Psychometrika

, Volume 2, Issue 4, pp 225–236 | Cite as

A method of factor analysis by means of which all coordinates of the factor matrix are given simultaneously

  • Paul Horst
Article

Abstract

In general, the methods of factor analysis developed during the past five years are based on the reduction of the correlational matrix by successive steps. The first factor loadings are determined and eliminated from the correlational matrix, giving a residual matrix. This process is continued for successive factor loadings until the elements of the last obtained residual matrix may be regarded as due to chance. The method outlined in this paper assumes the maximum number of factorsm in the correlational matrix. Them factor vectors are solved for simultaneously. Once them factor vectors are found, any vectors having only negligible factor loadings may be discarded.

Keywords

Public Policy Factor Loading Correlational Matrix Statistical Theory Factor Matrix 

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References

  1. 1.
    Eckart, C, andYoung, G., “The Approximation of One Matrix by Another of Lower Rank”,Psychometrika, 1936,1, pp. 211–218.Google Scholar
  2. 2.
    Hotelling, H., “Analysis of a Complex of Statistical Variables into Principal Components”,Journal of Educational Psychology, 1933, pp. 432–434.Google Scholar
  3. 3.
    Mills, F. C.,Statistical Methods, Henry Holt and Company, 1924, pp. 577–581.Google Scholar
  4. 4.
    Thurstone, L. L.,The Vectors of Mind, University of Chicago Press, 1935, pp. 78–81.Google Scholar

Copyright information

© Psychometric Society 1937

Authors and Affiliations

  • Paul Horst
    • 1
  1. 1.The Procter and Gamble CompanyCincinnati

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