Riemann (version 0.1.4)

sphere.utest: Test of Uniformity on Sphere

Description

Given \(N\) observations \(\lbrace X_1, X_2, \ldots, X_M \brace\) on \(\mathcal{S}^{p-1}\), it tests whether the data is distributed uniformly on the sphere.

Usage

sphere.utest(spobj, method = c("Rayleigh", "RayleighM"))

Arguments

spobj

a S3 "riemdata" class for \(N\) Sphere-valued data.

method

(case-insensitive) name of the test method containing

"Rayleigh"

original Rayleigh statistic.

"RayleighM"

modified Rayleigh statistic with better order of error.

Value

a (list) object of S3 class htest containing:

statistic

a test statistic.

p.value

\(p\)-value under \(H_0\).

alternative

alternative hypothesis.

method

name of the test.

data.name

name(s) of provided sample data.

References

chikuse_statistics_2003Riemann

mardia_directional_1999Riemann

See Also

wrap.sphere

Examples

# NOT RUN {
#-------------------------------------------------------------------
#   Compare Rayleigh's original and modified versions of the test
#-------------------------------------------------------------------
#  Data Generation
myobj = sphere.runif(n=100, p=5, type="riemdata")

#  Compare 2 versions : Original vs Modified Rayleigh
sphere.utest(myobj, method="rayleigh")
sphere.utest(myobj, method="rayleighm")


# }