robustbase: exAM – R documentation

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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, 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)

robustbase

Basic Robust Statistics

v0.93-7

GPL (>= 2)

Authors

Martin Maechler [aut, cre] (<https://orcid.org/0000-0002-8685-9910>), Peter Rousseeuw [ctb] (Qn and Sn), Christophe Croux [ctb] (Qn and Sn), Valentin Todorov [aut] (most robust Cov), Andreas Ruckstuhl [aut] (nlrob, anova, glmrob), Matias Salibian-Barrera [aut] (lmrob orig.), Tobias Verbeke [ctb, fnd] (mc, adjbox), Manuel Koller [aut] (mc, lmrob, psi-func.), Eduardo L. T. Conceicao [aut] (MM-, tau-, CM-, and MTL- nlrob), Maria Anna di Palma [ctb] (initial version of Comedian)

Initial release

2021-01-04