A consistent multivariate test of association based on ranks of distances

被引:154
作者
Heller, Ruth [1 ]
Heller, Yair [2 ]
Gorfine, Malka [2 ]
机构
[1] Tel Aviv Univ, Sch Math Sci, IL-6997801 Tel Aviv, Israel
[2] Technion Israel Inst Technol, William Davidson Fac Ind Engn & Management, IL-32000 Haifa, Israel
关键词
High-dimensional response; Independence test; Multivariate data; Random vector;
D O I
10.1093/biomet/ass070
中图分类号
Q [生物科学];
学科分类号
07 ; 0710 ; 09 ;
摘要
We consider the problem of detecting associations between random vectors of any dimension. Few tests of independence exist that are consistent against all dependent alternatives. We propose a powerful test that is applicable in all dimensions and consistent against all alternatives. The test has a simple form, is easy to implement, and has good power.
引用
收藏
页码:503 / 510
页数:8
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