Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

A Distance Based One-Sample Test of Means Difference for Multivariate Datasets

Version 1 : Received: 7 September 2024 / Approved: 8 September 2024 / Online: 9 September 2024 (08:28:21 CEST)

How to cite: Novoselsky, A.; Kagan, E. A Distance Based One-Sample Test of Means Difference for Multivariate Datasets. Preprints 2024, 2024090613. https://doi.org/10.20944/preprints202409.0613.v1 Novoselsky, A.; Kagan, E. A Distance Based One-Sample Test of Means Difference for Multivariate Datasets. Preprints 2024, 2024090613. https://doi.org/10.20944/preprints202409.0613.v1

Abstract

In this note, we suggest a one-sample version of the recently proposed two-sample test for comparison of the means of multivariate samples. The test checks a hypothesis that the mean of multivariate sample is equal to a certain value with the alternative hypothesis that the mean does not equal to this value. The suggested test is illustrated by analysis of real-world and simulated data.

Keywords

multivariate one-sample problem; multivariate means test; distance-based statistic

Subject

Computer Science and Mathematics, Probability and Statistics

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