median.circular: Median Direction

In circular: Circular Statistics

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 circular.
na.rm	logical, indicating if NA's should be omitted.
...	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

Example output

Attaching package: 'circular'

The following objects are masked from 'package:stats':

    sd, var

Circular Data: 
Type = angles 
Units = radians 
Template = none 
Modulo = asis 
Zero = 0 
Rotation = counter 
[1] 1.553176
attr(,"medians")
[1] 1.487969 1.618383
[1] 0.7243575

circular documentation built on May 2, 2019, 4:42 p.m.