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Modifying Weighted Kaplan-Meier Test for Two-Sample Survival Comparison

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  • Seung-Hwan Lee
  • Eun-Joo Lee

Abstract

This paper presents an approach to improving the weighted Kaplan-Meier test statistics in order to make it a more useful tool for a long-term comparison of two underlying survival distributions in the presence of right-censored data. The procedures are based on the use of some weight function that involves the percentage of censored data as a component. Some versatile procedures for the alternative, not pre-specified, are also discussed. Numerical simulations are conducted to investigate the performance of the proposed procedures. For illustration, the procedures are applied to real-world data in clinical trials, where patients with tongue cancer are divided into two groups according to tumor DNA.

Suggested Citation

  • Seung-Hwan Lee & Eun-Joo Lee, 2022. "Modifying Weighted Kaplan-Meier Test for Two-Sample Survival Comparison," European Journal of Mathematics and Statistics, European Open Science, vol. 3(1), pages 51-58, January.
    • Handle: RePEc:epw:ejmath:v:3:y:2022:i:1:id:14093
    DOI: 10.24018/ejmath.2022.3.1.93
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    References listed on IDEAS

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    1. Lee, Seung-Hwan & Lee, Eun-Joo & Omolo, Bernard Oguna, 2008. "Using integrated weighted survival difference for the two-sample censored data problem," Computational Statistics & Data Analysis, Elsevier, vol. 52(9), pages 4410-4416, May.
    2. 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.
    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.
    4. 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.
    5. R.D. Gill, 1980. "Censoring and Stochastic Integrals," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 34(2), pages 124-124, June.
    6. Lee, Seung-Hwan, 2007. "On the versatility of the combination of the weighted log-rank statistics," Computational Statistics & Data Analysis, Elsevier, vol. 51(12), pages 6557-6564, August.
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