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Sensors and Microsystems pp 3–14Cite as

With the Eye of the Beholder: An Introduction to the Observation of Multidimensional Data with the Principal Component Analysis

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Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 54))

Abstract

Multivariate data analysis is the necessary tool to study complex phenomena and to analyze data of complex analytical techniques such as chromatography and spectro photometer. One of the most useful approaches in science to experimental data interpretation is the visualization of data. This fundamental operation cannot be simply performed with multivariate data. In this paper, an introduction to principal component analysis is offered as one of the method that can provide a meaningful representation of data in a projection plane. The choice of the projection plane corresponds to the determination of an optimal point of observation where multidimensional data can display most of their meaning.

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References

  1. G. Golub, C. Van Loan, Matrix Computations, J. Hopkins University press, Baltimore, MD, 1996

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  2. C. Di Natale et al., Analytica Chimica Acta 459, 107–117, 2002

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  3. T. Jolliffe, Principal Component Analysis, Springer-Verlag, New York, 1986

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  4. R. Johnson, D. Wichern, Applied Multivariate Statistical Analysis, Pearson Education, Prentice-Hall, 2002

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  5. M. Esti et al., in Artificial and Natural Perception: Proceedings of the 2nd Italian Conference on Sensors and Microsystems (C. Di Natale, A. D’Amico, F. Davide, editors), World Scientific Publ. 1998

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Author information

Authors and Affiliations

  1. Deparment of Electronic Engineering, University of Rome “Tor Vergata”, Via del Politecnico 1, 00133, Roma, Italy

    C. Di Natale

Authors
  1. C. Di Natale
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Correspondence to C. Di Natale .

Editor information

Editors and Affiliations

  1. Dipto. Ingegneria Elettrica, Università di Pavia, Via Ferrata 1, Pavia, 27100, Italy

    Piero Malcovati

  2. Dipto. Fisica, Università Milano-Bicocca, Piazza della Scienza 3, Milano, 20126, Italy

    Andrea Baschirotto

  3. Dipto. Ingegneria Elettronica, Università di Roma, Tor Vergata, Via del Politecnico 1, Roma, 00133, Italy

    Arnaldo d'Amico

  4. Dipto. Ingegneria Eletronica, Universita di Roma - Tor Vergata, Via Orazio Raimondo, Roma, 00173, Italy

    Corrado Natale

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Di Natale, C. (2010). With the Eye of the Beholder: An Introduction to the Observation of Multidimensional Data with the Principal Component Analysis. In: Malcovati, P., Baschirotto, A., d'Amico, A., Natale, C. (eds) Sensors and Microsystems. Lecture Notes in Electrical Engineering, vol 54. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-3606-3_1

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  • DOI: https://doi.org/10.1007/978-90-481-3606-3_1

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  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-3605-6

  • Online ISBN: 978-90-481-3606-3

  • eBook Packages: EngineeringEngineering (R0)

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