Transformation Of Axes In Interbattery Factor Analysis

Tucker's interbattery factor analysis model is briefly reviewed. The various transformational alternatives possible with the model are delineated, and those resulting in identical orientations of the factors -- in the interbattery factor spaces for the two batteries -- are identified and developed further. Transformation in the interbattery context is developed using the Harris-Kaiser logic of oblique factor solutions by orthonormal transformations, and methods for obtaining the necessary common orthonormal transformation matrix are discussed.