This is the program for the 2010 Joint Statistical Meetings in Vancouver, British Columbia.

Abstract Details

Activity Number: 232
Type: Topic Contributed
Date/Time: Monday, August 2, 2010 : 2:00 PM to 3:50 PM
Sponsor: Section on Nonparametric Statistics
Abstract - #307584
Title: Nonparametric Multiple Comparison Procedures for Unbalanced Designs
Author(s): Xin Gao*+
Companies: York University
Address: Department of Mathematics and Statistics, Toronto, ON, L4E 0A1, Canada
Keywords: Logically related hypotheses ; Nonparametric relative effects ; Simes inequality ; Stepwise procedures ; Pseudo linear rank statistics ; Multivariate totally positive of order two condition;
Abstract:

In this talk, we consider nonparametric multiple comparison procedures for unbalanced factorial designs under a pure nonparametric framework. For multiple comparisons of treatments versus a control concerning the main effects or the simple factor effects, the limiting distribution of the associated rank statistics is proven to satisfy the multivariate totally positive of order two condition. Hence, asymptotically the proposed Hochberg procedure strongly controls the familywise type I error rate for the simultaneous testing of the individual hypotheses. In addition, we propose to employ Shaffer's modified version of Holm's stepdown procedure to perform simultaneous tests on all pairwise comparisons regarding the main or simple factor effects and to perform simultaneous tests on all interaction effects. The logical constraints in the corresponding hypothesis families are utilized.


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