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A two-level directional model for dependence in circular data

Holmquist, Björn LU 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
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
2018-01-16 13:25:51
@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},
  keyword      = {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},
  volume       = {45},
  year         = {2017},
}