R: Rao's Spacing Test of Uniformity

rao.spacing.test {circular} | R Documentation

## Rao's Spacing Test of Uniformity

### Description

Performs Rao's spacing test of uniformity.

### Usage

    rao.spacing.test(x, alpha=0)
    ## S3 method for class 'rao.spacing.test'
    print(x, digits = 4, ...)

### Arguments

`x` | a vector. The object is coerced to class `circular`.
`alpha` | numeric value specifying the significance level of the test. The default value is 0, in which case, a range for the p-value will be returned. Valid significance levels are 0.10, 0.05, 0.01 and 0.001.
`digits` | integer indicating the precision to be used.
`...` | further arguments passed to or from other methods.

### Details

If alpha is specified, critical values are determined (using the `print` function) from a table of simulated critical points (see reference below); in this case the `print` function return a further value `accepted` which is `TRUE` if the null hypothesis is accepted and `FALSE` otherwise. If alpha is not specified, a range for the p-value is determined using the table of simulated critical points in the `print` function but not reported.

### Value

a list with the statistic, alpha and the number of observations.

### Author(s)

Claudio Agostinelli and Ulric Lund

### References

Jammalamadaka, S. Rao and SenGupta, A. (2001). Topics in Circular Statistics, Section 7.4, World Scientific Press, Singapore.

Rao, J.S. (1976). Some tests based on arc-lengths for the circle. Sankhya, The Indian Journal of Statistics, Serial B(4), 38, 329-338.

Russell, G.S. and Levitin, D.J. (1995). An expanded table of probability values for Rao's Spacing Test. Communications in Statistics - Simulation and Computation, 24, 4, 879-888.

### See Also

`range.circular`, `kuiper.test`, `rayleigh.test` and `watson.test`

### Examples

    x <- circular(runif(200, 0, 2*pi))
    rao.spacing.test(x)

    res <- print(rao.spacing.test(x, alpha=0.1))
    res$accepted

    x <- rvonmises(100, circular(0), 20)
    rao.spacing.test(x)

[Package circular version 0.4-93 Index]