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rho.circular

Mean Resultant Length

Description

Returns the mean resultant length of a vector of circular data.

Usage

rho.circular(x, na.rm = FALSE)

Arguments

x

a vector. The object is coerced to class circular.
na.rm

logical, indicating if NA's should be omitted.

Details

Each observation is treated as a unit vector, or point on the unit circle. The resultant vector of the observations is found, and the length of the resultant vector divided by the sample size is returned.

Value

Returns the mean resultant length of data.

Author(s)

Claudio Agostinelli and Ulric Lund

References

Jammalamadaka, S. Rao and SenGupta, A. (2001). Topics in Circular Statistics, Section 1.3, World Scientific Press, Singapore.

See Also

Examples

# Compute the mean resultant length of a random sample of observations.
data <- circular(runif(100, 0, 2*pi))
rho.circular(data)
circular

Circular Statistics

v0.4-93
GPL-2
Authors
Ulric Lund <ulund@calpoly.edu> [aut], Claudio Agostinelli <claudio.agostinelli@unitn.it> [aut, cre], Hiroyoshi Arai <h_arai@aoni.waseda.jp> [ctb], Alessando Gagliardi <gagliardi@stud.unive.it> [ctb], Eduardo Garcia Portugues <edgarcia@est-econ.uc3m.es> [ctb], Dimitri Giunchi <dimitri.giunchi@unipi.it> [ctb], Jean-Olivier Irisson <irisson@normalesup.org> [ctb], Matthew Pocernich <pocernic@ucar.edu> [ctb], Federico Rotolo [ctb]
Initial release
2017-06-26

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