Skip to main content
SpringerLink
Log in

A necessary and sufficient formula for matric factoring

  • Published:
Psychometrika Aims and scope Submit manuscript

Abstract

For the purpose of extracting factors from matrices, it is proved that a certain formula is both necessary and sufficient. In factor analysis, the formula may be applied either to the correlation matrix, or directly to the score matrix (assuming the communality problem is solved). As many factors as desired can be extracted in one operation. Having such a compact formulation is useful for teaching as well as computing purposes, since it includes all techniques of factor extraction as special cases.

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

Access this article

Log in via an institution

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. Guttman, L. General theory and methods for matric factoring.Psychometrika, 1944,9, 1–16.

    Google Scholar 

  2. Guttman, L. Multiple group methods for common-factor analysis: their basis, computation, and interpretation.Psychometrika, 1952,17, 209–222.

    Google Scholar 

  3. Guttman, L. The determinacy of factor score matrices, with implications for five other basic problems of common-factor theory.Brit. J. statist. Psychol., 1955,8, 65–81.

    Google Scholar 

  4. Harman, H. H. The square root method and multiple group methods of factor analysis.Psychometrika, 1954,19, 39–55.

    Google Scholar 

  5. Lubin, A. Review of Fruchter's Introduction to Factor Analysis,Personnel Psychology, 1954,7, 577–581.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Center for Advanced Study in the Behavioral Sciences, USA

    Louis Guttman

Authors
  1. Louis Guttman
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

On leave from the Israel Institute for Applied Social Research. This research was facilitated in part by a grant from the Lucius N. Littauer Foundation to the American Committee for Social Research in Israel, Inc.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Guttman, L. A necessary and sufficient formula for matric factoring. Psychometrika 22, 79–81 (1957). https://doi.org/10.1007/BF02289212

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02289212

Keywords

Search

Navigation