JSM 2005 Online Program

Abstract #304235

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:	137
Type:	Contributed
Date/Time:	Monday, August 8, 2005 : 10:30 AM to 12:20 PM
Sponsor:	Section on Nonparametric Statistics
Abstract - #304235
Title:	Empirical Process Approach to Some Two-sample Problems Using Ranked Set Samples
Author(s):	Kaushik Ghosh*+ and Ram C. Tiwari
Companies:	George Washington University and National Cancer Institute
Address:	Department of Statistics, Washington, DC, 20052, United States
Keywords:	Shift function ; Q-Q plot ; P-P plot ; Bootstrap ; ROC curve ; Wilcoxon Mann Whitney test
Abstract:	For any two distributions, the horizontal and vertical shift functions are related to the Q-Q and P-P plots, respectively, which are widely used graphical tools in assessing goodness of fit or equality of the two distributions. In this talk, we present the asymptotic properties of these shift functions based on independent ranked set samples drawn from continuous distributions. It is shown that by using balanced ranked set samples over simple random samples, one can decrease the width of the confidence bands of these shift functions and increase the power of the test procedure. We use a small simulation study to validate our results. Finally, we use data on cancer mortality to illustrate the use of the proposed procedure.

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