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Goodness-of-Fit Tests for the Additive Risk Model with (p > 2)-Dimensional Time-Invariant Covariates

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Abstract

This paper presents methods for checking the goodness-of-fit of the additive risk model with p(> 2)-dimensional time-invariant covariates. The procedures are an extension of Kim and Lee (1996) who developed a test to assess the additive risk assumption for two-sample censored data. We apply the proposed tests to survival data from South Wales nikel refinery workers. Simulation studies are carried out to investigate the performance of the proposed tests for practical sample sizes.

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References

  • P. K. Andersen and R. D. Gill, “Cox's regression model for counting processes: a large sample study,” The Annals of Statisticsvol. 10 pp. 1100-1120, 1982.

    Google Scholar 

  • P. Billingsley, Convergence of Probability Measures, Wiley: New York, 1968.

    Google Scholar 

  • N. E. Breslow and N. E. Day, Statistical Methods in Cancer Research, 2, The Design and Analysis of Cohort Studies, IARC: Lyon, 1987.

    Google Scholar 

  • J. H. Kim and S. Y. Lee, “A goodness-of-fit test based on martingale residuals for the additive risk model,” The Korean Journal of Applied Statisticsvol. 9 pp. 75-89, 1996.

    Google Scholar 

  • D. Y. Lin, L. J. Wei, and Z. Ying, “Checking the Cox model with cumulative sums of martingale-based residuals,” Biometrikavol. 80 pp. 557-572, 1993.

    Google Scholar 

  • D. Y. Lin and Z. Ying, “Semiparametric analysis of the additive risk model,” Biometrikavol. 81 pp. 61-71, 1994.

    Google Scholar 

  • L. J. Wei, “Testing goodness-of-fit for proportional hazards model with censored observations,” Journal of the American Statistical Associationvol. 79 pp. 649-652, 1984.

    Google Scholar 

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Kim, J., Song, M.S. & Lee, S. Goodness-of-Fit Tests for the Additive Risk Model with (p > 2)-Dimensional Time-Invariant Covariates. Lifetime Data Anal 4, 405–416 (1998). https://doi.org/10.1023/A:1009638204063

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  • DOI: https://doi.org/10.1023/A:1009638204063

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