Comparison of resampling method applied to censored data

  • Abstract
  • Keywords
  • References
  • PDF
  • Abstract

    This paper is about a comparison study among the performances of variance estimators of certain parameters, usingresampling techniques such as bootstrap and jackknife. The comparison will be made among several situations ofsimulated censored data, relating the observed values of estimates to real values. For real data, it will be consideredthe dataset Stanford heart transplant, analyzed by Cho et al. (2009) using the model of Cox regression (Cox, 1972)for adjustment. It is noted that the Jackknife residual is ecient to analyze inuential data points in the responsevariable.

    Keywords: bootstrap, Jackknife, simulation, Cox Regression Model, censored data.

  • References

    1. Bender, R., Augustin, T., Bletter, M.,"Generating Survival Times to Simulate Cox Proportional Hazards Models", Sonderforschungsbereich Vol.386, (2003), pp.1-19.
    2. Chernick, M. R., "Bootstrap Methods: A Guide for Practitioners and Researchers", Wiley Series in Probability and Statistics, New York, (2007).
    3. Cho, H., Ibrahim, J. G., Sinha, D., Zhu, H., "Bayesian Case In uence Diagnostics for Survival Models", Biometrics, Vol.65, (2009), pp.116-124.
    4. Colosimo, E. A., Giolo, S. R., "Analise de sobrevivencia aplicada", Edgard Blucher, (2006).
    5. Cox, D. R., "Regression models and life-tables (with discussion)", Journal of the Royal Statistical Society, Series B: Methodological, Vol.34, (1972), pp.187-220.
    6. Cox, D. R., "Partial Likehood", Biometrika, Vol.62, (1975), pp.269-276.
    7. Efron, B., "Bootstrap Methods: Another Look at the Jackknife", The Annals of Statistics, (1979), Vol.7
    8. Efron, B., "The Jackknife, the Bootstrap and Other Resampling Plans", Department of Statistics, Stanford University,(1994).
    9. Efron, B., Tibshirani, R.J., "An Introduction to the Bootstrap", Monographs ond Statistics and Applied Probability, Vol.57 (1993).
    10. Martinez, E. Z., Louzada-Neto, F., "Bootstrap confidence interval estimation", Rev. Mat. Estat.,(Sa Paulo), Vol.19, (2001), pp.217-251.
    11. Miller, R. G., "The Jackknife - A review", Biometrika, Vol.61, (1974), pp.1-15.
    12. Miller, R., Halpern, J., "Regression with censored data", Biometrika, Vol.69, (1982), pp.521-531.
    13. Shao, J.; TU, D., "The Jackknife and Bootstrap". Springer-Verlag, 281, (1995).




Article ID: 2291
DOI: 10.14419/ijasp.v2i2.2291

Copyright © 2012-2015 Science Publishing Corporation Inc. All rights reserved.