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Benasseni, J.

Influence des poids des unités statistiques sur les valeurs propres en analyse en composantes principales. (French) Zbl 0582.62049

Rev. Stat. Appl. 33, No. 4, 41-55 (1985).
This paper is concerned with the influence of the weights of the observations upon the eigenvalues in principal component analysis. The consequences of a general perturbation of the weights are studied in a first part. The following results are devoted to the perturbation of the weight of a particular observation, the weights of the other observations being only normalized. Geometrical and graphical aspects are pointed out. A practical illustration of a part of the results, based on the well known example of Amiard fishes, is given.

Cited in 2 Documents

MSC:

62H25 Factor analysis and principal components; correspondence analysis

Keywords:

influence of the weights; eigenvalues; principal component; Geometrical and graphical aspects
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\textit{J. Benasseni}, Rev. Stat. Appl. 33, No. 4, 41--55 (1985; Zbl 0582.62049)
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