Description Usage Arguments Value Background References Examples
View source: R/KoltchinskiiSakhanenko.R
Test for elliptical symmetry.
1  KoltchinskiiSakhanenko(X, R = 1000, nJobs = 1)

X 
A numeric matrix. 
R 
The number of bootstrap replicates. 
nJobs 
The number of CPU cores used for the calculation. The default value 1 indicates that all cores except one are used. 
An object of class "htest"
containing the following components:

The value of the test statistic. 

The pvalue of the test. 

A character string describing the alternative hypothesis. 

A character string indicating what type of test was performed. 
Koltchinskii and Sakhanenko (2000) proposed a class of omnibus bootstrap tests for elliptical symmetry that are affine invariant and consistent against any fixed alternative. This test is based on spherical harmonics.
Koltchinskii, V., & Sakhanenko, L., (2000). Testing for ellipsoidal symmetry of a multivariate distribution. High Dimensional Probability II, 493510, Springer.
Sakhanenko, L., (2008). Testing for ellipsoidal symmetry: A comparison study. Computational Statistics & Data Analysis, 53(2), 565581.
1 2 3 4  ## sepal width and length of the versicolor subset of the Iris data
X = datasets::iris[51:100,1:2]
KoltchinskiiSakhanenko(X, R = 10, nJobs=2)

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