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Analyzing survival curves at a fixed point in time for paired and clustered right-censored data

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  • Su, Pei-Fang
  • Chi, Yunchan
  • Li, Chung-I
  • Shyr, Yu
  • Liao, Yi-De

Abstract

In clinical trials, information about certain time points may be of interest in making decisions about treatment effectiveness. Therefore, rather than comparing entire survival curves, researchers may wish to focus the comparison on fixed time points with potential clinical utility. For two independent samples of right-censored data, Klein et al. (2007) compared survival probabilities at a fixed time point by studying a number of tests based on transformations of the Kaplan-Meier estimators of the survival function. To compare the survival probabilities at a fixed time point for paired right-censored data or clustered right-censored data, however, their approach requires modification. In this paper, we extend the statistics to accommodate possible within-pair and within-cluster correlation. We use simulation studies to present comparative results. Finally, we illustrate the implementation of these methods using two real data sets.

Suggested Citation

  • Su, Pei-Fang & Chi, Yunchan & Li, Chung-I & Shyr, Yu & Liao, Yi-De, 2011. "Analyzing survival curves at a fixed point in time for paired and clustered right-censored data," Computational Statistics & Data Analysis, Elsevier, vol. 55(4), pages 1617-1628, April.
    • Handle: RePEc:eee:csdana:v:55:y:2011:i:4:p:1617-1628
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    References listed on IDEAS

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    1. Susan Murray, 2001. "Using Weighted Kaplan-Meier Statistics in Nonparametric Comparisons of Paired Censored Survival Outcomes," Biometrics, The International Biometric Society, vol. 57(2), pages 361-368, June.
    2. John P. Klein & Per Kragh Andersen, 2005. "Regression Modeling of Competing Risks Data Based on Pseudovalues of the Cumulative Incidence Function," Biometrics, The International Biometric Society, vol. 61(1), pages 223-229, March.
    3. Brent R. Logan & John P. Klein & Mei‐Jie Zhang, 2008. "Comparing Treatments in the Presence of Crossing Survival Curves: An Application to Bone Marrow Transplantation," Biometrics, The International Biometric Society, vol. 64(3), pages 733-740, September.
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    6. Per Kragh Andersen, 2003. "Generalised linear models for correlated pseudo-observations, with applications to multi-state models," Biometrika, Biometrika Trust, vol. 90(1), pages 15-27, March.
    7. Michael J. Dallas & P. V. Rao, 2000. "Testing Equality of Survival Functions Based on Both Paired and Unpaired Censored Data," Biometrics, The International Biometric Society, vol. 56(1), pages 154-159, March.
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    Cited by:

    1. Su, Pei-Fang & Li, Chung-I & Shyr, Yu, 2014. "Sample size determination for paired right-censored data based on the difference of Kaplan–Meier estimates," Computational Statistics & Data Analysis, Elsevier, vol. 74(C), pages 39-51.
    2. Joao V. Alessi & Biagio Ricciuti & Xinan Wang & Federica Pecci & Alessandro Di Federico & Giuseppe Lamberti & Arielle Elkrief & Scott J. Rodig & Emily S. Lebow & Jordan E. Eicholz & Maria Thor & Andre, 2023. "Impact of TMB/PD-L1 expression and pneumonitis on chemoradiation and durvalumab response in stage III NSCLC," Nature Communications, Nature, vol. 14(1), pages 1-12, December.

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