A fast approximate algebraic factor rotation method to maximize agreement between loadings and predetermined weights
- 42 Downloads
A method of rotating a set of orthogonal axes into a reference frame on which loadings are as nearly proportional to a predetermined set of weights as possible is presented. The method, an approximate algebraic solution, often requires some additional graphical refinement but eliminates most of the rotations involved in usual graphical solutions. Its primary value is speed and ease of calculation, involving only one matrix multiplication and solution of a simple formula to determine the rotation cosines.
KeywordsPublic Policy Reference Frame Statistical Theory Matrix Multiplication Simple Formula
Unable to display preview. Download preview PDF.
- Eysenck, H. J. Criterion analysis—an application of the hypothetico-deductive method to factor analysis.Psychol. Rev., 1950,57, 38–53.Google Scholar
- Mosier, C. I. Determining a simple structure when loadings for certain tests are known.Psychometrika, 1939,4, 149–162.Google Scholar
- Thurstone, L. L. A new rotational method in factor analysis.Psychometrika, 1938,3, 199–218.Google Scholar
- Thurstone, L. L. Multiple-factor analysis. Chicago: Univ. Chicago Press, 1947.Google Scholar
- Tucker, L. R. A semi-analytic method of factorial rotation to simple structure.Psychometrika, 1944,9, 43–68.Google Scholar