Multivariate data analysis: the French way. (English) Zbl 1166.62310

Holmes, Susan

Nolan, Deborah (ed.) et al., Probability and statistics: Essays in honor of David A. Freedman. Beachwood, OH: IMS, Institute of Mathematical Statistics (ISBN 978-0-940600-74-4/pbk). Institute of Mathematical Statistics Collections 2, 219-233 (2008).

Summary: This paper presents exploratory techniques for multivariate data, many of them well known to French statisticians and ecologists, but few well understood in the North American culture. We present the general framework of duality diagrams which encompasses discriminant analysis, correspondence analysis and principal components, and we show how this framework can be generalized to the regression of graphs on covariates.
For the entire collection see [Zbl 1159.60006].

MSC:

62H25	Factor analysis and principal components; correspondence analysis
62H30	Classification and discrimination; cluster analysis (statistical aspects)
65C60	Computational problems in statistics (MSC2010)

Keywords:

bootstrap; correspondence analysis; duality diagram; RV-coefficient; STATIS

Software:

ade4