# kuiper: Uniformity tests for circular data. In Directional: A Collection of Functions for Directional Data Analysis

 Uniformity test for circular data R Documentation

## Uniformity tests for circular data.

### Description

Hypothesis tests of uniformity for circular data.

### Usage

``````kuiper(u, rads = FALSE, R = 1)
watson(u, rads = FALSE, R = 1)
``````

### Arguments

 `u` A numeric vector containing the circular data, which cna be expressed in degrees or radians. `rads` A boolean variable. If the data are in radians, put this TRUE. If the data are expressed in degrees make this FALSE. `R` If R = 1 the asymptotic p-value will be calcualted. If R is greater than 1 the bootstrap p-value is returned.

### 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

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

 `statistic` The test statistic value. `parameter` This is usually the degrees of freedom of the test, but here this is "NA" because the asymptotic based p-value is computed in a different way or because bootstrap was employed. `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

Jammalamadaka, S. Rao and SenGupta, A. (2001). Topics in Circular Statistics, pg. 153–55 (Kuiper's test) and pg. 156–157 (Watson's test).

```rayleigh, ptest, vmf.mle, rvonmises ```

### Examples

``````x <- rvonmises(n = 40, m = 2, k = 10)
x <- rvonmises(40, m = 2, k = 0)
``````

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