CircStat for Matlab
=======================
Toolbox for circular statistics with Matlab.
Authors: Philipp Berens
Email: philipp@bethgelab.org
Homepage: http://philippberens.wordpress.com/code/circstats/
Contributors:
Marc Velasco, Tal Krasovsky
Reference:
P. Berens, CircStat: A Matlab Toolbox for Circular Statistics, Journal of Statistical Software, Volume 31, Issue 10, 2009
http://www.jstatsoft.org/v31/i10
Please cite this paper when the provided code is used (not the technical report!). See licensing terms for details.
Contents:
circ_r Resultant vector length
circ_mean Mean direction of a sample of circular data
circ_axial Mean direction for axial data
circ_median Median direction of a sample of circular data
circ_std Dispersion around the mean direction (std, mardia)
circ_var Circular variance
circ_skewness Circular skewness
circ_kurtosis Circular kurtosis
circ_moment Circular pth moment
circ_dist Distances around a circle
circ_dist2 Pairwise distances around a circle
circ_confmean Confidence intervals for mean direction
circ_stats Summary statistics
circ_rtest Rayleigh's test for nonuniformity
circ_otest HodgesAjne test (omnibus test) for nonuniformity
circ_raotest Rao's spacing test for nonuniformity
circ_vtest VTest for nonuniformity with known mean direction
circ_medtest Test for median angle
circ_mtest Onesample test for specified mean direction
circ_wwtest Multisample test for equal means, onefactor ANOVA
circ_hktest Twofactor ANOVA
circ_ktest Test for equal concentration parameter
circ_symtest Test for symmetry around median angle
circ_kuipertest Test whether two distributions are identical (like KS test)
circ_corrcc Circularcircular correlation coefficient
circ_corrcl Circularlinear correlation coefficient
circ_kappa Compute concentration parameter of a vm distribution
circ_plot Visualization for circular data
circ_clust Simple clustering for circular data
circ_samplecdf Evaluate CDF of a sample of angles
rad2ang Convert radian to angular values
ang2rad Convert angular to radian values
All functions take arguments in radians (expect for ang2rad). For a detailed description of arguments and outputs consult the help text in the files.
Since 2010, most functions for descriptive statistics can be used in Matlab style matrix computations. As a last argument, add the dimension along which you want to average. This changes the behavior slightly from previous relaeses, in that input is not reshaped anymore into vector format. Per default, all computations are performed columnwise (along dimension 1).
References:
 E. Batschelet, Circular Statistics in Biology, Academic Press, 1981
 N.I. Fisher, Statistical analysis of circular data, Cambridge University Press, 1996
 S.R. Jammalamadaka et al., Topics in circular statistics, World Scientific, 2001
 J.H. Zar, Biostatistical Analysis, Prentice Hall, 1999
If you have suggestions, bugs or feature requests or want to contribute code, please email me.
