Summary statistics for circular data | R Documentation |

It produces a few summary measures for circular data.

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

`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. |

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.

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. |

Michail Tsagris.

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

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
```

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

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