- Basic statistics
- circular mean,
- length of mean vector (r),
- median angle
- circular variance, standard deviation and standard error
- 95% and 99% confidence interval for the mean vector.
- mean weighted by linear variable, plus basic statistics for the linear variable itself
- means and mean vector lengths can be saved to a file for further second order analysis.
- One-sample tests
- Rayleigh’s test of uniformity
- Hotelling’s test for weighted data
- Moore’s modified Rayleigh test for weighted data
- Rao’s spacing test
- Chi-Squared
- V-Test
- Watson’s U²
- Kuiper’s.
The last two can be used for tests against both the uniform and von Mises distribution.
- Two-sample tests
- Watson-Wheeler F-test
- Chi-squared test
- Mardia-Watson-Wheeler test
- Watson’s U² test.
- Hotelling’s paired multisample test
- Moore’s paired multisample test (nonparametric)
- Multisample tests – The first three two-sample tests above can also be performed as multi-sample tests.
- Circular-circular and circular-linear correlations.
- Second order statistical analysis:
- Grand mean angle, length and confidence limits
- Hotelling’s one sample second order test
- Moore’s modified Rayleigh test for second order analyses
- Hotelling’s two sample second order test
- Mardia’s two sample second order test (nonparametric)
- Hotelling’s paired sample second order test
- Moore’s paired sample second order test (nonparametric)
- All analyses can be performed on subgroups of data as well as the whole data set.
