# circ.summary: Summary statistics for circular data In Directional: A Collection of Functions for Directional Data Analysis

## Description

It produces a few summary measures for circular data.

## Usage

 `1` ```circ.summary(u, rads = FALSE, fast = FALSE, tol = 1e-07, plot = TRUE) ```

## Arguments

 `u` A vector with circular data. `rads` If the data are in rads, then this should be TRUE, otherwise FALSE. `fast` A boolean variable to do a faster implementation. `tol` The tolerance level to stop the Newton-Raphson algorithm for finding kappa. `plot` If you want to see the data plotted on a cicrle make this TRUE.

## Details

It returns the circular mean, mean resultant length, variance, standard deviation and concentration parameter. So, basically it returns the estimated values of the parameters of the von Mises distribution.

## Value

If fast = FALSE a list including all the following. If fast = TRUE less items are returned.

 `mesos` The circular mean direction. `confint` The 95% confidence interval for the circular mean direction. `kappa` The concentration parameter. `MRL` The mean resultant length. `circvariance` The circular variance. `circstd` The circular standard deviation. `loglik` The log-likelihood of the fitted von Mises distribution.

## 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.

```spml.mle, rvonmises, vm.kde, vmf.mle, group.vm, hcf.circaov ```

## Examples

 ```1 2``` ```x <- rvonmises(50, 2.5, 15, rads = TRUE) circ.summary(x, rads = TRUE, plot = TRUE) ```

### 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'.
\$mesos
 2.570327

\$confint
 2.568077 2.572576

\$kappa
 16.54734

\$MRL
 0.9692966

\$circvariance
 0.03070343

\$circstd
 0.2497385

\$loglik
 -1.584211
```

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