rao.spacing.test: Rao's Spacing Test of Uniformity

In circular: Circular Statistics

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)

Example output

Attaching package: 'circular'

The following objects are masked from 'package:stats':

    sd, var


       Rao's Spacing Test of Uniformity 
 
Test Statistic = 130.3379 
P-value > 0.10 
 

       Rao's Spacing Test of Uniformity 
 
Test Statistic = 130.3379 
Level 0.1 critical value = 140.06 
Do not reject null hypothesis of uniformity 

[1] TRUE

       Rao's Spacing Test of Uniformity 
 
Test Statistic = 297.8676 
P-value < 0.001 
 

circular documentation built on May 2, 2019, 4:42 p.m.