Directional (version 7.0)

Test for a given mean direction: 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)

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.

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.

Author

Michail Tsagris.

R implementation and documentation: Michail Tsagris and Giorgos Athineou <[e-mail]>.

Details

The log-likelihood ratio test is employed.

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)