Directional (version 7.7)

Two sample location test for circular data under the GCPC distribution: Two sample location test for circular data under the GCPC distribution.

Description

Two sample location test for circular data under the GCPC distribution.

Usage

gcpc.means.test(u1, u2, rads = FALSE)

Value

This is an "htest"class object. Thus it returns a list including:

statistic

The test statistic value.

parameter

The degree(s) of freedom of the test.

p.value

The p-value of the test.

alternative

A character with the alternative hypothesis.

method

A character with the test used.

data.name

A character vector with two elements.

Arguments

u1

A numeric vector containing circular data for the first sample.

u2

A numeric vector containing circular data for the second sample.

rads

If the data are in radians, this should be TRUE and FALSE otherwise.

Author

Michail Tsagris.

R implementation and documentation: Michail Tsagris .

Details

The log-likelihood ratio test compares the location parameter of two independent samples, assuming that both samples are drawn from populations that follow the GCPC distribution.

References

Mardia, K. V. and Jupp, P. E. (2000). Directional statistics. Chicester: John Wiley & Sons.

Rumcheva P. and Presnell B. (2017). An improved test of equality of mean directions for the Langevin-von Mises-Fisher distribution. Australian & New Zealand Journal of Statistics, 59(1): 119--135.

Alzeley O. and Tsagris M. (2026). On the generalized circular projected Cauchy distribution. Mathematics, 14(11): 1934. https://www.mdpi.com/2227-7390/14/11/1934

See Also

hcf.circaov, spcauchy2test

Examples

u1 <- rgcpc(50, omega = 2, g = 5, rho = 0.5, rads = TRUE)
u2 <- rgcpc(50, omega = 2, g = 10, rho = 5, rads = TRUE)
gcpc.means.test(u1, u2, rads = TRUE)