Explained variation in survival analysis

Statistics in Medicine

Volumn 15, Issue 19, 1996, Pages 1999-2012

  Schemper, Michael ^a   Stare, Janez ^b  

^a UNIVERSITY OF VIENNA   (Austria)

^b UNIVERSITY OF LJUBLJANA   (Slovenia)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHM; ARTICLE; POPULATION RESEARCH; REGRESSION ANALYSIS; STATISTICAL MODEL; SURVIVAL TIME;

HUMANS; LIKELIHOOD FUNCTIONS; LINEAR MODELS; OBSERVER VARIATION; PROGNOSIS; PROPORTIONAL HAZARDS MODELS; SURVIVAL ANALYSIS;

EID: 0029785607     PISSN: 02776715     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0258(19961015)15:19<1999::AID-SIM353>3.0.CO;2-D     Document Type: Article

References (33)

1. Cox, D. R. 'Regression models and life tables (with discussions)', Journal of the Royal Statistical Society, Series B, 34, 187-220 (1972).
2. Korn, L. K. and Simon, R. 'Explained residual variation, explained risk and goodness of fit', American Statistician, 45, 201-206 (1991).
3. Kalbfleisch, J. D. and Prentice, R. L. The Statistical Analysis of Failure Time Data, Wiley, New York, 1980.
4. Karnofsky, F. A., Abelmann, W. H., Craver, L. F. and Burchenal, J. H. 'The use of the nitrogen mustards in the palliative treatment of carcinoma', Cancer, 20, 634-656 (1949).
5. Schemper, M. 'Cox analysis of survival data with non-proportional hazard functions', The Statistician, 21, 455-465 (1992).
6. Stare, J. 'Measures of explained variation in survival analysis', unpublished Ph.D. thesis, University of Ljubljana, Slovenia, 1994.
7. 2', American Statistician, 39, 179-285 (1985).
8. Korn, L. K. and Simon, R. 'Measures of explained variation for survival data', Statistics in Medicine, 9, 487-503 (1990).
9. Schemper, M. 'The explained variation in proportional hazards regression', Biometrika, 77, 216-218 (1990). Correction: Biometrika, 81, 631 (1994).
10. Kaplan, E. L. and Meier, P. M. 'Nonparametric estimation from incomplete observations', Journal of the American Statistical Association, 53, 457-481 (1958).
11. Graf, E. and Schumacher, M. 'An investigation on measures of explained variation in survival analysis', The Statistician, 44, 497-507 (1995).
12. Maddala, G. S. Limited-dependent and Qualitative Variables in Econometrics, Cambridge University Press, Cambridge, U.K., 1983.
13. 2 measures based on WaId and likelihood ratio joint significance tests', American Statistician, 44, 250-253 (1990).
14. Schemper, M. 'Further results on the explained variation in proportional hazards regression', Biometrika, 79, 202-204 (1992).
15. Kent, J. T. and O' Quigley, J. 'Measures of dependence for censored survival data', Biometrika, 75, 525-534 (1988).
16. Kent, J. T. 'Information gain and a general measure of correlation', Biometrika, 70, 163-173 (1983).
17. Harrell, F. E. 'The PHGLM procedure', SUGI Supplemental Library User's Guide, Version 5 ed., SAS Institute Inc., Cary, NC, U.S.A., 1985, pp. 437-448.
18. Conover, W. J. and Iman, R. L. 'Rank transformations as a bridge between parametric and nonparametric statistics', American Statistician, 35, 124-133 (1981).
19. Brown, B. W. Jr., Hollander, M. and Korwar, R. M. 'Nonparametric tests of independence for censored data, with applications to heart transplant studies', in Proshan, F. and Serfling, R. J. (eds), Reliability and Biometry, SIAM, Philadelphia, 1974, pp. 327-354.
20. Harrell, F. E., Califf, R. M., Pryor, D. B., Lee, K. L. and Rosati, R. A. 'Evaluating the yield of medical tests', Journal of the American Medical Association, 247, 2543-2546 (1982).
21. The LOGISTIC Procedure' in SAS/STAT User's Guide, Version 6, Fourth Edition, 1990, pp. 1090-1091.
22. Schemper, M. and Kaider, A. 'A new approach to estimate correlation coefficients in the presence of censoring and proportional hazards', Computational Statistics and Data Analysis, 20, (to appear 1996).
23. Rubin, D. B. Multiple Imputation for Nonresponse in Surveys, Wiley, New York, 1987.
24. Tanner, M. A. Tools for Statistical Inference: Observed Data and Data Augmentation Methods, Lecture Notes in Statistics, 67, 2nd edn, Springer, New York, 1993.
25. NAG Fortran Library Manual - Mark 15, Oxford, Numerical Algorithms Group Ltd., 1991.
26. Lininger, L., Gail, M. H., Green, S. B. and Byar, D. P. 'Comparison of four tests for equality of survival curves in the presence of stratification and censoring', Biometrika, 66, 419-428 (1979).
27. Therneau, T. M. 'A package for survival analysis in S', Technical report # 53, Section of Biostatistics, Mayo Clinic, Rochester, 1994.
28. Nagelkerke, N. J. D. 'A note on a general definition of the coefficient of determination', Biometrika, 78, 691-692 (1991).
29. El Hanaoui, A. and Jais, J. P. 'Study and applications of an informational measure of dependence in survival models', Methods of Information in Medicine, 31, 275-283 (1992).
30. Henderson, R. 'Problems and prediction in survival-data analysis', Statistics in Medicine, 14, 161-184 (1995).
31. Allen, D. M. The relation between variable selection and data augmentation and a method for prediction', Technometrics, 16, 125-127 (1974).
32. Verwej, P. J. M. and Van Houwelingen, H. C. 'Cross-validation in survival analysis', Statistics in Medicine, 12, 2305-2314 (1993).
33. Draper, N. and Smith, H. Applied Regression Analysis, 2nd edn, Wiley, New York, 1981.