Applications of a mixture survival model with covariates to the analysis of a depression prevention trial

Statistics in Medicine

Volumn 15, Issue 19, 1996, Pages 2077-2094

  Greenhouse, Joel B ^a   Silliman, Nancy Paul ^b  

^a CARNEGIE MELLON UNIVERSITY   (United States)

^b CENTER FOR DRUG EVALUATION AND RESEARCH   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ANTIDEPRESSANT AGENT; IMIPRAMINE;

ARTICLE; BAYES THEOREM; DEPRESSION; HUMAN; PROBABILITY; RECURRENCE RISK; STATISTICAL MODEL; SURVIVAL TIME;

ANTIDEPRESSIVE AGENTS, TRICYCLIC; DEPRESSION; FEMALE; HUMANS; IMIPRAMINE; LIKELIHOOD FUNCTIONS; MALE; MODELS, STATISTICAL; RECURRENCE; SURVIVAL ANALYSIS;

EID: 0029784758     PISSN: 02776715     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0258(19961015)15:19<2077::AID-SIM348>3.0.CO;2-X     Document Type: Article

References (32)

1. Boag, J. W. 'Maximum likelihood estimates of the proportion of patients cured by cancer therapy', Journal of the Royal Statistical Society, Series B, 11, 15-44 (1949).
2. Berkson, J. and Gage, R. P. 'Survival curves for cancer patients following treatment', Journal of the American Statistical Society, 47, 501-515 (1952).
3. Farewell, V. T. The use of mixture models for the analysis of survival data with long-term survivors', Biometrics, 38, 1041-1046 (1982).
4. Greenhouse, J. B. and Wolfe, R. 'A competing risk derivation of a mixture model for the analysis of survival data', Communication in Statistics: Theory and Methods, 13, 3133-3154 (1984).
5. Chen, W. C., Hill, B. M., Greenhouse, J. B. and Fayos, J. V. 'Bayesian analysis of survival curves for cancer patients following treatment', in Bernardo, J. M., DeGroot, M. H., Lindley, D. V., Smith, A. F. M. (eds), Bayesian Statistics 2: Proceedings of the 2nd Valencia International Meeting, North-Holland, 1985.
6. Pocock, S. J., Gore, S. M. and Kerr, G. R. 'Long term survival analysis: The curability of breast cancer', Statistics in Medicine, 1, 93-106 (1982).
7. Mould, R. F. and Boag, J. W. 'A test of several parametric statistical models for estimating success rate in the treatment of carcinoma cervix uteri', British Journal of Cancer, 32, 529-550 (1975).
8. Farewell, V. T. The combined effect of breast cancer risk factors', Cancer, 40, 931-936 (1977).
9. Guzick, D. S., Bross, D. S. and Rock, J. A. 'A parametric method for comparing cumulative pregnancy curves following infertility therapy', Fertility and Sterility, 37, 503-507 (1982).
10. Laska, E. M., Siegel, C. and Sunshine, A. 'Onset and duration: Measurement and analysis', Clinical Pharmacology and Therapeutics, 49, 1-5 (1991).
11. Kessler, R. C., McGonagle, K. A., Zhao, S., Nelson, C. B., Hughes, M., Eshleman, S., Wittchen, H. and Kendler, K. 'Lifetime and 12-month prevalence of DSM-IIIR psychiatric disorders in the United States', Archives of General Psychiatry, 51, 8-19 (1994).
12. Keller, M. B., Shapiro, R. W., Lavori, P. W. and Wolfe, N. 'Relapse in major depressive disorder: analysis with the life table', Archives of General Psychiatry, 39, 911-915 (1982).
13. Prien, R. F., Kupfer, D. J., Mansky, P. A., Small, J. G., Tuason, V. B., Voss, C. B. and Johnson, W. E. 'Drug therapy in the prevention of recurrences in unipolar and bipolar affective disorders: Report of the NIMH collaborative study group comparing lithium carbonate, imipramine, and a lithium carbonate-imipramine combination', Archives of General Psychiatry, 41, 1096-1104 (1984).
14. Greenhouse, J. B., Stangl, D., Kupfer, D. J. and Prien, R. F. 'Methodologic issues in maintenance therapy clinical trials', Archives of General Psychiatry, 48, 313-318 (1991).
15. Stangl, D. K. 'Prediction and decision making using Bayesian hierarchical models', Statistics in Medicine, 14, 2173-2190 (1995).
16. Jeffreys, H. Theory of Probability, 3rd edn, Oxford University Press, Oxford, 1961.
17. Cornfield, J. 'A Bayesian analysis of some classical hypotheses - with applications to sequential clinical trials', Journal of the American Statistical Association, 61, 577-594 (1966).
18. Kass, R. E. and Raftery, A. E. 'Bayes factors', Journal of the American Statistical Association, 90, 773-795 (1995).
19. Kass, R. and Greenhouse, J. 'Comment on "Investigating therapies of potentially great benefit: ECMO" by J. Ware', Statistical Science, 4, 31-317 (1989).
20. Greenhouse, J. 'On some applications of Bayesian methods in cancer clinical trials', Statistics in Medicine, 11, 37-53 (1992).
21. Kass, R. E. 'Bayes factors in practice', Statistician, 42, 551-560 (1993).
22. Schwarz, G. 'Estimating the dimension of a model', Annals of Statistics, 6, 461-464 (1978).
23. Kass, R. E. and Wasserman, L. 'A reference Bayesian test for nested hypotheses and its relationship to the Schwarz Criterion', Journal of the American Statistical Association, 90, 928-934 (1995).
24. Leonard, T. 'Comment on "A simple predictive density function"', Journal of the American Statistical Association, 77, 657-658 (1982).
25. Raftery, A. D., Madigan, D. and Volinsky, C. T. 'Accounting for model uncertainty in survival analysis improves predictive performance', in Berger, J. O., Bernardo, J. M., Dawid, A. P., Lindley, D. V., Smith, A. F. M. (eds), Bayesian Statistics 5, 1995.
26. Yamaguchi, K. 'Accelerated failure-time regression models with a regression model of surviving fraction: an application to the analysis of "Permanent Employment" in Japan', Journal of the American Statistical Association, 87, 284-292 (1992).
27. Draper, D. 'Assessment and propagation of model uncertainty (with Discussion)', Journal of the Royal Statistical Society, Series B, 57, 45-97 (1995).
28. Berger, J. O. Statistical Decision Theory and Bayesian Analysis, Springer-Verlag, New York, 1980.
29. Tanner, M. A. Tools for Statistical Inference, Springer-Verlag, New York, 1993.
30. Greenhouse, J. B. and Wasserman, L. 'A practical, robust method for Bayesian model selection: A case study in the analysis of clinical trials', Department of Statistics Technical Report #625, Carnegie Mellon University, 1995.
31. Ghitany, M. E., Muller, R. A. and Zhou, S. 'Experimental mixture models with long term survivors and covariates', Journal of Multivariate Analysis, (1994).
32. Hadley, G. Nonlinear and Dynamic Programming, Addison-Wesley, New York, 1964.