Defunct: use `indep.test`

with `method = mvI`

.
Computes a multivariate nonparametric E-statistic and test of independence.

```
indep.e(x, y)
indep.etest(x, y, R)
```

The sample coefficient \(\mathcal I\) is returned by `indep.e`

.
The function `indep.etest`

returns a list with class

`htest`

containing

- method
description of test

- statistic
observed value of the coefficient \(\mathcal I\)

- p.value
approximate p-value of the test

- data.name
description of data

- x
matrix: first sample, observations in rows

- y
matrix: second sample, observations in rows

- R
number of replicates

Maria L. Rizzo mrizzo@bgsu.edu and Gabor J. Szekely

Computes the coefficient \(\mathcal I\) and performs a nonparametric
\(\mathcal E\)-test of independence. The test decision is obtained via
bootstrap, with `R`

replicates.
The sample sizes (number of rows) of the two samples must agree, and
samples must not contain missing values. The statistic
\(\mathcal E = n \mathcal I^2\) is a ratio of V-statistics based
on interpoint distances \(\|x_{i}-y_{j}\|\).
See the reference below for details.

Bakirov, N.K., Rizzo, M.L., and Szekely, G.J. (2006), A Multivariate
Nonparametric Test of Independence, *Journal of Multivariate Analysis*
93/1, 58-80