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

被引：2

作者：

Figueiredo, Adelaide ^{[1
,2
]}

机构：

[1] Univ Porto, Sch Econ & Management, Rua Dr Roberto Frias, P-4200464 Porto, Portugal

[2] INESC TEC Porto, LIAAD, Rua Dr Roberto Frias, P-4200464 Porto, Portugal

来源：

COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION | 2023年 / 52卷 / 10期

关键词：

Bootstrap; Directional data; Hypersphere; Monte Carlo methods; Permutation test; Simulation; CONFIDENCE-REGIONS; PERMUTATION TESTS; MULTISAMPLE TESTS; BOOTSTRAP METHODS;

D O I：

10.1080/03610918.2021.1976796

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

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.

引用

页码：4999 / 5013

页数：15

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