Circurlar correlations between two circular variables

Description

Circurlar correlations between two circular variables.

Usage

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circ.cor1(theta, phi, rads = FALSE)

circ.cor2(theta, phi, rads = FALSE)

Arguments

theta

The first cirular variable.

phi

The other cirular variable.

rads

If the data are expressed in rads, then this should be TRUE. If the data are in degrees, then this is FALSE.

Details

circ.cor1: Correlation for circular variables using the cosinus and sinus formula of Jammaladaka and SenGupta (1988).

circ.cor2: Correlation for circular variables using the cosinus and sinus formula of Mardia and Jupp (2000).

Value

A vector including:

rho

The value of the correlation coefficient.

p-value

The p-value of the zero correlation hypothesis testing.

Author(s)

Michail Tsagris

R implementation and documentation: Michail Tsagris <mtsagris@yahoo.gr> and Giorgos Athineou <athineou@csd.uoc.gr>

References

Jammalamadaka, R. S. and Sengupta, A. (2001). Topics in circular statistics. World Scientific.

Jammalamadaka, S. R. and Sarma, Y. R. (1988) . A correlation coefficient for angular variables. Statistical Theory and Data Analysis, 2:349–364.

Mardia, K. V. and Jupp, P. E. (2000). Directional statistics. Chicester: John Wiley & Sons.

See Also

circlin.cor, circ.cor2, spml.reg

Examples

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y <- runif(50, 0, 2 * pi)
x <- runif(50, 0, 2 * pi)
circ.cor1(x, y, rads = TRUE)
circ.cor2(x, y, rads = TRUE)

Questions? Problems? Suggestions? or email at ian@mutexlabs.com.

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