Minimum covariance determinant and extensions

M Hubert, M Debruyne… - Wiley Interdisciplinary …, 2018 - Wiley Online Library
The minimum covariance determinant (MCD) method is a highly robust estimator of
multivariate location and scatter, for which a fast algorithm is available. Since estimating the …

Minimum covariance determinant

M Hubert, M Debruyne - Wiley interdisciplinary reviews …, 2010 - Wiley Online Library
The minimum covariance determinant (MCD) estimator is a highly robust estimator of
multivariate location and scatter. It can be computed efficiently with the FAST‐MCD …

Robust estimation of Cronbach's alpha

A Christmann, S Van Aelst - Journal of Multivariate Analysis, 2006 - Elsevier
Cronbach's alpha is a popular method to measure reliability, eg in quantifying the reliability
of a score to summarize the information of several items in questionnaires. The alpha …

High-breakdown robust multivariate methods

M Hubert, PJ Rousseeuw, S Van Aelst - 2008 - projecteuclid.org
When applying a statistical method in practice it often occurs that some observations deviate
from the usual assumptions. However, many classical methods are sensitive to outliers. The …

[HTML][HTML] Robust factor analysis

G Pison, PJ Rousseeuw, P Filzmoser… - Journal of multivariate …, 2003 - Elsevier
Our aim is to construct a factor analysis method that can resist the effect of outliers. For this
we start with a highly robust initial covariance estimator, after which the factors can be …

A deterministic algorithm for robust location and scatter

M Hubert, PJ Rousseeuw… - Journal of Computational …, 2012 - Taylor & Francis
Most algorithms for highly robust estimators of multivariate location and scatter start by
drawing a large number of random subsets. For instance, the FASTMCD algorithm of …

Multivariate outlier detection in Stata

V Verardi, C Dehon - The Stata Journal, 2010 - journals.sagepub.com
Before implementing any multivariate statistical analysis based on empirical covariance
matrices, it is important to check whether outliers are present because their existence could …

Robust sparse canonical correlation analysis

I Wilms, C Croux - BMC systems biology, 2016 - Springer
Background Canonical correlation analysis (CCA) is a multivariate statistical method which
describes the associations between two sets of variables. The objective is to find linear …

Influence functions and efficiencies of the canonical correlation and vector estimates based on scatter and shape matrices

S Taskinen, C Croux, A Kankainen, E Ollila… - Journal of Multivariate …, 2006 - Elsevier
In this paper, the influence functions and limiting distributions of the canonical correlations
and coefficients based on affine equivariant scatter matrices are developed for elliptically …

Robust canonical correlations: A comparative study

JA Branco, C Croux, P Filzmoser, MR Oliveira - Computational Statistics, 2005 - Springer
Several approaches for robust canonical correlation analysis will be presented and
discussed. A first method is based on the definition of canonical correlation analysis as …