Abstract
The aim of this work is to detect the best transformation parameters to normality when data are proportions. To this purpose we extend the forward search algorithm introduced by Atkinson and Riani (2000), and Atkinson et al. (2004) to the transformation proposed by Aranda-Ordaz (1981). The procedure, implemented by authors with R package, is applied to the analysis of a particular characteristic of Tuscany industries. The data used derive from the Italian industrial census conducted in the year 2001 by the Italian National Statistical Institute (ISTAT).
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
ARANDA-ORDAZ F. J. (1981): On two families of transformations to additivity for biliary response data. Biometrika, 89, 357–363.
ATKINSON A. C. (1985): Plots, Transformation and Regression. Oxford University Press, Oxford.
ATKINSON A. C. (2002): Robust diagnostics for multivariate analysis and classification problems. Atti della XLI Riunione Scientifica della Società Italiana di Statistica. CLEUP, Milano, 283–294.
ATKINSON A. C., RIANT M. (2000): Robust Diagnostic Regression Analysts. Springer, New York.
ATKINSON A. C, RIANT M., CERIOLI A. (2004): Exploring Multivariate Data with the Forward Search. Springer, New York.
RIANI M., ATKINSON A. C. (2001): A Unified Approach to Outliers, Influence and Transformations in Discriminant Analysis. Journal of Computational and Graphical Statistics, Vol. 10, 513–544.
RIANI M., BINI M. (2002): Robust and Efficient Dimension Reduction. Proceedings of the XLI Riunione Scientifica della Societá Italiana di Statistica. CLEUP, Milano, 295–306.
RIANI M., ZANI S., and CORBELLINI A. (1998): Robust Bivariate Boxplots and Visualization Multivariate Data. In I. BALDEJAHN, R. MATAHAR and M. SCHADER (Eds.): Classification data Analysis and Data Highways. Springer, Berlin, 93–100.
VELILLA S. (1995): Diagnostics and robust estimation in multivariate data transformations. Journal of the American Statistical Association, 90, 945–951.
ZANI S. (2000): Analisi dei Dati Statistici (Volume II). Giuffrè, Milano.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2006 Springer-Verlag Heidelberg
About this paper
Cite this paper
Bini, M., Bertaccini, B. (2006). Robust Transformation of Proportions Using the Forward Search. In: Zani, S., Cerioli, A., Riani, M., Vichi, M. (eds) Data Analysis, Classification and the Forward Search. Studies in Classification, Data Analysis, and Knowledge Organization. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-35978-8_20
Download citation
DOI: https://doi.org/10.1007/3-540-35978-8_20
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-35977-7
Online ISBN: 978-3-540-35978-4
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)