Abstract
The forward search is a powerful robust method for identifying the structure of data and for determining the classification of each unit and its effect on the classification of other units. We use plots of the Mahalanobis distances of the individual observations during the search to obtain our classification. Normality of the data is important, so we present a multivariate form of the Box-Cox family of transformations, of course combined with the forward search.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
ATKINSON, A. C. (2002): Robust Diagnostics for Multivariate Analysis and Classification Problems: Società Italiana di Statistica. Atti della XLI Riunione Scientifica: Sessioni Plenarie & Specializzate. Padova, CLEUP, 283–294.
ATKINSON, A.C. and RIANI, M. (2000): Robust Diagnostic Regression Analysis. Springer-Verlag, New York.
ATKINSON, A.C., RIANI, M. and CERIOLI, A. (2003): Robust Diagnostic Multivariate Data Analysis. Springer-Verlag, New York (in preparation).
BOX, G. E. P. and COX, D. R. (1964): An Analysis of Transformations (with Discussion). Journal of the Royal Statistical Society Series B, 26, 211–246.
COOK, R. D. and WEISBERG, S. (1994): An Introduction to Regression Graphics. Wiley, New York.
FLURY, B. and RIEDWYL, H. (1988): Multivariate Statistics: A Practical Approach. Chapman and Hall, London.
FRALEY, C. and RAFTERY, A. E. (1998): How Many Clusters? Which Clustering Method? — Answers via Model-based Cluster Analysis. Computer Journal, 41, 578–588.
RIANI, M. and ATKINSON, A C. (2001): A Unified Approach to Outliers, Influence and Transformations in Discriminant Analysis. Journal of Computational and Graphical Statistics, 10, 513–544.
ROUSSEEUW, P. J. and VAN DRIESSEN, K. (1999): A Fast Algorithm for the Minimum Covariance Determinant Estimator. Technometrics, 41, 212–223.
ZANI, S., RIANI, M., and CORBELLINI, A. (1998): Robust Bivariate Boxplots and Multiple Outlier Detection. Computational Statistics and Data Analysis, 28, 257–270.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2003 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Atkinson, A., Cerioli, A., Riani, M. (2003). Robust Classification Through the Forward Search. In: Schader, M., Gaul, W., Vichi, M. (eds) Between Data Science and Applied Data Analysis. Studies in Classification, Data Analysis, and Knowledge Organization. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-18991-3_1
Download citation
DOI: https://doi.org/10.1007/978-3-642-18991-3_1
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-40354-8
Online ISBN: 978-3-642-18991-3
eBook Packages: Springer Book Archive