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Assessing the Stability of Supplementary Elements on Principal Axes Maps Through Bootstrap Resampling. Contribution to Interpretation in Textual Analysis

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Advances in Data Analysis

Abstract

Bootstrap resampling is commonly used to assess the stability of the configurations issued from principal axes methods. In the case of textual analysis, the interpretation is usually supported by the characteristics of the individuals, used as supplementary variables. To assess the stability of these variables gives information about the global structure stability.

An example issued from a wine guide illustrates the interest of computing confidence regions for supplementary categorical or quantitative variables in correspondence analysis applied to lexical tables.

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Acknowledgments

This work has been partially supported by the Spanish Ministry of Education and Science, FEDER (Grant SEJ2005-00741/ECON) as well as the Catalan Commission for the Universities DURSI (Grant SGR 00004/2005) and Junta of Castile and León (E-107/2004). We acknowledge the Wine Guide editor Mr. Fernando Lazaro for providing us information.

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Correspondence to Ramón Alvarez-Esteban .

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Alvarez-Esteban, R., Valencia, O., Bécue-Bertaut, M. (2010). Assessing the Stability of Supplementary Elements on Principal Axes Maps Through Bootstrap Resampling. Contribution to Interpretation in Textual Analysis. In: Skiadas, C. (eds) Advances in Data Analysis. Statistics for Industry and Technology. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-4799-5_1

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