Comparison of quantile regression curves with censored data

Lorenzo Tedesco () and Ingrid Van Keilegom ()
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Lorenzo Tedesco: KU Leuven
Ingrid Van Keilegom: KU Leuven

TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, 2023, vol. 32, issue 3, No 2, 829-864

Abstract: Abstract 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.

Keywords: Bootstrap; Censored data; Comparison of quantile curves; Quantile regression; Survival analysis; 62G08; 62G09; 62G10; 62G20 (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1007/s11749-023-00854-1

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