robustbase (version 0.1-2)

exAM: 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)

format

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

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.

Details

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

Examples

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