# hcf.aov: Analysis of variance for (hyper-)spherical data In Directional: A Collection of Functions for Directional Data Analysis

 Anova for (hyper-)spherical data R Documentation

## Analysis of variance for (hyper-)spherical data

### Description

Analysis of variance for (hyper-)spherical data.

### Usage

``````hcf.aov(x, ina, fc = TRUE)
hclr.aov(x, ina)
lr.aov(x, ina)
embed.aov(x, ina)
het.aov(x, ina)
``````

### Arguments

 `x` A matrix with the data in Euclidean coordinates, i.e. unit vectors. `ina` A numerical variable or a factor indicating the group of each vector. `fc` A boolean that indicates whether a corrected F test should be used or not.

### Details

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

### Value

This is an "htest"class object. Thus it returns a list including:

 `statistic` The test statistic value. `parameter` The degree(s) of freedom of the test. `p.value` The p-value of the test. `alternative` A character with the alternative hypothesis. `method` A character with the test used. `data.name` A character vector with two elements.

### 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.

Rumcheva P. and Presnell B. (2017). An improved test of equality of mean directions for the Langevin-von Mises-Fisher distribution. Australian & New Zealand Journal of Statistics, 59(1): 119–135.

Tsagris M. and Alenazi A. (2022). An investigation of hypothesis testing procedures for circular and spherical mean vectors. Communications in Statistics-Simulation and Computation (Accepted for publication).

```hcf.boot, hcfboot, hclr.circaov, ```

### Examples

``````x <- rvmf(60, rnorm(3), 15)
ina <- rep(1:3, each = 20)
hcf.aov(x, ina)
hcf.aov(x, ina, fc = FALSE)
lr.aov(x, ina)
embed.aov(x, ina)
het.aov(x, ina)
``````

Directional documentation built on Oct. 12, 2023, 1:07 a.m.