A Comparative Evaluation of Several Prominent Methods of Oblique Factor Transformation
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TL;DR
The oblimax, promax, maxplane, and Harris-Kaiser techniques are compared and the Harris- Kaiser procedure—independent cluster version for factorially simple data,P'P proportional to φ, with equamax rotations, for complex—is recommended.
Abstract
The oblimax, promax, maxplane, and Harris-Kaiser techniques are compared. For five data sets, of varying reliability and factorial complexity, each having a graphic oblique solution (used as criterion), solutions obtained using the four methods are evaluated on (1) hyperplane-counts, (2) agreement of obtained with graphic within-method primary factor correlations and angular separations, (3) angular separations between obtained and corresponding graphic primary axes. The methods are discussed and ranked (descending order): Harris-Kaiser, promax, oblimax, maxplane. The Harris-Kaiser procedure—independent cluster version for factorially simple data, P'P proportional to Φ, with equamax rotations, for complex—is recommended.