Skip to main content
Log in

Simultaneous factor analysis of several Gramian matrices

  • Published:
Psychometrika Aims and scope Submit manuscript

Abstract

Given several Gramian matrices, a least-square fit to all the matrices by one factor matrix, with a predetermined number of factors, is shown to be the principal axes solution of the average of the matrices.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Abelson, R. P. Scales derived by considerations of variance components in multi-way tables. In H. Gulliksen and S. J. Messick (Eds.),Psychological scaling: theory and applications. New York: Wiley, 1960. Pp. 169–186.

    Google Scholar 

  2. Ahmavaara, Y. The mathematical theory of factorial invariance under selection.Psychometrika, 1954,19, 27–38.

    Google Scholar 

  3. Cattell, R. B. “Parallel proportional profiles” and other principles for determining the choice of factors by rotation.Psychometrika, 1944,9, 267–283.

    Google Scholar 

  4. Guilford, J. P.Fundamental statistics in psychology and education. New York: McGraw-Hill, 1956.

    Google Scholar 

  5. Meredith, W. Notes on factorial invariance.Psychometrika, 1964,2, 177–185.

    Google Scholar 

  6. Tucker, L. R. The extension of factor analysis to three-dimensional matrices. In N. Frederiksen and H. Gulliksen (Eds.),Contributions to mathematical psychology. New York: Holt, Rinehart and Winston, 1964, 110–127.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Levin, J. Simultaneous factor analysis of several Gramian matrices. Psychometrika 31, 413–419 (1966). https://doi.org/10.1007/BF02289472

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02289472

Keywords

Navigation