# hcfcirc.perm: Permutation based 2-sample mean test for circular data In Directional: A Collection of Functions for Directional Data Analysis

## Description

Permutation based 2-sample mean test for circular data.

## Usage

 ```1 2 3 4 5``` ```hcfcirc.perm(u1, u2, rads = TRUE, B = 999) hetcirc.perm(u1, u2, rads = TRUE, B = 999) lrcirc.perm(u1, u2, rads = TRUE, B = 999) hclrcirc.perm(u1, u2, rads = TRUE, B = 999) embedcirc.perm(u1, u2, rads = TRUE, B = 999) ```

## Arguments

 `u1` A numeric vector containing the data of the first sample. `u2` A numeric vector containing the data of the first sample. `rads` If the data are in radians, this should be TRUE and FALSE otherwise. `B` The number of permutations to perform.

## Details

The high concentration (hcfcirc.perm), log-likelihood ratio (lrcirc.perm), high concentration log-likelihood ratio (hclrcirc.perm), embedding approach (embedcirc.perm) or the non equal concentration parameters approach (hetcirc.perm) is used.

## Value

A vector including:

 `test` The value of the test statistic. `p-value` The p-value of the test. `kappa` The concentration parameter based on all the data. If the het.circaov is used this argument is not returned.

## Author(s)

Michail Tsagris.

R implementation and documentation: Michail Tsagris mtsagris@uoc.gr.

## References

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

Rumcheva P. and Presnell B. (2017). An improved test of equality of mean directions for the Langevin-von Mises-Fisher distribution. Australian & New Zealand Journal of Statistics, 59(1), 119-135.

```hcf.circaov, het.aov ```
 ```1 2 3 4``` ```u1 <- rvonmises(20, 2.4, 5) u2 <- rvonmises(20, 2.4, 10) hcfcirc.perm(u1, u2) lrcirc.perm(u1, u2) ```