Example Data of Antille and May - for Simple Regression

Description

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

Usage

data(exAM, package="robustbase")

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

data(exAM)
plot(exAM)
summary(ls <- lm(y ~ x, data=exAM))
abline(ls)