Computes the spherical median of a data set on the circle.
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P |
The data as a vector, a matrix, a data frame or a list. |
sort |
Logical; TRUE indicates that the data in |
depths |
For Tukey's method only; An optionnal vector of the same length as P that contains the Tukey depth of each data. The calculation of the depth is then skipped and the provided values are used instead. |
alpha |
For Tukey's method only; |
method |
Character string which determines the depth function used. |
tracecontour |
Only if |
tracepoints |
Only if |
Calculates shperical medians for data on the circle only. The input must be a list of angles in radians between 0 and 2π (polar coordinates). If method="Tukey"
, the Tukey median is returned. If method="Circular"
, the circular median (the point minimizing the average distance based on arccosine) is returned.
A numeric value between 0 and 2π giving the median in polar coordinate.
Maxime Genest.
Liu, R.Y., Parelius, J.M. and Singh, K. (1999), Multivariate analysis by data depth: Descriptive statistics, graphics and inference (with discussion), Ann. Statist., 27, 783–858.
Mardia, K.V. and Jupp, E.J. (1999). Directional Statistics, Wiley.
sdepth
for calculation of the depth of a point, scontour
for Tukey's spherical median.
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