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

In Directional: A Collection of Functions for Directional Data Analysis

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)

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.

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.

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.

Author(s)

Michail Tsagris.

R implementation and documentation: Michail Tsagris [e-mail].

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. https://arxiv.org/abs/2603.04030.

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)

Directional documentation built on March 11, 2026, 9:08 a.m.