Abstract
For testing that a distribution is invariant under the action of a finite group (e.g., the distribution is exchangeable) a most powerful test, against a specific alternative, among the class of tests invariant under a second, arbitrary group is obtained. After a class of permutation tests suitable for multivariate testing problems is described, application is made to a multivariate, nonparametric, two-sample problem.
Original language | English (US) |
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Pages (from-to) | 202-209 |
Number of pages | 8 |
Journal | Journal of Multivariate Analysis |
Volume | 42 |
Issue number | 2 |
DOIs | |
State | Published - Aug 1992 |
Externally published | Yes |
Keywords
- Hotelling's T
- hypothesis test
- multivariate test
- nonparametric test
ASJC Scopus subject areas
- Statistics and Probability
- Numerical Analysis
- Statistics, Probability and Uncertainty