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Activity Number: 320
Type: Contributed
Date/Time: Tuesday, August 4, 2009 : 10:30 AM to 12:20 PM
Sponsor: Section on Nonparametric Statistics
Abstract - #304386
Title: A Nonparametric Version of Wilks' Lambda: Asymptotics, Approximations, and Permutations
Author(s): Chunxu Liu*+ and Arne C. Bathke and Solomon W. Harrar
Companies: University of Kentucky and University of Kentucky and The University of Montana
Address: 814 Patterson Office Tower, Lexington, KY, 40506-0027,
Keywords: multivariate data ; permutation tests ; rank tests ; nonnormal data ; ordinal data
Abstract:

We consider a new nonparametric (rank-based) version of Wilks' Lambda test in balanced and unbalanced multivariate one-way designs and derive asymptotic results under two different asymptotic settings: Large sample size (n), or large number of samples (a). We also investigate small-sample approximations and compare the performance with permutation tests and with other recently proposed nonparametric multivariate tests. An example illustrates the application.

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