Abstract #300506


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JSM 2002 Abstract #300506
Activity Number: 44
Type: Contributed
Date/Time: Sunday, August 11, 2002 : 4:00 PM to 5:50 PM
Sponsor: Section on Nonparametric Statistics*
Abstract - #300506
Title: Aligned Rank Test for the Bivariate Randomized Block Model
Author(s): Denis Larocque*+ and Isabelle Bussieres
Affiliation(s): Ecole des Hautes Etudes Commerciales and Université du Quebec a Trois-Rivieres
Address: 3000, chemin de la Cote-Sainte-Catherine , Montreal, Quebec, H3T 2A7 , Canada
Keywords: affine-invariance ; randomized blocks ; manova ; bivariate data ; aligned rank test ; simulation
Abstract:

An aligned rank test for treatment effects in the bivariate randomized block model is proposed. The test is easy to implement, and its validity requires only minimal assumptions. Furthermore, the test statistic is affine-invariant and has a limiting chi-quare distribution under the null hypothesis when the number of blocks goes to infinity. If the number of blocks is not large enough, we show how to perform a permutation test and illustrate this method with an example. Finally, a simulation study indicates that the new test performs well--compared to the likelihood-ratio test, to a coordinate-wise aligned rank test, and to a sign test based on the Oja measure of scatter.


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