# EL.means: Empirical likelihood test for the difference of two sample... In EL: Two-Sample Empirical Likelihood

 EL.means R Documentation

## Empirical likelihood test for the difference of two sample means

### Description

Empirical likelihood inference for the difference of two sample means. This includes a test for the null hypothesis for a constant difference of mean difference, confidence interval and EL estimator.

### Usage

```EL.means(X, Y, mu = 0, conf.level = 0.95)
```

### Arguments

 `X` a vector of data values. `Y` a vector of data values. `mu` a number specifying the null hypothesis. `conf.level` confidence level of the interval.

### Value

A list of class 'htest' containing the following components:

 `estimate ` the empirical likelihood estimate of the mean difference. `conf.int ` a confidence interval for the mean difference. `p.value ` the p-value for the test. `statistic ` the value of the test statistic. `method ` the character string 'Empirical likelihood mean difference test'. `null.value ` the specified hypothesized value of mean differences 'mu' under the null hypothesis. `data.name ` a character string giving the names of the data.

### Author(s)

E. Cers, J. Valeinis

### References

J. Valeinis, E. Cers and J. Cielens (2010). Two-sample problems in statistical data modelling. Mathematical modelling and analysis, 15(1), 137-151.

J. Valeinis, E. Cers. Extending the two-sample empirical likelihood. To be published. Preprint available at http://home.lanet.lv/~valeinis/lv/petnieciba/EL_TwoSample_2011.pdf.

`EL.Huber`

### Examples

```X <- rnorm(100)
Y <- rnorm(100)
t.test(X, Y)
EL.means(X, Y)
EL.Huber(X, Y)
```

EL documentation built on Dec. 28, 2022, 2:47 a.m.