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Activity Number: 110
Type: Contributed
Date/Time: Monday, July 30, 2007 : 8:30 AM to 10:20 AM
Sponsor: Section on Nonparametric Statistics
Abstract - #310108
Title: A Modified Mood's Rank Test for Comparing Two Crossing Distributions
Author(s): Michael P. Anderson*+
Companies: Kansas State University
Address: 2103 Prairie Field, Manhattan, KS, 66502,
Keywords: quantile-preserving spread ; two-sample test ; two crossing distributions ; linear rank test statistic
Abstract:

This paper proposes a modification to the traditional nonparametric Mood's test to carry out hypothesis tests for "quantile-preserving spreads" defined in Mendleson (1988). The test makes use of a procedure for estimating the crossing point of two distributions developed in a master's report by Zong (2004). Critical values for the proposed test are tabulated using Monte Carlo simulation. A simulation study is carried out to compare the proposed test with the classical rank tests developed by Mood, Ansari-Bradley, Seigel-Tukey, and Mendelson as well as a test proposed by Zong (2004). The use of the test is demonstrated using guinea pig data given in Doksum (1974).


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