# circ.cor1: Circurlar correlations between two circular variables In Rfast2: A Collection of Efficient and Extremely Fast R Functions II

## Description

Circurlar correlations between two circular variables.

## Usage

 ```1 2 3``` ```circ.cor1(theta, phi, pvalue = FALSE) circ.cors1(theta, phi, pvalue = FALSE) ```

## Arguments

 `theta` The first cirular variable expressed in radians, not degrees. `phi` The other cirular variable. In the case of "circ.cors1" this is a matrix with many circular variables. In either case, the values must be in radians, not degrees. `pvalue` If you want the p-value of the zero correlation hypothesis testing set this to TRUE, otherwise leave it FALSE.

## Details

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

## Value

If you set pvalue = TRUE, then for the "circ.cor1" a vector with two values, the correlation and its associated p-value, otherwise the correlation only. For the "circ.cors1", either a vector with the correlations only or a matrix with two columns, the correlation and the p-values.

## Author(s)

Michail Tsagris

R implementation and documentation: Michail Tsagris <mtsagris@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.

``` spml.reg ```
 ```1 2 3 4 5``` ```y <- runif(50, 0, 2 * pi) x <- runif(50, 0, 2 * pi) circ.cor1(y, x, TRUE) x <- matrix(runif(50 * 10, 0, 2 * pi), ncol = 10) circ.cors1(y, x, TRUE) ```