A0407
Title: Estimation for the Mann-Whitney effect under parametric survival copula models
Authors: Takeshi Emura - Hiroshima University (Japan) [presenting]
Abstract: The Mann-Whitney effect is a measure for comparing survival distributions between two groups. The Mann-Whitney effect is interpreted as the probability that a randomly selected subject in a group survives longer than a randomly selected subject in the other group. Under the independence assumption of two groups, the Mann-Whitney effect can be expressed as the traditional integral formula of survival functions. However, when the survival times in the two groups are not independent of each other, the traditional formula of the Mann-Whitney effect has to be modified. A copula-based estimator is proposed for the Mann-Whitney effect with parametric survival models under the dependence of two groups, which may arise in the potential outcome framework. In addition, the standard error and confidence interval are derived based on the jackknife and asymptotic theory. Through a simulation study, the correctness of the proposed methods is shown. The proposed methods are applied to two real datasets.
