This paper proposes a new test for the comparison of conditional quantile curves when the outcome of interest, typically a duration, is subject to right censoring. The test can be applied both in the case of two independent samples and for paired data, and can be used for the comparison of quantiles at a fixed quantile level, a finite set of levels or a range of quantile levels. The asymptotic distribution of the proposed test statistics is obtained both under the null hypothesis and under local alternatives. We describe a bootstrap procedure in order to approximate the critical values, and present the results of a simulation study, in which the performance of the tests for small and moderate sample sizes is studied and compared with the behavior of alternative tests. Finally, we apply the proposed tests on a data set concerning diabetic retinopathy.

翻译：本文提出了一种新的检验方法，用于在感兴趣的结果（通常为持续时间）存在右删失时比较条件分位数曲线。该检验既适用于两个独立样本的情形，也适用于配对数据，可用于固定分位数水平、有限分位数水平集合或分位数水平范围内的分位数比较。我们推导了所提出的检验统计量在原假设和局部备择假设下的渐近分布。为了近似临界值，我们描述了一种自助法流程，并展示了模拟研究的结果——该研究探讨了在小样本和中等样本量下检验的表现，并将其与其他替代检验的行为进行了比较。最后，我们将所提出的检验应用于一项关于糖尿病视网膜病变的数据集。