# circ.cors1: Circular correlations between two circular variables In Directional: A Collection of R Functions for Directional Data Analysis

## Description

Circular correlations between two circular variables.

## Usage

 `1` ```circ.cors1(theta, phi) ```

## 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.

## Details

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

## Value

A matrix with two columns, the correlations 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 ```

## Examples

 ```1 2 3``` ```y <- runif(50, 0, 2 * pi) x <- matrix(runif(50 * 10, 0, 2 * pi), ncol = 10) circ.cors1(y, x) ```

### Example output

```sh: 1: wc: Permission denied
Warning messages:
1: In rgl.init(initValue, onlyNULL) : RGL: unable to open X11 display
2: 'rgl.init' failed, running with 'rgl.useNULL = TRUE'.
rho    p-value
[1,]  0.06605969 0.64769016
[2,]  0.07504598 0.59025511
[3,]  0.02781125 0.84561087
[4,]  0.11678500 0.41305020
[5,]  0.22185803 0.11512540
[6,]  0.05614943 0.67318732
[7,]  0.03905839 0.78645506
[8,]  0.28363588 0.03841392
[9,]  0.03556277 0.78816992
[10,] -0.15417385 0.26429876
```

Directional documentation built on May 26, 2021, 5:07 p.m.