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Using Frailties in the Accelerated Failure Time Model

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Abstract

The accelerated failuretime (AFT) model is an important alternative to the Cox proportionalhazards model (PHM) in survival analysis. For multivariate failuretime data we propose to use frailties to explicitly account forpossible correlations (and heterogeneity) among failure times.An EM-like algorithm analogous to that in the frailty model forthe Cox model is adapted. Through simulation it is shown thatits performance compares favorably with that of the marginalindependence approach. For illustration we reanalyze a real dataset.

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References

  • D. G. Clayton, “The analysis of event history data: a review of progress and outstanding problems,” Statistics in Medicine vol. 7 pp. 819–841, 1988.

    Google Scholar 

  • D. G. Clayton and J. Cuzick, “Multivariate generalizations of the proportional hazards model (with discussion),” Journal of the Royal Statistical Society A vol. 48 pp. 82–117, 1985.

    Google Scholar 

  • D. R. Cox, “Regression models and life-tables (with discussion),” Journal of the Royal Statistical Society B vol. 34 pp. 187–220, 1972.

    Google Scholar 

  • D. R. Cox, “Some remarks on the analysis of survival data,” in Proceedings of the First Seattle Symposium in Biostatistics: Survival Analysis, Springer: New York, 1997.

    Google Scholar 

  • B. Efron and R. J. Tibshirani, An Introduction to the Bootstrap, Chapman & Hall: London, 1993.

    Google Scholar 

  • J. P. Klein, “Semiparametric estimation of random effects using the Cox model based on the EM algorithm,” Biometrics vol. 48 pp. 795–806, 1992.

    Google Scholar 

  • E. W. Lee, L. J. Wei, and Z. Ying, “Linear regression analysis for highly stratified failure time data,” Journal of the American Statistical Association vol. 88 pp. 557–565, 1993.

    Google Scholar 

  • S. R. Lipsitz and M. Parzen, “A jackknife estimator of variance for Cox regression for correlated survival data,” Biometrics vol. 52 pp. 291–298, 1996.

    Google Scholar 

  • D. Y. Lin and C. J. Geyer, “Computational methods for semi-parametric linear regression with censored data,” Journal of Computational and Graphical Statistics vol. 1 pp. 77–90, 1992.

    Google Scholar 

  • C. A. McGilchrist and C.W. Aisbett, “Regression with frailty in survival analysis,” Biometrics vol. 47 pp. 461–466, 1991.

    Google Scholar 

  • G. G. Nielsen, R. D. Gill, P. K. Andersen, and T. I. A. Sorensen, “A counting process approach to maximum likelihood estimation in frailty models,” Scand. J. Statist. vol. 19 pp. 25–43, 1992.

    Google Scholar 

  • W. Pan and J. E. Connett, “A multiple imputation approach to linear regression with clustered censored data,” to appear in Lifetime Data Analysis, 2000.

  • W. Pan and T. A. Louis, “A linear mixed-effects model for multivariate censored data,” Biometrics vol. 56 pp. 160–166, 2000.

    Google Scholar 

  • A. A. Tsiatis, “Estimating regression parameters using linear rank tests for censored data,” Annals of Statistics vol. 18 pp. 354–372, 1990.

    Google Scholar 

  • L. J. Wei, “The accelerated failure time model: A useful alternative to the Cox regression model in survival analysis (with discussion),” Statistics in Medicine vol. 11 pp. 1871–1879, 1992.

    Google Scholar 

  • C. F. J. Wu, “On the convergence properties of the EM algorithm,” Ann. Statist. vol. 11 pp. 95–103, 1983.

    Google Scholar 

  • X. Xue and R. Brookmeyer, “Bivariate frailty model for the analysis of multivariate survival time,” Lifetime Data Analysis vol. 2 pp. 277–289, 1996.

    Google Scholar 

Download references

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Pan, W. Using Frailties in the Accelerated Failure Time Model. Lifetime Data Anal 7, 55–64 (2001). https://doi.org/10.1023/A:1009625210191

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  • DOI: https://doi.org/10.1023/A:1009625210191

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