R: Hypothesis test for von Mises-Fisher distribution over Kent...

Hypothesis test for von Mises-Fisher distribution over Kent distribution {Rfast} | R Documentation

## Hypothesis test for von Mises-Fisher distribution over Kent distribution

### Description

The null hypothesis is whether a von Mises-Fisher distribution fits the data well, and the altenrative is that the Kent distribution is more suitable.

### Usage

    fish.kent(x, logged = FALSE)

### Arguments

`x` | A numeric matrix containing the data as unit vectors in Euclidean coordinates.
`logged` | If you want the logarithm of the p-value ot be returned set this to TRUE.

### Details

Essentially it is a test of rotational symmetry, whether Kent's ovalness parameter (beta) is equal to zero. This works for spherical data only.

### Value

A vector with two elements, the value of the test statistic and its associated p-value.

### Author(s)

Michail Tsagris

R implementation and documentation: Michail Tsagris <mtsagris@yahoo.gr>

### References

Rivest, L. P. (1986). Modified Kent's statistics for testing goodness of fit for the Fisher distribution in small concentrated samples. Statistics & probability letters, 4(1): 1-4.

### See Also

`vmf.mle, iag.mle`

### Examples

    x <- rvmf(100, rnorm(3), 15)
    res<-fish.kent(x)
    x <- NULL

[Package Rfast version 2.0.0 Index]