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Theory and Method

A Graphical Method for Assessing Goodness of Fit in Cox's Proportional Hazards Model

Pages 204-212 | Received 01 Aug 1985, Published online: 12 Mar 2012

References

  • Aalen , O. O. and Hoem , J. M. 1978 . “Random Time Changes for Multivariate Counting Processes,” . Scandinavian Actuarial Journal , : 81 – 101 .
  • Andersen , P. K. 1982 . “Testing Goodness-of-Fit of Cox's Regression and Life Model,” . Biometrics , 38 : 67 – 77 .
  • Andersen , P. K. and Gill , R. D. 1982 . “Cox's Regression Model for Counting Processes: A Large Sample Study,” . The Annals of Statistics , 10 : 1100 – 1120 .
  • Arjas , E. 1985 . Comment on “Counting Process Models for Life History Data: A Review,” by P. K. Andersen and Ø. Borgan,” . Scandinavian Journal of Statistics , 12 : 150 – 153 .
  • Arjas , E. and Haara , P. 1987 . “A Note on the Asymptotic Normality in the Cox Regression Model,” unpublished manuscript
  • Arjas , E. and Haara , P. “A Note on the Exponentiality of Total Hazards Before Failure,” . Journal of Multivariate Analysis , (in press)
  • Barlow , R. and Campo , R. 1975 . “Total Time on Test Processes and Applications to the Failure Data Analysis,” . In Reliability and Fault Tree Analysis , Edited by: Moolgavkar , S. H. and Prentice , R. L. 451 – 481 . Philadelphia : Society for Industrial and Applied Mathematics .
  • Breslow , N. E. , Edler , L. and Berger , J. 1984 . “A Two-Sample Censored-Data Rank Test for Acceleration,” . Biometrics , 40 : 1049 – 1062 .
  • Cox , D. R. 1972 . “Regression Models and Life Tables” (with discussion),” . Journal of the Royal Statistical Society, Ser. B , 34 : 187 – 220 .
  • Cox , D. R. 1979 . “A Note on the Graphical Analysis of Survival Data,” . Biometrika , 66 : 188 – 190 .
  • Crowley , J. and Hu , M. 1977 . “Covariance Analysis of Heart Transplant Survival Data,” . Journal of the American Statistical Association , 72 : 27 – 36 .
  • Crowley , J. and Storer , B. E. 1983 . Comment on “A Reanalysis of the Stanford Heart Transplant Data,” by M. Aitkin, N. Laird, and B. Francis,” . Journal of the American Statistical Association , 78 : 277 – 281 .
  • Drzewiecki , K. T. and Andersen , P. K. 1982 . “Survival With Malignant Melanoma. Regression Analysis of Prognostic Factors,” . Cancer , 49 : 2414 – 2419 .
  • Gill , R. D. 1984 . “Understanding Cox's Regression Model: A Martingale Approach,” . Journal of the American Statistical Association , 79 : 441 – 447 .
  • Gill , R. D. and Schumacher , M. 1987 . “A Simple Test for the Proportional Hazards Assumption,” . Biometrika , 74 : 289 – 300 .
  • Haara , P. “A Note on the Asymptotic Behaviour of the Empirical Score in Cox's Regression Model for Counting Processes,” . Proceedings of the 1st World Congress of the Bernoulli Society . pp. 139 – 142 . Tashkent : VNU Science Press .
  • Hjort , N. L. 1984 . “Weak Convergence of Cumulative Intensity Processes When Parameters Are Estimated, With Applications to Goodness-of-Fit Tests in Models With Censoring,” , Norwegian Computing Center . research report
  • Kalbfleisch , J. D. “Some Extensions and Applications of Cox's Regression and Life Model,” . presented at the Joint Statistical Meeting in Tallahassee . March , Florida .
  • Kalbfleisch , J. D. and Prentice , R. L. 1980 . The Statistical Analysis of Failure Time Data , New York : John Wiley .
  • Kay , R. 1977 . “Proportional Hazard Regression Models and the Analysis of Censored Survival Data,” . Applied Statistics , 26 : 227 – 237 .
  • Lagakos , S. W. 1981 . “The Graphical Evaluation of Explanatory Variables in Proportional Hazards Regression Models,” . Biometrika , 68 : 93 – 98 .
  • Lagakos , S. W. and Schoenfeld , D. 1984 . “Properties of Proportional Hazards Score Tests Under Misspecified Regression Models,” . Biometrics , 40 : 1037 – 1048 .
  • Moreau , T. , O'Quigley , J. and Mesbah , M. 1985 . “A Global Goodness-of-Fit Statistic for the Proportional Hazards Model,” . Applied Statistics , 34 : 212 – 218 .
  • Schoenfeld , D. 1980 . “Chi-Squared Goodness-of-Fit Tests for the Proportional Hazards Regression Model,” . Biometrika , 67 : 145 – 153 .
  • Schoenfeld , D. 1982 . “Partial Residuals for the Proportional Hazards Regression Model,” . Biometrika , 69 : 239 – 241 .
  • Thall , P. F. and Lachin , J. M. 1986 . “Assessment of Stratum—Covariate Interactions in Cox's Proportional Hazards Regression Model,” . Statistics in Medicine , 5 : 73 – 84 .
  • Thomas , D. C. 1983 . “Non-parametric Estimation and Tests of Fit for Dose—Response Relations,” . Biometrics , 39 : 263 – 268 .
  • Wei , L. J. 1984 . “Testing Goodness of Fit for Proportional Hazards Model With Censored Observations,” . Journal of the American Statistical Association , 79 : 649 – 652 .

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