Abstract
For competing risks data, it is often important to predict a patient's outcome status at a clinically meaningful time point after incorporating the informative censoring due to competing risks. This can be done by adopting a regression model that relates the cumulative incidence probabilities to a set of covariates. To assess the performance of the resulting prediction tool, we propose an estimator of the polytomous discrimination index applicable to competing risks data, which can quantify a prognostic model's ability to discriminate among subjects from different outcome groups. The proposed estimator allows the prediction model to be subject to model misspecification and enjoys desirable asymptotic properties. We also develop an efficient computation algorithm that features a computational complexity of (Formula presented.). A perturbation resampling scheme is developed to achieve consistent variance estimation. Numerical results suggest that the estimator performs well under realistic sample sizes. We apply the proposed methods to a study of monoclonal gammopathy of undetermined significance.
Original language | English (US) |
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Pages (from-to) | 731-753 |
Number of pages | 23 |
Journal | Canadian Journal of Statistics |
Volume | 49 |
Issue number | 3 |
DOIs | |
State | Published - Sep 2021 |
Keywords
- Competing risks
- Fine & Gray model
- cumulative incidence
- polytomous discrimination index
- predictive discrimination
- prognostic model
ASJC Scopus subject areas
- Statistics and Probability
- Statistics, Probability and Uncertainty
MD Anderson CCSG core facilities
- Biostatistics Resource Group