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Asymptotic Results for Simultaneous Group Sequential Analysis of Rank-Based and Weighted Kaplan-Meier Tests with Paired Survival Data in the Presence of Censoring. Technical report

Author

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  • Adin-Cristian Andrei

    (University of Michigan - Biostatistics)

  • Susan Murray

    (University of Michigan Biostatistics)

Abstract

This research sequentially monitors paired survival differences using a new class of non-parametric tests based on functionals of standardized paired weighted log-rank (PWLR) and standardized paired weighted Kaplan-Meier (PWKM) tests. During a trial these tests may alternately assume the role of the more extreme statistic. By monitoring PEMAX, the maximum between the absolute values of the standardized PWLR and PWKM, one combines advantages of rank-based and non rank-based paired testing paradigms. Simulations show that monitoring treatment differences using PEMAX maintains type I error and is nearly as powerful as using the more advantageous of the two tests, in proportional hazards (PH) as well as non-PH situations. Hence, PEMAX preserves power more robustly than individually monitored PWLR and PWKM, while maintaining a reasonably simple approach to design and analysis of results. An example from the Early Treatment Diabetic Retinopathy Study (ETDRS) is given.

Suggested Citation

  • Adin-Cristian Andrei & Susan Murray, 2004. "Asymptotic Results for Simultaneous Group Sequential Analysis of Rank-Based and Weighted Kaplan-Meier Tests with Paired Survival Data in the Presence of Censoring. Technical report," The University of Michigan Department of Biostatistics Working Paper Series 1042, Berkeley Electronic Press.
    • Handle: RePEc:bep:mchbio:1042
    Note: oai:bepress.com:umichbiostat-1042
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    References listed on IDEAS

    as
    1. Susan Murray & Anastasios A. Tsiatis, 1999. "Sequential Methods for Comparing Years of Life Saved in the Two-Sample Censored Data Problem," Biometrics, The International Biometric Society, vol. 55(4), pages 1085-1092, December.
    2. 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.
    3. R.D. Gill, 1980. "Censoring and Stochastic Integrals," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 34(2), pages 124-124, June.
    4. Susan Murray, 2000. "Nonparametric Rank-Based Methods for Group Sequential Monitoring of Paired Censored Survival Data," Biometrics, The International Biometric Society, vol. 56(4), pages 984-990, December.
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    1. Adin-Cristian Andrei & Susan Murray, 2005. "Simultaneous Group Sequential Analysis of Rank-Based and Weighted Kaplan–Meier Tests for Paired Censored Survival Data," Biometrics, The International Biometric Society, vol. 61(3), pages 715-720, September.

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