Electronic Journal of Statistics
- Electron. J. Statist.
- Volume 10, Number 2 (2016), 2511-2536.
Empirical likelihood based tests for stochastic ordering under right censorship
This paper develops an empirical likelihood (EL) approach to testing for stochastic ordering between two univariate distributions under right censorship. The proposed test is based on a maximally selected local EL statistic. The asymptotic null distribution is expressed in terms of a Brownian bridge. The new procedure is shown via a simulation study to have superior power to the log-rank and weighted Kaplan–Meier tests under crossing hazard alternatives. The approach is illustrated using data from a randomized clinical trial involving the treatment of severe alcoholic hepatitis.
Electron. J. Statist., Volume 10, Number 2 (2016), 2511-2536.
Received: August 2015
First available in Project Euclid: 8 September 2016
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Chang, Hsin-wen; McKeague, Ian W. Empirical likelihood based tests for stochastic ordering under right censorship. Electron. J. Statist. 10 (2016), no. 2, 2511--2536. doi:10.1214/16-EJS1180. https://projecteuclid.org/euclid.ejs/1473360697
- Supplement to “Empirical likelihood based tests for stochastic ordering under right censorship”. R programs implementing the procedures developed in this article are available online. Supplementary tables with simulation results under the setup of proportional hazards are also provided.