Open Access
February 2019 Nonparametric testing for multiple survival functions with noninferiority margins
Hsin-wen Chang, Ian W. McKeague
Ann. Statist. 47(1): 205-232 (February 2019). DOI: 10.1214/18-AOS1686


New nonparametric tests for the ordering of multiple survival functions are developed with the possibility of right censorship taken into account. The motivation comes from noninferiority trials with multiple treatments. The proposed tests are based on nonparametric likelihood ratio statistics, which are known to provide more powerful tests than Wald-type procedures, but in this setting have only been studied for pairs of survival functions or in the absence of censoring. We introduce a novel type of pool adjacent violator algorithm that leads to a complete solution of the problem. The limit distributions can be expressed as weighted sums of squares involving projections of certain Gaussian processes onto the given ordered alternative. A simulation study shows that the new procedures have superior power to a competing combined-pairwise Cox model approach. We illustrate the proposed methods using data from a three-arm noninferiority trial.


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Hsin-wen Chang. Ian W. McKeague. "Nonparametric testing for multiple survival functions with noninferiority margins." Ann. Statist. 47 (1) 205 - 232, February 2019.


Received: 1 May 2017; Revised: 1 November 2017; Published: February 2019
First available in Project Euclid: 30 November 2018

zbMATH: 07036200
MathSciNet: MR3909932
Digital Object Identifier: 10.1214/18-AOS1686

Primary: 62G10
Secondary: 62F30 , 62G20

Keywords: empirical likelihood , equivalence test , order-restricted inference

Rights: Copyright © 2019 Institute of Mathematical Statistics

Vol.47 • No. 1 • February 2019
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