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Weighted Log-Rank Statistics for Accelerated Failure Time Model

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  • Seung-Hwan Lee

    (Department of Mathematics, Illinois Weseyan University, Bloomington, IL 617071, USA)

Abstract

This paper improves the sensitivity of the G ρ family of weighted log-rank tests for the accelerated failure time model, accommodating realistic alternatives in survival analysis with censored data, such as heavy censoring and crossing hazards. The procedures are based on a weight function with the censoring proportion incorporated as a component. Extensive simulations show that the weight function enhances the performance of the G ρ family, increasing its sensitivity and flexibility. The weight function method is illustrated with an example concerning vaginal cancer.

Suggested Citation

  • Seung-Hwan Lee, 2021. "Weighted Log-Rank Statistics for Accelerated Failure Time Model," Stats, MDPI, vol. 4(2), pages 1-11, May.
    • Handle: RePEc:gam:jstats:v:4:y:2021:i:2:p:23-358:d:548327
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    References listed on IDEAS

    as
    1. Lang Wu & Peter B. Gilbert, 2002. "Flexible Weighted Log-Rank Tests Optimal for Detecting Early and/or Late Survival Differences," Biometrics, The International Biometric Society, vol. 58(4), pages 997-1004, December.
    2. Yu Shen & Jianwen Cai, 2001. "Maximum of the Weighted Kaplan-Meier Tests with Application to Cancer Prevention and Screening Trials," Biometrics, The International Biometric Society, vol. 57(3), pages 837-843, September.
    3. Song Yang & Ross Prentice, 2005. "Semiparametric analysis of short-term and long-term hazard ratios with two-sample survival data," Biometrika, Biometrika Trust, vol. 92(1), pages 1-17, March.
    4. R.D. Gill, 1980. "Censoring and Stochastic Integrals," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 34(2), pages 124-124, June.
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