|
Activity Number:
|
382
|
|
Type:
|
Contributed
|
|
Date/Time:
|
Wednesday, August 1, 2007 : 8:30 AM to 10:20 AM
|
|
Sponsor:
|
Section on Nonparametric Statistics
|
| Abstract - #308266 |
|
Title:
|
One-Sample Location Tests for Multilevel Data
|
|
Author(s):
|
Denis Larocque*+ and Jaakko Nevalainen and Hannu Oja
|
|
Companies:
|
HEC Montreal and University of Tampere and University of Tampere
|
|
Address:
|
3000 ch Cote Sainte Catherine, Montreal, H3T 2A7, Canada
|
|
Keywords:
|
Multilevel data ; Hierarchical data ; Sign test ; Wilcoxon signed-rank test ; Clustered data ; Asymptotic efficiency
|
|
Abstract:
|
In this paper, we consider testing the location parameter with multilevel (or hierarchical) data. A general family of weighted test statistics are introduced. This family includes extensions to the case of multilevel data of familiar procedures like the t, the sign and the Wilcoxon signed-rank tests. Under mild assumptions, the test statistics have a null limiting normal distribution which facilitates their use. An investigation of the relative merits of selected members of the family of tests is achieved theoretically by deriving their relative asymptotic efficiency (ARE) and empirically via a simulation study. It is shown that the performance of a test depends on the clusters configurations and on the intracluster correlations. Explicit formulas for optimal weights and a discussion of the impact of omitting a level are provided for 2- and 3-level data.
|
