Confidence intervals for median survival times under a piecewise exponential model with proportional hazards covariate effects

Statistics in Medicine

Volumn 15, Issue 2, 1996, Pages 171-182

  Karrison, Theodore ^a  

^a UNIVERSITY OF CHICAGO   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; COVARIANCE; MODEL; MOUTH CANCER; PHARYNX CANCER; POPULATION RESEARCH; STATISTICS; SURVIVAL RATE; SURVIVAL TIME;

AGE FACTORS; BIAS (EPIDEMIOLOGY); CLINICAL TRIALS; CONFIDENCE INTERVALS; HEAD AND NECK NEOPLASMS; HUMANS; LIKELIHOOD FUNCTIONS; PROPORTIONAL HAZARDS MODELS; REPRODUCIBILITY OF RESULTS; STATISTICS, NONPARAMETRIC; SURVIVAL ANALYSIS;

EID: 0030024458     PISSN: 02776715     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0258(19960130)15:2<171::AID-SIM146>3.0.CO;2-U     Document Type: Article

References (26)

1. Peto, R., Pike, M. C., Armitage, P., Breslow, N. E., Cox, D. R., Howard, S. V., Mantel, N., McPherson, K., Peto, J. and Smith, P. G. 'Design and analysis of randomized clinical trials requiring prolonged observation of each patient II', British Journal of Cancer, 35, 1-39 (1977).
2. Brookmeyer, R. and Crowley, J. 'A confidence interval for the median survival time', Biometrics 38, 29-41 (1982).
3. Slud, E. V., Byar, D. P. and Green, S. B. 'A comparison of reflected versus test-based confidence intervals for the median survival time, based on censored data', Biometrics, 40, 587-600 (1984).
4. Jennison, C. and Turnbull, B. W. 'Repeated confidence intervals for the median survival time', Biometrika, 72, 619-625 (1985).
5. Holford, T. R. 'Life tables with concomitant information', Biometrics, 32, 587-597 (1976).
6. Holford, T. R. 'The analysis of rates and of survivorship using log-linear models', Biometrics, 36, 299-305 (1980).
7. Friedman, M. 'Piecewise exponential models for survival data with covariates', The Annals of Statistics, 10, 101-113 (1982).
8. Karrison, T. 'Restricted mean life with adjustment for covariates', Journal of the American Statistical Association, 82, 1169-1176 (1987).
9. Link, C. L. 'Confidence intervals for the survival function using Cox's proportional- hazard model with covariates', Biometrics, 40, 601-610 (1984).
10. Kaplan, E. L. and Meier, P. 'Nonparametric estimation from incomplete observations', Journal of the American Statistical Association, 53, 457-481 (1958).
11. Greenwood, M. 'The natural duration of cancer', in Reports on Public Health and Medical Subjects, No. 33, Her Majesty's Stationery Office, London, 1926, pp. 1-26.
12. Sander, J. 'The weak convergence of quantiles of the product-limit estimator', Stanford Technical Report No. 5, Division of Biostatistics, Stanford University, 1975.
13. Efron, B. 'Censored data and the bootstrap', Journal of the American Statistical Association, 76, 312-319 (1981).
14. Reid, N. 'Estimating the median survival time', Biometrika, 68, 601-608 (1981).
15. Emerson, J. 'Nonparametric confidence intervals for the median in the presence of right censoring', Biometrics, 38, 17-27 (1982).
16. Simon, R. and Lee, Y. J. 'Nonparametric confidence limits for survival probabilities and median survival time'. Cancer Treatment Reports, 66, 37-42 (1982).
17. Elashoff, R. M., Lee, J. J. and Afifi, A. A. 'A note on confidence limits for quartiles with right censored data', Statistics in Medicine, 8, 1269-1276 (1989).
18. Cox, D. R. 'Regression models and life tables (with discussion)', Journal of the Royal Statistical Society, Series B, 34, 187-202 (1972).
19. Rao, C. R. Linear Statistical Inference and Its Applications, 2nd edn, Wiley, New York, 1973.
20. Kalbfleisch, J. D. and Prentice, R. L. The Statistical Analysis of Failure Time Data, Wiley, New York, 1980.
21. Fazekas, J. T., Sommer, C. and Kramer, S. 'Adjuvant intravenous methotrexate or definitive radiotherapy alone for advanced squamous cancers of the oral cavity, oropharynx, supraglottis larynx or hypopharynx', International Journal of Radiation Oncology Biology Physcis, 6, 533-541 (1980).
22. SAS. SAS/STAT User's Guide, Version 6, Fourth edn, Volume 2, SAS Institute, Inc., Cary, NC, 1990.
23. Breslow, N. 'Covariance analysis of censored survival data', Biometrics 30, 89-99 (1974).
24. Dabrowska, D. M. and Doksum, K. A. 'Estimates and confidence intervals for median and mean life in the proportional hazard model', Biometrika, 74, 799-807 (1987).
25. Burr, D. and Doss, H. 'Confidence bands for the median survival time as a function of the covariates in the Cox model', Journal of the American Statistical Association, 88, 1330-1340 (1993).
26. Ying, Z., Jung, S. H. and Wei, L. J. 'Survival analysis with median regression models', Journal of the American Statistical Association, 90, 178-184 (1995).