L'utilisation des tests de sphéricité pour la recherche de la dimension de l'espace latent en analyse factorielle classique et en analyse en composantes principales

I. Anastassakos; G. d'Aubigny

Revue de Statistique Appliquée (1984)

  • Volume: 32, Issue: 2, page 45-57
  • ISSN: 0035-175X

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Anastassakos, I., and d'Aubigny, G.. "L'utilisation des tests de sphéricité pour la recherche de la dimension de l'espace latent en analyse factorielle classique et en analyse en composantes principales." Revue de Statistique Appliquée 32.2 (1984): 45-57. <http://eudml.org/doc/106166>.

@article{Anastassakos1984,
author = {Anastassakos, I., d'Aubigny, G.},
journal = {Revue de Statistique Appliquée},
language = {fre},
number = {2},
pages = {45-57},
publisher = {Société de Statistique de France},
title = {L'utilisation des tests de sphéricité pour la recherche de la dimension de l'espace latent en analyse factorielle classique et en analyse en composantes principales},
url = {http://eudml.org/doc/106166},
volume = {32},
year = {1984},
}

TY - JOUR
AU - Anastassakos, I.
AU - d'Aubigny, G.
TI - L'utilisation des tests de sphéricité pour la recherche de la dimension de l'espace latent en analyse factorielle classique et en analyse en composantes principales
JO - Revue de Statistique Appliquée
PY - 1984
PB - Société de Statistique de France
VL - 32
IS - 2
SP - 45
EP - 57
LA - fre
UR - http://eudml.org/doc/106166
ER -

References

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  1. [1] R. Bargmann (1957). — A study of independance and dependance in multivariate normal analysis, University of North Carolina, Institut of Statistics Mimeographed Series n° 186, Chapel Hill, N.C. 
  2. [2] R.B. Cattell (1966). - The scree test for the number of factors, Multivariate Behavioral Research, 1, 245- 276. 
  3. [3] Francisco C.A. and Finch M.D. (1980). - A comparaison of methods used for determining the number of factors to retain in factor analysis, Technometrics, 105 -110. 
  4. [4] R.L. Gorsuch (1973). — Using Bartlett's significance test to determine the number of factors to extract, Educational and Psychological Measurement, 33, 361-364. 
  5. [5] L. Guttman (1954). - Some necessary conditions for common factor analysis, Psychometrica, 19, 149- 161. Zbl0058.13004MR91235
  6. [6] H.F. Kaiser (1961). - A note on Guttman's lower bound for the number of common factors, British Journal of Statistical Psychology, 14, 1-2. 
  7. [7] A. Kshirsagar (1972). — Likelihood ratio tests ; optimality of principal components, in: Multivariate analysis, Marcel Dekker Inc.New-York. 
  8. [8] A. Leclerc, P. Aiach (1978). - Mesure de l'importance des valeurs propres en analyse des données. Application à l'analyse en composantes principales de variables catégorisées, Revue de Statistique Appliquée, vol. XXVI, n° 1, 5 -21. 
  9. [9] A. Morrisson (1976). - The structure of multivariate observations, in: Multivariate statistical methods, New-York: McGraw-Hill. 
  10. [10] W.F. Velicer (1976). — Determining the number of components from the matrix of partial correlations, Psychometrica, 41, 321-326. Zbl0336.62041
  11. [11] S. Wold (1978). - Cross validatory estimation of the number of components in factor and principal components analysis, Technometrics, 20, 397 -405. Zbl0403.62032

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