group.action | R Documentation |
Calculates the pre-specified actions on data. Consider data Z taking values in a sample space Ω. Let \mathbf{G} be a finite group of transformations from Ω onto itself, with M=\vert \mathbf{G}\vert. This function applies gZ as g varies in \bf{G}. If Z is a vector of sizeN and the actions g are permutations, M=N!. If the actions g are sign changes, then M=\{1,-1\}^{N}.
group.action(Z, M, type = "permutations")
Z |
Numeric. A vector of size N to which the group action will act on. In the two-sample testing problem, Z is the pooled sample. |
M |
Numeric. Number of actions to be performed. This is the number of transformations used in the stochastic approximation to the test. This is due to the fact that in some cases M=\vert \mathbf{G}\vert is too large, which makes the application of the actions computationally expensive. |
type |
Character. The action to be performed. It represents gx, the action the action of g\in\mathbf{G} on x\inΩ. It can be either permutations or sign changes. |
Numeric. A matrix of size N\times M where N is the size of input Z and M is the number of actions to be performed on Z.
Maurcio Olivares
Ignacio Sarmiento Barbieri
Lehmann, Erich L. and Romano, Joseph P (2005) Testing statistical hypotheses.Springer Science & Business Media.
Add the following code to your website.
For more information on customizing the embed code, read Embedding Snippets.