Abstract
This article develops a two-sample nonparametric goodness-of-fit (GOF) test for uniform stochastic ordering (USO) when observations are taken in pairs. We propose a data-driven critical value that controls the type I error and yields a consistent test. A simulation study illustrates the finite-sample performance of our test. All the proofs are included in the supplemental file.
Acknowledgements
We would like to thank the Editor, the Associate Editor, and two referees for their constructive comments which have greatly improved the presentation of this article. This research was supported in part by R03 AI135614 grant from the National Institutes of Health and an ASPIRE grant from the Office of the Vice President for Research at the University of South Carolina.
Citation
Dewei Wang. Chuan-Fa Tang. "Testing against uniform stochastic ordering with paired observations." Bernoulli 27 (4) 2556 - 2563, November 2021. https://doi.org/10.3150/21-BEJ1322
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