Test for a given mean direction

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Description

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

Usage

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

Arguments

x

A matrix with the data, unit vectors.

mu

A (not necessarily 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 performed.

Value

A list including:

mean.dir

The sample mean direction

pvalue

The p-value of the test.

Author(s)

Michail Tsagris

R implementation and documentation: Michail Tsagris <mtsagris@yahoo.gr> and Giorgos Athineou <athineou@csd.uoc.gr>

References

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

See Also

vmf, kent.mle, rayleigh

Examples

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mu <- rnorm(5)
x <- rvmf(100, mu, 10)
meandir.test(x, mu, 1)
meandir.test(x, mu, 499)

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