R: Kronecker-Invariant Tests for High-Dimensional Separability Testing

# Kronecker-Invariant Tests for High-Dimensional Separability Testing

## Documentation for package ‘kro.inv.test’ version 0.1.2

- DESCRIPTION file.

## Help Pages

dat2cov | Sample covariance matrix of the data tensor.
elrt.alt | Test statistic based on the extended LRT for sphericity testing under the alternative regime
elrt.null | Test statistic based on the extended LRT for sphericity testing under the null
elrt.para | Parameters of the transformation for the extended LRT statistic
elrt.power | Empirical power of the test based on the extended LRT to the sample core under Gaussian populations
elrt.power.dat | Empirical power of the test based on the extended LRT to the sample core with the given data
large.eig.alt | Test statistic based on the largest eigenvalue of the sample core under the alternative regime
large.eig.null | Test statistic based on the largest eigenvalue of the sample core under the null
large.eig.power | Empirical power of the test based on the largest eigenvalue of the sample core under Gaussian populations
large.eig.power.dat | Empirical power of the test based on the largest eigenvalue of the sample core with the given data
pi.core | A covariance matrix with a partial-isotropy rank-r core.
pi.rank1.core | Partial-isotropy rank-1 core
pi.rank2.core | Partial-isotropy rank-2 core
pi.rank_r.core | Partial-isotropy rank-r core.
sep.exp.alt | Test statistic based on the separable expansion test under the alternative regime.
sep.exp.null | Test statistic based on the separable expansion test under the null
sep.exp.power | Empirical power of the test based on the separable expansion the sample core under Gaussian populations
sep.exp.power.dat | Empirical power of the test based on the separable expansion of the sample core with the given data
sym.inv.root | Inverse symmetric square root
sym.root | Symmetric square root
tw.para | Parameters of the transformation to obtain the Tracy-Widom law