A distance based two-sample test of means difference for multivariate datasets

Alexander Novoselsky and Eugene Kagan ()
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Alexander Novoselsky: Weizmann Institute of Science
Eugene Kagan: Ariel University

Statistical Papers, 2024, vol. 65, issue 8, No 3, 4874 pages

Abstract: Abstract In the paper we present a new test for comparison of the means of multivariate samples with unknown distributions. The test is based on the comparison of the distributions of the distances between the samples’ elements and their means using univariate two-sample Kolmogorov–Smirnov test. The activity of the suggested method is illustrated by numerical analysis of the real-world and simulated data.

Keywords: Multivariate two sample problem; Multivariate means test; Distance-based statistic; Two-sample Kolmogorov–Smirnov test; 62H15—Hypothesis; testing; in; multivariate; analysis (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s00362-024-01576-8

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