Summary
Principal Component Analysis is most often used as a tool of Exploratory Data Analysis to generate graphical displays. The fixed effect model is then a convenient framework to set up a check list of questions to be adressed to the user, in order to help him to perform the analysis as suitably as possible with respect to his goals and his data. The paper attempts to develop this point of view by integrating several previous discussions into this framework and giving some new developments.
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
AITCHISON, J. (1983), Principal Component Analysis of compositional data, Biometrika, 70, 1, 57–65.
BARRA, J.R. (1985), Méthodes statistiques en psychiatrie Modèles virtuels. In “Model Choice”, Proceed. of the 4th Franco-Belgian Meet. of Statisticians. Publi. des Fac. Univers. Saint-Louis, Bruxelles.
BARRA J. R., BECKER, M. (1985), Conception d’un logiciel d’assistance — Intelligence en analyse factorielle canonique, 4èmes Journées Internat. An. Donnée. et Inform., Versailles.
BENZECRI, J. P. (1973), L’analyse des données; II. L’analyse des correspondances, Dunod, Paris.
BESSE, Ph. (1985), PCA of longitudinal data as a fixed effect model, Fourth European Meeting of the Psychometric and the Classification Societies, Cambridge.
BESSE, Ph. (1986), Choice of a metric in PCA or choice of a model: the case of discrete event data, COMPSTAT 86, Rome.
BESSE, Ph., CAUSSINUS, H., FERRE, L., FINE J. (1986), Une propriété du type Gauss-Markov en ACP; unpublished manuscript.
BESSE, Ph., RAMSAY, J. O. (1986), Principal Component Analysis of sampled functions, Psychometrika, to appear.
CAUSSINUS, H. (1985a), Models and uses of Principal Component Analysis, Multidimensional Data Analysis Workshop, Cambridge.
CAUSSINUS, H. (1985b), Quelques réflexions sur la part des modèles probabilistes en Analyse des Données, 4èmes Journées Internat. An. Donn. et Inform., Versailles.
DOMENGES, D., VOLLE, M. (1979), Analyse factorielle sphérique: une exploration, Annales de 1’INSEE, 35, 3–84.
ESCOFIER, B. (1978), Analyse factorielle et distances répondant au principe d’équivalence distri butionnelle, Rev. Stat. App., XXVI, 4, 29–37.
ESCOUFIER, Y. (1985), L’analyse des correspondances: ses propriétés et ses extensions. Bull. I. I. S., Actes 45ème session, LI, 4, 28–3, 1–16.
GREENACRE, M. J. (1984), Theory and applications of correspondence analysis, Academic Press, London.
HAMOUDA, K.I. (1982), Répartition des crimes et délits au Koweit d’après la nationalité des auteurs, Cah. An. Donn., VII, 1, 117–123.
KATO, T. (1966), Perturbation theory for linear operators, Springer-Verlag, New-York, 1rst ed.
KAZMIERCZAK, J. B. (1985), Analyse logarithmique: deux exemples d’application, Rev. Stat. App., XXXIII, 1, 13–24.
LEEUW, J. DE, VAN RI JKERVORSEL, J., VAN DER WOUDEN, H. (1981), Non linear principal components analysis with B-splines, Methods of Operations Research, 33, 379–393.
MALLOWS, C. L., TUKEY, J. W. (1982), An overview of techniques of data analysis, emphasizing its exploratory aspects, In “Some Recent Advances in Statistics”, J. Tiago de Oliviera et al. ed., 11–172, Academic Press, London.
MC CULLAGH, P., NELDER, J. A., (1983), Generalized Linear Models, Chapman and Hall, London.
WINSBERG, S., RAMSAY, J. O. (1983), Monotone spline transfor mation for dimension reduction, Psychometrika, 50, 1, 91–119.
YOUNG, G. (1940), Maximum likelihood estimation and factor analysis, Psychometrika, 6, 1, 49–53.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1986 Physica-Verlag, Heidelberg for IASC (International Association for Statistical Computing)
About this paper
Cite this paper
Besse, P., Caussinus, H., Ferre, L., Fine, J. (1986). Some Guidelines for Principal Component Analysis. In: De Antoni, F., Lauro, N., Rizzi, A. (eds) COMPSTAT. Physica-Verlag HD. https://doi.org/10.1007/978-3-642-46890-2_4
Download citation
DOI: https://doi.org/10.1007/978-3-642-46890-2_4
Publisher Name: Physica-Verlag HD
Print ISBN: 978-3-7908-0355-6
Online ISBN: 978-3-642-46890-2
eBook Packages: Springer Book Archive