median.circular {circular} | R Documentation |
Median Direction
Description
Sample median direction for a vector of circular data
Usage
## S3 method for class 'circular'
median(x, na.rm = FALSE, ...)
Arguments
x |
a vector. The object is coerced to class
|
na.rm |
logical, indicating if |
... |
NotYetUsed. |
Details
The Definition in equations 2.32 & 2.33 from N.I. Fisher's 'Statistical Analysis of Circular Data', Cambridge Univ. Press 1993. is implemented.
Since version 0.4-4, the algorithm (not the definition) for the
calculation of the median is changed. For a measure of spread associated to the circular median use function meandeviation
.
Value
A scalar with the circular median value.
The median is returned as an object of class circular
.
Author(s)
Claudio Agostinelli and Alessandro Gagliardi
References
N.I. Fisher (1993) Statistical Analysis of Circular Data, Cambridge University Press.
R.Y. Liu and K. Singh (1992) Ordering Directional Data: Concepts of Data Depth on Circles and Spheres, The Annals of Statistics, vol. 20, n. 3, 1468-1484.
See Also
meandeviation
, mean.circular
, var.circular
, summary.circular
, rho.circular
and medianHL.circular
.
Examples
# Compute the median direction of a random sample of observations.
x <- circular(runif(50, circular(0), pi))
median(x) #only the median is returned
meandeviation(x) #mean deviation is reported