# energy-deprecated: Energy Statistic Test of Independence In energy: E-Statistics: Multivariate Inference via the Energy of Data

## Description

Deprecated: use `indep.test` with `method = mvI`. Computes a multivariate nonparametric E-statistic and test of independence.

## Usage

 ```1 2``` ```indep.e(x, y) indep.etest(x, y, R) ```

## Arguments

 `x` matrix: first sample, observations in rows `y` matrix: second sample, observations in rows `R` number of replicates

## Details

Computes the coefficient I_n and performs a nonparametric 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 E = I^2 is a ratio of V-statistics based on interpoint distances ||x_{i}-y_{j}||. See the reference below for details.

## Value

The sample coefficient 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 I `p.value` approximate p-value of the test `data.name` description of data

## Author(s)

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

## References

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,
http://dx.doi.org/10.1016/j.jmva.2005.10.005

## Examples

 ``` 1 2 3 4 5 6 7 8 9 10 11 12 13``` ``` ## Not run: ## independent univariate data x <- sin(runif(30, 0, 2*pi) * 2) y <- sin(runif(30, 0, 2*pi) * 4) indep.etest(x, y, R = 99) ## dependent multivariate data Sigma <- matrix(c(1, .1, 0, 0 , 1, 0, 0 ,.1, 1), 3, 3) x <- mvrnorm(30, c(0, 0, 0), diag(3)) y <- mvrnorm(30, c(0, 0, 0), Sigma) * x indep.etest(x, y, R = 99) ## End(Not run) ```

energy documentation built on Sept. 15, 2017, 1:02 a.m.