Directional (version 4.0)

Spherical-spherical correlation: 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.

Value

A vector including:

R-squared

The value of the squared correlation.

p-value

The p-value of the no correlation hypothesis testing.

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.

References

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

See Also

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

Examples

# NOT RUN {
x <- rvmf(100, rnorm(3), 10)
y <- rvmf(100, rnorm(3), 10)
spher.cor(x, y)
# }