# rao.test: Rao's Tests for Homogeneity In circular: Circular Statistics

## Description

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

## Usage

 ```1 2 3``` ```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

 ```1 2 3 4``` ```x <- rvonmises(100, circular(0), kappa=10) y <- rvonmises(100, circular(0), kappa=10) rao.test(x, y) ```

circular documentation built on May 1, 2019, 7:57 p.m.