Rotating the factor loadings
main topic
 

There are four methods to orthogonally rotate the initial factor loadings found by either principal components or maximum likelihood extraction. An orthogonal rotation simply rotates the axes to give you a different perspective. The methods are equimax, varimax, quartimax, and orthomax. Minitab rotates the loadings in order to minimize a simplicity criterion [5]. A parameter, gamma, within this criterion is determined by the rotation method. If you use a method with a low value of gamma, the rotation will tend to simplify the rows of the loadings; if you use a method with a high value of gamma, the rotation will tend to simplify the columns of the loadings. The table below summarizes the rotation methods.

Rotation
method         Goal is ...                                                                             Gamma

equimax

to rotate the loadings so that a variable
loads high on one factor but low on others

number of factors / 2

varimax

to maximize the variance of the squared loadings

1

quartimax

simple loadings

0

orthomax

user determined, based on the given value of gamma

0-1