Resampling methods in ANOVA for data from the von Mises-Fisher distribution

• Type: Article in International Scientific Journal
• Date: 2023-10-03

Authors

Adelaide Figueiredo (Author) FEP

Journal

Title: Communications in Statistics Part B: Simulation and Computation

Vol. 52 No. 10

Pages: 4999-5013

ISSN: 0361-0918

Publisher: Taylor & Francis

Indexing

ISI Web of Knowledge - 2 Citations

Scopus - 2 Citations

Other information

Authenticus ID: P-00V-DSM

DOI: 10.1080/03610918.2021.1976796

Abstract (EN): An important problem in directional statistics is to test the null hypothesis of a common mean direction for several populations. The Analysis of Variance (ANOVA) test for vectorial data may be used to test the hypothesis of the equality of the mean directions for several von Mises-Fisher populations. As this test is valid only for large concentrations, we propose in this paper to apply the resampling techniques of bootstrap and permutation to the ANOVA test. We carried out an extensive simulation study in order to evaluate the performance of the ANOVA test with the resampling techniques, for several sphere dimensions and different sample sizes and we compare with the usual ANOVA test for data from von Mises-Fisher populations. The purpose of this simulation study is also to investigate whether the proposed tests are preferable to the ANOVA test, for low concentrations and small samples. Finally, we present an example with spherical data.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 15