# meandir.test: Test for a given mean direction In Directional: A Collection of Functions for Directional Data Analysis

## Description

A log-likelihood ratio test for testing whether the sample mena direction is equal to some predefined one.

## Usage

 `1` ```meandir.test(x, mu, B = 999) ```

## Arguments

 `x` A matrix with the data, unit vectors. `mu` A unit vector with the hypothesized mean direction. `B` A number either 1, so no bootstrap calibration is performed or more than 1, so bootstrap calibration is performed.

## Details

The log-likelihood ratio test is performed.

## Value

A list including:

 `mean.dir` The sample mean direction `pvalue` The p-value of the test.

## Author(s)

Michail Tsagris.

R implementation and documentation: Michail Tsagris mtsagris@uoc.gr and Giorgos Athineou <gioathineou@gmail.com>.

## References

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

```vmf.mle, kent.mle, rayleigh ```

## Examples

 ```1 2 3 4 5``` ```mu <- rnorm(5) mu <- mu / sqrt( sum(mu^2) ) x <- rvmf(100, mu, 10) meandir.test(x, mu, 1) meandir.test(x, mu, 499) ```

### Example output

```\$mean.dir
 -0.28847518 -0.76989934 -0.50762972 -0.24292473  0.08565465

\$pvalue
 0.8024124

\$mean.dir
 -0.28847518 -0.76989934 -0.50762972 -0.24292473  0.08565465

\$pvalue
 0.796
```

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