# summary.circular: Circular Summary Statistics In circular: Circular Statistics

## Description

Computes circular summary statistics including the sample size, mean direction and mean resultant length and quartiles.

## Usage

 ```1 2 3``` ```## S3 method for class 'circular' summary(object, digits = max(3, getOption("digits") - 3), ...) ```

## Arguments

 `object` an object of class `circular`. `digits` digits to be used in printing. `...` parameters passed to `summary.matrix` if needed.

## Details

Each observation is treated as a unit vector or a point on the unit circle. The resultant vector of the observations is found, and the direction of the resultant vector is returned as well as its length divided by the sample size.

## Value

Returns a vector with the sample size, the sample mean direction and the sample mean resultant length.

## Author(s)

Claudio Agostinelli, David Andel and Alessandro Gagliardi

## References

Jammalamadaka, S. Rao and SenGupta, A. (2001). Topics in Circular Statistics, Section 1.3, World Scientific Press, Singapore.

`mean.circular`, `median.circular`, `quantile.circular`, `var.circular`, `mle.vonmises`, `rho.circular`.

## Examples

 ```1 2 3 4``` ```# Compute summary statistics of a random sample of observations. data <- circular(runif(50, 0, pi)) summary(data) summary(data.frame(data, runif(50, 0, pi))) ```

### Example output

```Attaching package: 'circular'

The following objects are masked from 'package:stats':

sd, var

n    Min. 1st Qu.  Median    Mean 3rd Qu.    Max.     Rho
50.0000  0.1271  1.2010  1.7490  1.7780  2.4350  3.0880  0.6766
data         runif.50..0..pi.
n      :50.0000   Min.   :0.03042
Min.   : 0.1271   1st Qu.:0.61126
1st Qu.: 1.2006   Median :1.51161
Median : 1.7488   Mean   :1.52665
Mean   : 1.7775   3rd Qu.:2.24243
3rd Qu.: 2.4352   Max.   :3.10817
Max.   : 3.0878
Rho    : 0.6766
```

circular documentation built on May 1, 2019, 7:57 p.m.