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Weighted rank tests and Hodges-Lehmann estimates for the multivariate two-sample location problem with clustered data




TekijätLemponen R, Larocque D, Nevalainen J, Oja H

KustantajaTAYLOR & FRANCIS LTD

Julkaisuvuosi2012

JournalJournal of Nonparametric Statistics

Tietokannassa oleva lehden nimiJOURNAL OF NONPARAMETRIC STATISTICS

Lehden akronyymiJ NONPARAMETR STAT

Numero sarjassa4

Vuosikerta24

Numero4

Aloitussivu977

Lopetussivu991

Sivujen määrä15

ISSN1048-5252

DOIhttps://doi.org/10.1080/10485252.2012.712693


Tiivistelmä
A family of weighted rank tests and corresponding Hodges-Lehmann estimates are proposed for the analysis of multivariate two-sample clustered data. These procedures are a specific case of the nonparametric multivariate methods for clustered data considered by Nevalainen, Larocque, Oja, and Porsti [(2010), 'Nonparametric Analysis of Clustered Multivariate Data', Journal of the American Statistical Association, 105, 864-871]. This paper provides detailed proofs of their asymptotic properties that have not been previously published. Optimal weights for the procedures are derived and illustrated. The theoretical results are supplemented with simulation studies.



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