VecStatGraphs3D (version 1.6)

ConcentrationParameter3D: Calculation of concentration parameter of the angles.

Description

This function calculates the concentration parameter a set of input coordinates.

Usage

ConcentrationParameter3D(coord)

Arguments

coord

Matrix containing the values of the coordinates

Value

The concentration parameter all input coordinates.

Details

One way to get a set of coordinates X, Y and Z of the origin position and end position (coordinates X, Y and Z of the vector) or of the colatitude and longitude, it is using the LoadData3D function.

The concentration parameter measures the departure of the distribution from the uniform distribution. If this parameter tends to 0, the distribution converges to the uniform distribution, if it tends to infinity, the distribution is concentrated around the mean angle.

References

Fisher N.I. , Lewis T. , Embleton, B.J.J. (1987) Statistical analysis of spherical data. Cambridge. Cambridge University Press.

Website http://gim.unex.es/VecStatGraphs3D/

See Also

MeanModule3D, MeanDirection3D, SphericalStandardError3D, AllAngleStatistics.

Examples

   FileName<-system.file("data/XYZcoor.txt", package="VecStatGraphs3D")
   dat<-LoadData3D(FileName, Type=1)
   coordinates<-dat[,4:6]
   ConcentrationParameter3D(coordinates)