A1 Vertaisarvioitu alkuperäisartikkeli tieteellisessä lehdessä
A spatial rank test and corresponding estimators for several samples
Tekijät: Nevalainen J, Mottonen J, Oja H
Kustantaja: ELSEVIER SCIENCE BV
Julkaisuvuosi: 2008
Lehti: Statistics and Probability Letters
Tietokannassa oleva lehden nimi: STATISTICS & PROBABILITY LETTERS
Lehden akronyymi: STAT PROBABIL LETT
Vuosikerta: 78
Numero: 6
Aloitussivu: 661
Lopetussivu: 668
Sivujen määrä: 8
ISSN: 0167-7152
DOI: https://doi.org/10.1016/j.spi.2007.09.028
Tiivistelmä
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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