Abstract #300072

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JSM 2003 Abstract #300072
Activity Number: 468
Type: Contributed
Date/Time: Thursday, August 7, 2003 : 10:30 AM to 12:20 PM
Sponsor: Section on Nonparametric Statistics
Abstract - #300072
Title: A New Nonparametric Test for the Ordered Alternative Problem
Author(s): Jeffrey Terpstra*+
Companies: North Dakota State University
Address: PO Box 5575, Fargo, ND, 58105-5575,
Keywords: Asymptotic distribution ; Jonckheere-Terpstra test ; Ordered alternative ; Nonparametric test ; Power comparisons
Abstract:

This paper proposes a new nonparametric test for detecting nondecreasing ordered alternatives. The exact mean and variance of the null distribution are derived and it is shown that this distribution is asymptotically normal. The test is designed to help alleviate some of the problems that existing tests have with high powers when the assumed a priori ordering among the parameters is incorrect. For example, small sample and asymptotic power comparisons indicate that the proposed test has higher powers than the general alternative Kruskal-Wallis test when the assumed ordering is correct, and lower powers than existing nonparametric tests for ordered alternatives when the location parameters differ, but do not follow a nondecreasing pattern. Some actual data examples are also discussed.


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