Paramita Saha
I will be talking about my dissertation. In this dissertation, we characterize the prognostic value of a scalar score or a marker by extending standard binary classification accuracy summaries like sensitivity or True Positive (TP), specificity or 1 – False Positive (FP), Receiver Operating Characteristic (ROC) curve and Area Under the ROC Curve (AUC) for censored survival data. In my dissertation, I introduce novel statistical methodology to solve some of these problems. First, we propose time-dependent accuracy measures for a marker when we have censored survival times and competing risks. We extend time-dependent definitions of TP and FP to incorporate causes of failure for competing risks outcomes. The proposed methods extend the time-dependent predictive accuracy measures of Heagerty et al. (2000), and Heagerty and Zheng (2005). Next, we propose a direct, non-parametric estimator of the time-dependent AUC curve, and show that the proposed estimator performs comparably or better than the semi-parametric AUC curve estimator proposed by Heagerty and Zheng (2005). The proposed method extends non-parametric AUC estimates for the binary data and we establish asymptotic properties. An overall measure of concordance is also proposed. Time-dependnet markers can also be accommodated in the estimation to capture the evolving nature of the marker. Finally, we introduce a time-averaged ROc curve to summarize the predictive accuracy of a marker accrued over time. We also introduce methods for comparison of markers via this summary ROC curve and demonstrate that this approach may be used to optimize screening schedules for diseases like breast cancer.