# circ.cor1: Circular correlations between two circular variables In Directional: A Collection of Functions for Directional Data Analysis

 Circular correlations between two circular variables R Documentation

## Circular correlations between two circular variables

### Description

Circular correlations between two circular variables.

### Usage

```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@uoc.gr and Giorgos Athineou <gioathineou@gmail.com>

### 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.

``` circlin.cor, circ.cor2, spml.reg ```

### Examples

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

Directional documentation built on Sept. 22, 2022, 9:06 a.m.