CircStat for Matlab
=======================
Toolbox for circular statistics with Matlab.
Authors: Philipp Berens & Marc J. Velasco
Email: berens@tuebingen.mpg.de
Homepage: http://www.kyb.tuebingen.mpg.de/~berens/circStat.html
Contributors:
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. 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 p-th 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 Hodges-Ajne test (omnibus test) for nonuniformity
circ_raotest Rao's spacing test for nonuniformity
circ_vtest V-Test for nonuniformity with known mean direction
circ_medtest Test for median angle
circ_mtest One-sample test for specified mean direction
circ_wwtest Multi-sample test for equal means, one-factor ANOVA
circ_hktest Two-factor 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 Circular-circular correlation coefficient
circ_corrcl Circular-linear 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). If you prefer to use the old functions, for now they are contained in the subdirectory 'old'.
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
The implementation follows in most cases 'Biostatistical Analysis' and all referenced equations and tables are taken from this book, if not otherwise noted. In some cases, the other books were preferred for implementation was more straightforward for solutions presented there.
If you have suggestions, bugs or feature requests or want to contribute code, please email us.
Disclaimer:
All functions in this toolbox were implemented with care and tested on the examples presented in 'Biostatistical Analysis' were possible. Nevertheless, they may contain errors or bugs, which may affect the outcome of your analysis. We do not take responsibility for any harm coming from using this toolbox, neither if it is caused by errors in the software nor if it is caused by its improper application. Please email us any bugs you find.
By Philipp Berens and Marc J. Velasco, 2009
berens@tuebingen.mpg.de , velasco@ccs.fau.edu - www.kyb.mpg.de/~berens/circStat.html
Distributed under Open Source BSD License
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jPCA_ForDistribution.zip (60个子文件)
reshapeSkew.m 3KB
NOTES.pdf 717KB
fromMarksLibraries
circle.m 418B
AxisMMC.m 10KB
blankFigure.m 263B
arrowMMC.m 2KB
printFigs.m 2KB
minusPi2Pi.m 66B
skewSymLSeval.m 2KB
skewSymRegress.m 4KB
Some key lines in matlab format.m 5KB
Basic jPCA plot.pdf 28KB
phaseSpace.m 15KB
rotationMovie.m 469B
CircStat2010d
circ_kappa.m 1KB
circ_corrcc.m 1KB
circ_rad2ang.m 289B
circ_axial.m 521B
circ_vmpar.m 907B
circ_vmrnd.m 2KB
circ_dist.m 680B
circ_plot.m 4KB
circ_cmtest.m 2KB
circ_std.m 1KB
circ_vmpdf.m 1KB
circ_hktest.m 6KB
circ_vtest.m 2KB
circ_var.m 2KB
circ_mtest.m 2KB
circ_kurtosis.m 1KB
circ_stats.m 1KB
circ_mean.m 1KB
circ_clust.m 3KB
circ_wwtest.m 5KB
circ_median.m 1KB
circ_axialmean.m 903B
kuipertable.mat 1KB
circ_symtest.m 789B
circ_ang2rad.m 279B
circ_samplecdf.m 2KB
circ_confmean.m 2KB
circ_r.m 2KB
circ_kuipertest.m 3KB
circ_otest.m 2KB
circ_skewness.m 1KB
circ_rtest.m 2KB
circ_ktest.m 1KB
circ_medtest.m 918B
circ_raotest.m 4KB
license.txt 2KB
circ_dist2.m 721B
circ_moment.m 2KB
readme.txt 4KB
circ_corrcl.m 1KB
Contents.m 3KB
exampleData.mat 10.06MB
minimize.m 9KB
jPCA.m 22KB
rotate2jPCA.m 578B
phaseMovie.m 6KB
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