Test for Multivariate Normal Distribution Based on a Characterization
Rotatable Plot of Surface of Possible Maximum Values of Off-diagonal V...
tools:::Rd_package_title("MVNtestchar")
Rotatable Plot of Slice Through Support Region in Positive Definite 2 ...
Rotatable Plot of Slice Through Support Region in Positive Definite 2 ...
Show Support Region of Positive Definite Matrices with Rank 2
Process the Samples Whose Distribution is to be Tested
Provides a test of multivariate normality of an unknown sample that does not require estimation of the nuisance parameters, the mean and covariance matrix. Rather, a sequence of transformations removes these nuisance parameters and results in a set of sample matrices that are positive definite. These matrices are uniformly distributed on the space of positive definite matrices in the unit hyper-rectangle if and only if the original data is multivariate normal (Fairweather, 1973, Doctoral dissertation, University of Washington). The package performs a goodness of fit test of this hypothesis. In addition to the test, functions in the package give visualizations of the support region of positive definite matrices for bivariate samples.