Abstract #301387

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JSM 2003 Abstract #301387
Activity Number: 88
Type: Contributed
Date/Time: Monday, August 4, 2003 : 8:30 AM to 10:20 AM
Sponsor: Section on Nonparametric Statistics
Abstract - #301387
Title: On the Asymptotic Distribution of a Test Statistic Based on the Sample Correlation Coefficient for Comparison of Group of Curves
Author(s): Yolanda Munoz Maldonado*+
Companies: Texas A&M University
Address: Department of Statistics, College Station, TX, 77843-3143,
Keywords: similarity ; U-statistics ; correlation
Abstract:

In many experiments the hypothesis of interest requires one to compare the similarity between groups of curves. We propose to test the hypothesis of no difference between groups of curves using the Pearson sample correlation coefficient applied to every possibly pair of curves within each group. A vector of correlations is then obtained for each group and the means of each of the vectors are computed and averaged to construct the test statistic. It is shown that this test statistic is a U-statistic with an asymptotic normal distribution and its asymptotic mean and variance are obtained. Results from an empirical power study are reported and the method is illustrated using ganglioside data from old and young rats.

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