A Multivariate Kruskal-Wallis Test With Post Hoc Procedures

Multivariate Behavioral Research
B M Katz, M McSweeney

Abstract

An explicit statement of a statistic which is a nonparametric analogue to one-way MANOVA is presented. The statistic is a multivariate extension of the nonparametric Kruskal-Wallis test (1952). The large sample reference distribution of the test statistic is derived together with a set of computational formulas for the test statistic. In addition two post hoc procedures are developed and compared. The statistic and its post hoc procedures are illustrated with a data example from the behavioral sciences.

References

Jan 19, 1973·Science·M J FowlerB R Ekstrand
Jun 1, 1967·Psychological Bulletin·L A Marascuilo, M McSweeney

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Citations

Oct 1, 1989·Multivariate Behavioral Research·R Pavur, R Nath
Apr 1, 1986·Multivariate Behavioral Research·R Zwick
Apr 9, 2017·Journal of the Mechanical Behavior of Biomedical Materials·Jose L Calvo-GallegoJavier Martínez-Reina
Dec 25, 2016·The Journal of Experimental Biology·Sean J BlamiresMichael M Kasumovic
Aug 22, 2020·Circulation Research·Senka Ljubojevic-HolzerDonald M Bers
Jul 1, 1983·Multivariate Behavioral Research·A Cohen, D Ridelman
Feb 9, 2018·Communications in Statistics: Theory and Methods·Fanyin HeCharles F Reynolds
Oct 8, 2019·Toxicology Research·Wenlong XiaoKeyu Zhang
Mar 25, 2021·Microbial Ecology·Amanda Barreto CamposPedro Milet Meirelles

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