# exAM: Example Data of Antille and May - for Simple Regression In robustbase: Basic Robust Statistics

## Description

This is an artificial data set, cleverly construced and used by Antille and May to demonstrate ‘problems’ with LMS and LTS.

## Usage

 `1` ```data(exAM) ```

## Format

A data frame with 12 observations on 2 variables, `x` and `y`.

## Details

Because the points are not in general position, both LMS and LTS typically fail; however, e.g., ```rlm(*, method="MM")``` “works”.

## Source

Antille, G. and El May, H. (1992) The use of slices in the LMS and the method of density slices: Foundation and comparison.
In Yadolah Dodge and Joe Whittaker, editors, COMPSTAT: Proc. 10th Symp. Computat. Statist., Neuchatel, 1, 441–445; Physica-Verlag.

## Examples

 ```1 2 3 4``` ```data(exAM) plot(exAM) summary(ls <- lm(y ~ x, data=exAM)) abline(ls) ```

### Example output

```Call:
lm(formula = y ~ x, data = exAM)

Residuals:
Min      1Q  Median      3Q     Max
-4.8723 -2.0081  0.0378  1.8103  6.3112

Coefficients:
Estimate Std. Error t value Pr(>|t|)
(Intercept)   5.7824     2.6171   2.209   0.0516 .
x             0.3633     0.3784   0.960   0.3596
---
Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

Residual standard error: 3.643 on 10 degrees of freedom
Multiple R-squared:  0.0844,	Adjusted R-squared:  -0.007157
F-statistic: 0.9218 on 1 and 10 DF,  p-value: 0.3596
```

robustbase documentation built on Nov. 17, 2017, 6:46 a.m.