Details:

Alternative Title:
Aust N Z J Stat
Personal Author:
Rumcheva, Pavlina ; Presnell, Brett
Rumcheva, Pavlina ; Presnell, Brett Less -
Description:
A multi-sample test for equality of mean directions is developed for populations having Langevin-von Mises-Fisher distributions with a common unknown concentration. The proposed test statistic is a monotone transformation of the likelihood ratio. The high-concentration asymptotic null distribution of the test statistic is derived. In contrast to previously suggested high-concentration tests, the high-concentration asymptotic approximation to the null distribution of the proposed test statistic is also valid for large sample sizes with any fixed nonzero concentration parameter. Simulations of size and power show that the proposed test outperforms competing tests. An example with three-dimensional data from an anthropological study illustrates the practical application of the testing procedure.
Subject:
[+]
Article
Directional Data
High-concentration Asymptotic Distribution
Likelihood Ratio
Mean Resultant Length

Source:
Aust N Z J Stat. 59(1):119-135.
Pubmed ID:
29643741
Pubmed Central ID:
PMC5890534
Document Type:
Journal Article
Funding:
CC999999/Intramural CDC HHS/United States
Collection(s):
CDC Public Access
Main Document Checksum:
[+]
urn:sha256:5ef625f0da48bd52eb4419000c70e25897ae77f8b54d2cd3d5e5147b3ab4f42a
File Type:

Supporting Files

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