Journal of the Korean Data and Information Science Society

The Korean Data and Information Science Society (한국데이터정보과학회)
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Assessing Cure Rates via Piecewise Gompertz model with Covariates

  • Chung, Dae-Hyun (Dept. of Statistics, Chungbuk National University) ;
  • Won, Dong-Yu (Dept. of Statistics, Chungbuk National University)
  • Published : 1999.10.31
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Abstract

We modify the Gompertz regression model for estimation of cure rates from pediatric clinical trials by assuming different hazard rates on the different periods. A treatment period may be divided by the stages of treatments under the different treatment arms. The piecewise Gompertz models provide an efficient method for estimation of the cure rates and a method for testing the difference of the treatment effects in the given interval.

Keywords

References

  1. Statistics in Medicine v.11 Parametric versus non-parametric methods for estimating cure rates based on censored survival data Cantor, A. B.;Shuster, J. J.
  2. Journal of Royal Statistical Society B no.34 Regressiion models and life tables (with discussion) Cox, D. R.
  3. Biometrika v.62 Partial likelihood Cox, D. R.
  4. Biometrics v.38 The use of mixture models for the analysis of survival data with long-term survivors Farewell, V. T.
  5. Biometrics v.38 The use of mixture models for the analysis of survival data with long-term survivors Farewell, V. T.
  6. Biometrics v.21 Estimation of exponential survival probabilities with concomitant information Figel, P.;Zelen, M.
  7. Annals of Statistics v.10 no.1 Piecewise exponential models for survival data with covariates Friedman, M.
  8. Applied Statistics v.19 Maximum likelihood estimation of the parameters of the Gompertz survival function Garg, M. L.;Rao, B. R.;Redmond, C. K.
  9. Statistics in Medicine v.17 Modelling cure rates using the Gompertz model with covariate information Geiser, P. W.;Chang, M.;P. V. Rao;Shuster, J. J.;Pullen, J.
  10. Biometrics v.45 A linear rank test for use when the main interests is in cure rates Gray, R. J.;Tsiatis, A. A.
  11. Biometrika v.61 Some efficiency calculations for survival distributions Kalbfleisch, J. D.
  12. Biometrika v.64 Efficiency in survival distributions with time dependent covariables Kalbfleisch, J. D.;McIntosh, A. A.
  13. Journal of the American Statistical Association v.53 Nonparmetric estimation from incomplete observations Kaplan, E. L.;Meier, P.
  14. Journal of American Statistical Association v.82 Restricted mean life with adjustment for covariates Karrison, T.
  15. Biometrics v.48 Nonparametric estimation and testing in a cure model Laska, E. M.;Meisner, M. J.
  16. Applied Statistics v.10 A method of maximum-likelihood estimation Richards, F. S. G.