Description Usage Arguments Details Value Background References Examples
View source: R/PseudoGaussian.R
Tests for elliptical symmetry: specified and unspecified location.
1  PseudoGaussian(X, location = NA)

X 
A numeric matrix. 
location 
A vector of location parameters. 
Note that location
allows the user to specify the known location.
The default is set to NA
which means that the unspecified location test will be performed unless the user specifies location.
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. 
PseudoGaussian tests for elliptical symmetry are based on Le Cam’s theory of statistical experiments. They are most efficient against a multivariate form of Fechnertype asymmetry. These tests require finite moments of order 4 and they have a simple asymptotic chisquared distribution under the null hypothesis of ellipticity.
Cassart, D., Hallin, M. & Paindaveine, D., (2008). Optimal detection of Fechnerasymmetry. Journal of Statistical Planning and Inference, 138, 24992525.
Cassart, D., (2007). Optimal tests for symmetry. Ph.D. thesis, Univ. libre de Bruxelles, Brussels.
1 2 3 4  ## sepal width and length of the versicolor subset of the Iris data
X = datasets::iris[51:100,1:2]
PseudoGaussian(X)

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