JSM 2005 Online Program

Abstract #304443

This is the preliminary program for the 2005 Joint Statistical Meetings in Minneapolis, Minnesota. Currently included in this program is the "technical" program, schedule of invited, topic contributed, regular contributed and poster sessions; Continuing Education courses (August 7-10, 2005); and Committee and Business Meetings. This on-line program will be updated frequently to reflect the most current revisions.

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Activity Number:	519
Type:	Contributed
Date/Time:	Thursday, August 11, 2005 : 10:30 AM to 12:20 PM
Sponsor:	Section on Nonparametric Statistics
Abstract - #304443
Title:	New Nonparametric Tests of Multivariate Locations and Scales Using Data Depth
Author(s):	Jun Li*+ and Regina Liu
Companies:	Rutgers University and Rutgers University
Address:	Department of Statistics, Piscataway, NJ, 08854, United States
Keywords:	data depth ; DD-plot ; multivariate location difference ; multivariate scale difference ; permutation test ; multivariate rank test
Abstract:	Multivariate statistics plays a role of ever increasing importance in the modern era of information technology. Using the center-outward ranking induced by the notion of data depth, we describe several nonparametric tests of location and scale differences for multivariate distributions. The tests for location differences are derived from graphs in the so-called DD-plots (depth vs. depth plots) and are implemented through the idea of permutation tests. The proposed test statistics are scale-standardized measures for the location difference, and they can be carried out without estimating the scale or variance of the underlying distributions. The test for scale differences is a natural multivariate rank test derived from the center-outward depth ranking, and it extends the Wilcoxon rank sum test to the testing of multivariate scale. We discuss the properties of these tests and provide simulation results as well as a comparison study under normality. Finally, we apply the tests to compare airline performances in the context of aviation safety evaluations.

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