A two-level directional model for dependence in circular data

Research output: Contribution to journalArticle


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


Research areas and keywords

Subject classification (UKÄ) – MANDATORY

  • Probability Theory and Statistics


  • Circular distribution, MSC 2010: Primary 62H11, second order analysis, secondary 62H15, two-level analysis, von Mises distribution
Original languageEnglish
Pages (from-to)461-478
Number of pages18
JournalCanadian Journal of Statistics
Issue number4
Publication statusPublished - 2017 Dec 1
Publication categoryResearch