spher.cor: Spherical-spherical correlation

In Directional: A Collection of Functions for Directional Data Analysis

Spherical-spherical correlation

Description

Correlation between two spherical variables.

Usage

spher.cor(x, y)

Arguments

x	A spherical variable. A matrix with thre columns, each row is a unit vector.
y	A spherical variable. A matrix with thre columns, each row is a unit vector.

Details

A very similar to the classical correlation is calcualted. In addition, a hypothesis test for no correlation is performed. Note, that this is a squared correlation actually, so negative values will never be returned.

Value

A vector including:

R-squared	The value of the squared correlation.
p-value	The p-value of the no correlation hypothesis testing.

Author(s)

Michail Tsagris.

R implementation and documentation: Michail Tsagris [e-mail] and Giorgos Athineou <[e-mail]>.

References

Kanti V. Mardia and Peter E. Jupp. Directional statistics, pg. 254–255.

See Also

spher.reg, vmf.mle, circ.cor1, circ.cor2

Examples

x <- rvmf(100, rnorm(3), 10)
y <- rvmf(100, rnorm(3), 10)
spher.cor(x, y)

Directional documentation built on Oct. 12, 2023, 1:07 a.m.