Review and comparison of ROC curve estimators for a time-dependent outcome with marker-dependent censoring

Biometrical Journal

Volumn 55, Issue 5, 2013, Pages 687-704

  Blanche, Paul ^a,b   Dartigues, Jean François ^a,b   Jacqmin Gadda, Hélène ^a,b  

^a UNIVERSITÉ DE BORDEAUX   (France)

^b INSERM   (France)

Author keywords

AUC; IPCW; Prediction; ROC curve; Survival analysis

Indexed keywords

INVERSE PROBLEMS;

AUC; CLINICAL OUTCOME; IPCW; NEAREST-NEIGHBOUR; PROPERTY; ROC CURVES; SENSITIVITY CURVES; SIMULATION STUDIES; SURVIVAL ANALYSIS; TIME DEPENDENT;

FORECASTING;

BIOLOGICAL MARKER;

AGED; AREA UNDER THE CURVE; ARTICLE; BIOMETRY; COMPARATIVE STUDY; DEMENTIA; HUMAN; IPCW; METHODOLOGY; PREDICTION; PROGNOSIS; RECEIVER OPERATING CHARACTERISTIC; STATISTICAL MODEL; SURVIVAL; TIME;

AUC; IPCW; PREDICTION; ROC CURVE; SURVIVAL ANALYSIS;

AGED; BIOLOGICAL MARKERS; BIOMETRY; DEMENTIA; HUMANS; MODELS, STATISTICAL; PROGNOSIS; ROC CURVE; TIME FACTORS;

EID: 84883365130     PISSN: 03233847     EISSN: 15214036     Source Type: Journal    
DOI: 10.1002/bimj.201200045     Document Type: Article

References (30)

1. Akritas, M. (1994). Nearest neighbor estimation of a bivariate distribution under random censoring. Annals of Statistics 22, 1299-1327.
2. Amieva, H., Jacqmin-Gadda, H., Orgogozo, J., Le Carret, N., Helmer, C., Letenneur, L., Barberger-Gateau, P., Fabrigoule, C. and Dartigues, J. (2005). The 9 year cognitive decline before dementia of the Alzheimer type: a prospective population-based study. Brain 128, 1093-1101.
3. Beran, R. (1981). Nonparametric regression with randomly censored survival data. Unpublished technical report, University of California, Berkeley.
4. Cai, T., Gerds, T., Zheng, Y. and Chen, J. (2011). Robust prediction of t-year survival with data from multiple studies. Biometrics 67, 436-444.
5. Cai, T., Pepe, M., Zheng, Y., Lumley, T. and Jenny, N. (2006). The sensitivity and specificity of markers for event times. Biostatistics 7, 182-197.
6. Chambless, L. and Diao, G. (2006). Estimation of time-dependent area under the ROC curve for long-term risk prediction. Statistics in Medicine 25, 3474-3486.
7. Chiang, C. and Hung, H. (2010). Non-parametric estimation for time-dependent AUC. Journal of Statistical Planning and Inference 140, 1162-1174.
8. Foucher, Y., Giral, M., Soulillou, J. and Daures, J. (2010). Time-dependent ROC analysis for a three-class prognostic with application to kidney transplantation. Statistics in Medicine 29, 3079-3087.
9. Gerds, T. and Schumacher, M. (2006). Consistent estimation of the expected Brier score in general survival models with right-censored event times. Biometrical Journal 48, 1029-1040.
10. Graf, E., Schmoor, C., Sauerbrei, W. and Schumacher, M. (1999). Assessment and comparison of prognostic classification schemes for survival data. Statistics in Medicine 18, 2529-2545.
11. Heagerty, P., Lumley, T. and Pepe, M. (2000). Time-dependent ROC curves for censored survival data and a diagnostic marker. Biometrics 56, 337-344.
12. Heagerty, P. and Zheng, Y. (2005). Survival model predictive accuracy and ROC curves. Biometrics 61, 92-105.
13. Hung, H. and Chiang, C. (2010a). Estimation methods for time-dependent AUC models with survival data. Canadian Journal of Statistics 38, 8-26.
14. Hung, H. and Chiang, C. (2010b). Optimal composite markers for time-dependent receiver operating characteristic curves with censored survival data. Scandinavian Journal of Statistics 37, 664-679.
15. Hung, H. and Chiang, C.-T. (2011). Nonparametric methodology for the time-dependent partial area under the ROC curve. Journal of Statistical Planning and Inference 141, 3829-3838.
16. Jacqmin-Gadda, H., Fabrigoule, C., Commenges, D., and Dartigues, J. (1997). A 5-year longitudinal study of the Mini-Mental State Examination in normal aging. American Journal of Epidemiology 145, 498-506.
17. Joly, P., Commenges, D., Helmer, C. and Letenneur, L. (2002). A penalized likelihood approach for an illness-death model with interval-censored data: application to age-specific incidence of dementia. Biostatistics 3, 433-443.
18. Kaplan, E. and Meier, P. (1958). Nonparametric estimation from incomplete observations. Journal of the American Statistical Association 53, 457-481.
19. Pepe, M. (2003). The Statistical Evaluation of Medical Tests for Classification and Prediction. Oxford University Press, Oxford.
20. Pepe, M., Zheng, Y., Jin, Y., Huang, Y., Parikh, C. and Levy, W. (2008). Evaluating the ROC performance of markers for future events. Lifetime Data Analysis 14, 86-113.
21. Proust-Lima, C. and Taylor, J. (2009). Development and validation of a dynamic prognostic tool for prostate cancer recurrence using repeated measures of posttreatment PSA: a joint modeling approach. Biostatistics 10, 535-549.
22. Rizopoulos, D. (2011). Dynamic predictions and prospective accuracy in joint models for longitudinal and time-to-event data. Biometrics 67, 819-829.
23. Saha, P. and Heagerty, P. (2010). Time-dependent predictive accuracy in the presence of competing risks. Biometrics 66, 999-1011.
24. Satten, G. and Datta, S. (2001). The Kaplan-Meier estimator as an inverse-probability-of-censoring weighted average. The American Statistician 55, 207-210.
25. Scheike, T., Zhang, M. and Gerds, T. (2008). Predicting cumulative incidence probability by direct binomial regression. Biometrika 95, 205-220.
26. Song, X. and Zhou, X. (2008). A semiparametric approach for the covariate-specific ROC curve with survival outcome. Statistica Sinica 18, 947-965.
27. Uno, H., Cai, T., Tian, L. and Wei, L. (2007). Evaluating prediction rules for t-year survivors with censored regression models. Journal of the American Statistical Association 102, 527-537.
28. Vellas, B., Andrieu, S., Ousset, P., Ouzid, M. and Mathiex-Fortunet, H. (2006). The guidage study: methodological issues. A 5-year double-blind randomized trial of the efficacy of egb 761 (r) for prevention of alzheimer disease in patients over 70 with a memory complaint. Neurology 67(Suppl 3), S6.
29. Viallon, V. and Latouche, A. (2011). Discrimination measures for survival outcomes: connection between the AUC and the predictiveness curve. Biometrical Journal 53, 217-236.
30. Wechsler, D. (1981). Wechsler Adult Intelligence Scale (rev. ed. Psychological Corporation, New York.