circular (version 0.5-0)

rho.circular: Mean Resultant Length

Description

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

Usage

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

Value

Returns the mean resultant length of data.

Arguments

x

a vector. The object is coerced to class circular.

na.rm

logical, indicating if NA's should be omitted.

Author

Claudio Agostinelli and Ulric Lund

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.

References

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

See Also

mean.circular, var.circular, summary.circular and mle.vonmises.

Examples

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