hcf.circaov: Analysis of variance for circular data

In Directional: A Collection of Functions for Directional Data Analysis

Analysis of variance for circular data

Description

Analysis of variance for circular data.

Usage

hcf.circaov(u, ina, rads = FALSE)
hclr.circaov(u, ina, rads = FALSE)
lr.circaov(u, ina, rads = FALSE)
het.circaov(u, ina, rads = FALSE)
embed.circaov(u, ina, rads = FALSE)

Arguments

u	A numeric vector containing the data.
ina	A numerical or factor variable indicating the group of each value.
rads	If the data are in radians, this should be TRUE and FALSE otherwise.

Details

The high concentration (hcf.circaov), high concentration likelihood ratio (hclr.aov), log-likelihood ratio (lr.circaov), embedding approach (embed.circaov) or the non equal concentration parameters approach (het.circaov) is used.

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] and Giorgos Athineou <[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.

Tsagris M. and Alenazi A. (2024). An investigation of hypothesis testing procedures for circular and spherical mean vectors. Communications in Statistics-Simulation and Computation, 53(3): 1387–1408.

See Also

hclr.aov, hcfcirc.boot, hcfcircboot

Examples

x <- rvonmises(100, 2.4, 15)
ina <- rep(1:4,each = 25)
hcf.circaov(x, ina, rads = TRUE)
lr.circaov(x, ina, rads = TRUE)
het.circaov(x, ina, rads = TRUE)
embed.circaov(x, ina, rads = TRUE)
hclr.circaov(x, ina, rads = TRUE)

Directional documentation built on Oct. 30, 2024, 9:15 a.m.