Logo Utrecht University

Circular Data Modelling


This page contains three introductory tutorials for circular data modelling in R. No prior knowledge on circular data is assumed on the part of the reader, but a basic understanding of using R console commands is. For those new to R it is recommended to follow an introductory guide to R, such as Braun and Murdoch (2007).

To access a tutorial simply click on the corresponding image below and a pdf file will open. This file can be saved to one’s computer or viewed in a modern webbrowser. Tutorials do not have to be followed in order.



We also developed software for statistical models often encountered in social and behaivioural sciences (with circular outcome). Two packages are currently available on CRAN:

Both packages use Bayesian methods. These packages should be easy to use for anyone able to work with R and include a reference manual and example data sets. For bpnreg an additional tutorial is available in Frontiers in Psychology.

More R packages for circualr data are developed (or under development) and can be found on the GitHub page of Kees Mulder.


Braun W. J. and Murdoch, D. J. (2007). A First Course in Statistical Programming with R. Cambridge: Cambridge University Press