hcf.boot: Bootstrap 2-sample mean test for (hyper-)spherical data

In Directional: A Collection of Functions for Directional Data Analysis

Bootstrap 2-sample mean test for (hyper-)spherical data

Description

Bootstrap 2-sample mean test for (hyper-)spherical data.

Usage

hcf.boot(x1, x2, fc = TRUE, B = 999)
lr.boot(x1, x2, B = 999)
hclr.boot(x1, x2, B = 999)
embed.boot(x1, x2, B = 999)
het.boot(x1, x2, B = 999)

Arguments

x1	A matrix with the data in Euclidean coordinates, i.e. unit vectors.
x2	A matrix with the data in Euclidean coordinates, i.e. unit vectors.
fc	A boolean that indicates whether a corrected F test should be used or not.
B	The number of bootstraps to perform.

Details

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

Value

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

statistic	The test statistic value.
parameter	The degrees of freedom of the test. Since these are bootstrap based tests this is "NA".
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.

Tsagris M. and Alenazi A. (2022). An investigation of hypothesis testing procedures for circular and spherical mean vectors. Communications in Statistics-Simulation and Computation (Accepted for publication).

See Also

hcf.aov, hcf.perm, hcfboot

Examples

x <- rvmf(60, rnorm(3), 15)
ina <- rep(1:2, each = 30)
x1 <- x[ina == 1, ]
x2 <- x[ina == 2, ]
hcf.boot(x1, x2)
lr.boot(x1, x2)
het.boot(x1, x2)

Directional documentation built on Oct. 12, 2023, 1:07 a.m.