A1 Refereed original research article in a scientific journal
A spatial rank test and corresponding estimators for several samples
Authors: Nevalainen J, Mottonen J, Oja H
Publisher: ELSEVIER SCIENCE BV
Publication year: 2008
Journal: Statistics and Probability Letters
Journal name in source: STATISTICS & PROBABILITY LETTERS
Journal acronym: STAT PROBABIL LETT
Volume: 78
Issue: 6
First page : 661
Last page: 668
Number of pages: 8
ISSN: 0167-7152
DOI: https://doi.org/10.1016/j.spi.2007.09.028
Abstract
In the several samples location problem, it is usually of interest to present estimates of treatment effects along with the test. The spatial Hodges-Lehniann estimators (Delta) over cap (ij) of tile differences between treatments i and j are apparent companions to a multivariate Kruskal-Wallis test. However, these estimators generally fail to satisfy tile property (Delta) over cap (ij) = (Delta) over cap (ik) + (Delta) over cap (kj) , making them incompatible with each other. In this paper we consider adjusted estimators possessing this property. A simulation study is carried out in order to study their finite sample efficiencies. Limiting distributions and efficiencies are presented as well. (c) 2007 Elsevier B.V. All rights reserved.
In the several samples location problem, it is usually of interest to present estimates of treatment effects along with the test. The spatial Hodges-Lehniann estimators (Delta) over cap (ij) of tile differences between treatments i and j are apparent companions to a multivariate Kruskal-Wallis test. However, these estimators generally fail to satisfy tile property (Delta) over cap (ij) = (Delta) over cap (ik) + (Delta) over cap (kj) , making them incompatible with each other. In this paper we consider adjusted estimators possessing this property. A simulation study is carried out in order to study their finite sample efficiencies. Limiting distributions and efficiencies are presented as well. (c) 2007 Elsevier B.V. All rights reserved.
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