Time-dependent AUC with right-censored data: a survey study

The ROC curve and the corresponding AUC are popular tools for the evaluation of diagnostic tests. They have been recently extended to assess prognostic markers and predictive models. However, due to the many particularities of time-to-event outcomes, various definitions and estimators have been proposed in the literature. This review article aims at presenting the ones that accommodate to right-censoring, which is common when evaluating such prognostic markers.