Abstract Details
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.
|
Authors who are presenting talks have a * after their name.
Back to the full JSM 2015 program
|
For program information, contact the JSM Registration Department or phone (888) 231-3473.
For Professional Development information, contact the Education Department.
The views expressed here are those of the individual authors and not necessarily those of the JSM sponsors, their officers, or their staff.
2015 JSM Online Program Home
ASA Meetings Department
732 North Washington Street, Alexandria, VA 22314
(703) 684-1221 • meetings@amstat.org
Copyright © American Statistical Association.