article  CAS  Google Scholar 

  5. Damuzzo V, Agnoletto L, Leonardi L, Chiumente M, Mengato D, Messori A. Analysis of survival curves: statistical methods accounting for the presence of long-term survivors. Front Oncol 2019;9:453–9. https://doi.org/10.3389/fonc.2019.00453.

  6. Royston P, Parmar MK, Altman DG. Visualizing length of survival in time-to-event studies: a complement to Kaplan-Meier plots. J Natl Cancer Inst. 2008;100(2):92–7. https://doi.org/10.1093/jnci/djm265.

    Article  PubMed  Google Scholar 

  7. Royston P, Parmar MK. An approach to trial design and analysis in the era of non-proportional hazards of the treatment effect. Trials. 2014;15:314. https://doi.org/10.1186/1745-6215-15-314.

    Article  PubMed  PubMed Central  Google Scholar 

  8. Mok TS, Wu YL, Thongprasert S, Yang CH, Chu DT, Saijo N, et al. Gefitinib or carboplatin-paclitaxel in pulmonary adenocarcinoma. N Engl J Med. 2009;361(10):947–57. https://doi.org/10.1056/NEJMoa0810699.

    Article  CAS  PubMed  Google Scholar 

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Correspondence to Andrea Messori.

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Messori, A., Damuzzo, V., Agnoletto, L. et al. A Model-Independent Method to Determine Restricted Mean Survival Time in the Analysis of Survival Curves. SN Compr. Clin. Med. 2, 66–68 (2020). https://doi.org/10.1007/s42399-019-00199-7

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