Casey's Method For Fitting Hyperplanes From An Intermediate Orthomax Solution

Abstract

The loadings in the column vector representing a varimax factor are dichotomized into "large" and "small," in absolute value, as to whether they are larger than or equal to, in absolute value, or smaller than, in absolute value, the square of the mean of the square roots of their absolute values. The test vectors associated with the small loadings so designated are fitted to a hyperplane in the standard way, following Tucker. Accomplishing this for all varimax factor provides an oblique solution, of the hyperplane fitting variety, which may be said to correspond closely to the associated orthonormal varimax solution. The procedure, for convenience in reference, is called "Casey's Method." Four examples of the application of Casey's Method are provided.