R: Rayleigh Test of Uniformity

rayleigh.test {circular} | R Documentation

## Rayleigh Test of Uniformity

### Description

Performs a Rayleigh test of uniformity, assessing the significance of the mean resultant length. The alternative hypothesis is a unimodal distribution with unknown mean direction and unknown mean resultant length if `mu` is `NULL` otherwise the alternative hypothesis is a unimodal distribution with a specified mean direction and unknown mean resultant length.

### Usage

    rayleigh.test(x, mu = NULL)
    ## S3 method for class 'rayleigh.test'
    print(x, digits=4, ...)

### Arguments

`x` | a vector. The object is coerced to class `circular`.
`mu` | Specified mean direction in alternative hypothesis as a `circular` object.
`digits` | integer indicating the precision to be used.
`...` | further arguments passed to or from other methods.

### Value

Returns a list with three components: the mean resultant length, `statistic`, the p-value of the test statistic, `p.value` and the value of the alternative mean direction `mu`.

### Author(s)

Claudio Agostinelli and Ulric Lund

### References

Jammalamadaka, S. Rao and SenGupta, A. (2001). Topics in Circular Statistics, Sections 3.3.2 and 3.4.1, World Scientific Press, Singapore.

### See Also

`range.circular`, `kuiper.test`, `rao.spacing.test` and `watson.test`

### Examples

    x <- rvonmises(n=25, mu=circular(pi), kappa=2)
    # General alternative
    rayleigh.test(x)
    # Specified alternative
    rayleigh.test(x, mu=circular(0))

[Package circular version 0.4-93 Index]