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A two-level directional model for dependence in circular data

Holmquist, Björn LU orcid and Gustafsson, Peter LU (2017) In Canadian Journal of Statistics 45(4). p.461-478
Abstract

We present a likelihood-based test for clustering among sub-population mean directions for circular data. The test is based on a two-level hierarchical model with von Mises distributed variation on each level. The properties of the tests are investigated and compared to the commonly applied techniques of second-order analysis and pseudo-pooling of directions for the situation at hand. Finally we apply the technique to some previously published data sets, to determine the presence of directional clustering among the sub-populations. The Canadian Journal of Statistics 45: 461–478; 2017

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author
and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Circular distribution, MSC 2010: Primary 62H11, second order analysis, secondary 62H15, two-level analysis, von Mises distribution
in
Canadian Journal of Statistics
volume
45
issue
4
pages
18 pages
publisher
Wiley-Blackwell
external identifiers
  • scopus:85033458019
  • wos:000415014100007
ISSN
0319-5724
DOI
10.1002/cjs.11345
language
English
LU publication?
yes
id
557f70a0-52f4-4081-8856-f0913788b700
date added to LUP
2017-11-20 08:23:56
date last changed
2024-03-18 00:47:46
@article{557f70a0-52f4-4081-8856-f0913788b700,
  abstract     = {{<p>We present a likelihood-based test for clustering among sub-population mean directions for circular data. The test is based on a two-level hierarchical model with von Mises distributed variation on each level. The properties of the tests are investigated and compared to the commonly applied techniques of second-order analysis and pseudo-pooling of directions for the situation at hand. Finally we apply the technique to some previously published data sets, to determine the presence of directional clustering among the sub-populations. The Canadian Journal of Statistics 45: 461–478; 2017</p>}},
  author       = {{Holmquist, Björn and Gustafsson, Peter}},
  issn         = {{0319-5724}},
  keywords     = {{Circular distribution; MSC 2010: Primary 62H11; second order analysis; secondary 62H15; two-level analysis; von Mises distribution}},
  language     = {{eng}},
  month        = {{12}},
  number       = {{4}},
  pages        = {{461--478}},
  publisher    = {{Wiley-Blackwell}},
  series       = {{Canadian Journal of Statistics}},
  title        = {{A two-level directional model for dependence in circular data}},
  url          = {{http://dx.doi.org/10.1002/cjs.11345}},
  doi          = {{10.1002/cjs.11345}},
  volume       = {{45}},
  year         = {{2017}},
}