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

## Description

Bootstrap 2-sample mean test for circular data.

## Usage

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

## Details

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

## Value

A vector including two or three numbers, the test statistic value, the bootstrap p-value of the test and the common concentration parameter kappa based on all the data.

## 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 ```

## Examples

 ```1 2 3``` ```u1 <- rvonmises(20, 2.4, 5) u2 <- rvonmises(20, 2.4, 10) hcfcirc.boot(u1, u2) ```

Directional documentation built on Nov. 8, 2021, 1:07 a.m.