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Activity Number: 318
Type: Contributed
Date/Time: Tuesday, August 11, 2015 : 8:30 AM to 10:20 AM
Sponsor: Section on Nonparametric Statistics
Abstract #317193 View Presentation
Title: Nonparametric Tests of Uniform Stochastic Ordering
Author(s): Chuan-Fa Tang* and Joshua M. Tebbs and Dewei Wang
Companies: University of South Carolina and University of South Carolina and University of South Carolina
Keywords: Stochastic ordering ; Least star-shaped majorant ; Order-restricted inference ; Ordinal dominance curve
Abstract:

We derive nonparametric procedures for testing for and against uniform stochastic ordering in the two-population setting with continuous distributions. We account for this ordering by examining the least star-shaped majorant of the ordinal dominance curve formed from the nonparametric maximum likelihood estimators of the continuous distribution functions F and G. In particular, we focus on testing equality of F and G versus uniform stochastic ordering and testing for a violation of uniform stochastic ordering. For both testing problems, we propose a family of Lp norm statistics, derive appropriate limiting distributions, and provide simulation results that characterize the performance of our procedures. We illustrate our methods using data from a study involving premature infants and the occurrence of necrotizing enterocolitis.


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