Standard Errors for Obliquely Rotated Factor Loadings

Author(s):

Jennrich, Robert I.

Publication Year:

1973

Report Number:

RB-73-28

Source:

ETS Research Bulletin

Document Type:

Report

Page Count:

22

Subject/Key Words:

Error of Measurement, Factor Analysis, Mathematical Formulas

Abstract

In a manner similar to that used in the orthogonal case, formulas for the asymptotic standard errors of analytically rotated oblique factor loading estimates are obtained. This is done by finding expressions for the partial derivatives of an oblique rotation algorithm and using previously derived results for unretated loadings. These include the results of Lawley for maximum likelihood factor analysis and those of Girshick for principal components analysis. Details are given in cases including direct oblimin and direct Crawford-Ferguson rotation. Numerical results for an example involving maximum likelihood estimation with direct quartimin rotation are presented. They include simultaneous tests for significant loading estimates. (Author) (22pp.)

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• http://dx.doi.org/10.1002/j.2333-8504.1973.tb00640.x