# hcf.circaov: Analysis of variance for circular data In Rfast2: A Collection of Efficient and Extremely Fast R Functions II

 Anova for circular data R Documentation

## Analysis of variance for circular data

### Description

Analysis of variance for circular data.

### Usage

``````hcf.circaov(u, ina)

lr.circaov(u, ina)

het.circaov(u, ina)

embed.circaov(u, ina)
``````

### Arguments

 `u` A numeric vector containing the data that are expressed in rads. `ina` A numerical or factor variable indicating the group of each value.

### Details

The high concentration (hcf.circaov), log-likelihood ratio (lr.circaov), embedding approach (embed.circaov) or the non equal concentration parameters approach (het.circaov) is used.

### Value

A vector including:

 `test` The value of the test statistic. `p-value` The p-value of the test. `kapa` The concentration parameter based on all the data. If the het.circaov is used this argument is not returned.

### 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.

```multivm.mle, vm.nb ```

### Examples

``````x <- rnorm(60, 2.3, 0.3)
ina <- rep(1:3,each = 20)
hcf.circaov(x, ina)
lr.circaov(x, ina)
het.circaov(x, ina)
embed.circaov(x, ina)
``````

Rfast2 documentation built on May 29, 2024, 8:45 a.m.