23 On constructing confidence intervals for the concordance statistics for censored survival data

Oregon Convention Center 

The concordance statistic is an index to evaluate the discriminant performance of a model, first proposed in logistic regression and frequently used in survival analysis nowadays. When dealing with survival data, these are attributed to Mann-Whitney-type statistics in scenarios without censoring, but usually, censoring will be an issue. Furthermore, a normal approximation has been commonly used to obtain confidence intervals for the estimator, but it may not work well in small-sample situations. In this study, we propose a new method of constructing confidence intervals by considering these statistics within the framework of the Stress-Strength model, a measure used in reliability engineering that considers two random variables: "Stress" and "Strength". This model estimates the probability of failure when Stress surpasses Strength. Its advantages include the ability to calculate probabilities directly concerning scientific interests, as well as facilitating flexible modeling and estimation. Performance evaluation by simulation will be presented on the same day.

Survival analysis

concordance statistics

stress strength model 

Biometrics Section