Version 1
: Received: 27 November 2023 / Approved: 28 November 2023 / Online: 28 November 2023 (07:07:47 CET)
Version 2
: Received: 13 December 2023 / Approved: 14 December 2023 / Online: 14 December 2023 (09:02:23 CET)
How to cite:
Novoselsky, A.; Kagan, E. A Distance Based Two-Sample Test of Means Difference for Multivariate Datasets. Preprints2023, 2023111732. https://doi.org/10.20944/preprints202311.1732.v2
Novoselsky, A.; Kagan, E. A Distance Based Two-Sample Test of Means Difference for Multivariate Datasets. Preprints 2023, 2023111732. https://doi.org/10.20944/preprints202311.1732.v2
Novoselsky, A.; Kagan, E. A Distance Based Two-Sample Test of Means Difference for Multivariate Datasets. Preprints2023, 2023111732. https://doi.org/10.20944/preprints202311.1732.v2
APA Style
Novoselsky, A., & Kagan, E. (2023). A Distance Based Two-Sample Test of Means Difference for Multivariate Datasets. Preprints. https://doi.org/10.20944/preprints202311.1732.v2
Chicago/Turabian Style
Novoselsky, A. and Eugene Kagan. 2023 "A Distance Based Two-Sample Test of Means Difference for Multivariate Datasets" Preprints. https://doi.org/10.20944/preprints202311.1732.v2
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
Subject
Computer Science and Mathematics, Probability and Statistics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Received:
14 December 2023
Commenter:
Eugene Kagan
Commenter's Conflict of Interests:
Author
Comment:
Clarification about the spreading parameters of the samples was added (see section 2, the last sentence of the second paragraph and section 5, the furst paragraph after the algorithm).
Commenter: Eugene Kagan
Commenter's Conflict of Interests: Author