meandir.test: Test for a given mean direction

In Directional: A Collection of Functions for Directional Data Analysis

Test for a given mean direction

Description

A log-likelihood ratio test for testing whether the sample mena direction is equal to some predefined one.

Usage

meandir.test(x, mu, B = 999)

Arguments

x	A matrix with the data, unit vectors.
mu	A unit vector with the hypothesized mean direction.
B	A number either 1, so no bootstrap calibration is performed or more than 1, so bootstrap calibration is performed.

Details

The log-likelihood ratio test is employed.

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. If bootstrap was employed 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] and Giorgos Athineou <[e-mail]>.

References

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

See Also

vmf.mle, kent.mle, rayleigh

Examples

mu <- rnorm(5)
mu <- mu / sqrt( sum(mu^2) )
x <- rvmf(100, mu, 10)
meandir.test(x, mu, 1)
meandir.test(x, mu, 499)

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