rao.test: Rao's Tests for Homogeneity

In circular: Circular Statistics

Rao's Tests for Homogeneity

Description

Performs Rao's test for homogeneity on k populations of angular data.

Usage

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

Arguments

...	a sequence of circular for the rao.test and further arguments passed to or from other methods for the print.rao.test function.
alpha	numeric value specifying the significance level of the test. Default is 0, in which case p-values for the test statistic is printed.
x	an object from the rao.test.
digits	integer indicating the precision to be used.

Details

Critical values and p-values are determined according to the chi-squared approximation of the test statistic.

Value

A list with the statistic and p.value for the mean and the dispersion and the value of alpha.

Note

The test is performed, and the results are written to the screen. Test results are given for both the test of equality of polar vectors, and of dispersions. If alpha is specified, the test statistic is printed, along with the level critical value. If alpha is not specified, a p-value for the test is printed.

Author(s)

Claudio Agostinelli and Ulric Lund

References

Jammalamadaka, S. Rao and SenGupta, A. (2001). Topics in Circular Statistics, Section 7.6.1, World Scientific Press, Singapore.

Rao, J.S. (1967). Large sample tests for the homogeneity of angular data, Sankhya, Ser, B., 28.

Examples

x <- rvonmises(100, circular(0), kappa=10)
y <- rvonmises(100, circular(0), kappa=10)

rao.test(x, y)

circular documentation built on Sept. 11, 2024, 8:21 p.m.