Conformal Two Sample Conditional Tests for Survival Comparison

Music City Center 

Survival comparison plays an essential and important role in medical studies and others and has been discussed extensively. However, most of the existing methods focus on the marginal comparison or the comparison of marginal survival functions. In this paper, we consider the comparison of two conditional survival functions given predictors, and two nonparametric conformal test procedures are proposed, one for regular cases and one for high-dimensional situations. In particular, the proposed methods make use of the conformity score and the inverse probability weighting technique along with the U-statistics theory, and two weighted rank-sum test statistics are developed. The asymptotic properties of the proposed method are established, and an extensive simulation study is conducted to evaluate their performances and indicates that they work well in practical situations. n addition, the proposed test procedures are applied to an AIDS study.

Conformal inference

Cox additive model

Survival comparison

U-statistics 

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