hcf.circaov: Analysis of variance for circular data In Directional: Directional Statistics

Description

Analysis of variance for circular data.

Usage

 ```1 2 3 4 5 6 7``` ```hcf.circaov(u, ina, rads = FALSE) lr.circaov(u, ina, rads = FALSE) het.circaov(u, ina, rads = FALSE) embed.circaov(u, ina, rads = FALSE) ```

Arguments

 `u` A numeric vector containing the data. `ina` A numerical or factor variable indicating the group of each value. `rads` If the data are in radians, this should be TRUE and FALSE otherwise.

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. `kappa` 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 <[email protected]> and Giorgos Athineou <[email protected]>

References

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

```conc.test, hcf.aov, lr.aov, het.aov, embed.aov ```
 ```1 2 3 4 5 6``` ```x <- rvonmises(100, 2.4, 15) ina <- rep(1:4,each = 25) hcf.circaov(x, ina, rads = TRUE) lr.circaov(x, ina, rads = TRUE) het.circaov(x, ina, rads = TRUE) embed.circaov(x, ina, rads = TRUE) ```