data3d

An i.i.d. random sample of size 13 from a 2 x 3 x 2
tensor normal distribution, for a small numerical example of the use of the
functions mle3d_svc and lrt3d_svc from the sEparaTe package

datasets

Maximum likelihood estimation of the parameters
of matrix and 3rd-order tensor normal distributions with unstructured
factor variance covariance matrices, two procedures, and for unbiased
modified likelihood ratio testing of simple and double separability
for variance-covariance structures, two procedures. References:
Dutilleul P. (1999) <doi:10.1080/00949659908811970>,
Manceur AM, Dutilleul P. (2013)
<doi:10.1016/j.cam.2012.09.017>, and Manceur AM, Dutilleul
P. (2013) <doi:10.1016/j.spl.2012.10.020>.

Timothy Schwinghamer

sEparaTe

Maximum Likelihood Estimation and Likelihood Ratio Test
Functions for Separable Variance-Covariance Structures

Ameur Manceur

Pierre Dutilleul

data3d function

A frame (excluding the headings) with 156 lines of data and 5 variables:<dl>
<dt>K</dt>
<dd>an integer ranging from 1 to 13, the size of an i.i.d. random sample from a 2 x 3 x 2 tensor matrix normal distribution</dd><dt>Id3</dt>
<dd>an integer ranging from 1 to 2, the number of rows of the 3rd-order tensor normal distribution</dd><dt>Id4</dt>
<dd>an integer ranging from 1 to 3, the number of columns of the 3rd-order tensor normal distribution</dd><dt>Id5</dt>
<dd>an integer ranging from 1 to 2, the number of edges of the 3rd-order tensor normal distribution</dd><dt>value3d</dt>
<dd>the sample data for the observed variable</dd>
</dl>

Format

Three dimensional data set — data3d

A frame (excluding the headings) with 156 lines of data and 5 variables:<dl>
<dt>K</dt>
<dd>an integer ranging from 1 to 13, the size of an i.i.d. random sample from a 2 x 3 x 2 tensor matrix normal distribution</dd>

<dt>Id3</dt>
<dd>an integer ranging from 1 to 2, the number of rows of the 3rd-order tensor normal distribution</dd>

<dt>Id4</dt>
<dd>an integer ranging from 1 to 3, the number of columns of the 3rd-order tensor normal distribution</dd>

<dt>Id5</dt>
<dd>an integer ranging from 1 to 2, the number of edges of the 3rd-order tensor normal distribution</dd>

<dt>value3d</dt>
<dd>the sample data for the observed variable</dd>


</dl>

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data3d: Three dimensional data set

Description

Usage

Arguments

Format