circular (version 0.5-1)

mean.circular: Mean Direction

Description

Returns the mean direction of a vector of circular data.

Usage

# S3 method for circular
mean(x, na.rm=FALSE, control.circular=list(), ...)

Value

Returns the mean direction of the data as an object of class circular with the attribute given by control.circular or from x if missed in control.circular.

Arguments

x

a vector. The object is coerced to class circular.

na.rm

logical, indicating if NA's should be omitted.

control.circular

the attribute of the resulting object.

...

further arguments passed to or from other methods.

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 direction of the resultant vector is returned. An NA is returned if the resultant length (see rho.circular) is less than .Machine

References

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

See Also

var.circular, summary.circular, mle.vonmises, rho.circular and .Machine.

Examples

# Compute the mean direction of a random sample of observations.
x <- circular(runif(50, circular(0), pi))
mean(x)