R: Mean Resultant Length

rho.circular {circular} | R Documentation

## 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

`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)

[Package circular version 0.4-93 Index]