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
x
A matrix with the data in Euclidean coordinates, i.e. unit vectors.
ina
A numerical variable or a factor indicating the group of each vector.
fc
A boolean that indicates whether a corrected F test should be used or not.
Author
Michail Tsagris.
R implementation and documentation: Michail Tsagris mtsagris@uoc.gr
and Giorgos Athineou <gioathineou@gmail.com>.
Details
The high concentration (hcf.aov), high concentration log-likelihood ratio (hclr.aov),
log-likelihood ratio (lr.aov), embedding approach (embed.aov) or the non equal
concentration parameters approach (het.aov) is used.
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.