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The Minres Method of Factor Analysis

Harman, Harry H
Publication Year:
Report Number:
ETS Research Memorandum
Document Type:
Page Count:
Subject/Key Words:
Correlation, Factor Analysis, Minres Criterion, Statistical Studies


A long-sought method of factor analysis—involving the minimization of off-diagonal residuals of the correlation matrix—is developed in this paper. Now that it is available, it might well replace the principal-factor and the maximum-likelihood solutions as the preferred initial factorisation of a correlation matrix. The mathematical method found to be most effective for attack on this problem is the Gauss-Seidel process. A program has been written in FORTRAN for the minres solution. A special feature provides for the control of Heywood cases, which have plagued some other methods of analysis. Minres results are illustrated for several examples, and comparisons made with principal-factor and maximum-likelihood solutions.

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